diff --git "a/data/dm_maths/full_data_2/10615_11255.jsonl" "b/data/dm_maths/full_data_2/10615_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10615_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 8:37 AM and 1:33 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356 and 226956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4982 + 863*i - 4974 - 328*i + (0*i + i - 2*i)*(-3 + 2 + 5) in the form o*i + u and give o.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.57 from 1.737.\nAnswer: 2.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-120)\/(-2)*(112\/(-21) + 6). Solve -3*v + w = -11*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-178)\/60 - (-8)\/(-40). Let k = s + 46\/15. What is the closest to 0 in 0, -4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v - 4*v)*(70 - 107 - 98) to the form g + a*v and give a.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101101000100101101110001?\nAnswer: -101101000100101101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/4*u**4 + 8 + 3*u + u**3 - 2*u**2. Calculate d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196287 and 8628.\nAnswer: 785148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277993\/1104 + 5838\/23. What is the common denominator of s and 1 + 221\/1224*-19 + 3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -307, -290, -271, -250, -227, -202?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 6*j - 5*j)*(76 - 44 - 55 + 3*j) in the form l + w*j + g*j**2 and give w.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2182 - 2234. Suppose s - 2*s - 2*h - 52 = 0, 5*h = 0. Is s smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(432) - (sqrt(432) + sqrt(432) + 0)) + sqrt(432))*-1 - -3*(sqrt(432) + 1))**2 - (-5*(sqrt(432) + sqrt(432) + 2)*-4)**2).\nAnswer: -688898 - 38184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4359797949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/6 and 44\/61945067.\nAnswer: 371670402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*p + 78*p = 34*p + 72181. Calculate the greatest common factor of 145 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90295 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 - 0.44. Let t = y - 0.27. Which is the nearest to 0? (a) 4 (b) t (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, i: 5}. Give prob of sequence ibb.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-2 - 0) + 1. Suppose 0*f + 4*f - 4 = o, t + 1 = 5*f. Solve -30 = v + 5*z, 8 = t*v + 3*z + 43 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.6 + 53. Let b = 0 + 3. Let c = h + b. Is -2\/7 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -43 in ascending order.\nAnswer: -43, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 83720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1587 + -783. Suppose 22*z = 25*z - y. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1795494 divided by -282.\nAnswer: 6367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 546*x - 593*x - 8601. Are x and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1472395 or 1472443?\nAnswer: 1472443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*r - 132451 = -127936 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -12. Suppose -4*t - 3 = -3*t. Sort a, t, 2 in ascending order.\nAnswer: a, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2520\/336)\/(90\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126*z**3 - 7*z**2 + 20*z + 49*z**4 + 67*z**2 - 28*z.\nAnswer: z*(z - 2)*(7*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/28*(-553)\/(-237)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 186580*y - 1679146. Calculate z(9).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4119, -8209, -12299, -16389, -20479?\nAnswer: -24569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 4, -32, -106, -230, -416?\n\"Answer: -2*u**3 - u**2 + 7*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/10)*12\/(-150).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 613096.4 milligrams in nanograms?\nAnswer: 613096400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -496523392 - -496523318.9999989. Let m = b + 73. Round m to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, c: 6, w: 3, n: 3}. Give prob of picking 3 w and 1 e.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -58. Let j(w) = -w**3 - 12*w**2 - w - 21. What are the prime factors of j(h)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12500+4.11\nAnswer: -12495.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64739\/4 - -16185. Let y = -17\/3 - -16\/3. Let i(g) = -g**3 - 9*g**2 - 10*g - 21. Let r be i(-8). Which is the closest to y? (a) 3 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 11840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321641993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 2, q: 3, x: 7}. What is prob of picking 1 x, 1 n, and 2 r?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 2*j**3 + j**2 + (-j + j + j**2)*(4*j - 5*j - j) - j**3 + 0*j + 0*j + j**3 - 3*j**3 - j**3 - 4*j**3 + 2*j**3 + 3*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let r = -1\/8 - 11\/8. Let m = -11\/10 - r. Which is the biggest value? (a) s (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:33 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let f(k) be the second derivative of -k**5\/40 - k**3\/6 + 2*k. Let p(m) be the second derivative of f(m). Determine p(l(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1484470 and 219336.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -10110010101111100?\nAnswer: -10110010101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 4*s. Let c(d) be the second derivative of -d**4\/4 - 5*d**3\/6 + 269*d. Suppose 2 + 2 = -2*f. Give f*c(l) + 3*b(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1866 + 22.2734. Let m = a - 22.5. What is the closest to 0.1 in -2, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 + 9 = 0. Suppose -12 = 5*t - x*g, 0 = 3*t + g + 4*g - 20. Suppose -4*s - 4 = -h, -3*h + 4*s + 0*s - 4 = t. Let m(n) = 2*n - 2. Give m(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**2 + 26*s**2 + 33*s**2.\nAnswer: 73*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*a - 4*a**2 + 4*a**3 + 62*a - 3*a**4 + 62*a - 180*a + 4*a**4 to r*a**4 + y*a**3 + o*a**2 + f + b*a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406974?\nAnswer: 2, 3, 67829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**12*t)\/t*t*t*t**(-12))\/((t*t**(-2))\/(t*t\/t**(-20))) assuming t is positive.\nAnswer: t**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017017603 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (98 - -41 - 81)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qivmmvwwvwmvmimfivvm. What is prob of sequence ifq?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15769*f + 57. Let g(p) = 3941*p + 13. Determine -9*g(y) + 2*m(y).\nAnswer: -3931*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4913560.\nAnswer: 2, 5, 122839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/71 and -79\/135?\nAnswer: 9585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/23)\/z)*z*z\/(z**(-2\/19)*z))\/(z**(-5\/2)\/z*z*z*z*z\/(z\/(z**20*z))*z) assuming z is positive.\nAnswer: z**(-16001\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*b + 38*b - 64*b - 272. Solve -15*f - b*f = 48*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p*(p\/(p*(((p\/((p*p**(1\/4)\/p*p)\/p*p))\/p*p)\/p)\/p))\/p)**(1\/9)\/((p*p**0)\/p*p**(-5)*p*p**(2\/7)*p**(-2\/3)\/p) assuming p is positive.\nAnswer: p**(153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3725236 divided by 19.\nAnswer: -3725236\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.3 + 0.3. Suppose -4*j + 26 = -5*x, -j + 6 = x + 4. Which is the closest to 2? (a) -0.1 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125778\/47 - 2676. Let d = 81\/470 + i. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2213044 and 71\/684.\nAnswer: 19917396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 761*b**2*n**3 - b**2*n - m**3*n**3 + m**3*n**2 - m**3*n + 5*m**2*n + 5*m wrt n?\nAnswer: 4566*b**2 - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3462 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 + 6*v - 6. Let s(i) = 5*i - 134. Let u be s(27). Let t(z) = z**3 + z - 1. Determine u*x(y) - 6*t(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45.8165 or 1\/123?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q, -c + 3*q + 154 = -78. Calculate the remainder when c is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139494419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 4. What is the units digit of (2 + g)*(-10)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44\/2157 - -36991\/1464603. Find the common denominator of 52\/49 and k.\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 949615*d + 10445160.\nAnswer: 5*(d + 11)*(d + 189912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 10) to base 3.\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 60\/(-8))\/(6\/1). Let z = -4 - -4.2. Let k = 0.8 + 0.2. Which is the nearest to k? (a) -2\/11 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(78)*2)\/sqrt(6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.98647 centuries?\nAnswer: 198.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.03, 8, -412.7, -5, 0.09?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -4. Let o = 16.04 - 0.04. Let k = 16 - o. Which is the closest to -1? (a) 1\/3 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 5632 = 19*v. Let z = -274 + v. List the prime factors of z.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587742, 1175497, 1763252, 2351007, 2938762, 3526517?\nAnswer: 4114272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:59 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -1 (b) 4.0048 (c) 3\/4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 2, e: 6}. What is prob of picking 2 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26666624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49867751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 8, m: 1, k: 1, c: 4}. Give prob of picking 1 c and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3\/7 - 1274*w**2 + 57810*w\/7 - 26676\/7 = 0. Calculate w.\nAnswer: 1\/2, 6, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 473 = -h + 26, 0 = -2*h + 2. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*p + 129 = -261, 0 = -5*i + 5*p + 465. Suppose -2*u - z = -34, u - 5*z + 0*z = 39. What is the greatest common factor of u and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 25935227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 3*g. Let h be r(2). Suppose -h*b + 6 = -0*b. Suppose 5*a = -b*k + 21, -2*k - 15 = 3*k. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 5. Let n be b(-10). Let u = 15 - 11. Suppose -2*l + u*w - 36813 = 29183, -3*w = -n*l - 164997. Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, -86, -400, -1048, -2150, -3826?\n\"Answer: -20*y**3 + 13*y**2 + y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595061?\nAnswer: 19, 31319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-2 - 1 - -12 - (30 - 26))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + (sqrt(200)\/sqrt(4))**2)*-1.\nAnswer: -50 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 26*d**2 - 20*d - 31. Let t be o(-2). Suppose -23 = -2*x + 33. Let f = t - x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25, 22, 21, 22?\n\"Answer: n**2 - 6*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(-60 + 27 + 30)*(5 + 0 - 1)*(1 - 1 + g) as a*g + o and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v + 716. Let u be j(10). What is the highest common factor of 92 and u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 3.6, 38\/3, 1?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 260621701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 20. Let k = t - 20. Let i = 47 - k. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43457276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17479 - 17479 + 1166*k)*(-3 + 4 + 0)*(k**2 + 3*k**2 - 2*k**2).\nAnswer: 2332*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/17 + 13714*v**2\/17 + 10480462*v\/17 + 10466750\/17 = 0.\nAnswer: -5981, -875, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, -15, 1\/15, 2.91 in descending order.\nAnswer: 2.91, 1\/15, 1\/16, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -0.3, -2\/3, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, -0.1, -0.19, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224603999*n - 194204592 wrt n.\nAnswer: 224603999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 16*o**2 - 26*o + 29. Let v be s(12). Let y = 297 - v. Solve y*q + 2 = 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261329139 + 35687.\nAnswer: -1261293452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.02. Let d = 0.18 + y. Let r(j) = -j - 2. Let m be r(-2). Do m and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128266 is divided by 1509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4208327 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 221659280 to the power of 1\/2, to the nearest integer?\nAnswer: 14888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-343)\/(-31) - (-3)\/(744\/(-16))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/22320 and 29\/28715.\nAnswer: 128183760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:38 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4960, -5204, -5866, -7156, -9284, -12460, -16894?\nAnswer: -22796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 8*l + 73 = -9*l, -t + 2*t = -l + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6167531 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3240963043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/4*10\/(-35)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + -25 + 13 + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16*f - 8*f + 112 = 0. Solve 0 = -73*z + 74*z - h + 5, -f*z + h = 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 3329 + 599 = 0. Suppose -5*k - 4*a = -2*k - 28, 5*k + 5*a = 50. Calculate the remainder when f is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 4, 0.1, -139\/8?\nAnswer: -139\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143468850.\nAnswer: 2, 3, 5, 7, 139, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + 1 - (8 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -354\/19 less than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 22*i - 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) - 1 - -3. Suppose -4*z + 8*z - r - 5 = 0, -4*z = f*r - 17. Let k(y) = 17*y**2 - 1. Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23004400 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 - 2183\/185. Let o(n) = -n**3 - 8*n**2 + 37*n - 9. What is the tens digit of o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2734, 5482, 8240, 11008?\nAnswer: 13786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 323?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 + -2)**2 + 1*sqrt(252) + 5 + sqrt(252) + -4.\nAnswer: -12*sqrt(7) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 504, -4, -1, -3874, 1 in decreasing order.\nAnswer: 504, 3, 1, -1, -4, -3874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 277850 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -7*i. Let r = -9 - -11. Suppose 2 = g - r. Sort -5, i, g in decreasing order.\nAnswer: g, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1\/7)\/(2\/21). Suppose 95 = -c - a*m + 1618, -3*m + 6137 = 4*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/3 + 2\/((-2)\/1). Let x(h) be the first derivative of -h**4 + h**3 + h**2 + 3*h + 1. Let t(k) = 11*k**3 - 8*k**2 - 6*k - 8. Give s*t(g) - 8*x(g).\nAnswer: -g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57*3\/15*980\/147.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/28)\/(16\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p + 4*p. What is the remainder when (-500)\/(-15) - 1\/p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(267 + 24*m**2 - 267)*(5*m + 0*m + m) - 5*m**3 + 5*m**3 + m**3.\nAnswer: -287*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 8 = -3*t, 2*k = -2*t + 6 + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 26*o**2 - 58*o - 50. Suppose -46*h - 560 = -26*h. Calculate the lowest common multiple of 34 and t(h).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217237 divided by -14.\nAnswer: 217237\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 43 = 5*n - 5*o, -n = -4*o - 23. Suppose -3*v + c + 5 = 0, -c = v + n - 2. Solve v = -2*p + 5*x - 5, p - 2*x + 10 = 3*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 187 = -107. What is the highest common divisor of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 757810219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 582\/66 + 2\/11. Suppose p - b = -0*p. Suppose n + 3 = p. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417503 divided by -24559?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 - 789 = 67*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0730662208 to three decimal places.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5096 and -163\/30576.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (4 + -11) - (-8 + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -1)*5\/(-3). Suppose 32 = l*k + 4*a + 8, 2*a + 2 = k. Suppose -2*i = -3*t + 16, -t + 2 = -0*t - k*i. Solve -t = -2*r + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117017207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1812*r - 1813*r = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 989.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-3\/8)\/d*d*d))\/d**(2\/3))\/(d\/(((d\/d**(-6))\/d)\/d)*d*d*d**(-5)) assuming d is positive.\nAnswer: d**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-54)\/1323*28\/48?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3021*5\nAnswer: -1.5105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (9 - (8 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383600164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 81?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 5*j + 38 = 0, 0 = 4*l - 9*j + 4*j - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -42. Let j = o + -36. Solve -5*y = 2*l - 2*y - j, l + 3*y = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t. Let o(u) be the second derivative of 7*u**4\/4 + 71*u**2\/2 - 21*u. Let r(z) be the first derivative of o(z). What is g(r(d))?\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 4.4. Let o = 48 - 145\/3. Let m = -6.3 - -6.5. Which is the smallest value? (a) j (b) -0.4 (c) o (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 36?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2731*g + 155684. Determine q(57).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/9 - 5056*o\/9 - 562 = 0. Calculate o.\nAnswer: -1, 2529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.30117ml in litres?\nAnswer: 0.01530117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-3 + 3 + 2*d)*((-1 + 2 + 2)*(-4 + 4 - 2*d) + (5 - 5 + 4*d)*(-2 + 1 + 3)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**2 + 0*l**2 + 2*l**2 + l**2 in the form n*l + k*l**2 + x and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986 = 2*b + 488. Find the third derivative of 24*d - 145*d**4 - d**2 + b*d**4 - 5 + 5 wrt d.\nAnswer: 2496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1110010?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.088 + 53.912. Let u = 54.2 - f. Put u, -4, 3\/4 in decreasing order.\nAnswer: 3\/4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3852 - -3855. Solve -548 = -v*f - 557 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p. Suppose 2*w + 6 = p, 3 = -5*i - 4*w + 1. Let u(t) = 3*t**2 + 2*t - 2. Does 7 divide u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10351\/12 + 2590\/3. Let y = 5.5 - 4. Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 11*s**2 + 2*s + 4. Suppose k = -4*k - 40. Let p be f(k). Suppose p = -11*c + 16*c. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.488 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5264 by -4.\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 928 by 777.\nAnswer: 928\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhkkhhhkkvhsskhhk. What is prob of picking 2 h?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -390 - -476. Suppose d*t = 71*t + 195. Solve t*g = 9*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 53822 = 7*v + 4*a, 5*a = 3*v - 32301. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**2)\/z*z**27*z assuming z is positive.\nAnswer: z**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r - 3*h = -77*r + 27, -r - 4*h = 1. Solve -4*j = -3*o - 20, 20*j - 23*j = -3*o - r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 x, and 1 e when four letters picked without replacement from {x: 2, t: 2, b: 8, e: 3}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002817743 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116919 by -3.\nAnswer: -38973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 9*z - 4. Calculate g(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 - b**2 + 14*b. Let r(g) = g**3 + g**2 - g - 1. Let u(x) = -o(x) - 6*r(x). Let a be u(6). What is the units digit of (-20)\/a*(-12)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477713433 to the power of 1\/3, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3078971 is divided by 769741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 1. Let k be q(3). Suppose 5*g = -7*m + k*m + 34, 0 = 3*g + 4*m - 27. Solve -g = -b, 4*o - 22 = -5*b + 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7934760 and 4760856.\nAnswer: 23804280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 20*r**2 - 260*r + 24. Let l be z(-29). Let n(b) = -3*b**2 - 10*b + 33. What is n(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-258)\/8 - 2\/(-8). Let z = y + 57. Calculate the greatest common divisor of 225 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(6\/5))\/y)\/(y\/(y**(-1\/4)\/y)))\/(y\/(y**(-9\/2)*y*y)*y*y**6\/y))**(-3\/16) assuming y is positive.\nAnswer: y**(777\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 - 289*y**2\/3 - 21421*y\/6 - 10421\/3.\nAnswer: (y - 613)*(y + 1)*(y + 34)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -547*b**3*q**3 + 2*b**2*q**2 - 170*b*q**3 wrt b.\nAnswer: -3282*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-4) + 2\/8. Let h = 4 - l. What is the derivative of t + t - 4*t**h - 2*t + 1 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5631119 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucpkmcmcmpmkum. What is prob of sequence mcpu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -646*v**2 + 171*v. Let g(b) = 233*b**2 + 20*b. Let u(q) = -41*q**2 - 4*q. Let w(l) = -2*g(l) - 11*u(l). Give -4*m(r) + 171*w(r).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3837*c**2 - c + 3 - 4750*c**2.\nAnswer: -913*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819891.\nAnswer: 397, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439314914 is divided by 439314905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*b = -16, -4*h + 0*b = 3*b - 60. Let d = h - 9. Let z(j) = j + 2 - d - 5*j**3 + 4*j**3 - 6*j**2 + 2. Give z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/29538 and -109\/49230.\nAnswer: 147690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.98787l to millilitres.\nAnswer: 24987.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/756)\/((-1)\/(-2))*(-21)\/(-133)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 768*l - 59035. Calculate g(77).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5) - 1)*75\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 - 580*t + 7807. What is h(55)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7570100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x + 61. Give s(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-11\/2)*j*(j**(-6\/7)\/j)\/j*j**(3\/23)*j**(2\/3))**42 assuming j is positive.\nAnswer: j**(5255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 2 - (-204)\/16 - (-2)\/8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*q + 117 = 2977 - 517 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76600 divided by 2.\nAnswer: -38300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 1113. Let a = -761 + s. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 659, 1797, 3475?\n\"Answer: 270*w**2 - 212*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 21451567*p. Let q(z) = z. Give q(s(f)).\nAnswer: 21451567*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -11050\nAnswer: -11052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = r. Let u be (-2)\/(-6) + 16\/6. Sort u, r, 1.\nAnswer: r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475211 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomooovoo. What is prob of picking 1 m and 1 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*r + 10 = -7*a - 226*r, -2*a - 4*r = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -0.044 (c) 0.4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w - 4. Let f(i) = -7*i - 2 + 4*i - 3*i. Let o(m) = 3*b(m) - 7*f(m). Find the first derivative of o(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16590*s + 2. Let u(y) = -622689014*y - 75069. What is -75069*o(c) - 2*u(c)?\nAnswer: -16682*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d + 1. Let m = 6 - 4. Let u = m - 0. Suppose 0 = -3*g - 11 + u. Calculate k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100110100101 - 1001?\nAnswer: 110100110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 29. What are the prime factors of g\/12 - (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7242 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.4 (b) -3\/7 (c) -6 (d) -0.1 (e) -0.172 (f) 224 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and -2?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -154003 plus -0.3?\nAnswer: -154003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**8\/3360 + u**5\/60 + u**4\/8 - 3*u**2. Let y(d) be the second derivative of t(d). Differentiate y(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:12 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + v**4 - 44*v - 315*v**3 - 40*v - 166*v**3 + 17*v wrt v.\nAnswer: 12*v**2 - 2886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -165549653 * 0.5.\nAnswer: -82774826.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6660 and -7\/24.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/3*(14 + -2). Let a be (7 + -1)*12\/l. Which is bigger: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/3465 and -113\/13860.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -428 - -262. What are the prime factors of (-9)\/6*b\/3?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702 divided by 3\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8 - m + 0*m - 3*m - m. Let z be l(-6). Suppose z*q + 4*q = 342. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 w when three letters picked without replacement from {w: 4, j: 7, p: 1, n: 3, e: 2}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 44. Let d = -242 - -231. Which is bigger: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 23. What is the remainder when 10 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*a + v + 3, 0 = 4*a + 2*v + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5 = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.69 - -15.49. Let w = c + -14. What is the third biggest value in 0, -2, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 2 - 0 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3880 and 1646672?\nAnswer: 8233360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39224853341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*h + 5, -68*h + 71*h + 5*d + 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 - -130) + (-3 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -167, -2\/7, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 77 = -35. Suppose f + 2*f = 0. Suppose -g = -f*d - 4*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2632561.9 rounded to the nearest 1000?\nAnswer: -2633000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113.9202 and -7?\nAnswer: 797.4414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 2. Let v be g(-4). Suppose 0 = -3*t + v + 45. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -80. Let c = 3 - 1. What is the third biggest value in q, c, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*x - 8*x - x)*(-2 - 1 + 4).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12435979154 from 56.\nAnswer: -12435979098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-5\/2)*x\/x**(-1))\/(x\/((x*x*x*x\/(x**(1\/2)*x))\/x)*x**(1\/12)) assuming x is positive.\nAnswer: x**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 divided by 2?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -393 + 394. Is 3 - (-1273 - l)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -2, 522\/11, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(1261\/388)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/24560 and 37\/3070?\nAnswer: 24560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 + u + 8. Calculate j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6600 = -4*z + 3*v, 4*z - v = -8800. What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179 and 191351.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*t + 2*t - 3, -2*x + 3 = 3*t. Suppose 2 = j, -4*s + 5*j - x = -3*s. What is the least common multiple of s and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 3*p**3 - 3 - 7 - 3 to the form x*p + o*p**3 + h + d*p**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 414*q - 430*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/(-48)*10\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.1, 4, -58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 1 n when three letters picked without replacement from gnnbplp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163.5 - -164. Let z = -3847\/4 - -956. What is the nearest to z in 3, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 9 - (0 - 5 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3333 and -0.04.\nAnswer: 0.2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1428)\/8925)\/((-4)\/(-30)))\/((16\/170)\/4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-10)*(-828)\/92?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6604 and -93\/364.\nAnswer: 46228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = -5210 - 11708. Let a = -784 - t. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-6 - 56\/(-16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = -s - 7, 5*o - 5 = 5*s. Let k = s + -5. Let j = 4 + k. Which is smaller: -1\/9 or j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66837, 534566, 1804113, 4276386, 8352293, 14432742, 22918641, 34210898?\n\"Answer: 66818*c**3 + c**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-23)*y**(-2\/5))**38)**2)**(-13) assuming y is positive.\nAnswer: y**(-116584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.04669873 to one decimal place.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (0\/4)\/(-1). Solve 0 = b*w - 2 + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 - 4 = 4*c - 2*u, -3*c - 87 = -2*u. Put c, 2, -14, -4, -3 in decreasing order.\nAnswer: 2, -3, -4, -14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -731147 by -3.\nAnswer: 731147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101110 + -10011?\nAnswer: 111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 121. Let f be 0\/(y - -5 - 1). Sort 4, f, 2, 6 in increasing order.\nAnswer: f, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 22 - -10) + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 17. Suppose u = i - 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**5\/25 - 23*m**4\/10 - 98*m**3\/5 - 229*m**2\/5 - 208*m\/5 - 12322. Let f(u) = 0. What is u?\nAnswer: -13, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126, 253, 380, 507, 634?\n\"Answer: 127*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let h(b) = -2*b + 9. Calculate h(c(z)).\nAnswer: -4*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -207, -309?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -288322*c*x**3 + 4*c*x**2 - 3*c*x - 2*c + 365*x wrt x.\nAnswer: -1729932*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2025495876 - 0\nAnswer: -2025495876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 68.6 times 0.5\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61884 is divided by 331?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31*p**3 - 4*p**2 - 4*p - 13. Let g = 108 - 103. Suppose 4*z - 16 = 0, -g*z - 14 = -s - 10*z. Is d(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5780137 is divided by 304215?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*r + 440 = 0, 2*m + 445 = -3*m + 5*r. Let f be m\/(-3)*-1*1. Let o = 137 + f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19213 is divided by 417?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -784\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -817 - -188. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312930.2 rounded to the nearest 1000?\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 114. Suppose 42*t = -12*t + 324. Calculate the greatest common divisor of g and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -15. Suppose v = 3*t + 2, b*t + v + 2 = 2*v. Suppose t = 3*s + 5*r - 18 - 26, -5*r + 52 = 4*s. Is 7 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3bb4 + 3?\nAnswer: -3bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + s = -2, -4 = 2*z + 2*s. Suppose z = 5*n - n - 20. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + -5 + ((sqrt(1216) - (sqrt(1216) - 3*4*sqrt(1216))) + 4)*-5))**2.\nAnswer: 720000*sqrt(19) + 109462500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 242 - 290. Which is greater: -135\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 8 + 0*f**4 - 73\/20*f**5 + 0*f**3 + 17*f**2 + f. Differentiate n(v) wrt v.\nAnswer: -219*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 + 395\/(-78))*30\/33 and 7\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 - 294*v - 2 + 8 + 27*v.\nAnswer: -267*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -15, 24, 81, 162, 273, 420?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/2100 and -59\/2076.\nAnswer: 363300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -37, -37, -21, 17, 83, 183, 323?\n\"Answer: i**3 - i**2 - 14*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 - 5. Sort 2\/9, 0.2, l in ascending order.\nAnswer: l, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1645 by -6.\nAnswer: -1645\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + 4.26. Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3*x**4\/4 + x**2\/2 + 1. Let g be s(1). Suppose -80 = -4*z - 5*k, z + 5*k = g*k + 20. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39289860 and 145518.\nAnswer: 39289860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-147)\/(-12))\/(-7)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1119 or -1106?\nAnswer: -1106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 475, 414, 351, 286, 219, 150?\n\"Answer: -a**2 - 58*a + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 - 9*f**2 - 8*f. Let u(i) = 4*i**3 - 3*i**2 - 3*i. Let j(r) = 3*h(r) - 8*u(r). Find the third derivative of j(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786 + -2957492.\nAnswer: -2956706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**2 + g + 2. Let z be l(-2). Let y(h) = 927*h + 4740. Let q be y(-5). What is the greatest common divisor of z and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*v + 9*v - 6209 + 8486 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -330 + 2056. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 15*g**2 - 11*g + 84. Let y be z(7). What is the highest common factor of 64 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -8\/5, -4, 0.0139, 162, -0.3?\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3)\/(-3 + 6). Suppose y*g - 3*g = -15. Suppose -6*z + z = -g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.45, -0.13 in decreasing order.\nAnswer: 9, -0.13, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 575 + 15 = 0. Let x = -53 + u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41 and 9\/740522.\nAnswer: 740522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -911 + 221. Let u = -196 + w. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38343690 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 38. Find the first derivative of -p**u + 8*p**2 + 6*p**2 - 4*p**2 - 19 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5263, 5219, 5171, 5119, 5063, 5003?\n\"Answer: -2*c**2 - 38*c + 5303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*y - 3 - 2)*(-156 - 603 - 149).\nAnswer: 1816*y + 5448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56299 (base 10) to base 13.\nAnswer: -1c819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {v: 5, t: 14, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:37 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -0.03 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 not equal to 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 1161790?\nAnswer: 3485370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 162819 + -29651\nAnswer: 133168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - 3 - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41729.49l in millilitres?\nAnswer: 41729490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2468927 milligrams to tonnes.\nAnswer: 0.0000000002468927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -3. Let a(c) = -1089*c + 13073. Let m be a(12). Put s, 2\/5, m in decreasing order.\nAnswer: m, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 182*a**2 - 24214*a + 1088. What is l(133)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/(-135))\/((-2)\/(-2 + 142)). Solve -6*b = b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.39 + 5.89. What is the nearest to 1 in 6, -1\/5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809676 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5054467 litres?\nAnswer: 505.4467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**6)\/y)\/y)\/y**(1\/2)*y**(-45)\/y**(-21\/4) assuming y is positive.\nAnswer: y**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -2322320212?\nAnswer: -2322320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13216 + 3?\nAnswer: -13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaaaiaaaiiaiiai. What is prob of sequence ia?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*y - 4*y + 37, 0 = -2*t + y - 19. Let n = 19 + t. Let q(j) = -j**3 + 4*j**2 - j - 4. What is the smallest common multiple of q(3) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6281, 6255, 6235, 6233, 6261?\n\"Answer: 2*r**3 - 9*r**2 - 13*r + 6301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 s, and 1 q when four letters picked without replacement from {k: 1, p: 6, y: 4, q: 1, s: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/(-10))\/2 - 2. Let o = 135 + -131. Which is the closest to -14? (a) d (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*u + 18, -3*u = 5*w - u - 30. Suppose -5*x = -11*x - 240. Let q be (x\/(-25))\/(-4) - (-28)\/20. Solve -5*b - w*s - 5 = 0, -b - 3*s - q = -s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*s - g, 2 = -5*s - g - 5. Let f be (15\/(-20))\/(s + (-191)\/(-96)). Let p = -28 + f. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - 24*u - 34. What is a(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 14, p: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 300 - 12*l - 300 as v + u*l and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + 2317*u + 2*u**3 - 1161*u - 1156*u.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2034? (a) 0.9 (b) -0.5 (c) -3\/4 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 6*n**2 + 6. Let w = 16 + -10. Let j(p) = p**3 - p**2 - 1. Give w*j(l) + z(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68719 or 68718?\nAnswer: 68719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1401065, 1401095, 1401141, 1401209, 1401305, 1401435, 1401605, 1401821?\nAnswer: 1402089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 + 11*y - 20. Let s be h(5). Let i(c) = 5 + c + 10*c - s*c + 3. Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42161 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3952 - -3.37. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccczdlzbclczlf. Give prob of picking 1 z and 1 l.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 14*p - 30. What is the highest common divisor of 15 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54378\/288)\/19 + (-2)\/(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -z. Suppose -156 = 15*c - 546. Suppose -4*b + 2*a + c = -16, 0 = b - 5*a - 33. Calculate the lowest common multiple of b and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.609 + -35.\nAnswer: -35.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83675 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, t: 2, r: 5}. What is prob of sequence try?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**3 + 14*z**2 - 33*z + 1. Does 6 divide m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -198, -302?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23991129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423904, -847817, -1271730?\nAnswer: -1695643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*v + 192*v - 3 - 49*v)*(6 - 13 + 8) to the form q*v + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*m - 1506670 = -1512256 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 0, -6325 = -0*h - 5*h - 4*c. What are the prime factors of h?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -33397*n - 200376. Determine h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-18)*((-7728)\/(-315))\/(-92)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225767843 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b + 16. Determine k(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10881, -21766, -32653, -43542, -54433, -65326, -76221?\n\"Answer: -b**2 - 10882*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -2*s + 602. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 (base 5) in base 10?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*l**3 + 3 + (-2*l**2 + 0 + 0)*(l - 1 + 1) + 0*l**3 + 0*l**3 + l**3 - 2*l**3 + 0*l + 0*l + 600842*l**2 + 4*l + 23*l**3 - 600842*l**2.\nAnswer: 22*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.263818 - 7.251. What is k rounded to four decimal places?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*k**3 - 2071*j**2*k**3 - 78*j**2*k*s + 30806*j*k**3*s + j*k*s - 161*j*k wrt j?\nAnswer: 6*j*k**3 - 4142*k**3 - 156*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/43)\/(y*y**(-2\/61)*y) assuming y is positive.\nAnswer: y**(-5099\/2623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -283, -2, 6, -146.\nAnswer: -283, -146, -2, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-301064)\/(-120)*5)\/(-609). Let x = -7\/261 - g. Which is bigger: 22 or x?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 48*a**2 - 17*a - 49*a**2 - 37 - 11*a. Is h(-14) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 191. Let u = y + 78.2. Suppose -1 = p - 0*p. Which is the closest to -1\/3? (a) u (b) 1\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**8\/2184 + n**7\/1365 - n**6\/780 - n**5\/390 - 35*n**2\/2 - 36. Let a(w) be the second derivative of t(w). Factor a(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 294, 326, 390, 486, 614?\n\"Answer: 16*z**2 - 16*z + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -2\/143 (c) -950\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 5*r - 2*r)*(2 + 1 - 1) - 3492*r + 6624439 - 6624439 + 5 + 4*r - 5 to f*r + z and give f.\nAnswer: -3484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from yaarrarmyrmyr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1563 divided by -21.\nAnswer: 521\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/19 or 0?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in 1\/4, 4, -24280?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from {t: 3, j: 4, f: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b**2 - 396*b + 408. Let r(v) = -2*v**2 + 36*v - 37. Suppose -4*g + 8 = 0, -5*g + 108 = 4*h - 30. Let s(j) = h*r(j) + 3*l(j). Factor s(c).\nAnswer: -4*(c - 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/441515 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4956*x**3 + 419*x**3 + 161162*x - 161161*x)*(-2 + 3 - 2).\nAnswer: -5375*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 15*w + 44. Let s be z(-3). Suppose -5*x - 46 = -4*x + 2*f, 3*f = -5*x - 223. Let d = 42 + x. Which is the third smallest value? (a) -4 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/3 + 20*l**4\/3 - 12*l**3 + 28*l**2\/3 - 8*l\/3.\nAnswer: -4*l*(l - 2)*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -3a?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 705?\nAnswer: 6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g - 3*g)*(-3*g + 4*g - 2*g) - 19*g + 19*g - g**2 + 1062*g**2 - 1535*g + 1535*g.\nAnswer: 1063*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y*y\/(y*(y**(2\/3)\/y)\/y)))**27*(y\/y**(-2\/7)*y)**21)\/((y\/y**(1\/3))**15\/(y**(2\/7)*y*y**6)) assuming y is positive.\nAnswer: y**(-313\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31406*b - 588996 + 3096958 = -1606224 for b.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-16) + (-12354)\/4. Let x = k + 4343. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkmsyysskykkssssm. What is prob of sequence kkk?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 19 = -11*a. Solve -4*z = z + a*h + 5, -2*h + 2 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:23 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848660 is divided by 10420?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**3 + 2 + 0 + 236*a**2 - 116*a**2 - a**3 as u + h*a**2 + p*a + w*a**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 7:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - 4.5. Let j = 30.952 + 0.048. Let d = j - 30. What is the nearest to d in -0.3, 4, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*774\/(-4). Suppose 19 - 558 = -7*p. Let d = w - p. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 5*b - 6. Let t(a) = 2*a**2 + 6*a + 7. Suppose 124*h = -410 - 210. What is h*t(o) - 6*q(o)?\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17223 (base 10) to base 13\nAnswer: 7abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.01735 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 15840*t + 20908800 = 0. Calculate t.\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**2\/2 - 6*s - 2. Let n = 11 - 6. What is the least common multiple of p(n) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 5*j - 4*v + 75, -4*j + 5*v + 288 = 0. Let y = j - 51. Let g be y\/6*(-90)\/(-60). Solve 9*m + 5*h = g*m, 5*m - 24 = 3*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**2 + 5*b + 7. Let q = -69 - -69. Let c(f) = -f**2 - 5*f + 7. Let v be c(q). Let d(i) = 6*i**2 + 3*i + 4. Calculate v*d(s) - 4*t(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 5952.6?\nAnswer: 5952.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 11\/2*d**4 - 4\/3*d**3 - 142 + 87*d + 0*d**2. What is the first derivative of z(g) wrt g?\nAnswer: 66*g**2 - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + s**3 - 4*s**3)*(1 - 5 + 2) - s**3 + s**3 - 3*s**3 - s**3 + 0*s**3 + 2*s**3 + (4*s - 5*s - 9*s)*(1 - 1 + 2)*(8 + s**2 + 4 - 4).\nAnswer: -24*s**3 - 160*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -4.4. Let m = -57 + 56.6. What is the nearest to 2\/11 in -0.3, m, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-107 + 115 - (0 + -11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1153*j + 69. Let q(m) = 105*m - 6. Let k(a) = 2*b(a) + 23*q(a). Let x(o) = 36*o. Give -3*k(z) + 8*x(z).\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -19*x**5\/5 + 3*x**3 - 18. Find the third derivative of c(z) wrt z.\nAnswer: -456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-g + 3 - 3) - 2*g + g + 2*g - 6*g - 7*g + 7*g)*(-g**2 - 3 + 3)*(-2 - 2 + 7).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 866 by -866.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -90. Suppose 4*j - 7*j = c - 8, -i*j + 16 = c. Solve 0 = -j*p + 3 - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452222 - -1?\nAnswer: 452223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*k**4 + 158*k - 82*k - 76*k + 82*k**2 wrt k.\nAnswer: 2472*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18815258*s**6 + 12782676*s**2 - 1 wrt s.\nAnswer: -2257830960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15244 (base 6) to base 10.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1909943 and 1909833 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (88*20\/1980)\/4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138827.\nAnswer: 13, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010\/22979 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -14*q - 286 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/(-10)*2)\/((-9)\/(-10)*476\/(-1071))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45681054*u - 45681065*u + 91362116*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214576*r = 214635*r. Suppose 4*q**3 + 3*q + r + 1\/2*q**4 + 13\/2*q**2 = 0. Calculate q.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = -2*y + 201 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*t**4 - 5732*t**3\/3 - 179168*t**2 - 6226176*t - 128116736\/3.\nAnswer: -(t + 88)**3*(21*t + 188)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -42, -64, -88, -114, -142?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3955, 2, 1, -3, -213, 5, -5 in decreasing order.\nAnswer: 5, 2, 1, -3, -5, -213, -3955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/18)\/(((-132)\/18)\/11). Sort 5, h, -62, -1, 1 in descending order.\nAnswer: 5, 1, h, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 56.9. Sort 1\/3, 3, f in decreasing order.\nAnswer: 3, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 14 + 14)*(-3*y + 3*y - 9*y**2).\nAnswer: -144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 18*a - 2. Let p be j(11). What is the greatest common divisor of p and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) 1 (b) 0.6 (c) 5 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19084582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.177, 2\/5, 1\/6, -81, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssffsfs. Give prob of picking 1 f and 3 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/2193085 and -36\/85?\nAnswer: 2193085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5165541, 10331082, 15496623, 20662164, 25827705?\n\"Answer: 5165541*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 154845?\nAnswer: -154842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 x when three letters picked without replacement from zduddudzzxdxxxxdddxx?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -12) + -5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 6, s: 4, d: 1}. What is prob of sequence mmsm?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - 20*b - 45. What is the hundreds digit of w(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxxxfxtxtft. Give prob of sequence fxxx.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.684 + 4.564. Sort a, -0.07, 0.4 in ascending order.\nAnswer: -0.07, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 9, k: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 517.361\nAnswer: -517.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a. Let s(k) = -102*k**2 - k - 20. Let d(i) = -206*i**2 - 2*i - 50. Let o(m) = -2*d(m) + 5*s(m). What is o(n(b))?\nAnswer: -882*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83674398 a multiple of 1868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635867*m**3 - 10*m**2 - 26324*m.\nAnswer: -3815202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 4 + 8 + -6 + 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 + 17*r**2 - 2*r - 21. Calculate h(-7).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 3*k + 2. What is p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 308*u + 25 = -158*u - 151*u, u + 4*u + 145 = -15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817692408 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894804023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let f be ((-204)\/(-8))\/(6\/8). Suppose 4*p - f = 22. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 151528160551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2, 5, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -480, -1906, -4282, -7608?\n\"Answer: -475*y**2 - y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 2*z. Let t be (3\/3 - z)\/1. Is (t + 337)*1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.966152 meters in nanometers?\nAnswer: 3966152000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((-2*sqrt(325) + sqrt(325) - sqrt(325)) + 5))**2 + 1 + ((sqrt(325)*-2 - sqrt(325)) + 4)**2)*-3 + 1.\nAnswer: -72425 + 5160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 3\/4, -1\/10 in decreasing order.\nAnswer: 7, 3\/4, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let r(a) = -a. Let p be 2 + 3 + -2 + 1. Let x(s) = p*i(s) + 7*r(s). Let d(m) = -15*m. What is x(d(c))?\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from {v: 3, w: 11, p: 1}?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 135*v**2 + 17*v - 17. Determine u(1).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 2*b - 15, -b + w - 5 = 0. Let m(t) = 0*t**2 + 2*t**2 + b*t**2 - 2 - 5 - 6*t. What is m(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f - 1. Let x = -2 - -7. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 + -219. Calculate the greatest common factor of 72 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/5)\/(132\/220))\/((-11)\/825)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:45 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 34 = -3*b, 139907*b + 2*w = 139909*b + 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 4. Let m be w(0). Let d be 7\/m + (-1)\/(-4). Let a = d - -2. Solve 0*t + 27 = -3*t - 3*v, 32 = -3*t - a*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 367942812.0000117 + -367942685. Let r = a - 127. What is r rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 57. Calculate the lowest common multiple of 12 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.205 at most 10530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/((12\/(-8))\/(9\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + z = 5, 6 + 14 = 3*t + 4*z. Suppose t = -8*k + 20 + 12. Solve -k = 2*c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 5*z**2 + 6*z + (-4 - z + 4)*(-2 + 2 + z))*(0 + 0 + 2*z**2).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1356391 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*l**2 + 6 + 8 - 12.\nAnswer: 171*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14131940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90342, -361375, -813106, -1445541, -2258686?\nAnswer: -3252547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, o: 3, c: 4}. Give prob of picking 3 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 43093850 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.879224 from 2.\nAnswer: -1.879224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/4 + 19*x**3 - 79*x**2\/4 - 77*x\/2 = 0 for x.\nAnswer: -77, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2. Suppose -5*c + 14 = -3*c. Let q be r(c). Does 20 divide 3\/q - 118\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 10. Let l(k) be the first derivative of 3*k**2\/2 + 13*k + 1. Suppose 5*y - 5*q = -5, q + 0 = -4*y - 9. Let h(b) = -b - 4. Give f*h(s) + y*l(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(2 + (-160)\/75). Let d(n) = -23*n - 12. Let w be d(-7). Let s = x + w. List the prime factors of s.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/78 + -1585\/156. Calculate the common denominator of c and -143\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5637, 9012, 12399, 15804, 19233, 22692, 26187, 29724?\n\"Answer: j**3 + 3368*j + 2268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6722 + 6722 + 458*x**2.\nAnswer: 458*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 99*o - 3. Let n(y) = -y**2. Give n(v(g)).\nAnswer: -9801*g**2 + 594*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 15 - 9)*(50*b**2 + 78*b**2 - 83*b**2).\nAnswer: -675*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2519 + -820. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 7*s**2 + 3*s - 8. Let c be k(7). Let p = c + 11. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -416, -1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 42. Let n = 19 + j. What is the remainder when (-56)\/(-10)*20\/8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/30 - g**4\/24 - 8*g**2. Let f be w(-1). Solve -f*d - 5 = -l, 10 = 3*d + 5*l - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 39 - 9)*(47 + 18*u - 47).\nAnswer: 1512*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*h + 979 = 0, h - 47 = o - 364. Let x = -61 + 88. What is the remainder when o is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.7498?\nAnswer: -5.7498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - o - 17 = 0, g + 2*o + o = -19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*77.67\nAnswer: -233.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/((b**(-6\/5)*b)\/b*b)*b)))\/b)\/b**(3\/8) assuming b is positive.\nAnswer: b**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 463352 by -34.\nAnswer: -13628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + 185 + -58 + -84.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 27*w + 1. Let q(y) = 9*y**2 - 54*y + 2. What is 2*q(d) - 5*r(d)?\nAnswer: -2*d**2 + 27*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10*u**5 + 15174*u**4 + 899308*u**3 + 7732776*u**2 - 27625808*u - 12230400 = 0.\nAnswer: -1456, -50, -14, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -0.79. Let u = s + 0.7. What is the nearest to -0.1 in 3, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 17 = -u + 3*o, u = -4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1895*26\/(-3510) + 2*7\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 7. Let b be m(5). Let v(x) = 43*x**2 - 4*x + 1. Let a be v(b). Round a to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.8 (c) 0.13799 (d) 32 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaafrxwwafw. Give prob of sequence xfw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-20)\/(-50)). Let b be (-6)\/(-9)*6\/2. Suppose 3*r - 4*r + 2 = 0. Solve -b*d = -3*k - 15, -r*k + x*d = 7 + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1674*i - 3323. Give o(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*i**2 + 1321*i - 678*i - 671*i.\nAnswer: 183*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -5 (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513565 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, -2, 0.018, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 789, 1791, 4511, 9807, 18537, 31559?\nAnswer: 49731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68272 is divided by 22750?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m**5\/5 - 9822*m**4\/5 + 848247*m**3\/5 + 1478724*m**2\/5 + 373524*m\/5 - 247152\/5 = 0. Calculate m.\nAnswer: -542, -1, 2\/7, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 (base 8) in base 3?\nAnswer: 112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(268\/480 + (-33)\/55).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**11\/4620 - g**7\/840 - g**4 + 14*g. Let z(o) be the third derivative of n(o). What is the third derivative of z(t) wrt t?\nAnswer: 1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -19, -35, -51, -67?\n\"Answer: -16*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**4 + 190*n**3 - 1195*n**2 - 190*n + 1200 = 0.\nAnswer: -1, 1, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*k = 102*k + 3564. Calculate the least common multiple of k and 297.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-3861)\/10890*66?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2927 + 3*a + 6490 - 3563.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 8*g**2 + 1. Let y = -7 + 15. Let q be k(y). Suppose 0 = -4*c + 11 + q. What is the highest common divisor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) 3\/2 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**4 - 236*t + 682 wrt t?\nAnswer: 8*t**3 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18382 is divided by 201?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -0.9. Let y = -3 - -3.3. Let t = 4 + -1. What is the closest to b in y, t, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 106. Let p = -83 - f. Solve 0 = b + 7*b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142338545.\nAnswer: 5, 28467709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*s**2 - 123*s**2 - 103*s**2 + 190*s wrt s.\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - -0.02. Let o = 0.38 - q. Let s = 1.4 + -1. Put o, s, -1\/5 in increasing order.\nAnswer: -1\/5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.06, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l + 1. Let x be 4\/22 - (-26)\/(-22). Is k(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -4, -8, 5, 39 in ascending order.\nAnswer: -8, -4, 5, 39, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = 629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/((-2)\/(-978)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:51 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -99. Which is the closest to 2? (a) d (b) 2\/11 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5855.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*h**2*q + h**2 + 75297*h*q wrt h.\nAnswer: 200*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 385214293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n**2)*(-16 - 4022*n + 17 + n**3 + 3344*n).\nAnswer: n**5 - 678*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*4*(sqrt(1573)*-3 + -4))**2.\nAnswer: 105600*sqrt(13) + 5669198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*o**3 + 45*o**3 - 58*o**3 + (-4 + 4 + 1)*(o - o - o**3) + (0 + 0 - 2*o**3)*(3 - 2 + 1).\nAnswer: -71*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2629110 and 20790?\nAnswer: 165633930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581*z - 3 + 3 + 237*z.\nAnswer: -344*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -439.193 - -439.1. Which is the closest to -1? (a) -4 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**3 + 46*c**2 + 1\/350*c**7 + 1\/30*c**4 + 0 + 0*c - 1\/120*c**6 - 1\/75*c**5. Find p, given that m(p) = 0.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from rruu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 19 + 33. Which is smaller: s or -24?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*u = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/60 - s**4\/24 - 4*s**3\/3 + 2*s**2. Let b be w(6). Let j be (-2)\/11 + (-288196)\/b. Round j to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -16. Suppose 71 = 6*r - j*r. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n + 20 = 5*m, -n + 3*m = 14. Let b(f) = -f + 6 + n - 7. Let y(o) = o. Determine b(y(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n - 6*n + 5*n + 12. Let v be ((-4)\/1 - 0) + 25\/(-5). Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Let z(n) = -n - 11. Let r(o) = o + 11. Let t(m) = v*z(m) + 4*r(m). Let i be t(-6). Solve -5*p + 20 = -i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406111 (base 12) to base 2.\nAnswer: 11110101100100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*j + 3590132 = -53*j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2063*r - 2073*r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -605950 by -17.\nAnswer: 605950\/17","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Product of 250.4 and 0.06.\nAnswer: 15.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12618 in -399, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4868929 is divided by 452?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**2 - 4*a + 3. Let c(k) = -5*k**2 + 14*k**2 - 4 + 4*k + k. Let n(g) = -31*g - 221. Let b be n(-7). Let m(d) = b*w(d) - 3*c(d). Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x - x)*(413*x - 756*x - 1307*x) to b + v*x + c*x**2 and give c.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - 277986?\nAnswer: -277936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 8, 535.\nAnswer: -5, 3, 5, 8, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 31 + -26 + (5 - 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*u - 10805 = -11321 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j - 1. Suppose -12 = -6*i + 3*i. Determine l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 677, 1546, 2415, 3284, 4153, 5022?\n\"Answer: 869*g - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5 + 26. Let v = 11 - x. What is the highest common factor of v and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/213 + 23\/5112. Let g be 1\/(-3)*(-47 - -44). Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 105. Let i be -5 - (972\/16)\/m. Let x = 12 + i. Which is smaller: x or 27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -432\/11 (c) 0.5 (d) -1 (e) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 + 6*d**3 + (2*d - 2*d + 2*d)*(-d**2 + 4*d**2 - 4*d**2))*(-3 + 1 + 3)*(-28*d + 14*d - 25*d).\nAnswer: -156*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19*14*((-25)\/(-1050))\/((-2)\/(-6))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, 1, 2\/55, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2. Let w(k) be the second derivative of k**4\/24 - k**2 - 8*k. Let x(u) be the first derivative of w(u). Determine v(x(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*t - 2*d = -193*t - 432, -5*d + 555 = 5*t. What is the greatest common factor of 4375 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*w - 3*u + 3, -4*w - 4*u = 40. Let r = 8 - w. Calculate the remainder when 27 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13 != -1143080.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 59, 170, 393, 770, 1343, 2154, 3245?\nAnswer: 4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 6, j: 6, x: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 66267*q. Let l(h) = 4*h**2. Give p(l(a)).\nAnswer: 265068*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + 5 + -5 + -2*(-2 + sqrt(72) - sqrt(72))*-3 + 0)**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = 4*b, 7 = -2*j + 4*b + 1. Let i = 16 - j. Calculate the remainder when i is divided by ((-22)\/(-8))\/((-2)\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5397.486nm?\nAnswer: 0.000000005397486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254.371 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*32\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/22)*v**0)**34 assuming v is positive.\nAnswer: v**(391\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) + 80\/(-150). What is the closest to l in -1, 5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1890377*g**2*v**3 - 7269*g**2 + 8*g*v**3 + 16867*v**2 wrt v?\nAnswer: -11342262*g**2 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 + 14*l + 55. Give r(-6).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30552 + -30500. What is the fourth biggest value in -2\/9, t, -0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -11. Let a be (-4)\/(-6) + (-64)\/6. Let t(c) = 3*c**3 + 5*c + 25 - 20 - c**3. Let f(u) = -u**3 - 2*u - 2. Determine a*f(g) + j*t(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10 = 3*p, -4*p + 5 + 16 = -k. Let x be (-4 + -1)\/(k\/1). Solve -s = 4*u - 13 + 4, -x*u + 6 = -4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l + 3*d, -4*d = -l + 4*l - 16. Sort -1, 4, l in ascending order.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6588 = -4*s + 1398, 0 = -s - 4. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - z**2 + 5. Determine u(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -929, -907, -863, -791, -685?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -223*f**2 + 110*f**2 + 111*f**2. Let q(y) = -47*y**2. Give q(t(s)).\nAnswer: -188*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26030 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-2470)\/209 + ((-42975)\/92070 - (-3)\/9).\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2 = 5*n, 22*n - a = 24*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3693\/4 + -922. Solve -p + 1\/4*p**4 - s*p**3 + 2*p**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqh when three letters picked without replacement from {q: 4, e: 1, v: 5, y: 1, h: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 77.13. Let u = -2.17 + r. Let f = u + 3.5. What is the fourth smallest value in 1\/4, 2, -0.4, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*4\/(-8))\/((-5)\/10). Suppose 9887 = 3*i - c*w, 8*w - 16520 = -5*i + 3*w. Is (5 - 6)\/(((-2)\/i)\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 4\/3*q**3 + 4*q + 1\/20*q**5 + 0 - 4*q**2 - 7\/12*q**4. Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 - 3*a + 10. Calculate x(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ryczececrcrezyycyzc.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 179. Determine f(-33).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x + 10. Let m(u) = 7*u**2 - 2*u + 3. Let h be m(x). Suppose 3*n - 5*c = 1, -4*n + 3*n = 5*c - h. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 13900 - 12521 = -6869. What is the highest common factor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**2 + 2 - 1\/4*k**4 + 0*k - k**3. Let q be o(-4). What is the nearest to q in -0.3, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3\/10, -0.4, -2.1, 5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuyyhffuyfffx. Give prob of picking 1 x and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 58*m + 0*m**5 + 1\/2*m**2 + 0*m**3 + 0*m**6 - 31\/12*m**4 + 0 + 61\/42*m**7. Find the third derivative of n(k) wrt k.\nAnswer: 3660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/(-4) - 2\/(-4). Suppose 2*t + 6*n - 2*n - 20 = 0, 0 = -2*t - 5*n + j. Factor t*k**4 - 3*k**4 - k**4 + 12*k**3 + 6*k**4.\nAnswer: 4*k**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 119, -9*m - 3*n = -10*m - 25. Put 97, -5, m in descending order.\nAnswer: 97, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9955 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260696 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 - 97. Let m = 395 - n. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*x*x**6*x**(-2\/3)*x**17)**14 assuming x is positive.\nAnswer: x**(4732\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 8:29 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u - 294 = -411. Sort u, 175, 4 in increasing order.\nAnswer: u, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2 - 25*p**2 - 10 + 7*p**2 + 11*p**2 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150711019573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j**2 + 4*j + 2. Let b be 3\/(4 + (102\/(-24) - -1) - 0). Let f(g) = 10*g**2 + 3*g + 1. Calculate b*f(r) - 3*i(r).\nAnswer: 10*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from uuuaaauiuuuaa?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b**3 + 7*b**4 + 32*b - 32*b as j*b + p*b**3 + k + g*b**2 + m*b**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -152*b + 322. Determine h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 20. Let g(k) = 9*k**2 - k. Is g(v) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w - 25. Let c be ((-2)\/w)\/((-2)\/60). Suppose -a + c = 2*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 730, 1068, 1388, 1684?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 619\/2 - 320. Let h = j - -83\/8. Let z be ((-3)\/4)\/(12\/16*-1). Sort -1\/10, z, h, -0.2 in descending order.\nAnswer: z, -1\/10, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48400\/3 + 880\/3*q + 4\/3*q**2 = 0. Calculate q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = 16. Let u be -4 + (q - 9\/3). Is u less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268896.\nAnswer: 2, 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -57. Solve 5*m - 25 = 0, s = -3*m - v + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2295681 micrometers in centimeters?\nAnswer: 0.00002295681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b\/b**(-16))\/b))\/(b**(-11)\/b)*b**5\/(b*b**(2\/27)\/b) assuming b is positive.\nAnswer: b**(25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 + 5*v + 4. Let d be x(5). Suppose -3*q + 35 = d. Let i(t) = 537 - 2*t - 537 - t**q. What is i(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + (-8271)\/1035)*10. What is the nearest to -0.1 in 2\/15, -1, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 104044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 21*m**2 - 18*m - 7. Determine z(-20).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17372214 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4861006 or 4861008?\nAnswer: 4861008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + 2)**2*-1 - (sqrt(14)\/(2*sqrt(567)))**2.\nAnswer: -487\/162 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 88 = -4*y. Suppose 7*v = y - 8. Suppose v = 3*k - 61. What is the smallest common multiple of k and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:04 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**3 + 2*r**2 + 65*r + 4241. Let l(p) = 60*p**3 - 10*p**2 - 323*p - 21205. Let g(x) = -11*k(x) - 2*l(x). What is the derivative of g(m) wrt m?\nAnswer: 3*m**2 - 4*m - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/10 - 187*g**4\/12 - 58*g**2 + 4*g - 14. Differentiate a(p) with respect to p.\nAnswer: -6*p**2 - 374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 10:30 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + q**2 - 2*q**2 + (-3*q + 2 - 2)*(4*q - 6*q + 4*q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (11 + -4 + 16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y**2 - 11*y + 51. What is the units digit of v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3268*n**3 + 43*n + 5?\nAnswer: -19608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.8 - -12?\nAnswer: -317.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-13)*l*(l\/(l*(l\/(l**(-4\/3)*l))\/l))\/l*l assuming l is positive.\nAnswer: l**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*14*((-574275)\/494)\/(-155)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -16, -26, -38, -52, -68, -86?\n\"Answer: -g**2 - 5*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62550429 is divided by 4899.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(14\/5))\/(((b**(-3\/11)*b)\/b)\/b))**(-6) assuming b is positive.\nAnswer: b**(-1674\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*u + w, -4 = w - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74105, -74118, -74133, -74150, -74169?\nAnswer: -74190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:56 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjv when four letters picked without replacement from {v: 2, p: 10, j: 7, o: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104417, 7, 46 in increasing order.\nAnswer: 7, 46, 104417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/(x**3*x))**(-5) assuming x is positive.\nAnswer: x**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190934781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -104. Let p be 8\/(-6) + s\/(-9). Suppose -p*h - 4*t + 20 = 0, -2*h - t - 3*t = -14. Solve 8 = -2*j, -h*j - 15 = -0*o - 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11657808810 less than 3?\nAnswer: 11657808813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6\/360 + 11*s**5\/120 + 5*s**4\/8 - s**3 - 5. Let w(r) be the third derivative of a(r). What is the units digit of w(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from vdwwiiidvdiiiwvwd.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 10:54 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -73*g**7\/210 + 17*g**5\/30 + 92*g**2. Find the third derivative of s(t) wrt t.\nAnswer: -1752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22230300 + 3301?\nAnswer: 22300201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 + 4*o - 2. Let w be f(4). Suppose 1 = -3*a - m + w, m = a - 31. Let b = -20380 - -20504. Calculate the highest common factor of a and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9885.149 centuries to months.\nAnswer: 11862178.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -102.9. Let h = -5.4 + 0.4. What is the nearest to f in h, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -55. Let b = -21 - v. Let k = b + 4.00000085. What is k rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*n + 195*n - 1 + 420*n + 1 in the form d + u*n and give u.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2*n**2 + 6*n**3 - 2 - 64*n + 70*n as r + z*n**3 + o*n + p*n**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1776 = x + 5*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.469003451.\nAnswer: 0.869003451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(128) - -6*(sqrt(128) + 1) - (1 + 0 + sqrt(128))) + 3 + -4)**2*-4.\nAnswer: -18532 - 1920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 9*x**3 - 84 - x**2 + 2*x**2 as z*x**2 + v + t*x + y*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 3. Let v = 38 - 37. Let a be i(v). Solve a*h = -4*m - 0*h + 30, -2*m - 4*h = -30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**8\/192 - 19*w**7\/840 + w**6\/32 - w**5\/240 - w**4\/48 - 32*w**2. Factor t(o).\nAnswer: o*(o - 1)**3*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17 + 17 + 23 - 125*o. Let w be b(7). What is the tens digit of 4\/(-16) - w\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-712)\/1424)\/(10\/56)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = -5*b, 3*b = -22*h + 23*h + 1. Factor 0 - 2*y**3 + 2\/3*y - 4\/3*y**b.\nAnswer: -2*y*(y + 1)*(3*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/22 + 720\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -33) + 6 + -32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089093927 to the power of 1\/4, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1844283)\/(-25497))\/((-21)\/36)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o + 236. Suppose -5*u - q + o = 0, 4*u - 3*q - 14 = 3*u. What is the remainder when 67 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5, 2\/39 in descending order.\nAnswer: 2\/9, 2\/39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(5*sqrt(30)\/sqrt(3)))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**3 + 20*h**3 - 3*h**3 + (4*h - 2*h - h)*(-2*h**2 - 3*h**2 + 6*h**2) + (134*h**2 + 70*h**2 + 51*h**2)*(-3 - h + 3).\nAnswer: -229*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -22906\nAnswer: 4810.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6045*v**4 - v**2 + 21*v - 4?\nAnswer: 145080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 - 5*g - 6. Let w be l(6). Suppose w*r - 168 = -4*r. Let t = 71 - r. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + 2b?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-117)\/2)\/((-3)\/4). Let z = 131318\/7 + -18682. Let o = l - z. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22496447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30458, 122302, 275380, 489692, 765238?\nAnswer: 1102018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(98)*-2*-5 - sqrt(98))**2 + -3 + (sqrt(98) + 0 + sqrt(98))**2 + sqrt(98) + 0 + -5.\nAnswer: 7*sqrt(2) + 8318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 + 94*l + 1103. Let g be h(27). Put g, -2, -552 in descending order.\nAnswer: -2, g, -552","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 6, 3*g + 17 = -6*d + 2*d - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-16)\/384*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2963 - -2959. Which is the smallest value? (a) -17 (b) s (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one halves of a micrometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:02 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 144.21 and 165.\nAnswer: 309.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(1\/(-3)). Let a = 0 + l. Solve -2 = 3*u - a*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254441 rounded to the nearest ten thousand?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 583881960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 11*z + 137 = 0. What are the prime factors of z?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -9*y**5\/20 + 5*y**4\/12 + 6*y**2. What is the second derivative of f(c) wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, h: 13}. What is prob of picking 3 h?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 8. Let p be l(-6). Let c = -2 - p. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 - 11*h - 31. Let t be d(-4). Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*(-4)\/(-4)*(-19)\/(-57) - -1. What is the nearest to -1\/4 in z, 0.2, 17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {k: 1, q: 4, r: 3, i: 2, j: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - d - 3 = f, 2*f + 3*d + 9 = 0. Let g be (-4)\/(-10)*(f - -5). Let g*y**4 + y**2 + y**2 - y**3 - 3*y**3 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**8\/168 - 7*z**5\/60 - 9*z**2. Find the third derivative of y(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(13))**2 + -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 261*y**2. Let q(l) = -2*l - 4. Let p(d) = 65*d + 120. Let z(b) = p(b) + 30*q(b). Determine z(m(j)).\nAnswer: 1305*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = -3*z + p, 5*p - 15 = 0. Let c be 17\/z + 1 + 5\/(-6). Let g be ((-66)\/18 + c)\/(4\/(-18)). Calculate the greatest common divisor of g and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 330?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -347 + 340. Let n(u) = 3*u**2 - 11*u - 17. Let l(i) = 2*i**2 - 6*i - 9. Calculate m*l(s) + 4*n(s).\nAnswer: -2*s**2 - 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.83 - 0.28. Let m = 12 - 11.4. Let a = m - g. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 362819 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -20 + 6 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -525, -535, -559, -603?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*r - 4*u + 9*u, 0 = 3*r - 4*u + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:41 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.395 + -0.005. Which is the nearest to -0.3? (a) 1\/6 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -20\/3*z**4 + 0 - 23*z**2 + 19\/30*z**5 - 100\/3*z**3 + 0*z - 1\/60*z**6. Factor x(a).\nAnswer: -2*(a - 10)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 - 3. Let y(n) = -21*n**2 + 6. Let q(w) = 7*u(w) + 4*y(w). What is the derivative of q(o) wrt o?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 28, 5 in descending order.\nAnswer: 28, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -6 - 7\/(14\/(-4)). Suppose 3*o = -4*y + 5, 0 = -t*y + y - 5*o + 3. Suppose 2*m + 135 = q, 298 = 2*q + 5*m - y*m. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*i - 2*m + 31, 4*i + 2044*m = 2049*m - 49 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 11*g - 33. Does 42 divide m(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/30 and -70\/38043.\nAnswer: 380430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -12\/5030585?\nAnswer: -12\/5030585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g**(-11))**(2\/7)*(g**3)**(-2\/11) assuming g is positive.\nAnswer: g**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, 2\/31, -61 in ascending order.\nAnswer: -61, 2\/31, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.327 + 7.827. What is the second biggest value in -3\/2, 0, 5, -4\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/6 + (3\/2 - (-273)\/(-26)))*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:48 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*i - f - 9, -i + 3*f - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 160, 318, 476, 634?\n\"Answer: 158*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -2\/3, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 6)\/((-385)\/66 + 2\/(-3)). Let n be (-2)\/((4\/10)\/(-1)). What is the nearest to -0.1 in n, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 74. Let y be c(-31). Let s = 198 - y. Solve -m + 4 = -s*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 + 2*n**2 + 2*n + 2. Let p be k(-4). Suppose 4*t = -3*c - c + 32, 0 = p*c - 5*t + 12. Are 3 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -7\/336293974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53 * -0.602.\nAnswer: 31.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 + 14\/8. Suppose -20 = 3*y + r*y, -4*z + 52 = -4*y. What is the remainder when (-105)\/45*(-4059)\/231 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81b32 - 210b?\nAnswer: -84041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183\/3*(((-377)\/(-13))\/29)\/(3\/(-3)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79031 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:29 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 978 by 1.\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1640000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 18*z**2 + 33*z + 26. Let b be y(-13). Suppose -2*a - 2*o + 230 = 0, -4*a + 2*o + 0*o + b = 0. What is the highest common divisor of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:40 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/7 - 6*k**3\/7 - 44*k**2\/7 + 48*k\/7 = 0. Calculate k.\nAnswer: -4, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g - 2*g**2)*(-5336*g**3 - 351*g**3 + 82*g**3 - 1057*g**3).\nAnswer: 13324*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(f - 1 + 1)*(-2*f + 2*f + f**3).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -39. Let v be ((-4)\/(32\/f))\/(1\/40). Let c be ((-2)\/6)\/(((-35)\/v)\/(-7)). Solve -2*n = c*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i = -19*i - 8888. Suppose 0 = -13*a + i + 58. What is the remainder when 26 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.532084 litres?\nAnswer: 4532.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 - -322. Let g be w\/(-16)*(42\/15 + -3). What is the nearest to -1 in g, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7038 and 4163.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**3 - 7*u**2 + 8*u - 84. Let g be j(-7). Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 7*h**2 + 8*h + 6. Let p be r(6). Suppose p = 2*f - 0. Suppose -44 - f = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200002010 + 112?\nAnswer: 200002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17825*g - 19803*g + 37635*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 2502?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2918*m + 3346938. Calculate u(1147).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minus -1.8648627?\nAnswer: 166.8648627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 16. Suppose -3*m - 4*g + 20 = 0, 3*g = 3*m + g - t. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 5. Let o be m(9). What is the tens digit of ((-1683)\/o)\/(3\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1671 + 556\/1671. Let u(d) be the third derivative of 1\/6*d**4 + 9*d**2 + 0 + 0*d - n*d**3. Determine u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - (sqrt(130) + -5*2*sqrt(130))))\/(sqrt(80)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 20. Suppose s = 2*s - t. Suppose 8 - 40 = -s*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4016643, -8033287, -12049931, -16066575?\nAnswer: -20083219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 8592 - 8560. What is the smallest value in -0.5, h, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 334*m**4 + 151 wrt m?\nAnswer: 1336*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + -3 + (sqrt(19) + 3)*2 - (sqrt(114) + (-1*-1*sqrt(114) - sqrt(114)))\/(-2*sqrt(486)).\nAnswer: 3 + 181*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 748, 1123, 1500, 1879?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72\/5 + -71\/5. Let f = -28 - -10. Let u = f + 13. What is the third biggest value in s, u, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) -5\/2 (b) 2\/3 (c) 1\/14 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -86. Let s = f + 80. Solve -2 = -2*z - 10, -3*d - s*z - 16 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5590533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 12. Let y be -3 + 7 + (-19)\/(-1). Suppose -i - 3520 = -y*i. What is the highest common factor of i and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83830?\nAnswer: 2, 5, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 220816 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 127*q**2 + 1780*q + 49. Let i be f(-14). Solve -2*h + 12*p + 21 = 7*p, -i = -4*h + 3*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7323.2 - -7323. Which is the closest to 0? (a) 7 (b) -2\/9 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 8. Let a be k(5). Suppose 30 = a*d - 5*z, -d + 16 = 3*d + z. Suppose -f - d = -6*f. Put 1\/5, f, -2 in decreasing order.\nAnswer: f, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**2 + 4*a - 1. Let o be z(-6). Let m be o\/(-10)*(-20)\/8. Solve -g = 2*t - 6*t - 16, -16 = 2*g + m*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.3, 108, -1, 17\/2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -6. Let c be (-32)\/n + 14\/(-35). Is 7 a factor of c\/27 + (-264)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-77) + (300\/(-198) - -1). Sort 4\/5, -1, w, -37, -0.2.\nAnswer: -37, -1, w, -0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 229 = w, 3*m - 2 = -8. Let j be (1\/(-27))\/(w\/54042). Let n = 2\/2133 + j. What is the common denominator of -28\/5 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 4*d**3 + 3*d**3)*(3*d + 56 - 56).\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36545.\nAnswer: 5, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-20)*((-150)\/18 - -7)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-75)*(-9)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m. Suppose 65 = -m*b + b - 3*x, -3*b + 169 = 4*x. Suppose 16 + b = 5*p. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37757 or 37760?\nAnswer: 37760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 9}. Give prob of sequence uj.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 747396\/6388*(-9)\/(-39).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 911 + -208. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.602\nAnswer: 0.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63651421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 655424 (base 9) in base 11?\nAnswer: 247917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Give u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3112 + 1505 + 17*y**2 + 1607.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4144606663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 5*c + 4. Let b be n(3). Suppose 2*w = 16 + 4. Let i = w - b. Solve -i*g = -4*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(108)*-3*-3)**2.\nAnswer: 78730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -72*h - 11. Let y(g) = 73*g + 9. Suppose 3 = 4*q + 23. Let x(k) = q*l(k) - 6*y(k). Differentiate x(c) with respect to c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**11*q*q)))\/(q*q**(4\/3)\/q)*(q**(3\/2)\/q)**(-13) assuming q is positive.\nAnswer: q**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348625202?\nAnswer: 2, 53, 3288917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -551.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*p + 6 - 6.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81 - 5*h**4 - 6*h**4 - 85 wrt h?\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 4, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + -2 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 350\/30 - 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + 34. Suppose -2*g - 4 + 32 = t, -t = -4*g + p. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126099261889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132460?\nAnswer: 2, 5, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 10*u = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/451 and -59\/410.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohftpaafh. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 - 0.5. Which is the nearest to -1? (a) y (b) -1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8752*s + 585. Is b(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 2, q: 1, f: 4}. Give prob of picking 2 v and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254*t + 1120*t + 1126*t - 4*r = 132, 3*r - 61 = 4*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 - 5*x**2 - 6*x + 5. Let q(b) = -9*b**3 + 6*b**2 + 7*b - 6. Let m(h) = h**2 - 11*h + 23. Let l be m(5). Calculate l*p(c) - 6*q(c).\nAnswer: -2*c**3 - c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 61*t**2 - t + 3. Let o be x(5). Suppose 1356 = 4*v + 2*m, 5*v - 172 = 5*m + o. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25808 is divided by 186.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30789*3\nAnswer: 92367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60459034?\nAnswer: 2, 3541, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -26. Let s = q - 26. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 5*g + 19 + 10.\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 1\/2, -5\/6, -3, -16, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44976909 to 4 dps.\nAnswer: -0.4498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1157, 9306, 31395, 74384, 145233?\nAnswer: 250902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-4)\/216). Let w = 29 + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2\/3 + 148*h + 904\/3 = 0. Calculate h.\nAnswer: -2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -274673.\nAnswer: -26\/274673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/14)\/(-3 - 1494405\/(-498141)).\nAnswer: 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 561 + -540. What is the least common multiple of x and 174?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5\/2 + 1731*t**4 - 17367*t**3\/2 + 10437*t**2 + 6942*t - 13908 = 0.\nAnswer: -1159, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. What is the smallest common multiple of 1 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*j - 16, 20 = -d - 2*j - 3*j. Calculate the common denominator of ((-1130)\/(-175))\/2 + (-1)\/d and 107\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -100, 3\/7, 0.114, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 + 2*o**5 + (2*o - o - 3*o)*(o**4 + o**3 - o**3) + (16*o**5 - 10*o**5 + 16*o**5)*(3 - 4 + 0) + 37*o**5 - 15*o**5 + 17*o**5.\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24)\/((-128)\/192)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2959.25 or -599?\nAnswer: -2959.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10))\/sqrt(2) + 1 + 1*sqrt(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-56) - (-68)\/(-14). Put -2, t, 4 in decreasing order.\nAnswer: 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2372*q - 16 + 28*q**2 + 2372*q + 20 to m + z*q + h*q**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*r**4 + 26*r**3 - r**2 - 160*r - 1179823 wrt r.\nAnswer: 84*r**3 + 78*r**2 - 2*r - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -41764.\nAnswer: -41765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15626\/4 - 167\/(-334) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = 6*n - 4*n. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3\/7 - 158*n**2\/7 - 320*n + 2400\/7 = 0?\nAnswer: -60, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/15)\/h)\/h)\/h**(-3\/16))\/((h*h*h**13\/h*h)\/(h\/h**(-4))) assuming h is positive.\nAnswer: h**(-2851\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38270738.\nAnswer: 2, 11, 1739579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 + 129*o + 468 = 0.\nAnswer: -39, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1343?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**8\/28 - 295*h**7\/42 - 185*h**4\/4 + 406*h. Find the third derivative of u(x) wrt x.\nAnswer: -240*x**3 - 17700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -435\/2. Let h(o) = o**3 + 12*o**2 - 2*o - 7. Let q be h(-12). Let i = q - 11. What is the closest to -2\/5 in i, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:27 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/33014016 and 101\/23184?\nAnswer: 33014016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 33. Let m be q(7). Suppose 0 = -3*o + 2*j - 1, -3*j = m*o - 6*j. Let r be (-2 + (-1)\/o*0)\/(-7). What is the closest to -0.1 in -1, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 2*h**2 + h**2 - 4*h + 3*h**3 - 5*h**2 - 3 + 10. Let f be ((-2)\/4)\/(1\/(-12)). Is a(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-11)\/(-1 - -12). Suppose 0 = -0*g - g + 19. Find the third derivative of g*i**3 + 29*i**4 - 19*i**m - 23*i**4 - 13*i**2 wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -16. What is the nearest to -1 in -1\/2, c, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5666 - t**3 - 5666.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 5*d**8\/1344 + 2*d**7\/15 - 71*d**6\/480 - 23*d**5\/120 + 2*d**2 - 47. Solve y(k) = 0.\nAnswer: -23, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) -220 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -207 + 2*h**4 + 4*h**3 + 96*h**2 - 98*h**2 + 8*h - 7*h + 207 as a + y*h**3 + k*h + r*h**4 + l*h**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(2\/7)*c*c)))**0*(c\/(c\/(c*c**1)))**43)**46 assuming c is positive.\nAnswer: c**3956","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**3\/2 + 17*q**2\/2 + 113*q - 2. Let j be 1*(-12 + 1 + 1). List the prime factors of u(j).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5320 and 19901987.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20153964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4896533 (base 11) to base 10.\nAnswer: 8515048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - (-23430)\/70. Let f = k - -128. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -50424*q - 198. Let a(i) = -2017*i - 8. What is -198*a(t) + 8*f(t)?\nAnswer: -4026*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 6*h + 5. Calculate the smallest common multiple of o(-5) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000155569 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {u: 1, i: 2, s: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 18 = -4*y. Let n(g) = g**2 - g + 3. List the prime factors of n(y).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 11 = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkkkgkckkkgkkk. Give prob of picking 1 c and 2 k.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 + -214. Let s = j - -88. What is the smallest value in s, 2, 1\/2, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8107*m**3*x**3 + 2*m**3 + 2197*m*x**4 - 669552*m - 2 wrt x.\nAnswer: 24321*m**3*x**2 + 8788*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -685*f**2*m + 2*f*m + 6*f - 5 wrt f?\nAnswer: -1370*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 11*c - 64*m = 149 - 408, 0 = 3*c - 5*m + 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-42 - 13*c - 47 - 176).\nAnswer: 26*c + 530","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 5*a + 2. Let m = 858 - 818. Calculate the remainder when m is divided by t(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*y + 2, 5*l - 201 = 2*y - 217 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*h**2*t**2 + 11*b**3*t**2 - 3*b**2*h*t**2 - 2*b**2*h - b*h**2 + 2*b*t**2 wrt b.\nAnswer: 12*h**2*t**2 + 66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c. Let v(b) = b**2 + 2*b - 1. Let r be (8 + (-24)\/4)\/(2\/4). Let o(g) = 3*g**2 + 8*g - 4. Let z(t) = r*v(t) - o(t). What is y(z(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 59*s**2 + 21*s + 2918. What is the units digit of m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1317*d*r**2*y + 5*d*r**2 + 2*d*y + 2*d + r**2*y - 10*r*y - 180*r wrt r?\nAnswer: -2634*d*y + 10*d + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -35 - 69. Let h = o - 103\/4. Let j = 75250 - 75246. Which is the fourth biggest value? (a) 1\/10 (b) -1\/3 (c) h (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62 or -69?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 47. Let k be z(-16). Suppose f = 5*c + 43, c = -f + 4*f - k. Let n = f + 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 42 = -27*q. Let u = -2.9 - -3. Let t = -4 - 0. Which is the closest to u? (a) q (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219773722*h**4 - 61361684*h.\nAnswer: -2637284664*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.025782 and -5?\nAnswer: 0.12891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33019, -132279, -297711, -529315, -827091, -1191039, -1621159?\n\"Answer: -33086*o**2 - 2*o + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226995920 and 2165.\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 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: Let u be 66\/198 + 85031\/3. Let f = -16825 + u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*s + 5*s. Suppose 0 = -u + 2*p - 0 - 1, -2*p = -6. Is -2 - 1*s*u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-7)*y**(2\/9)\/y)\/(y**(1\/4))**26*(y**(-1\/7)*y**(-1\/6)*y)**11 assuming y is positive.\nAnswer: y**(524\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*p**2 - 248*p + 248*p.\nAnswer: -244*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l + 31*l + 31*l + 20*l - 119*l. Let b(a) = 6*a**2 - 4*a - 4. Let r(j) = -j**2 + j + 1. Let o(g) = b(g) + 4*r(g). Give o(t(p)).\nAnswer: 1152*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*q + 2*u + 25, -q + u = -8. Suppose -p - 114 = -q*n, 4*n + 2*p = -0*p + 80. Suppose 14*k + 264 = n*k. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6 - (3 - -1)) + 3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84699 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5838, 11832, 17826?\nAnswer: 23820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 8.9. Put x, 0.2, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/5)\/(b*b\/((b\/(b\/(b\/b**(-3\/5)*b*b*b)))\/b))*(b\/b**1)**48 assuming b is positive.\nAnswer: b**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-9) - 29617540\/6. Suppose h - 49345035 = 4*r, 4*r = 2*h + h - 49345041. Let g = a - r. Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 - 5 - (29 - 36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -12*r + 21. Let z = -47 - -28. Let f = z - r. Solve 0 = -b + 4 - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-816)\/(-1020)*140\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13684585 divided by -2736917?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 8, 3, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 3*k. Let j(i) = 25*i**2 - 10*i. Let n(y) = 3*j(y) + 10*v(y). Let m = 6 + -4. Let w(s) = -3*s + 3*s - 2*s**m. Calculate 4*n(a) - 11*w(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27 - 10\/(-2))*6\/(-4). Suppose -8*q - 9 = -z. Suppose -9*d - 48 = -14*d + y, -6 = -q*y. Calculate the least common multiple of 2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(34\/10*-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -1.7, 2\/3, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 5*c**2\/2 + 2*c + 2. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 85. Let a = q - -65\/2. Suppose p + 0*p + 2*c = -11, p = -5*c - 26. Is a at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 12:43 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*sqrt(1216)*-2*2*3*1)**2.\nAnswer: 6303744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 17*o**2 - 47*o + 173. Let m be s(19). Find i, given that 2\/3 + 1\/3*i**m + i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -24*i + 123. Determine w(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/107)*n*n*n**20\/n*n\/(n\/(n\/(n\/(n**(-15)*n))))*(n\/(n\/(n\/n**(-3\/19)*n)))\/n assuming n is positive.\nAnswer: n**(16623\/2033)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucucuccuccucu. Give prob of picking 2 c.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 160249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1857 + 1865. Which is the fourth biggest value? (a) 1\/2 (b) 1 (c) g (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4550023um?\nAnswer: 0.0000004550023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1652*x + 552*x - 301948 = 0 for x.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3540, 5772, 8004?\nAnswer: 10236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 53. Let w be 198\/(-55)*b\/(-3). Let r = -20 - w. Solve r = -4*l + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1377 - 300a?\nAnswer: -4386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) - (sqrt(2448) + 0)**2 - (sqrt(17) - sqrt(153)\/(sqrt(45)\/sqrt(5)))).\nAnswer: -2443 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 10*o**2 - 711*o + 8275. Determine r(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238391151.\nAnswer: 3, 947, 83911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 14*k + 16. Let m be p(11). Let z = m + -408. Suppose 0 = 7*s - z - 177. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1105060044*c + 841461990.\nAnswer: 1105060044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 - 2*a**3 - 2*a**3)*(-1 + 1 - 2) - 1 + a**3 - 87*a - 77*a + 151*a as l*a + m + n*a**3 + q*a**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8.735 (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 2*s\/5 + 144\/5.\nAnswer: -2*(s - 9)*(s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6157 is divided by 3021?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/8 + (24 + 1)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17268192 and 21216?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4 and -32\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 131014004?\nAnswer: -131014000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 416*x**2 - 6*x - 25. Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 28. Let z be s(-10). What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + (7 - 5))) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) -0.09 (d) 2\/11 (e) -2\/3 (f) 1\/32\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 12*q**2 + 31*q - 29. Let z be a(14). Suppose -4*h - z + 9 = 0, 0 = 3*m - h - 1153. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 792 = 708. Let z = -104 - i. Let d(x) = 5*x**2 + 8*x + 36. What is the remainder when d(z) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 2, f: 2}. What is prob of sequence mr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4342 (base 5) to base 8\nAnswer: -1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v - 5. Let a be 2\/4 + 42\/12. Does 5 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985640290.\nAnswer: 2, 5, 17, 11680237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - k**2)*(0 - 1 + 2) + (2*k + 3*k - 4*k)*(-4 + 4 + 2*k) + 9*k**2 - 9*k + 9*k in the form n*k + t + r*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97610.51 rounded to the nearest one hundred?\nAnswer: 97600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -26, -87377?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:16 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.552 != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*h + 7, 3*h - 17*a + 16*a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 6. Let j be z(-6). Let g(q) = -q**2 + 7*q + 1. Let h be g(j). Solve -3*r = -h - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upaazuuptzeuu. What is prob of sequence zzet?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let r be (2 - (-3)\/y)*0. Let p = 2 - r. Solve -3*x + p*x - 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 3427235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -3*n + 6. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*y**3 - 47*c - 62*y**3 with respect to c.\nAnswer: y**3 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98642, 394908, 888678, 1579946, 2468706?\nAnswer: 3554952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -242 - -134. Let g be (8\/(-3))\/(c\/162). Solve -r - g = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6332\/8*-6)\/(-1). Suppose q - 1590 = 27*p. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001112313 (base 4) to base 15.\nAnswer: -544bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74402*r - 37198*r + 5*r**3 - 37204*r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 13. Let b be h(-18). Let m(f) = -8*f + 45. Let x be m(b). Suppose -25 = -0*l - x*l. Calculate the remainder when 23 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1559591.01 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 - -34.27. Let s = d + -32. What is the third biggest value in s, -1, 0.21, 2\/5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/930 - 314\/62?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 5*q + 19 - 3 - 4.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2137\/220 + 27\/44. Let b be ((-1018)\/(-5))\/((-2612)\/(-9)). Let m = 1\/653 - b. What is the common denominator of l and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -20*q + 5. What is the remainder when a(-4) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*k - 12*k**3 - 10*k**3 + 57*k.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22902644 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 299. Let q(k) = -k - 200. Give -5*d(v) - 8*q(v).\nAnswer: -2*v + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 29*u + 16*u - 26*u to the form g + l*u and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1444 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 + 2102?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 10*v**2 + v - 3. Determine w(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 15*w + 17. Let j be h(-16). Let o(z) = 4*z**3 + 3*z - 2. Let f be o(j). Suppose -f*m + m = 796. Round m to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/4 + 6\/(-8))*-2. Suppose 0 = s - 3*w + q*w - 8, -2*s + 44 = -3*w. Solve y - 13 = 2*n - 2*y, 0 = -3*n + y - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.3 (b) 5 (c) 3\/38 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 161\/(-315) - (-4)\/10. Let k be 2\/9 - (-598)\/(-18). Let w = -33 - k. Is w > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*k**3 - 146756*k**2 + 467818*k - 83784 = 0. What is k?\nAnswer: 4\/21, 3, 3491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 5. Let y be i(-5). Suppose y*w + 3*r - 219 = 0, -2*r + 6 + 0 = 0. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzkzzbzzkbzbkbk. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-25) assuming f is positive.\nAnswer: f**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461.1132 + 461. Let x = -0.99 - -1.075. Let r = g + x. What is r rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2843768 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccocoouoccuccocouco. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(-45) - ((-36)\/15 - -2). Let v be ((34 + 2)\/(-6))\/(-2*y). Solve 0 = v*j - 8*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 491 + -489. Solve -l + 0 - 7 = -t*i, 15 = 4*i - 3*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 2 - (18 + (-29 - -11))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:10 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and -35\/142.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113 is divided by 185.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 340, 350, 360, 370, 380, 390?\n\"Answer: 10*q + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14)*4)\/(16\/840*21)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 4 - 4)*(-3*d**3 - 19*d + 19*d + 4*d**2).\nAnswer: -3*d**5 + 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -113 * 3423\nAnswer: -386799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6. Let w be k(0). Let n be (-24)\/(-18)*w\/4. Solve 4*x - 5*x = n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*p - 13 + 17 = 0, -29*h + 33*h = -p + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75214079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1472*b + 48. Let f(y) = 1258561*y + 41048. What is 6*f(s) - 5131*r(s)?\nAnswer: -1466*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2961 divided by -4.\nAnswer: 2961\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2397 rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 188*g**2 - 31\/20*g**5 + 1\/10*g**6 + 0 + 13\/2*g**4 + g + 15\/2*g**3. Factor b(c).\nAnswer: 3*(c - 5)*(c - 3)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-1*6 + -6*1*sqrt(156) + sqrt(156) + sqrt(156) + sqrt(156))\/((sqrt(12) - (sqrt(12) - (sqrt(108) - sqrt(12)))*5)*4) + 0.\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 184471340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 26*x + 5 - 31*x**2 + 41 - 7*x**2 to u*x**2 + n*x + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12768*u + 38442*u - 12911*u - 12763*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2.52, 0.031, -0.3?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*c + 122*c = 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2433, 2436, 2429, 2406, 2361, 2288, 2181?\n\"Answer: -n**3 + n**2 + 7*n + 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*j - 100 = -4*j, 3*j - 40 = -2*u. Calculate the highest common divisor of 260 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 35*u - 94. Let r be m(32). What is z in 4\/7*z**r + 0*z + 0 + 2\/7*z**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4 - (9 + -10)) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -23, -32, -31, -14?\n\"Answer: a**3 - 4*a**2 - 8*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 32 - 26. Let w(d) = -2*d + 3. Let h(z) = -z - 7. Let a(i) = -2*i - 7. Let f(v) = 6*a(v) - 7*h(v). Determine r*f(y) - 7*w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2844)\/2212 + 214\/14. Solve 14 = z*p - 9*p + a, 2*a - 16 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((3 + sqrt(208) - sqrt(208)) + -2 - (4 + -2 + sqrt(208))) + (-2*sqrt(208)*5 + sqrt(208) + sqrt(208) - (1 + sqrt(208) + -1))*-6)**2.\nAnswer: -424*sqrt(13) + 584273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = -1. Suppose -4*z + c*z = -12. Is 2*237\/z*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6353321us to seconds.\nAnswer: 0.0000006353321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -2) + (-11)\/(-3). Let b be 5\/15*(-6)\/4. Is b > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2864678 + -1222687. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1840170 and -1\/3496323?\nAnswer: 34963230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397276.729 - 397206.7289516. Let k = 70 - d. Round k to 6 dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 3.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.19, -0.0649, -9, 5, -3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.539 - 0.501.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/945*30*(1\/2)\/((-250)\/(-3125))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 0*v**2 + 0*v**2. Let m(f) = 108*f - 54*f - 64*f. Determine j(m(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 1)\/((-84)\/210). Let i(x) = x - 2. Let p be i(4). Sort 1, p, 3, a.\nAnswer: a, 1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 + 2*j + 4. Let c be w(4). Let l = -4 - c. Suppose 4*d = -l*d. Solve d*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 not equal to -64\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 330, 314, 298, 282?\n\"Answer: -16*z + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -746*t**3 + 6*t**2 + 77*t + 6. Let j(h) = 746*h**3 - 7*h**2 - 90*h - 7. Determine 6*j(n) + 7*w(n).\nAnswer: -746*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17209\/4 + 4303. Sort 3, y, 1\/33, 110 in increasing order.\nAnswer: 1\/33, y, 3, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863919, 863911, 863903, 863895?\nAnswer: 863887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(104)*-1)\/(sqrt(512)*-1).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*y = -17, m + 5 = 2*m + 2*y. Let t(u) = u**3 + 5*u**2 + 7*u + 5. Let n be t(m). Solve 4*l = n*r + 6, 0*l + 4*l - r = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(6 - 56\/10))\/(1156\/24854).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 + -0.07. Let g be (-7)\/42*(-8)\/3. Suppose -u + 49 - 45 = 0, 5*n + 5*u = 5. Put n, g, b in decreasing order.\nAnswer: g, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21148 + 1433 = 576*x - 10251 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - 4*n**5 - 6*n**5 + (-5*n + 2*n + 4*n)*(-n**4 + 3*n**4 + 0*n**4) + 4*n**5 + 0*n**5 - 2*n**5 + (4*n**4 - 3*n**4 - 2*n**4)*(-6*n - 5*n + 3*n).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 4*s**3 + 190*s + 2*s**2 - s**2 - 184*s to the form j + n*s**3 + d*s + r*s**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 8*n - 2096*n**2 - 2757*n**2.\nAnswer: -4853*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 5*j - 6*j**2 + 0*j**2 - 2*j + 3. Let a(i) = -i**2 + 1. Let y(u) = -3*a(u) + d(u). What is the second derivative of y(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1455956*d**3 + 99*d**2 - 154*d wrt d.\nAnswer: -8735736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393078039?\nAnswer: 3, 409, 457, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 12*q + 13. Let j be g(-11). Suppose 2*s + 60 = j*w, -5*w - 5*s + 122 = -2*w. Suppose 5*i - w = 131. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*i + 1499*i = -1486*i + 4030*i + 7613 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 11:31 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:41 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 4*y. Let j be 1 + 0 - (1 - y). Find the third derivative of 0*u**j + 2*u**4 - 2*u**2 - u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3852 < -3791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7\/210*102)\/(3\/15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 + -122221102211?\nAnswer: -122221121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 1 - 2*x + 8 - 14 + 40 to the form y + q*x**2 + p*x and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 8876.\nAnswer: 35504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 165451*z**2 - 5 + 165447*z**2 - 3.\nAnswer: -4*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 + 37*o**2 + 18*o + 55. Give f(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n - 129 = -34*n + 63. Sort 5, -5\/13, n, -2 in increasing order.\nAnswer: -2, -5\/13, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5968139)\/(-965) - (-7)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 2*a**2 - a. Let t be s(-1). Let o be (5 + -2 - t) + 2. Let c be 1 + 3 + 1 + -1. Solve 6 = -l + o*l - c*d, 0 = 3*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 16723*o**2 - 87901*o - 20930.\nAnswer: (o - 4186)*(o + 5)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 5)*(2 - 2 + q)*(-20*q + 4*q - 7*q)*(3*q + 3*q - 3*q + (-2 + 7 - 4)*(3*q + 0*q + 0*q)) to g + v*q + z*q**2 + s*q**3 and give s.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 125. Let q = -59 + i. Solve 2*p + 3 = -q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.814584 centimeters in meters?\nAnswer: 0.08814584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-51)\/85*5\/(-3))\/((-2)\/(-240946)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143)*-6)\/((sqrt(55)*1)\/sqrt(5)) - (0 + sqrt(13) + 1 + 4 + (-3*sqrt(1872)*-1 - sqrt(1872))))**2.\nAnswer: 310*sqrt(13) + 12518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13. Put -2, -6, a in ascending order.\nAnswer: -6, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1012 divided by 6.\nAnswer: -506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30101233 - -1333?\nAnswer: 30103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h - 3. Let v be b(-2). Let u be (188\/10)\/((-2)\/(-10)). Let s = -92 + u. Solve -2*t - 14 = -2*n, s*n + v = 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let d be (300\/(-10))\/3 + 13. Let u(j) = -4 + c + j - 4 + d. Let y(g) = -g**2 - 5*g + 11. What is 11*u(z) + 2*y(z)?\nAnswer: -2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose v = -t*v + 4. Let d(a) = -a - 3. Let x(o) = 4*o + 11. Let r(g) = -22*d(g) - 6*x(g). Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1267 - -1266.9. Put 0, -3\/7, -12, n in increasing order.\nAnswer: -12, -3\/7, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2945*s**2 + 8850*s - 45 = 0.\nAnswer: 3\/589, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -124*b**3 + 63*b**3 - 78*b**3 + (-2 + 0 + 0)*(-3*b**3 + 6*b**3 - 4*b**3) + 78*b**3 - 46*b**3 + 75*b**3.\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 4. Let d be o(5). Let g = 7 + d. Suppose -18*t + 357 = 3*t. Put g, 5, t in descending order.\nAnswer: t, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-3464)\/(-3) + 10\/(-15). Do y and 1148 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2408 and 172000.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995566173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -5744501?\nAnswer: 1148900.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in months?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -23, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 25*m - 89. Determine x(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/43)*i**(-3\/8))\/(((i*i*i*i**(5\/12)*i)\/i*i)\/i)**(-48) assuming i is positive.\nAnswer: i**(56303\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 + j. Let g be t(1). Which is the third smallest value? (a) 62 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(10\/(10\/2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -9843383928109?\nAnswer: 9843383928107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 - -151. Let o(d) = d**2 - 5*d. Let k be o(6). Calculate the greatest common factor of y and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/5 (b) -2\/13 (c) 0 (d) -3.79 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -5a0?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 465 and 1240.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*f + 550*f = -33 + 209. Calculate the remainder when 2417 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35781236 to the power of 1\/2, to the nearest integer?\nAnswer: 5982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 5*f**2 + 11*f - 1. Let x be s(5). Let r = 139 - x. Let q = r - -325. Calculate the highest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuiuu. What is prob of sequence iuuu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**3 - 114*n**3 - 64*n**3 + (-3 - 1 + 3)*(2*n**3 + 3*n**3 - 2*n**3).\nAnswer: -173*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a. Let m(f) = -2*f**2. Let d(v) be the third derivative of -v**5\/60 + 8*v**2. Let g(t) = -8*d(t) + 3*m(t). What is p(g(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102953 is divided by 597?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -1 (b) -5 (c) -2 (d) 23655 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77449252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -11*y**4\/12 + y**3\/2 - 8*y. Find the second derivative of u(b) wrt b.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -94*q - 797. What is the remainder when 4555 is divided by b(-9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Let q(k) = z*k - k - 5*k. Let b(n) = 5*n**2. Calculate q(b(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 2146.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -102102744*v**2 + 112156*v. Let r(p) = 50980*p**2 - 56*p. What is 28039*r(q) + 14*w(q)?\nAnswer: -10196*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 9\/560*k**8 - 4*k**2 + 0*k + 9\/40*k**4 + 33\/350*k**7 + 23\/100*k**6 + 3\/10*k**5 + 1\/10*k**3 + 0. Factor b(m).\nAnswer: 3*(m + 1)**3*(3*m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30) - 20\/(-8400)*-161.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-6))\/(a**(-4\/5)*a)*a**(1\/4)\/(a\/(a*a*a\/(a\/(a\/a**(-1\/3))))))\/(a**(5\/3)*a**(-2\/3)*(a\/(a**1\/a)*a)\/a*a*a*a**5) assuming a is positive.\nAnswer: a**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -239*s + 57. Let h be d(-3). Let k = 1210 - h. Is 49 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - (18 + (-97 - -77 - (-1 + -2)))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-12)*(-1)\/2)\/(6\/4)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1 + (2 - 0). Suppose 5*t + 4*q - 20 = 0, 0*q = -4*t - 4*q + 20. Suppose t*l = -l + k. Solve 3*c = l*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*k = 40, 9*k = 2*o + 12*k - 37 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3995668648 minus -0.041144?\nAnswer: -3995668647.958856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 10 = h, 4*u + 2*h = -16. Let a be u\/9 + (-6)\/((-378)\/1589). What is the third derivative of -24*i**3 - 9*i + a*i**2 + 9*i wrt i?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m**2 + 12*m - 5. Let s(v) = -6*v**2 - 4*v + 2. Let q(k) = 3*n(k) + 8*s(k). List the prime factors of q(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -658, -2\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4742 - -0.1598104?\nAnswer: -4741.8401896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 15. Let v be a(7). Let t be (v + -28)*1\/(-2). Suppose 5*b - 3*r - 19 = 0, b + r = 4*r + t. Solve -25 = 7*h - b*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 5, -5, -2\/3, 4\/9, 1872, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109.10000579 + 109.1. Round y to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 - r + 56. Let j(n) = -2*n**3 + 16*n**2 + 2*n - 168. Let y(a) = 3*j(a) + 8*p(a). What is the first derivative of y(h) wrt h?\nAnswer: 6*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 49\/21 + (-1)\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54d7 (base 16) to base 15\nAnswer: -667e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9638 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117209699 to the nearest integer?\nAnswer: 10826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {f: 3, v: 1, y: 1, a: 1, b: 1, o: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 1\/5, 2, -40 in ascending order.\nAnswer: -40, -0.3, -0.1, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:56 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1536*d**3 - 1 - 64 - 1582*d**3 + 3119*d**3.\nAnswer: d**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7999*b**2 + 4. Let x be l(2). Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19940 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/5)*h)**(-21))**(-32))**(1\/41) assuming h is positive.\nAnswer: h**(8064\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, p: 10, e: 3, m: 3, d: 1}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y**2 - 44*y - 300. Let w be o(-8). Calculate the highest common divisor of w and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8962*m**2 - 10836*m**2 + 7927*m**2 in the form t*m + l*m**2 + s and give l.\nAnswer: 6053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -4*b**2 - 4*b - 5. Let u be n(-5). Let m = u - 3. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + u + 122 = 0, 30*u + 29 = w + 32*u. Solve 5 = w*i - 34 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85 - -0.67. Let m = g + 18.28. Let k = -17 + m. What is k rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2802, 10\/7, -4, -2\/9, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 12:47 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 138490, 138389, 138288, 138187, 138086, 137985?\n\"Answer: -101*z + 138591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 29*k**2 + 21*k - 265. Let x(n) = -7*n**2 - 5*n + 66. Let j(y) = 2*s(y) + 9*x(y). Find the first derivative of j(w) wrt w.\nAnswer: -10*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 25*w = 31*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.3 + -106.3. Let i = m - -136. Let p = i + -40.00000027. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/(-50))\/(1\/(-38)). Let s be -2*((-9)\/(-6) + -1). Find the common denominator of (s\/(-1 - t))\/((-2)\/59) and 79\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77497845 divided by 25832615?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (4\/10)\/((-304)\/380). Suppose -3*l - 2*y = -15, 0 = -l + 6*l - y - 25. Sort -2, -3, w, l in ascending order.\nAnswer: -3, -2, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -4\/19, 1\/12, 854\/3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91463627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31791257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -t + 19, 3*j + 977*t = 973*t + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671829 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2540423 is divided by 70567?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372 - 12. Let r = y + 384.1. Put -3, r, 37 in descending order.\nAnswer: 37, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 1\/2*u**3 - 1\/540*u**6 + 0*u**2 - 1\/4*u**4 + 1\/30*u**5 + 0 - 2*u. Let r(y) be the second derivative of n(y). Factor r(j).\nAnswer: -2*(j - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2892*l**3 - 14*l - 17*l**3 + 14*l.\nAnswer: 2875*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 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: Simplify (5 + -5 + -3 + -1*sqrt(243) + -5 + 5)**2.\nAnswer: 54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -22, 5 in increasing order.\nAnswer: -24, -22, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -5. Let v be (-2)\/(-14)*(-2)\/w. Let b = -316\/483 - v. Sort 5, -7, 1\/6, b.\nAnswer: -7, b, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-52) - (-1680)\/780. Solve -8 = 4*x, 5 = d + y*x + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20\/61 + -877\/488. Find the common denominator of 85\/44 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by ((-528)\/99)\/((-2)\/9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1746732.28 and 0.4?\nAnswer: 1746732.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 10\/7, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)*c**(3\/10))\/((c**(-16)*c)\/(c*c**17*c)) assuming c is positive.\nAnswer: c**(2411\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556968.\nAnswer: 2, 7, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.78, -1\/5, -2, 0.04, -1\/2 in decreasing order.\nAnswer: 3.78, 0.04, -1\/5, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*r = -81*r - 430. Let w = -22\/7 + 205\/63. Which is the third biggest value? (a) w (b) 1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*z + 167*z + 78504 = -75351. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (11 + (-6 - (-37 - 12) - 8) + 13)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-6))\/((-21)\/(-9800)*-5) is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*p - 576*p + 288*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2 + 32*n - 7. What is the remainder when j(-6) is divided by 99?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + w**4 - w**2 - 2*w + 2*w**3 + w in the form b*w**3 + z*w + c + j*w**2 + f*w**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13452 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 - 3 + 5)*(-3 + 1 + 1) + 2 - 4 + 6)*(-17*p + 4*p + p)*(-3*p**2 - 3*p**3 + 3*p**2) as s*p**3 + x + q*p**2 + w*p**4 + n*p and give w.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/5))**(2\/79)*(y**4)**(-27) assuming y is positive.\nAnswer: y**(-42636\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*l**2 - 19*l + 19*l)*(9*l**2 - 3*l**2 + l**2 + (-4*l - l + 2*l)*(-l - 2*l + l)).\nAnswer: 598*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/693)\/((16\/(-12))\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199950?\nAnswer: 2, 3, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818927 - z**2 - 1637851 + 818924.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -19\/12*f**4 + 4\/5*f**5 + 19*f + 0 + 0*f**2 + 0*f**3. Find the third derivative of j(b) wrt b.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2761, 5519, 8277, 11035, 13793?\nAnswer: 16551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -35*p**2 - 4*p - 1. Let h be q(-2). Let g = h - -320. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 757 - 142. Is j greater than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 15\/(-18) - 143\/(-66). Let z be (-1)\/(-3) - (490\/(-6) - i). Calculate the highest common divisor of 252 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 + 8 = 0. Suppose 6*n - 4672 = -3*z + 7*n, 2*n = -c*z + 4687. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**3 - 4 + 13 - 15 + l to t + h*l + n*l**2 + m*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279688349?\nAnswer: 23, 313, 38851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -125*c - 9\/40*c**5 - 1 - c**4 + 5*c**3 + 12*c**2. Determine g, given that o(g) = 0.\nAnswer: -4, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51835, -103551, -155267, -206983, -258699, -310415?\nAnswer: -362131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 2300342*r - 96614436\/7.\nAnswer: 2*(r - 8051203)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 34935.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 118*j + 26. Let t be n(5). Suppose 16*s = 9*s + t. Let v = s - 74. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 + 6*o**2 + 7*o + 9. Let g be d(-4). Let j = -262 - g. Let k = 83 + j. What is the nearest to 3 in 1\/2, -0.4, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -9*m**2\/2 - 44. Let z(w) = w + 1. Let h(c) = -21*c - 18. Let q(o) = h(o) + 18*z(o). Calculate q(r(j)).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, q: 2, n: 1, y: 1, i: 1}. Give prob of picking 1 z and 2 q.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -11 + 43 + -31 + (2 - (3 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5016 + 55511. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/176818264 and -61\/157388.\nAnswer: 1945000904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 656734*w. Let j(r) = -2197*r - 1. Give j(i(g)).\nAnswer: -1442844598*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/210)\/(3\/(-12))*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*n = -14, 2*n - 10 = 2*j - 30. Let q(l) = -l + 18 + 227*l**3 - 228*l**3 + 2*l - j. Suppose 4*k + 2 = 2*w, -k - w - 3 = -4*w. What is q(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688344 and 6900.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k - 1. Let t(r) be the third derivative of -r**4\/24 + r**3\/6 + 10*r**2. Let d be 9\/(-4)*(-16)\/12. Let v(y) = d*t(y) + o(y). Give v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 895 + -872 - ((4 - 0) + -41)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s + 366. What is l(39)?\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-21) - (18\/7 - 2). Does l = -0.41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/5*(-3520)\/(-24). Suppose -64*o + 56*o + t = 0. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*g - 224, -93590*v + 93589*v = -5*g - 58 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + l = -4, 5*n - n - 5*l - 20 = 0. Suppose 4*o - o - 9 = 0, -5*o = -4*j + 29. Suppose n = 2*c + j - 13. Put -3, 3, c in decreasing order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:33 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -306803 - -539088. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -5*w**4\/24 + 19*w**3\/6 - 24*w**2. Let x be p(0). Suppose 0 = 17*f - x*f + 390. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 714 and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 179?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -116*u**2 - 1. Let h(b) = b + 54. Let c(k) = -9. Let x(v) = -6*c(v) - h(v). Determine i(x(a)).\nAnswer: -116*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/139647 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 - 0\/(-3)). Let i = -6 - -8. Suppose -f = -i*s - 24, -5*f + 104 = -0*s - t*s. Calculate the remainder when 58 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 12*a = -9*a + 52, -4*a = -2*p + 32 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*d + 929*d + 520*d - 20680 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 42, 6, -68, -192, -378?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0*p**2 + 9*p + p**3 - 6*p**2 + p**2 + 6 + 13*p**2. Calculate z(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 478 - d7ac?\nAnswer: -d334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(-4 + (sqrt(500) - (sqrt(500) - ((sqrt(500) + 0)*5 - sqrt(500))))*5)**2*-5*4.\nAnswer: -4000324 + 32000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 20*i + 21. Let x be j(1). Suppose 3*p + 42 = x*h - p, p = -5*h + 27. Calculate the lowest common multiple of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 5 + (3 + ((sqrt(243)*-3 - sqrt(243))**2 - sqrt(243) - sqrt(243) - sqrt(243)) - sqrt(243)) + -5).\nAnswer: -7778 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30950 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7483 is divided by 288?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67288*h + 137297.\nAnswer: -67288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 3*b**2 - 4*b + 2*b + 3 + b**2 - 3 + (-3 + 5 - 1)*(4*b**2 - b**2 - 2*b**2) in the form n*b**2 + z*b + o and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 107*d**3 - d**4 - 3*d - 1 + 2*d - 109*d**3 in the form x*d + h + k*d**2 + y*d**3 + j*d**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 1006356?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.07 - -3.0699929. What is f rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.926 - -0.074. Let h = 130 - q. Let c = 48.1 - h. Round c to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 35252954\nAnswer: -35252953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 126.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*c**3 + 0 + (-c - 2*c + 5*c)*(-18*c**2 - 17*c**2 - 16*c**2) to the form a*c**2 + u + j*c**3 + k*c and give j.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 5*u + 57 - 117.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18466333*s + 25413722?\nAnswer: 18466333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.96188 - -0.03812. Do -25\/3 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 + 2*n**2 + 3*n + 2. Calculate o(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032411 times 0.55?\nAnswer: -0.001782605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11797 and 0.2188.\nAnswer: -0.025811836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 4*i - 2. Let u be t(3). Suppose -u = -j + 2. Suppose -18 + 2 = -4*k. Solve l + j = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113461.7 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 - -2))\/(-165 + 175)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4293178322 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*v + 4*t + 32, -33 = -v + 4*t. Let b = v + -37. Let r be (-2)\/(-8) - 66\/b. Solve 6*c + l = 4*c - 10, -3*l = -r*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2311 + 14?\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9226*b + 92409. Give h(10).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15063 + -22937. Round b to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, -81, 2?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1350c5 (base 13) to base 12.\nAnswer: -1a6aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-370 - 389 + 743)*(-13*r + 6 + 20*r - 11*r).\nAnswer: -64*r + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 978994*q + 239607313009 = 0 for q.\nAnswer: -489497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 1304*j - 1303*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2 (b) -6809 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2734038 is divided by 455665?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*q**2 - 74*q - 564.\nAnswer: 2*(q + 3)*(19*q - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 7*r**2 - 13*r + 7. Let s(y) = y**3 - 4*y**2 + 7*y - 4. Let x = -108 - -101. Determine x*s(d) - 4*t(d).\nAnswer: -3*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24876.204717 + 24697.2048. Let o = -99 - -278. Let u = o + d. Round u to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 429*q**2 - 1. Let g(l) = 2*l. What is i(g(y))?\nAnswer: 1716*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6492, 1310, 4, 0 in increasing order.\nAnswer: -6492, -4, 0, 4, 1310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8303 + 48947 + 21092 = -1488*c - 129978 for c.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8*m + 13000 = -13*m, 5*b - 2*m - 12997 = 0. What are the prime factors of b?\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.21 + -13.21. Which is the biggest value? (a) 16\/5 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4\/4 - 4*t**3 - 5*t**2 - 10*t - 260. Determine a(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885477423?\nAnswer: 1885477423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 3:55 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/48 and 77\/20?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let c(g) = 91*g + 1. Let h(u) = -137*u - 1. Let j(v) = 7*c(v) + 5*h(v). Let d(f) = 95*f - 5. Let m(y) = -2*d(y) - 5*j(y). Calculate z(m(i)).\nAnswer: -2500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 45666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(110\/121))\/((-9)\/(-120)*20).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -256 + 270.3. Let b = g - -5.2. What is b rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157245, 628964, 1415157, 2515824, 3930965, 5660580?\nAnswer: 7704669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/15*5\/(-2). Suppose 0 = y*w - 3 - 1. What is the third derivative of -w*v**4 + 0*v**2 + 0*v**2 - v**2 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w + 4. Let j be u(-3). Let t be (-1 - -4)\/3 + j. What is the units digit of (-40)\/t - (-4)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 at most -4573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.893 from 0.0763.\nAnswer: 0.9693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 349390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - d - 1. Let z(l) be the third derivative of -l**5\/15 - l**4\/12 - l**3\/3 - 12*l**2. Let p = -5 - -3. What is p*i(v) + z(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 220.\nAnswer: -7480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 27, 5, 4, -1, -5217 in decreasing order.\nAnswer: 27, 5, 4, -1, -4, -5217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-1))*3*90*158\/(-15405)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/60 + w**4\/6 - w**3\/2 - 3*w**2. Let u be d(3). Suppose u*t + f = 5*t - 128, 0 = f - 2. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/6 (c) 22 (d) -4 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = h - 6*h + 115, 2*w - h = -41. Let u = 66 + w. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61901*t**3 - 1609464*t wrt t.\nAnswer: 371406*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298737340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 985*p + 1967. What are the prime factors of l(19)?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-2)*i**6*i*i**0\/(i*(i**(-2)\/i)\/i))\/((i**(-1))**(28\/9)*i**(-2)\/i**(1\/2)) assuming i is positive.\nAnswer: i**(281\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 + 2148*x\/13.\nAnswer: -2*x*(x - 1074)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let g(z) = 3196*z. Calculate g(w(n)).\nAnswer: 6392*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4630 + 6*d - 4*d + d.\nAnswer: 3*d + 4630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1607443 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 7*k + 11. Let p(t) = -3*t**2 - 4*t - 6. Let y be (-9)\/5*80\/(-24). Give y*z(r) + 11*p(r).\nAnswer: 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248630 is divided by 6363.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-173)\/3)\/((-6)\/18). Let x = k + -314. Let n = -41 - x. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 228*i + 275.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368224.\nAnswer: 2, 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*-3*(-8)\/(-6). What is the second smallest value in 1\/6, -0.3, 0.11, c?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let o = 0.02 + -0.52. Which is the smallest value? (a) x (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2998 (b) -0.4 (c) 8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/1 - -2)*2. Suppose -5*z = w*c - 67, -5*c + 10*c + 55 = 3*z. Solve q = 4*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14133*0.07.\nAnswer: 989.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 62 - 6. Suppose 15*k - 13*k - f = 0. Let n = 7 - k. Which is smaller: -7 or n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-44)\/924*-14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - 2 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -34 - (2 + 17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.148 take away 4598626?\nAnswer: -4598626.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8 and 30\/526933.\nAnswer: 4215464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3 + 3696911*n**2 - 36969185*n + 92423025 = 0.\nAnswer: -3696921, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 64\/20 + (2 - 4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 4. Let w(b) = 151*b + 0 - 1 - 158*b. Let g(u) = -20*u - 3. Let q(r) = -6*g(r) + 17*w(r). What is -2*p(k) + 6*q(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01291962 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/40*(-24)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12687*u**3 - 3*u**2 - u - 58*u**4 - 12687*u**3 + 5*u as i + n*u**4 + f*u**2 + m*u**3 + t*u and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -850*q**2\/3 + 16162*q\/3 - 76.\nAnswer: -2*(q - 19)*(425*q - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 8123.154.\nAnswer: 8118.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(4 - 4 - t)*(t - 2 + 2)*(-6 + 1 + 0) as i + b*t**2 + g*t and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 = i + t, 3*t = 4*i - 8. Suppose -3*p = 2*r + 6, 0 = -i*r - 4*p + 4 - 5. Factor 3 + 3*s**3 - 3 - 2*s**r.\nAnswer: s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - z + 11 = 0, 4*j - 2*z - 19 = -z. Let d(a) be the first derivative of a**3\/3 - 5*a**2\/2 - 2*a + 446. Calculate d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/6 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.56 - -2.14. Let g = n + 0.3. Which is the second biggest value? (a) g (b) 3\/8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*c - 15 = -5, -4*b + 2*c + 20 = 0. Suppose -5*z - 22 = 3, b*f - 585 = 3*z. Suppose k = -k + f. What is the highest common divisor of 38 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/8 + -3\/8. Let y = -6 - -4. Sort 0.5, y, i.\nAnswer: y, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*u - 7, q = -2*u - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6463826, -6463872, -6463948, -6464054, -6464190, -6464356, -6464552?\n\"Answer: -15*q**2 - q - 6463810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 3\/7 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797203?\nAnswer: 11, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3369663 and 11334321?\nAnswer: 124677531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -158040 divided by -8?\nAnswer: 19755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 2*p, g - 5*g + 12 = -4*p. Suppose g = -2*k - 0*k - 4. Suppose -1318*c = -474*c + 16472 - 24448 - 18188. Sort 0, c, k in decreasing order.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -21*n**2 + n + 117. Let p(z) = 78*z**2 - 5*z - 469. What is -15*k(c) - 4*p(c)?\nAnswer: 3*c**2 + 5*c + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4892\/(-2808) + (-24)\/(-624) and -71\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 32930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 3. Let r(i) = -31*i - 141. Give 6*o(a) + r(a).\nAnswer: -a - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 5*d - d**2)*(-3*d**2 + 4*d**2 - 2*d**2) - 556377*d + 3516*d**4 + 556377*d.\nAnswer: 3517*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 324 = -p. Suppose -53 = -3*f + r, -5*f + 2*r - 4*r = -p. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 38. Let o(j) = 4*j + 4. Let d be o(c). Suppose -2*l + 12 + d = 0. Solve l*p - p - 25 = 0, 0 = 2*r + p - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 + 24*f**4 + 16*f**3 - 352*f**2 + 768*f - 512.\nAnswer: -4*(f - 4)*(f - 2)**3*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -364?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v - 4*v)*(-1 + 5 - 3) + (-6 + 2 + 2 + (-3 + 0 - 2)*(5 + 0 - 3))*(-5*v + v - 4*v) in the form u + c*v and give c.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 749904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.86 and -40.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3 = -3*i, -15 = -w - i - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73138*w**5 - 145*w**2 - 3*w - 59.\nAnswer: 4388280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-6))\/((-2)\/12). Let i = 5 + -2. Suppose 2*m = 2*k + i*k + 18, 5*k = -10. Solve m*y + 4*v + r = 4, -22 = -2*y + 5*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*s + 4*s + 0*s)*(-s**3 - 3 + 3).\nAnswer: -2*s**4 - 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3. Suppose 7*t = 4*t + 3*k + 6, 3*k + 15 = 0. Let m(c) = 2*c**2 + 42. Determine t*m(d) + 42*y(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 3*d - 1. Let u be 56\/(-16) - (-1)\/2. Let y be x(u). Sort y, 4, 3 in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4)\/(1*18\/(-24)). Let j(u) = -2*u**3 - u**2 + 5*u + 2. Let w be j(d). Solve z = 6*z + b - 22, 0 = z - w*b + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - p - 3 = 0, -2*y + 4*y = 2*p. Suppose 0 = -0*n - y*n + 144. Suppose 2*i = -i + n. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 5) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12238 from -28.\nAnswer: -28.12238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86168159 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuquuququuqquuu. Give prob of picking 4 u.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 312.7501km?\nAnswer: 312750.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5 - 6*h**4 - 10*h**3 - 28198*h?\nAnswer: -40*h**3 - 72*h**2 - 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36 (b) -0.08 (c) -0.193\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1)\/3*(2 + -39 + 1) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 9. Determine j(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 + -3013?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(11) - (-2*sqrt(11) - sqrt(11) - sqrt(11)))**2)*-2.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98, 94, 80, 50, -2, -82, -196?\n\"Answer: -o**3 + o**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 2, h: 2, w: 1}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24280 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16320419 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**3 + 8*i**2 - 7. Let j(f) = f**3 - f**2 + 1. Let w(m) = m + 3. Let u be w(-2). Suppose -u = 4*z - 5. Determine z*d(y) + 6*j(y).\nAnswer: -2*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 9:08 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10 (c) 0.04 (d) 1\/4 (e) 49 (f) 11\/4 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -9.05. Let s = o + -9.000084. Round s to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 77. Let b be 5\/(175\/n) + 1. Put b, -3, 3, 0.02 in increasing order.\nAnswer: -3, 0.02, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 2*h**4 + 0*h**4 - 7 + 7 - 4*h**4 - 3*h**4 - 2*h**4 + 4*h**4 + (h**2 + h**2 + 0*h**2)*(1 + h**2 - 1) + (-h**4 + h**4 + h**4)*(4 + 3 - 6).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b**3 - 30*b**2 = 0. Calculate b.\nAnswer: 0, 30\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83729 greater than or equal to 83853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8377 + -5910. Let u = k + -1548. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 224078939, 448157876, 672236813, 896315750?\n\"Answer: 224078937*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - (-16)\/(-4)) + 2. Suppose 0*d - d = h*k - 98, 370 = 5*d - 5*k. Suppose -b + d = 6. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -5, 9\/26, 3, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*q + 529*q = 24528 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323295672 to the nearest integer?\nAnswer: 17980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -47, -62, -61, -38, 13, 98?\n\"Answer: d**3 - d**2 - 29*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203343126?\nAnswer: 2, 3, 7, 383, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*d - 32*d = -75. Let r(q) = -2*q + 6. Let i(a) = -2*a + 6. Let o(j) = d*i(j) + 6*r(j). Let m(u) = -u - 1. What is -6*m(k) - o(k)?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 94, 224, 410?\n\"Answer: 28*q**2 - 10*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -106, -353, -734, -1243, -1874, -2621, -3478?\n\"Answer: p**3 - 73*p**2 - 35*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + f + 1. Let u(y) = 7*y**2 - 2*y - 2. Let b(a) = 5*k(a) + 2*u(a). Let j be b(-1). Does 9 divide j\/3 - 56\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -99*o. Let b(a) = 31*a**2. Determine b(z(j)).\nAnswer: 303831*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27626488 and 7648?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.8 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - w + 2*w**2 + 2*w - 9 as x*w + v + f*w**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -6835\/949?\nAnswer: -6835\/949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7679 is divided by 1893?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 4*y**2 - 2*y - 37029. Suppose 5*h + 3*m = -13, 5*m + 3 + 4 = -h. Give w(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 20 + 98*b)*(3*b - 2*b - 3*b - b + 3*b + 0*b + (3 - b - 3)*(2 - 3 + 0) + 4*b + b - 3*b + 2*b + b - b) to p*b**2 + c + w*b and give p.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/30 + 7*k**5\/60 - k**3\/3 + 1326*k**2. Let r(m) = -13*m**2 + 7*m**2 - m**3 + 0 + 7*m**2 - 1. What is p(y) - 5*r(y)?\nAnswer: y**3 + 2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (0 - 3) - 33) + (971 - 973).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -171, -8, -5, -20 in descending order.\nAnswer: 5, 2, -5, -8, -20, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.020362, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-2))\/(-5) - (-4)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:51 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 20*p + 62. Calculate z(24).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 7, f: 1}. Give prob of sequence ky.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-77))\/((-2)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070977729 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1115*g**2 + 2*g + 685 wrt g?\nAnswer: 2230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 20*y - 89. Let x be q(8). Which is the third smallest value? (a) x (b) 2 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460787 = -2008*j + 1996*j + 63757. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**3 + 92572*n**2 + n + 538229.\nAnswer: -9*n**2 + 185144*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(363) + 0 - sqrt(363))**2 - (sqrt(363) + -1)**2*-2)*2.\nAnswer: -88*sqrt(3) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 172 = 5*c, 4*c + 62 - 206 = 4*g. Suppose -w = -i + 4*w - 6, 0 = -i + 2*w - 3. Calculate the remainder when c is divided by ((-9)\/i)\/(2\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + k**3 + k + 1 - 3 + 2*k - 2*k**3 - 2*k + (1 - 2 - 1)*(k**3 + k**3 - k**3) - 3*k**3 + 0*k**3 + 2*k**3 + 2*k**3 + k**3 - 6*k**3.\nAnswer: -7*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**3 + 5*m - 50*m**2 - 3*m + 53*m**2)*(2*m + 0*m - 8*m) to n*m + z + o*m**4 + i*m**3 + s*m**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 8 = -4*y + 37, 0 = -2*y + 2*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.7 and -106?\nAnswer: -1876.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456\/91 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168.912172 + 168.87. What is l rounded to 4 dps?\nAnswer: -0.0422","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -417.\nAnswer: -208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + f**2 + 0*f**2 + 2*f - 2*f - 2*f**2 + 2*f**2 - f + f + (-f**2 + 3*f**2 + 0*f**2)*(-3 - 2 + 7) - f**2 + 0*f + 0*f)*(-163 + 497 + 903).\nAnswer: 2474*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - n = 40477 - 41965 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 - (5 + -3)). Suppose s = -o + 6*o - 60. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 72. Let k be 76\/14 + v\/91. Solve 0 = -3*g + k*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*b + 212, 4*b - 4*f - 227 = b. Let a = 40 + -6. Suppose 2*s = 3*w + a - 172, -4*w - 4*s = -184. What is the highest common factor of b and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-7 + 7 - 4*g)*(-5 - 4 + 6).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i + 9 = 72*i. Solve -6*k + 10*k + 12 = -2*s, k + i = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 45*n - 6 = 4. Which is bigger: n or -18\/965?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111090 divided by 8?\nAnswer: 55545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234286.5 less than -0.1994?\nAnswer: -234286.6994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = 5*k, -4*k - 3*g = -k + 15. Let s be 2\/((-32)\/(-26)) + k. Suppose 5*l = z - 17 + 37, 0 = -2*l - 4*z + 30. Sort -0.1, s, l in increasing order.\nAnswer: s, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4 - 4)*(0*u + 7*u + 0*u) + (4 + 3*u - 4)*(-4 - 1 + 3))*(-4*u + 0*u + 2*u).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -2\/19, 70, 199\/2 in ascending order.\nAnswer: -2, -2\/19, 7, 70, 199\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 1\/2956, 1.7108?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -19*i + 190. Does 22 divide r(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -2\/75 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1782? (a) -0.1 (b) 5\/9 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.095 + 13.095. What is the third smallest value in 5, t, -10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4278149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51420\/9 - (-75)\/45.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**2*u**2 + 11*m*u**2 + m*u + 22*m + 4*u**2 + 476 wrt m?\nAnswer: 6*m*u**2 + 11*u**2 + u + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*v - 5*u = -1281*v + 46, -8*v - 3*u = 48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2666, -5453, -8406, -11525, -14810?\n\"Answer: -83*r**2 - 2538*r - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8657413 + 4?\nAnswer: 8657417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 621*h + 1876. Calculate z(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-20))\/(((-33)\/55)\/(84\/(-910)*-13))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 27*g - 78804 = 10*g. List the prime factors of g.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**3 + 0*n**5 - 1\/12*n**4 + 0 + 0*n**2 - n - 1\/30*n**6. Find the third derivative of q(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + k + 3. Let q(s) = -1505*s**3 + 6*s**2 + 6*s + 18. Give -6*p(x) + q(x).\nAnswer: -1499*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssspsspsss. What is prob of sequence ppsp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -282 - -290. Suppose 933 = 12*o - p*o + c, o = 4*c + 229. What are the prime factors of o?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bapd when four letters picked without replacement from bdaxxxp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 10*g - 2*g + 0 + 0 + (2*g - 3*g - 2*g)*(4 - 4 - 4) - 3 + 3 - 2*g as b*g + x and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 274495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 5, -4, 155 in increasing order.\nAnswer: -4, 3, 5, 13, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 3*b, 0 = o - 3*b - 9. Solve -o*p + 4*p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23 + -0.11. Let k = 0.08 + z. Let u = 1 + -6. Which is the third biggest value? (a) u (b) -2\/5 (c) 0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1892078, 1892357, 1892636, 1892915, 1893194, 1893473?\n\"Answer: 279*u + 1891799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30361 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -1\/24*m**4 - 1\/2*m**3 - 1\/2*m**2 - 4 + 0*m. Let f(p) be the second derivative of y(p). What is the derivative of f(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 47*c - 8. Let l = 72 - 56. Let d be v(l). Which is smaller: 70\/9 or d?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 1. Let b = -6 + 1. What is the third biggest value in b, n, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 197, 9, -177, -361?\n\"Answer: h**2 - 191*h + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppowee. Give prob of sequence wop.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*f - 47, -5*f - 32 = 5*o + 28. Put -3, o, -1, -4 in increasing order.\nAnswer: o, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 900225275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 110?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1496.\nAnswer: -5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*o - 80. Let d = o + 28. List the prime factors of (-2)\/(-24)*d - (-1396)\/24.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 8 + 20)*(-w + 2 - 2)*(-35*w - 10 + 2*w**2 + 2 + 32*w) as f + m*w**3 + c*w + d*w**2 and give c.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962 = -99*h + 25*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-17 - (2 + 0)). Let v = -19 - w. Let a be (-4)\/(-2) + 80\/(-38). Is v greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36649.\nAnswer: 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31020 + -2?\nAnswer: 31012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/(29\/(-116))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, a: 2, u: 5}. What is prob of sequence uauj?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 + -56?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48647255?\nAnswer: 5, 239, 40709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.34 - 3.35. Which is bigger: -0.11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/21 - 2*n**3\/7 + 8*n**2\/21 = 0 for n.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/6 + 15*o**2\/2 + 2*o - 18. What is l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*q + 25*q + 610 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3353 - 3350. Let n(u) = -39*u + 13. Calculate n(y).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1\/4 (b) -1798 (c) 5.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5311, 10622, 15933, 21244?\nAnswer: 26555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.31 and 0.3.\nAnswer: 12.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1206, 4, 483, 5 in descending order.\nAnswer: 1206, 483, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 39 - 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.56 + 0.5072. Let h = -0.2472 + j. Which is the second biggest value? (a) -4\/9 (b) h (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 2:33 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 - 2*x + 1. Let n(w) = w**3 - 4*w**2 + 3*w. Let z(f) = -f**3 + 5*f**2 - 5*f + 2. Let r be z(4). Calculate r*n(h) - 3*c(h).\nAnswer: h**3 - h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3)*-2) + 0 + sqrt(252))**2.\nAnswer: 847\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -98 divided by 25\nAnswer: -98\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.7 + -6. Let z = 18\/131 + -424\/1179. Which is the nearest to -1\/3? (a) 2 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47376 and 6430305.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = 34 + 101 - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 + 3*g**2 + 11*g - 72. Calculate i(-4).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/7 + 24072*j**3\/7 - 1864670*j**2\/7 + 8865852*j\/7 - 10465632\/7 = 0?\nAnswer: -12113, 2, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldp when three letters picked without replacement from pdrpaljj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552 is divided by 3244.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 428730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*7\/14.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 7*n**2 + 91 - 254 + 156*n + 9*n**2 + 4*n**2. Differentiate l(t) with respect to t.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 7983*r**3 + 99 + 98.\nAnswer: 7983*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22609 is divided by 154.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*x - 144, -458 = 42*x - 47*x + 4*p. Calculate the highest common factor of 9202 and x.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3 - 46\/(-115)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*v + 1158 - 364, 2*v - c + 531 = 0. Put v, 3, 5 in decreasing order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-8) - (-7)\/28. Solve -4*m - 6 = -2*c, 3*m = -y*c + 4*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2588, -2597, -2618, -2657, -2720, -2813, -2942, -3113?\n\"Answer: -d**3 - 2*d - 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from wtwptpqttpwttjppp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 65*v - 314. What is m(12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268782 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -511*t**2 + 996460*t\/3 - 6500\/3 = 0. Calculate t.\nAnswer: 10\/1533, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) - (sqrt(117) + sqrt(117)*2)) - (2*2*sqrt(117) + sqrt(117)))\/(3*-2*(sqrt(729)*-5 + sqrt(729) + sqrt(729))).\nAnswer: -17*sqrt(13)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**4\/12 - 7*q**3\/6 - q**2. Let n(j) = -j**2 - 4*j - 1. Let g be n(-4). Let t = 5 - g. What is l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqgcttnn. Give prob of sequence cn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6 + 11*k**2 + 7*k - 4*k**2 - 7*k**2 - k**2. Give n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + (6 - (0 - -4)). Suppose -3*l + g = -8. Let k be 38\/6 - l\/(-6). Solve 0 = -2*n + 1 - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5522663 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-4 + ((-1445)\/(-360) - 0)) is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.48 + -15.480659. Round y to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*w + w. Let k = w + 5. What are the prime factors of ((-2)\/5)\/(k\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 11085 - 2928 = -555*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/(10075\/702) + (-3)\/(-5). Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 75, 169, 313, 513, 775, 1105, 1509?\n\"Answer: h**3 + 16*h**2 - 5*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1813 divided by 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 + 23*j**2 + 15*j + 12. Let l be p(-7). Solve 0 = m - l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107876282 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r + 24. Let w be a(-6). What is the tens digit of 835*((-9)\/(-60) + (-3)\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-351)\/(-6))\/(-13)*-2. Let a(x) be the first derivative of 4*x**2 + x - 1. Let b(i) = -2*i. Give l*b(c) + 2*a(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(28)\/(sqrt(4)*-4)))**2 + -1.\nAnswer: -16*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -446*1\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 12)*(-7 - 2 + 5)*(2*z - 4*z**5 - 2*z - z) + (7*z - 3*z - 3*z)*(-2*z - z**4 + 2*z) + z**5 + 4*z**5 - 3*z**5.\nAnswer: 113*z**5 + 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4151*u + 574*u - 3576*u - 896*u - 10575 + 80*u wrt u?\nAnswer: -7969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07624 - 0.05277. Round a to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.6. Let u be (4440\/160)\/((-3)\/(-4)). Suppose -5*t + u = -2*o + 45, -4*t = 2*o - 8. What is the second biggest value in o, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-6))\/(3507\/(-835)))\/((-2)\/(-4))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n - 9. Let s be d(-7). Let i be s\/(-5) + (-3)\/(-15). What is the nearest to 1 in -4, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 36*p**2 + 29*p + 96. Let w be z(35). Let r = w - -172. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24293, 24277, 24263, 24251, 24241?\n\"Answer: v**2 - 19*v + 24311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + 1600.812751\nAnswer: 1600.832751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20454 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 219464 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - 10. Let j(b) = -b**3 + 18*b**2 - 39*b - 20. Let m be j(3). Sort 2, m, g, 0 in increasing order.\nAnswer: g, m, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/5)\/((-242)\/(-605)). Solve 10*i - 6 = d*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -1. Let w be -2 + -2 + 2 + a. What is the closest to 1 in -0.4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-2 - 140 - -1). Let u = d - 22. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1896 = -22*p + 25*p - 2*y, 1253 = 2*p - 5*y. Let s = p - 631. Sort -2, -3, s, -31 in increasing order.\nAnswer: -31, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*a**3 + a + 2*a - 245*a**3 - 4*a**4 - 11*a**2 to the form p*a**4 + v*a**2 + i*a**3 + m*a + t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 8:25 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2574 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.029 and -177.847?\nAnswer: 176.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 923 + -811. Calculate the least common multiple of ((-66)\/6)\/((-2)\/4) and j.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 7}. What is prob of sequence ge?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3276 and 14?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b = 123*b - 77. Calculate the remainder when 129 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 40. Let y(a) = 2*a**2 + 5303*a + 2. What is y(t(o))?\nAnswer: 8*o**2 - 10926*o + 215322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*h - 199*h + 298914. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.107 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112481 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 194*z - 133*z + 262*z.\nAnswer: -65*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/7781634 and 77\/36?\nAnswer: 15563268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*(0 + 1). Let a be 2 - 4 - (0 - t). Suppose -3*v - 10 = 2*v. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 8022810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/313, 9, 31, 4.34?\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 5, j: 2}. Give prob of sequence juuj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00379087 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -0.1 (b) 1\/68 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 14. Let i be o(-6). Let f = 0 - i. Let b(n) = -2*n**2 + 6*n**2 - 3*n**f - 2*n**2. Let g(q) = -4*q**2. Give b(g(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1010110110001 (base 2) to base 8\nAnswer: -12661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + ((6*(2*sqrt(833) - sqrt(833)) - sqrt(833))*-3 + (sqrt(833) + 2 + 2*sqrt(833) + 2*(sqrt(833) + 0))**2)*3).\nAnswer: 315*sqrt(17) + 187467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -52. Let j(x) be the first derivative of 2\/3*x**3 + 0*x**5 + 0*x**4 + z*x**2 + 4 + 0*x + 1\/3*x**6. What is the third derivative of j(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.308 times 0.02?\nAnswer: 0.06616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -7) + 660\/(42 + -20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) + (sqrt(3) - sqrt(3)*-2)*3).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 147 (b) -0.4 (c) -1\/5 (d) -4\/5 (e) 0.43 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 35 + (1399 - 1410)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 p, and 1 d when four letters picked without replacement from bbqqsdsbspqddppqddds?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.5 to 0 decimal places.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5353 + -43507. What is k rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c*i*p**2 - 3245*c*i*p - 2*c*p**2 - 2*c*p - 21*c + 94*i*p**2 + 77*i*p - i + 247*p**2 - p wrt p.\nAnswer: 16*c*i - 4*c + 188*i + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 856415 and 8120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**4 + 2*s**3 + s + 1. Let v(m) = -8*m**4 - 5*m**3 - 3*m**2 + 76*m + 55. Let f(i) = 36*t(i) - 4*v(i). Factor f(q).\nAnswer: -4*(q - 23)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 27*j + 1. Let k be s(1). Suppose k + 14 = 3*y. Factor 2*w**2 + y*w + 2 + 23*w**2 - w**2.\nAnswer: 2*(3*w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146415468 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*5*306\/(-270). What is the second biggest value in 101, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -2*j + 14 - 34\/3*j**3 + 1\/2*j**4 + 0*j**2. Find the third derivative of v(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -632213 divided by 1.\nAnswer: -632213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(1 + -9))\/((-22)\/(-44)). What is the nearest to f in -0.2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 3*w**4\/8 - 7*w**3\/6 + w**2. Let h(j) = 13*j - 10. Let d = -30 + 23. Give d*g(q) + 5*h(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2140 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:00 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -27*q + 2571. Calculate the remainder when 202 is divided by n(95).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -876*y + 1752. Let k be q(2). Solve k = -101*r + 100 + 203 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 109924.131431 and 1?\nAnswer: 109923.131431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 + p - 1. Let j be s(1). Let f(z) = -z**3 - 8*z**2 + 10*z + 13. Let q be f(j). Let g be (-2)\/(-1*(-8)\/4). Put 0, q, g in decreasing order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503761801?\nAnswer: 19, 23, 1152773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 672*u + 18691. Calculate a(362).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 200 - n**2 + 137 + 2*n + 0*n**2. What are the prime factors of a(0)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212222 - 311?\nAnswer: 2211311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87658, -350688, -789078, -1402834, -2191962, -3156468, -4296358?\n\"Answer: -f**3 - 87674*f**2 - f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5*(sqrt(176) - (3*sqrt(176) + -3)) + -1*((sqrt(176) + (sqrt(176) + (sqrt(176) + 1 - sqrt(176)))*5 - sqrt(176)) + sqrt(176)))*-1)**2.\nAnswer: -640*sqrt(11) + 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 621, 1871, 3745, 6243?\n\"Answer: 312*u**2 - 310*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, -9, 1, 4, 5, -4 in ascending order.\nAnswer: -9, -4, 1, 4, 5, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*3\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 19 = -5*f, -f = f - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -348 (b) 4.2 (c) -41559\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*b - 0*g - 20, 5*b = -3*g + 32. Suppose -b*p + 15 = p. Find the third derivative of 4*s**p - 8*s**2 + 2*s**2 - 3*s**3 + s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/((-10)\/(-55)*11). Let p(z) be the first derivative of z - 6 + 2\/3*z**3 - 3\/2*z**a. Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -26. Suppose 0 = -4*l + d*l + 9, -16 = -k + 5*l. Let t = 1284.4 + -1284. Sort -5, k, t in decreasing order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 13*u + 12. Suppose 0 = -0*m + 3*m - 36. Let r be x(m). Solve r = -4*i + 3*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 208.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 147. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65325.4 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -51 - 81. Suppose -11*y + 448 = 261. Calculate the remainder when b is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 0.016\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -941773 divided by -9709\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2398645\/21 + 684823\/6. Let y be 1048\/14 + (-1 - -1). Let s = y + o. Calculate the common denominator of s and -113\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 5*h**2 + h - 3. What is the remainder when l(6) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {s: 1, h: 1, g: 1, u: 7, z: 5, e: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 + 2*c**2. Let l(x) = -16*x**3 - 11*x**2 - x - 1. Let i = 4791 - 4802. What is i*q(z) - 2*l(z)?\nAnswer: -z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20*6)\/(1 + -7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 3. What is k(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(-159*222\/(-2212008)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*y + 2*y. Suppose -y*a + 12 = -53. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 9*k + 9*k)*(16755 - 16756 + 8*k**2 + 9*k**2 - 3*k) as z + j*k + i*k**3 + o*k**4 + n*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*b - 0*n + 8, 0 = 5*n - 10. Let l = 6 + b. Suppose -l*u + 5*v = 2*u - 25, -8 = 2*v. 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 least common multiple of 40589302 and 23834?\nAnswer: 40589302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + f + 3 + 0*f. Suppose 0 = -4*u + 10 - 26, 4*u + 61 = -5*d. Let i be l(d). Calculate the greatest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c**2 - 3*c - 3. Give p(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 104\/16 + 5\/50*5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.023 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-57)*108\/432?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.05 (b) -0.01 (c) -1\/9 (d) -2\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3087315 is divided by 290?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5175.798 grams?\nAnswer: 5175798000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y - 5. Let m be a(6). Let d = 30 - m. Let v = 51 + d. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586336322 is divided by 2246.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4409911 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 31. Let x(h) = h**2 + 5*h - 11. Let m be x(-7). Suppose -w - m*w = -t. Solve 2 = -n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64617572*b + 64617564*b - 240 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 3*a**2 + 12*a**2 + 6 to the form n*a + u*a**2 + f and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -4*o + 12, 0*o - 5*o + 2*m = 3*m - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 18*x - 1035. What is r(-24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb40f (base 16) to base 14.\nAnswer: -353915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 7 - 15) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -80*i + 6. Let m be o(11). Let q = m - -1255. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -9*k + 3. Is k != -13\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10000?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*v)*(-7*v**4 - 6*v**4 + 22*v**4) + 2*v**3 + 12*v**5 - 51*v**5 + 2 - 10*v**5.\nAnswer: -13*v**5 + 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1104\/22 - (-5 + 285\/55). Suppose m + s = 5*g, -4*m + m = 5*g - 50. Solve 0*f + 4*w - 14 = f, -g = -f - 4*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 - i - 6. Let m(w) = 8*w**2 - w - 5. Suppose -2*z = -v - 6*z + 15, 0 = -2*v + 4*z - 30. What is v*q(o) + 6*m(o)?\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8202009 and -2632056.\nAnswer: -10834065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40203 and 75670980?\nAnswer: 4467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*h*q**2 + h*v**2 - 2*q**2*v wrt v?\nAnswer: 2*h*v - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 2.\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/((-2)\/(-2)) - -26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112263 + 89048.2?\nAnswer: 201311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 139970 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axc when three letters picked without replacement from {c: 2, x: 4, a: 3, s: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**4 - 4*q**3*w**2 - 5*q**3 + 124*q*w**2 wrt q?\nAnswer: 60*q**2 - 24*q*w**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 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: What is (-4*(-1)\/(-28))\/((36\/6)\/(-546))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -189, -339, -495, -657, -825?\n\"Answer: -3*z**2 - 135*z + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 0. Suppose 8*j - 290 = 3*j. Suppose -2*u + h*l + 64 = 2*l, -l = -2*u + j. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101111011 (base 2) in base 12?\nAnswer: -444b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3659\/4 - -927. Calculate the common denominator of ((-14)\/44)\/(12\/96*-4) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6948 - 13894 - 17*o - 2*o**4 - 15*o**2 + 0*o + 6944 to the form c*o + j*o**2 + y*o**3 + k + f*o**4 and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**30)\/(w*w**(1\/8)) assuming w is positive.\nAnswer: w**(-233\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1269 (base 11) to base 16\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -6 + 1 + 2. Let a be (n\/(-4))\/((-1)\/(-2)). Solve 4 = t - a*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 n, and 1 k when four letters picked without replacement from {k: 1, a: 1, n: 1, v: 5, m: 3, r: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31248848*-0.2.\nAnswer: -0.062497696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let j(f) be the first derivative of 0*f**2 - 2\/3*f**3 + 6*f + 1. Give j(t(z)).\nAnswer: -2*z**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h = -25 + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92995555, -92995555, -92995553, -92995549, -92995543?\n\"Answer: r**2 - 3*r - 92995553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 39 (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*2 + (sqrt(5) - sqrt(315)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104776, 209550, 314328, 419110, 523896, 628686, 733480?\nAnswer: 838278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*m = 68, -4*m + 561 = 2*d + 1167 - 538 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.06, -1, 14, 119, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1901 + 2.659028999.\nAnswer: 3.849128999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and 260790639.\nAnswer: 260790660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from momnoymooyoymoqy. What is prob of picking 1 n, 1 y, and 1 q?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 3*k - 111*k**2 + k.\nAnswer: -111*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4401500 + 2?\nAnswer: 4401502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69967 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**4 - 87*k**3 - 657*k**2 + 903*k + 1470 = 0?\nAnswer: -7, -1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7655 is divided by 688?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 155 = -170. Let r(c) be the second derivative of 0*c**2 - 6*c + 1\/20*c**4 - 1\/50*c**6 + 1\/10*c**3 + 0 - 3\/100*c**k. What is y in r(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -4*u**3\/3 + 49*u**2\/2 + 1553*u + 2417. What is the derivative of b(q) wrt q?\nAnswer: -8*q + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189334879*g - 21*g**2 + 189334879*g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15387, 60442, 135525, 240630, 375751, 540882, 736017, 961150?\nAnswer: 1216275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + s + 2 = -0, -2*s = 3*c + 4. Suppose i + 3 - 12 = c. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 + 150*w\/7 - 1875\/7.\nAnswer: -3*(w - 25)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(14)\/sqrt(2))*1.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = -5. Suppose -57 - 8 = -5*d. Solve -3*v = 4*b - 11, m*b = -v - 2*v + d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*3\/(-2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 11) in base 9?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6691, -12691, -17999, -22615?\n\"Answer: 346*s**2 - 7038*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -282093*-0.4\nAnswer: 112837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 16, 1, -13, 9 in descending order.\nAnswer: 16, 9, 1, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -130. What is the closest to 1 in 0.1, 0.02, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776 greater than or equal to 8776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837999.\nAnswer: 23, 157, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 3*f - 5. Let r be x(6). Let h = 72 - r. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4, 64 in descending order.\nAnswer: 64, 4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 4*u - 12. Let p = 13 - u. Suppose -f - 4*r = -15, -2*r = -f + 2 - 5. Solve 1 - p = f*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9417 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153562506 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 764302\/603 + 1\/1206. Let i = -1221 + r. Calculate the common denominator of 51\/46 and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c - 16. Let k be l(7). Suppose k*j - 9*j = -20. Suppose -s + x - 5 = 0, j + 0 = -5*s + x. Solve -3*n - n - 20 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -824 and 62397850.\nAnswer: 62397026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**2*n - 12*k*n**2 - k - 227*n**2 wrt k?\nAnswer: -2*k*n - 12*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42448*i**2*o + 35*i**2 + 19*i*x + 4*o*x - 49 wrt o?\nAnswer: -42448*i**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/72*((-45408)\/192 - -79)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**2 + 14*p + 21. Let h(v) = -4*v**2 + v**2 + 7*v - 12*v - 7. Let g be (-979)\/(-143) - 2\/(-13). Let d(f) = g*h(f) + 2*w(f). Calculate d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 93 - 182 = -4*d + 4*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nywcwqnqpppnnnppnnp. What is prob of sequence pqy?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, x: 2, l: 1, b: 1, c: 1}. Give prob of picking 1 b and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-16)\/(-4) + 171 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 57*f + 15. Let l(y) = 47*y + 15. Determine 4*c(n) - 5*l(n).\nAnswer: -7*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/11)*m*m)\/(m*m\/m**(-9))*(m\/(((m\/(m**10\/m))\/m)\/m))\/m*m**10\/m assuming m is positive.\nAnswer: m**(118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 2*u. Let r be ((-247)\/38)\/((-1)\/2). Suppose 0 = -9*c + r*c - 144. Let b(g) = 16*g**2 - 38*g. Let k(a) = c*v(a) - 2*b(a). Factor k(z).\nAnswer: 4*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 2)*-1 - 368\/414*-27.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-370)\/((-20)\/12 + 3\/(-9)). Calculate the highest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r - 148*r + 515*r + 287*r = -23968 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1\/112*p**8 + 2\/35*p**7 + 1\/10*p**5 - p + 0*p**3 + 6*p**2 + 0*p**4 + 1\/8*p**6 + 0. What is g in w(g) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19488086.\nAnswer: 2, 17, 573179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 3. Suppose 20 = -4*u, 4*d + 0*d + 2*u = -2. Let i be n(d). Let p be (-2)\/(-12)*-2*(-65 - -32). Solve -i*o = -p - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/538092, 3\/7, 3.7?\nAnswer: -1\/538092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a + 108069 = 29*a + 34*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 5:39 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.5 + -51. Let k = q + -11. Let h = k - 3. Which is the biggest value? (a) h (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w - 123*w - 54*w.\nAnswer: -150*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 78. Calculate the remainder when h is divided by (-18)\/(-12)*400\/15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2\/9 in ascending order.\nAnswer: -2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*u + 20, 4*u = 6*g - g - 16. Solve -6 + u = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ttrgt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 38*g**2 + 23318*g + 61110. Give p(-611).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:47 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + w + (-2 - 1 + 1)*(0*w - 3*w + w) + 0 - w + 0 + 3*w + 0*w + 0*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3793*l**3 + 2 - 1 + 12899*l**3 - 1.\nAnswer: 16692*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + -3*((sqrt(304) + 1)**2*1 + -3).\nAnswer: -911 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 166?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 4*o - 23. Suppose 2*m = 5*m + 2*m. Suppose m = 3*w - 1 - 8. Let r be s(w). Let n(f) = -6*f - 2. Determine n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 32 = -6*c. What is the remainder when 70 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) 4\/7 (c) 17188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*v - 12640 + 35198, 5*v + 56423 = 3*f. Let r = 67303\/6 + v. Let o = r + 1147\/18. Find the common denominator of o and 67\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 3*d + 99. Let g = -142 - -147. Suppose h + 2*h - 2*l - 604 = 0, -3*h + 569 = g*l. Calculate the highest common factor of d and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 653 and -2.\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/90)\/(15\/18 - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + -49 + 9 + 59?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116 + 3?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7667748 is divided by 250.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -224*r - 7835. Give f(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**6*p**(-4))\/(p\/(p**0*p))**(-24))**(-9\/5))**(2\/17) assuming p is positive.\nAnswer: p**(-36\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14543 (b) 0.4 (c) -2\/39 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*z - 228 = 0. Let y be (0 - 1) + (z - 34). Solve -2*h = 5*u - 6, -h = y*u - u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6840)\/(-11340) + (-8)\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 22*c - 15. Let m be n(-19). Let l be 18\/m + 1476\/(-14). What is the hundreds digit of -1 - (-4 + l - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*h - 2*h. Calculate the greatest common factor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4168 (base 16) in base 15?\nAnswer: -4e64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -418*u**2 - 3*u - 2. Let f(b) = -12*b. Give f(g(r)).\nAnswer: 5016*r**2 + 36*r + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.02672 (b) -1\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or 13676\/79?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133 - 88 - 7)*(0*s**2 + 0*s**2 - s**3) to a*s**2 + w*s + j*s**3 + l and give j.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17069 and 429.\nAnswer: 563277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18166*i - 181 + 18166*i + 2*i**3 + (-4 - 4 - 4)*(-2*i + i**3 + 2*i) + 3*i**3 + 3*i**3 - 4*i**3.\nAnswer: -8*i**3 - 181","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/9 + 22*g**3\/3 - 5054*g**2\/9 + 2654*g - 3124 = 0. Calculate g.\nAnswer: -71, 2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17592 - 9051. Let i = f - 15102. Let d = i + 14261. What is d rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from ccxcxc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 9:42 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143110 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-2)\/2) + 2. Suppose 0 = 10944*h - 10993*h - 49. Which is the third smallest value? (a) r (b) h (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (244\/(-16) - -3)\/((-1)\/4). Factor 4*w**2 + 17*w + 15 - 4*w**5 + 23*w**3 + 1 - 4*w**4 - 3*w**3 - p*w.\nAnswer: -4*(w - 1)**3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -0.16?\nAnswer: 5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:02 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:40 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 1. Let k(t) = -4*t**3 + 2*t**2 - 2*t - 5. Let q(u) = 2*u - 4. Let d be q(4). Suppose d*a + 4 + 0 = 0. What is a*k(p) + 5*o(p)?\nAnswer: -p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in 2, 5, 2\/13, -880, 0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 + 6. Let j be (2 - -1)*d\/6. Let m(n) = -n**2 + 3*n + 4. Let w be m(3). Solve j*t + 6*v + 28 = v, w*v + 26 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 12*t**2 - 6*t**2 - 5*t**2. Let y(u) = 0 + 2 - 4. Let w(q) = q + 7. Let j(h) = 2*w(h) + 7*y(h). What is x(j(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*d - 10*d = 35, -5*h - 3*d = 59 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 12) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*m - 190*m = 29856. List the prime factors of m.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68277479 take away -0.323?\nAnswer: -2.35977479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*c + 414 = 258, -29 + 286 = -5*b + 6*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407\/(-113498)*44\/60?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3013926 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 + 0)*(3 - 3 + 7*h - 2)*(2*h**4 + 0*h**4 - h**4).\nAnswer: 77*h**5 - 22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.76 - -0.24. Let i = 1094\/63 - 120\/7. Which is the closest to 3? (a) -1\/6 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -228*h + 1370. What is m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-55042)\/5694)\/((2\/8)\/(12\/(-16)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from ptuxcep?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by ((-9152)\/(-715))\/(4\/10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 6*k**2.\nAnswer: -k**2*(k - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 - -127. Let b(r) = 5*r**3 + 2*r**2 - 4. Let j(f) = 4*f**3 + f**2 - 3. Calculate o*j(u) - 3*b(u).\nAnswer: u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 8. Let n be p(-8). Suppose 5*c - 29 - 6 = n. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 146136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - (-17)\/((-1309)\/682). Factor 3\/7*h**2 + 0 + 2\/7*h - y*h**4 + 0*h**3.\nAnswer: -h*(h - 2)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 912 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 9097544*l - 5172831676996.\nAnswer: -4*(l - 1137193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 3, z: 1, l: 9, p: 1, m: 3}. What is prob of sequence mmoz?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4271*p - 136677. Let n be k(-32). Let b = -0.3 + 0.2. What is the closest to b in n, -4, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4\/7 (b) 0 (c) 1 (d) 1\/6 (e) -6713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 49*w**4\/12 - w**3\/3 + w**2 + 8*w. Let s be b(1). Let h = s - 77. What is h rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.56 + -35. Let n = 0.04 + p. Let r = n - 0.597. Round r to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 663, 2689, 6043, 10707, 16663, 23893, 32379, 42103?\n\"Answer: -3*d**3 + 682*d**2 + d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17. Suppose t = -5*f + 3*f - 1140. Round f to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2. Let w(d) = -14299962*d. Give w(z(a)).\nAnswer: 71499810*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 23. Let u = -950 - -948. Which is the closest to u? (a) 3\/4 (b) v (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -0.1. Let f = -279764 - -3641610\/13. Let z = f + -360. What is the second biggest value in -4, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 37\/3 + (-6 - (-68)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, -1\/3, 3917, -11, -0.2 in descending order.\nAnswer: 3917, 0.1, -0.2, -1\/3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*s + 14*s - m - 20, -s + 4*m = -23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2175, -2163, -2137, -2091, -2019?\n\"Answer: b**3 + b**2 + 2*b - 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 16*v**2 + 14*v + 1. Give q(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r - 32. Let d be o(4). Suppose -2*u = -0*y + 5*y + 24, 5*y + 12 = d*u. What are the prime factors of (3 - -108) + u + 1?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30254116 at least -30254112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174086 and 4510?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100011010 - 1000?\nAnswer: 101010100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Let z be -1 - -2*1 - -2. Let n = 4 + -1. Solve -z*j + 5*j = n*a - 3, -4*j = v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 56 = 4*q - x, -5*q + x = 64. Calculate the common denominator of (q\/14)\/((-20)\/(-95)) and -67\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3259 and 155.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1696815 kilograms in milligrams?\nAnswer: 169681.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 0*m. Determine f, given that m - 2\/5*f - 2\/5*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 506035 and -4.\nAnswer: -2024140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 7. Let s = 846 - 847. Let l(r) = -r - 6. Let i(q) = -q - 5. Let k(m) = -5*i(m) + 4*l(m). What is s*t(v) + 5*k(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*4\/1. Let l(m) = m**4 - m**3 - m. Let r(g) = g**5 - 3*g**4 + 3*g**3 + 2*g. Let v(b) = t*l(b) - r(b). What is the second derivative of v(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(14\/21)\/(8\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, a: 4}. What is prob of sequence lal?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at least as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 694 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:24 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1546 in increasing order.\nAnswer: -3, -2, 1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 30. Suppose 4*v + 189 - 19 = -3*x, -4*x + p = 0. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 74*i - 759. Determine j(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3916, 9011, 15358, 22957, 31808?\n\"Answer: 626*i**2 + 3217*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-3))\/5*(104 - 14). What is the greatest common divisor of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/5 - 181064*t\/5 + 181084.\nAnswer: -4*(t - 5)*(t + 45271)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990294453.\nAnswer: 7, 284327779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2. Let b(j) = -2*j**2 + 34621*j - 2. Calculate b(r(n)).\nAnswer: -8*n**4 - 69242*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 5, t: 1, c: 4, o: 5}. Give prob of sequence ww.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 6) to base 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**5)\/(n**0\/n*n\/n**(-6\/11))*(n\/((n*(n*n**2)\/n)\/n))**(4\/3)\/(n**1*n\/n**(-2\/13)*n) assuming n is positive.\nAnswer: n**(-6020\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000073269 rounded to six dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25270 and 10194170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 11 (c) -0.01 (d) -0.3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/30 + 53*y**4\/4 + 1522*y**2. Find j, given that s(j) = 0.\nAnswer: 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111011110001100100 (base 2) in base 4?\nAnswer: 112323301210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34453 = 7*t + 30535. Let v = t + 13587. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (96 - 303) + 220.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355254?\nAnswer: 2, 3, 59209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -9 - 1 - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1079650 and 825?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:19 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -171, 20, -14, -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116 and 312852?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13915, -13916, -13917?\nAnswer: -13918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 0, 2*o + 4*j + 6 = -18. Let a be o\/(-10) - 8\/(-5). Calculate the greatest common divisor of 22 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/16 and -97\/168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560333416*d**2 - 12*d**3 + 560333416*d**2.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 378690 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8194 and 9\/68.\nAnswer: 16388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**7\/280 - m**6\/40 + 13*m**5\/80 + m**4\/8 - 3*m**3\/2 + 257*m**2. Find b, given that f(b) = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 17. Let k be j(11). Let p = -66.6 + 73. Let g = 6 - p. Which is the smallest value? (a) k (b) g (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1460, 1463, 1466, 1469, 1472?\n\"Answer: 3*z + 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 152 = -6*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i + 212. Determine r(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 684, 5 in decreasing order.\nAnswer: 684, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -4. Let j be 5 - 2 - s\/5. Solve j*m**2 - 2*m + 4\/5 = 0 for m.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368914 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91 and 34.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30310020 (base 4) in base 15?\nAnswer: 10843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2317, 2308, 2295, 2278, 2257?\n\"Answer: -2*c**2 - 3*c + 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 - i**2)*((-3 - 3 + 7)*(-i + 4 - 4) + 5*i + 31*i - 7*i).\nAnswer: -84*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137 >= 4138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.0201 and 0.1.\nAnswer: -0.30201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 20. Let i = 369 - 579. Let q be (i\/(-49))\/(2\/(-126)*-3). What is the greatest common divisor of q and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*d**2 + d - 4*d + d - 38*d**2 + 771 + 115*d**2 in the form y*d + l + i*d**2 and give l.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.629 - -0.629. Let k = 0.08 + -0.18. What is the third smallest value in x, 0.5, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 295*v**2 - 4*v - 4. Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10926056 and 57\/146848?\nAnswer: 568154912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 58 - 23 - 20924*t + 58*t**2 + 20923*t in the form s*t + g*t**2 + w and give w.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from vxvxxxvxxv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216241 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4344926.67us to weeks.\nAnswer: 0.000007184071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:12 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(637)*-5*3 + 5 + -2 + 4)**2.\nAnswer: 420*sqrt(13) + 143329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + ((-6*2*sqrt(315))\/sqrt(9))\/(6*1*sqrt(180)))*5)**2.\nAnswer: 200*sqrt(7)\/3 + 1600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -110*u**3 - 3*u**2 - 14*u - 5. Is p(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 4. Let b(g) = -515*g - 11. Give -b(k) - 3*x(k).\nAnswer: 518*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481513921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*g + 2*u + 25, 7*u - 50 = -10*g + 9*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.046 - -0.154. Which is the second smallest value? (a) 1 (b) -1 (c) 3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 139\/1692.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -3.4, 12?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Let w = 2 + 3. Which is the third smallest value? (a) h (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q - 2*w, 4*w = -5*q + 2*q + 6. Let x(y) = -y**2 - 5*y - 5. Let c be x(-5). Let h = q - c. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 33*g**2 + 15*g + 547. Calculate t(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 31*b**3 + b**2 - 15*b + 40. Calculate the remainder when 2558 is divided by f(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*n**4 + 2*n**2 - 30280*n + 2642920 wrt n?\nAnswer: 32*n**3 + 4*n - 30280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25663036?\nAnswer: 2, 7, 916537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - -33) + 3)*3\/6 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 2*b + 22, -2 + 0 = -4*p - 3*b. Solve 10 = -2*r + 3*m + 9, 3*r - 18 = -p*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321.394 - -315.19292. Let v = 38.2 - 32. Let i = v + o. Round i to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4056)\/(-10140))\/(((-6)\/(-465))\/(-1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87664981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 679?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -30.74. Let u = -0.24 + z. Let r = 0.1 - 0.1. What is the closest to r in u, -4, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - 3. Let a = -20.128 - h. Let f = -0.13 - a. What is f rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 98*i - 65. Let j be q(32). Sort j, -2, 3, -6 in decreasing order.\nAnswer: 3, j, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37248 and 31785?\nAnswer: 394642560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2 + sqrt(833))**2 - sqrt(17)) + 4 + -1).\nAnswer: 54*sqrt(17) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 + -0.171139.\nAnswer: 19.828861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 43 + 33. Solve 0 = o*v + 2*b + 1 + 7, b - 5 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.66 + -13.7. Let n = q + 59.24. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 7*b. Let u be z(6). Let y be u\/9 + 8\/6. What is the second derivative of 22*h**2 - 22*h**y - 2*h - 10*h**3 wrt h?\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1880 is divided by 311.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 44 = -17*u + 23*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 8*u - 1. Let s be 2\/(-4) + 52\/8. What is the tens digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73829446 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 - (-20 - 7). Let v = 43 - w. Is (-24)\/v*2362\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -2\/29, 0, -4\/59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(228) + (sqrt(228) - (1*sqrt(228) - sqrt(228)) - sqrt(228)))*-3)\/(sqrt(768)*-2*-2))**2*-1.\nAnswer: -171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qam when three letters picked without replacement from {m: 1, a: 2, d: 1, q: 1, e: 2, g: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 4*s, 3*q + 4 = 5*s - 5. Suppose 3*r - 9 = 27. Suppose 4*h - r = 4*b, q*h - 19 + 1 = -b. Calculate the smallest common multiple of 5 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449951\/11 >= 40906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 610637662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:15 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-2)\/3). Suppose l*u - 24 = -u. What is the remainder when 12 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 17*m + 2. Let o(l) = 32*l**2. What is v(o(c))?\nAnswer: 544*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23085 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.228 rounded to 0 dps?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 3*q - 18 = 0, 27 = 3*o + 5*q. Let d(r) = r**3 - 6*r**2 - 10*r - 2. Let v be d(o). Suppose 145 = 4*l - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559142767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7030 * 40974\nAnswer: 288047220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*x**4 + 8*x**3 + 28*x**2 - 8*x.\nAnswer: -4*x*(x - 1)*(x + 1)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 + 21*p**2 - 30. Let a(o) = -o**3 - 3*o**2. What is -14*a(y) - 2*m(y)?\nAnswer: -2*y**3 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - x + 200 - 30 + 19.\nAnswer: 2*x + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/124632 and 35\/27696?\nAnswer: 249264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7493\/3 + 2482. Which is smaller: -17 or c?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*v - 1415*v + 711*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 + 11*i + 5. Let q be n(-11). Suppose q*z = 30 + 5. What is the greatest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:06 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*11\/44*2\/(-4). Let b(w) be the second derivative of -1\/2*w**3 + 10*w + 1\/20*w**5 + 0*w**4 + p + 0*w**2. Find the second derivative of b(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407*b**2 + 3*b - 331*b**2 - 3*b)*(-8*b + 0*b + 0*b).\nAnswer: -608*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 28*m**4 - 115*m**3 - 296*m**2 + 873*m - 90 = 0.\nAnswer: -3, 3\/28, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13245557 to the nearest integer?\nAnswer: 3639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -73. Suppose 0 = -z + 3*h - 804, r*h = 2*z - 694 + 2308. What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:37 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -5 (c) 1\/7 (d) -8 (e) 2\/9 (f) 26\/20703\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/91 - (-212)\/26. Let o = w + -11. Let y = o + 6. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.373 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m**2 + 3*m - 12. Let r(p) = 6217*p. What is r(z(v))?\nAnswer: 130557*v**2 + 18651*v - 74604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455010 is divided by 103918?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*70\/(-10))\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 219 + 74 + 66 + 79.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2754*z = 2757*z, -v + 2*z + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 4. Let y be t(-8). Suppose y = -2*m - 0*x - 4*x, -4*m + x = -3. Suppose m*j = 6*j - 204. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-5772)\/(-555)*900\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 5*r + 8. What is g(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let l(j) = 6*j**2 - 3*j. Let d(s) = l(s) + 6*q(s). What is the second derivative of d(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2*c. Let m(u) = -2*u**3 - 21*u**2 - 7*u + 12. Let h be m(-10). Let x be (6\/h)\/(2\/6). What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**10\/15120 - m**9\/7560 - m**8\/3360 + m**7\/1260 + m**4\/8 - m**2. Let w(y) be the second derivative of x(y). Solve w(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, 5, 4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632577 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from {m: 2, f: 7, i: 4}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 + 15*v + 44. Determine l(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358 divided by -5?\nAnswer: 2358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 4*w + 5. Let z(o) = -2 + 6 - 1 + 5*o + 1 - o**3 - 4*o**2. Let n be z(-5). Give p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 - 255083\nAnswer: -255176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117 times 95?\nAnswer: 11.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1780, -112, -2 in descending order.\nAnswer: 1780, 4, -2, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 477*n**2*x**5 + 240*n**2*x**3 - 704*n**2*x - 80*n - 2*x**2 wrt x?\nAnswer: 28620*n**2*x**2 + 1440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 49\/5 of a millennium?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-20)\/150 - 50\/(-125). Which is the nearest to 1\/4? (a) o (b) -1 (c) 8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 2429 = 1504 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0*q**2 - 1\/3*q**4 + 2\/3*q**3 + 0 + q. What is the second derivative of r(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3 + 3)*(-1367*u - 511*u - 372*u)*(-u - 2*u + u).\nAnswer: -9000*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 5, 1 in decreasing order.\nAnswer: 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 76\/5 of a hour?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 8*c**2 + c - 2. Let g be b(8). Find the common denominator of (-113)\/g - (-7 + 5) and ((-1)\/(-2))\/((-531)\/(-141) - 3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*p + 326, -3*q = 5*p + 172 + 78. Let v = 80 + q. Solve v = -a + 1, -2*a - 13 = 3*n - 6*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o - 1. Let l be y(1). Suppose 0 = g + 2*g - l. Suppose 0 = 5*t - 2*f - 61, f + 46 + 4 = 4*t. Calculate the remainder when t is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 79, 46, -23, -140, -317, -566?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2912, -1\/3, -4\/3 in decreasing order.\nAnswer: -1\/3, -4\/3, -2912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(45)\/sqrt(9)) - (0 + (sqrt(14)\/sqrt(2) + sqrt(7))**2).\nAnswer: -28 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k + 10. Let j be z(14). Let m = -63 + j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 38 = m, -m - 123 = -2*a - 89 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11489370 a multiple of 1042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361247788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -19\/8, 1\/8, 0.1, 62, 0.2, 1\/7?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 544 and 0.7542327?\nAnswer: 543.2457673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 189*l**2 + 180*l - 372.\nAnswer: 3*(l - 1)*(l + 2)*(l + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62485.35l to millilitres.\nAnswer: 62485350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 14554.353 minutes?\nAnswer: 242.57255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -44?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 3*f - 52*f)*(-1 + 1 - 2*f**2) - 2*f**3 + 0*f**2 + 0*f**2 + 4*f**3 - f**3 - 2*f**3 + (-2*f**2 + 3 - 3)*(2*f + 0*f - 4*f) + 2*f**3 - 3*f + 3*f.\nAnswer: 125*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, 7 in decreasing order.\nAnswer: 7, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30222.7 rounded to the nearest one hundred?\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from zggzzzii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13707 is divided by 2739?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301618234 and 692?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (2*sqrt(375) + sqrt(15))) + (sqrt(180)*2)\/sqrt(12))\/(4*(-1*sqrt(45) + -2*sqrt(605))).\nAnswer: 2*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 275934*r + 4415170. Calculate f(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274.03 + 276. Let w = i + -2.565. Round w to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 10:08 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m - 25*m + 49*m - 5*m - 13542*m**2. Let k(x) = x**2. Give k(z(u)).\nAnswer: 183385764*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*b + 5, -3*o = 2*o + b - 19. Suppose o*z + 5825 = -z. Let y = -18629\/16 - z. Calculate the common denominator of y and -1\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3 - 3. Suppose 2*t - 1 = g. Suppose 5*d = 4*b + 3*d - 14, 0 = -t*d - 6. Is 2 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 - -361\/3. Which is the nearest to -2\/5? (a) -1\/5 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjt. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -42, -72, -122, -198, -306?\n\"Answer: -o**3 - o**2 - 6*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*u = 0, 2*z - 4*u + u = 0. Suppose 0 = 4*o + 3*g - 128, 2*g = -2*g + 16. Suppose z = 2*t - 1 - o. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {u: 3, r: 5, x: 1, l: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 135621731?\nAnswer: 135621732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*h - 382 = 1724 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**2*z - c**2 + 15*c*z**2 - 6542*c - 7*z**2 - 15*z wrt z?\nAnswer: -2*c**2 + 30*c*z - 14*z - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/60 + o**3\/3 + o. Let q(v) be the second derivative of p(v). Determine q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3384*105\nAnswer: 355320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*q - 9465, 5*h = -6*q + q + 9420. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 4, 12, -108, 5\/2, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 10532024?\nAnswer: 10532051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u - 1046 = 2554. Let t be (1 + -17)*11\/(-4). Let q = t + u. Solve 0 + 12 = -q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5376 and 10392?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000247359226 to 7 decimal places.\nAnswer: -0.0002474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 + 2*t - 4. Let j(y) = -y**2 - 2*y + 4. Let x be j(-4). Let v(f) = -2*f - 5. Let d be v(x). Calculate s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 292677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3))**(1\/3))**(23\/4))**(29\/3) assuming o is positive.\nAnswer: o**(667\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9016.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13536*d**2*h*q - 2022*d**2*q**3 + 10*d**2 - 2*h*q**3 - 2*h*q**2 wrt h.\nAnswer: 13536*d**2*q - 2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 19, -4, 9 in descending order.\nAnswer: 19, 9, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/13217 - 568301\/198255. Find the common denominator of (-501)\/9*((10 - 3) + (-99)\/14) and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -26)*(-2 + (-22)\/(-10)). Which is the closest to 2? (a) 0 (b) q (c) 1\/6 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 3, -1, 0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 2, a: 5}. Give prob of picking 2 a.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -2*o, 4*u = -o - 1 - 6. Let n be (-1121)\/(-7847) - ((-1)\/6 + 879\/2331). Is n equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 46 = 5*q, 10*w + 3*q = 5*w - 98. Let k be (1\/(-2))\/(1\/1356). What is the units digit of k\/w + (-30)\/(-165)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/2, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 3*l + 5. Let o(y) = -8*y**2 - 10*y - 15. Let x(w) = 11*h(w) + 4*o(w). Let k be x(7). Is 3343 - (k - (4 - 9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.47 - -11.47. Which is the biggest value? (a) 1 (b) 2\/39 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*m + 13 = 3, 4*j + 8 = 4*m. Let s = -17 - -24. Solve x = q + 3, j*x = -x + 3*q + s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 847112957581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1452835*c**2 - 15580*c + 3116. Let y(h) = 2332*h**2 + 25*h - 5. Calculate 5*k(n) + 3116*y(n).\nAnswer: 2337*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*4 + -1*sqrt(170)*-4)\/(1*3*sqrt(40)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-54))\/(-17)*3*(-198)\/(-77)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 7 = 2*c. Let n be (6\/(-4))\/c - 90\/(-4). Find the second derivative of 0*k - 8*k - 19*k**2 + n*k**2 - 4*k wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*i*n**2*u**3 - 71*i*n*u + 2*i*u**2 + 2*n**2*u**3 + 9*n**2*u wrt u.\nAnswer: -204*i*n**2 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -448382*j**3 + 35*j*u + 104394*u + 74 wrt j?\nAnswer: -1345146*j**2 + 35*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 219370719 and 15.\nAnswer: 1096853595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1217377212?\nAnswer: 2, 3, 23, 4410787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/21398 and -11\/2639361?\nAnswer: 68623386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3765, -7541, -11317?\nAnswer: -15093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 11. Let m = -130 + 124. Let i be u(m). Suppose 4*z = 4*y, 5*z = i*y - y - 1. Which is greater: z or 2\/133?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441140.\nAnswer: 2, 5, 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98253830, 98253831, 98253832, 98253833, 98253834, 98253835?\n\"Answer: c + 98253829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.2042 years to decades.\nAnswer: 85.02042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -146903130 divided by 445161?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 9*w**2 - 16*w - 10. Does 18 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1192578 and 7950520?\nAnswer: 23851560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j - 2 = -5*w, 0 = 5*w + j - 12. Let y(c) = 15*c**2 + 0*c + 2*c + 0*c. Let t be y(w). What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2. Let r(m) = -m**2. Give -2*b(j) + 18*r(j).\nAnswer: -2*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.146440994 to 5 decimal places.\nAnswer: -0.14644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, 3\/5, 107782, 11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168044, -168041, -168038, -168035?\nAnswer: -168032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 121624.7\nAnswer: -121624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*l - 8, 4 = 3*z - 2*l + 4*l. Let g(c) = -163*c + 1299. Let f be g(8). Sort 10, z, f, -2.\nAnswer: f, -2, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 128ce3 + 166?\nAnswer: 128e59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-39)\/26 - -4)*(-280)\/25. Put -2\/11, -0.5, u, -1\/14 in descending order.\nAnswer: -1\/14, -2\/11, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 1585613392.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 263833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.06 - -3. Let h = g + 0.16. Let i = -12176.9 - -12177. What is the nearest to i in -4\/7, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2853, 2859, 2855, 2835, 2793, 2723, 2619?\n\"Answer: -r**3 + r**2 + 10*r + 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggknknknnvbkgnvnvnn. What is prob of picking 3 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 - 4*f. Let r(x) = 2*x**2 + x. Let l(t) = 3*k(t) + 8*r(t). Let y(i) = -i**2. What is y(l(q))?\nAnswer: -16*q**4 + 32*q**3 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -138*b**3 + 3*b**2 - 4*b - 61. Does 19 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 - 2*z**2 + 2*z**2)*(-606 + 606 - 8*z**2) to b + v*z**3 + a*z**4 + u*z**2 + j*z and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 289 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 52 = 2*l, l - 19 = 2*r. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 54*d**3 + 16*d**2 + 921*d - 2. Let x(n) = -20*n**3 - 6*n**2 - 307*n + 1. Calculate 3*p(o) + 8*x(o).\nAnswer: 2*o**3 + 307*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2. Let y(j) = -356*j. Give y(v(o)).\nAnswer: 1780*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2. Let c(h) = 209*h. Determine v(c(j)).\nAnswer: -131043*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(2 - (-106)\/(-52)). Let d = p + -2108\/9. Let x = 0.13 - -0.27. Which is the closest to 0.1? (a) x (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2533 + -2529. Let l(i) = -6*i + 15. What is l(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2392*f. Let j(g) = -17*g - 45. Let t(c) = -4*c - 10. Let d(q) = -2*j(q) + 9*t(q). Calculate x(d(r)).\nAnswer: -4784*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 1, t: 4}. What is prob of sequence ttt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -3\/2*r**2 + 0*r**3 + 0*r**4 + 0*r**5 + 2\/15*r**6 + 0 + 3*r. What is the derivative of p(f) wrt f?\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + q - 81, -5*u - 4*q + 14 + 90 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 - -14?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 249 = 230. Solve 21*r = m + 62 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/((-8)\/10). Let p = 12 + -11.9. Which is the closest to 0.1? (a) 1\/6 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 1. Let a be 265\/25 - 2\/(-5). Suppose -33 = -4*g - 13, 0 = 3*i + 4*g - a. Let f(u) = -2*u + 3. What is i*j(k) + f(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175461 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5 and -43787.\nAnswer: -43788.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 15 - 48 - -8 - -46\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i + f - 2, -8 = -4*f. Suppose i*r - r = -4. Suppose -3*m + t + 57 = 0, 3*m = -m - r*t + 92. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 8*v**2 + 5*v + 15. Let k be n(7). Let g be (1*(-2)\/4)\/k. Which is the closest to -0.1? (a) -3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 10, z: 4, u: 1, t: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 2.\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 13*y + 4. Let h be w(-9). Solve a - 15 = -2*n, -n - 4*a = 3*n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 28*w - 4. Let l be p(5). Let k = 198 - l. Let y = 417 + k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598 at least 2598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 38*a + 251. Give v(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*o. Let g = 22 + o. Suppose 5 = 3*v + 5*t - 15, -v - 4*t = -9. Solve v*q - 2*u = -g, -2*u - 15 = -7*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4889, -5009, -5129?\n\"Answer: -120*k - 4769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97)\/(-7) + (-1206)\/469*70\/15.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -33*t**2 + 11*t. Let a(x) = 17*x**2 + 0*x**2 + 401*x - 407*x. Give -11*a(c) - 6*r(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 6252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 18*z + 22*z - 5*z**2 - 79*z**3.\nAnswer: -79*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202 + 12049 = 180*v + 434*v - 64061 for v.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 46. Suppose -17*r + 15*r = -f. Let v = r - 13. What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 333*s - 1656. Calculate i(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round -239100 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a - 99 + 140 = 0. Is a equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -11 - (-4 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 + 6*i - 46. What is the remainder when c(-15) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2164, -2162, -2160, -2158?\nAnswer: -2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -135*l**6\/2 + 63*l**5 + 4135*l**4\/4 + 4145*l**3\/3 + 385*l**2 + 40*l - 160. Let o(z) = 0. What is z?\nAnswer: -2, -1, -1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -42*b**2 - 417*b + 26. Let i be q(-10). Let k(c) = c + 1. Let f(n) = 3*n + 2. Suppose l + 4*g - 17 = 0, 3*l + 5 + 4 = 3*g. Give i*k(z) + l*f(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/6 + 11*b**2\/2 + 3*b. Let a be f(9). Solve 9*r**3 - a*r**2 + 2*r - r**3 - 8*r**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36978550 + -36978515.103183. Let n = h + -34.9. What is n rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (95 - (25 + -26 + 19))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(0 + 6 - 4)*(-72*l + 16*l**2 + 72*l).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d + 8*d - 25*d + 879 + (0 + 4 - 2)*(-3*d + 0*d + 6*d).\nAnswer: 8*d + 879","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 8. Suppose -3*p + 4*b + 307 + 521 = 0, 0 = p + b - 269. Suppose 118 = 5*f - p. Calculate the highest common divisor of r and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 2*m + 217838 = -17*s, 0 = -3*s + 3*m + 217848. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1050 - -113044034?\nAnswer: 113045124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/22 and -53\/7678?\nAnswer: 7678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39004 less than -2243?\nAnswer: -41247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - d55961?\nAnswer: -d5596c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/24)\/((-1197)\/(-9576)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 8) to base 9.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27458 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, o: 8, n: 1}. What is prob of picking 1 y and 1 n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1. Let k(n) = -5*n. Let f(p) = d(p) - k(p). Suppose -9*i = 22 - 4. Let z be (85\/34)\/(1\/i). Give f(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -101 + 36 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377) + 0 - -4*(-1 + sqrt(1377)))**2.\nAnswer: -360*sqrt(17) + 34441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 1012*a - 26760.\nAnswer: -4*(a + 30)*(a + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 355853724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2 + 1\/6*n**3 - 1\/60*n**5 + 0*n**4 + 0*n - 1. Let z(m) be the second derivative of k(m). Factor z(b).\nAnswer: -(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y**2 + 12*y + 4*y**3 - 30*y + 5*y**3 + 18. Let c(j) = -j**3 - j**2 + j - 1. Give 18*c(a) + v(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, 3\/185, -4 in decreasing order.\nAnswer: 1\/4, 3\/185, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 8*p**2 + 53. Let v(q) = -4*q + 5. Let t(c) = -2*c + 2. Let h(z) = -10*t(z) + 4*v(z). Give x(h(g)).\nAnswer: 64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-97*16)\/((-15 + (-288)\/(-18))\/(-3)). Which is smaller: 4657 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7285, 29181, 65675, 116761, 182433, 262685?\n\"Answer: -m**3 + 7305*m**2 - 12*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccqc when four letters picked without replacement from cqccqiccciccqqqccq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 42 + -29 + -13 - 28.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r**5 + 2*r**3 - 13\/6*r**6 + 0*r - 37 + r**2 + 0*r**4. Find the third derivative of g(s) wrt s.\nAnswer: -780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010 times 0.4\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*b = -189*b + 613 + 6570 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6596240 (b) 7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5865.4, -2\/15, -1\/4 in increasing order.\nAnswer: -1\/4, -2\/15, 5865.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*l - 2*l - 9, k = 2*l + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10341 and 7479?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40589 - -40594. Solve 5*k + 0*a = 5*a + o, -a = 4*k - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 94*a**2 + 150*a - 85. What are the prime factors of h(-17)?\nAnswer: 3, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5380.418l to millilitres.\nAnswer: 5380418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s + s - 28 + 34 + 5*s wrt s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.41 to 1 dp.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -20. Suppose 96*o - 148 = 59*o. Solve -p*j - 7 = -o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1)\/(-1) + 1. Let o = -15 + 18. Find the first derivative of p**3 + o - r - 3 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t. Let q(k) = -7*k**2 + k**2 + k**2 + 6*k**2. Give q(h(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 + 10. Let g be (2\/(-14))\/((-5)\/175). Determine u(g).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3279*h - 110264 = 5785*h for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*h + 5 = 128*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 4*l. Let r = 5 + -1. Let d = 1 + 0. Which is the closest to l? (a) -2\/9 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*i - 820*i = 60059 + 59781 for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*g**3 - 44*g**3 - g**4)*(-11 + 0 - 11) - g**3 + g**3 - g**4.\nAnswer: 21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 22*y**2 - 22*y + 9. Let b be q(23). Suppose -37*j = -53*j + b. Solve 0 = -p - p - a - 10, 4*a + 22 = -j*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 0.2.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1732756.18 to the nearest one hundred.\nAnswer: 1732800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9) + -5 - (-1 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 10. Suppose 0 = -5*f - 5*s + 45, t = 5*f + s - 5*s. What is the third derivative of d**2 + 12*d**f + 0*d**2 + 3*d**2 - 11*d**5 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**7\/10 + 2*g**6\/5 - 17*g**5\/20 - 3*g**4\/4 + 3*g**2 + 8. Factor t(o).\nAnswer: 3*o*(o - 1)*(o + 3)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-19)\/m*m**(-3\/20))\/((m**16*m*m*m)\/m**23))**(-32) assuming m is positive.\nAnswer: m**(2424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -23\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17045 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 26*b + 157. Let v be i(32). Is -35 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 - 5*t + 14. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3 = 2*g + 1, 3*g = 5*y - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -155*q + 2322. Give y(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1970 + -1968. Solve -23 + 5 = 2*q - 5*c, -x*q - c + 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -40 (b) -5 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/2 + 103*y. Let n(h) = -5*h**2. Determine f(n(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -2)**2 + -2 - (1 + sqrt(1216) + -1 + sqrt(1216) + sqrt(1216) - sqrt(1216))) + -3.\nAnswer: -48*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(-682))\/(18\/(-33))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + 603\/(-18). Is 3 a factor of t\/(-5)*55\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 4 = 0. Suppose 0*i - u*i + 52 = 0. Let w = -90 + 92. Solve -3*m + 2 = -w*b - 5*m, 0 = -b + 2*m - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 26 = 2*w, -19 = -4*w + 3*v + 5. Suppose 16 = -0*c + 2*c + w*k, 0 = -c - 2*k + 8. What is the units digit of ((-4)\/(-3))\/(c\/156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {y: 2, m: 1, e: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 258. Let i = -85 - r. Put 3, -5, i in increasing order.\nAnswer: i, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {x: 9, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.01944505.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -9, -2, -2\/11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-8))\/(1\/4). Let u = -1 + 27. Let q = u - t. Let l(n) = n + 8. Let d(s) = 2*s + 15. Calculate q*l(c) - 6*d(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(-2\/19))**44 assuming i is positive.\nAnswer: i**(176\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1190 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 s, and 1 v when four letters picked without replacement from svscsqxsczxxzqc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5545684, 5545649, 5545614, 5545579?\n\"Answer: -35*c + 5545719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168463 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3809094*m**2 - 3*m + 23921413 wrt m.\nAnswer: -7618188*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 136 in increasing order.\nAnswer: -5, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*p**3 - 128*d + 3068180*p**3 + 60024*p**2 + 5*p wrt p.\nAnswer: -6*d + 18409080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-272)\/(-24) + (0 - -4)\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120432568 to the power of 1\/2, to the nearest integer?\nAnswer: 10974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828180879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + z + 3454 = 3468, -d - 9 = 4*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 46050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8241 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654726906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.2543317 minutes?\nAnswer: 0.037572195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2046402 and 622818.\nAnswer: 14324814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81) - 1*sqrt(81))\/(sqrt(54)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c - 14. Let g(r) = -5*r**3 - r**2 + r - 2. Let p be g(c). Suppose -2*f - 32 = -2*q + 6*q, 5*f + p = 2*q. Which is smaller: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0.15, -3\/5, -22.063?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*a**6 - 158*a**2?\nAnswer: 12720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let q = 9 + o. Sort 3, -4, q.\nAnswer: -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/70933?\nAnswer: 6\/70933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.926 - 0.074. Let t = -37.000000515 - u. What is t rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*n - 1643 = 0, 0 = -11*p + 13*p - 3*n + 1070. Let u = 1480 + p. List the prime factors of u.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 3, t: 1, p: 1}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 156844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 + (-1 - -7). Suppose w + y*a = 15, 3*w + a - 3 = -0*w. Solve w = n + 2 - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let m(r) = 99*r. Calculate m(p(j)).\nAnswer: 495*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 1 = 4*w - 41, g - 2*w = 3133 - 3191 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -1 (b) -3 (c) -0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opooapop. What is prob of sequence pp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/120 + 3*y**5\/20 - 5*y**4\/24 - 3*y**2. Let b be o(-7). Suppose 0 = -4*p + 3*p + b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, l: 2, h: 4}. What is prob of sequence hl?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - 8. Let x be (i\/(-6) + 1)*3. Suppose 5*f - f - x = 0. Solve 2*q = 5*o + 24, f*o = 3*q + 2*o - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**3 - 3*i**3 + 11*i**3 + 6*i**3 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -69 (b) 4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + s - 6 = 0, -3*l + 4*s + 13 = -7. What is the second derivative of 7*y + 15*y**l + 31*y**5 - 32*y**5 - 19*y**4 wrt y?\nAnswer: -20*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112123 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/33))**(7\/3) assuming p is positive.\nAnswer: p**(-14\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131)\/19650*-225*(2*-11)\/(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.184 + -0.084. Let d = 4 - c. Let a = 13\/24 + -41\/120. Put d, a, -0.5 in descending order.\nAnswer: a, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 9) to base 6.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -102, -85, -60, -27, 14, 63?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3063343 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8239 - -13613. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12676748 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, -4 in decreasing order.\nAnswer: 21, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 9) to base 5\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*h + 2*i, -4*h + 4*i = 2 + 2. Suppose -4*j + 1153 = y, -7*j = -6*j - h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 57, 2\/11, 0.5, -8\/17 in ascending order.\nAnswer: -8\/17, 2\/11, 0.5, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 3 - (1 + (4 - 3)). Let i(j) = -25*j**2 + 91*j - 33. Let d(u) = -6*u**2 + 23*u - 8. Let f(w) = v*d(w) + 2*i(w). Determine r so that f(r) = 0.\nAnswer: 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 26\/(-8))\/((-6)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -699*i + 704*i. Is i < -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = -5*r, -2*r + 71 - 45 = -3*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14784 - -2623. What is the highest common factor of 103 and i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (-4 - (8 - 24))) + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g + s - 5 = 0, 0 = 3*g + 4*s - 20. Suppose g = 2*k - 4 - 26. Let o be 96\/k*(-25)\/(-10). Solve 2*t + 2*t + o = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 210502910.\nAnswer: 210502909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/2)\/((-9)\/(-24)). Let m = 35 + q. Let f be 0 + (1 - 0 - -2). Solve -8*o + f*o = -m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 24*m + 69. Suppose 43*i - 114 = 49*i - 4*f, 2*f = -2*i - 48. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208655, 417402, 626121, 834800, 1043427, 1251990, 1460477, 1668876?\nAnswer: 1877175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11373720 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: -211 (base 10) to base 13\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63.3103, 3\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 44 - (-3 + -11 - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-18)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 2053, 3081, 4109, 5137?\nAnswer: 6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c + 3. Let t(g) = 327*g**3 - 9*g**2 + 9*g - 27. Calculate 9*k(q) + t(q).\nAnswer: 327*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -201, -1\/7, 2\/11, 1?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25491858 and 191394?\nAnswer: 9114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1830*a**2*x + 4673*a**2 + 4*a*x**4 - 2*a*x - 1 wrt x.\nAnswer: 1830*a**2 + 16*a*x**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -104\/11 + 86\/11*v**2 - 96\/11*v - 30\/11*v**4 + 2\/11*v**5 + 46\/11*v**3 = 0?\nAnswer: -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 91.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 474154 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 104 (b) -8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from {f: 6, k: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 733483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + g - 5*g + g**2 + 9*g - 2 + 2*g**3 - 3*g. Let i(k) = -4*k**3 - k**2 - 5*k + 5. Determine 5*a(y) + 3*i(y).\nAnswer: -2*y**3 + 2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24081? (a) -4 (b) 3\/7 (c) -6\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c**2. Let y(f) = 9*f**2 - 11*f + 11. Let h(l) = 5*l**2 - 6*l + 6. Let u(d) = 3*d - 16. Let j be u(9). Let b(t) = j*h(t) - 6*y(t). Give k(b(z)).\nAnswer: -29*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3324 and 4155?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 50319 + 4593. Does 78 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1415880544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from dwddedwcd.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 652870921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**3 - 51*j**2 - 11*j + 37. What is d(4)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868969 is divided by 168737?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 - 80*s - 27. Calculate i(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3438*k**4 - 302548*k**3 + 13400*k**2 + 1210192*k + 1408 = 0.\nAnswer: -88, -2, -2\/1719, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 12:16 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 349284 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 235611 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + (-55 + 129 - 138).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 1\/6 (c) 8787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/(f*(f*f\/f**(2\/95))\/f*f*f))\/f))\/f)**(-5\/7)*(f*f**(-37)\/f)\/(f**(-32\/5)\/f))**(2\/41) assuming f is positive.\nAnswer: f**(-42198\/27265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/9 + (-8)\/(-36). Let i(g) be the third derivative of g**4\/24 - 639*g**2 - 1. What is i(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28306 is divided by 981?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 24. Let p(m) = -4459*m - 6. Let v(f) = 4460*f + 6. Let u(l) = q*v(l) + 2*p(l). Let g be u(-13). What is g rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/4 - 157*x\/4 - 39 = 0.\nAnswer: -12, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8466256 centimeters in meters?\nAnswer: 0.008466256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -118. Calculate the greatest common divisor of q and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 + 6*y + 281. What is the hundreds digit of f(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. Let m = 11 + h. What is the least common multiple of 8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6138 and 4716756.\nAnswer: 146219436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3353\nAnswer: 5\/3353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m**(-13)\/m)\/m))\/m)*(m*m*m**(1\/4)*m*m)\/m)**(-7\/3)*(m**0*m*m*m**(-7))**(-34) assuming m is positive.\nAnswer: m**(2341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*d - 361*d**2 - 2 - 157*d**2 - 253*d + 2640*d**2 + 1 to the form x*d + a + w*d**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 - 6*m**2 + 5*m**2 + 4*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.08, 1, 4, 8.1 in descending order.\nAnswer: 8.1, 4, 1, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115332329 to the power of 1\/2, to the nearest integer?\nAnswer: 10739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 496641326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.19 - -28.69. Which is the nearest to 4\/3? (a) -0.1 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 6*v - v)*(-302*v**3 + 87*v**3 - 30*v - 31*v + 61*v - 557*v**3).\nAnswer: -6176*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 1. Let h be s(5). Let f(n) = -52*n + 32*n + 10 + 31*n + n**2. Is f(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7669 is divided by 285.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1177, -4, 2 in decreasing order.\nAnswer: 1177, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 23*d - 26*d - 30 = 0, 4*j = 3*d + 44. Let c(q) = q**3 - 2*q**2 + 51*q - 49. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*m + 9, -40 + 55 = -2*m + 3*z. Let r = 4 + -6. What is the nearest to 0 in r, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36158977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*q = -5*y + 10, 0 = -2*y + q - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 35. Suppose x = m + m. Is m less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219265\/687687 - 65\/2519. Let t = -2\/273 + u. Let m be 12\/2*1\/8. Which is the closest to -0.1? (a) 1\/4 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134831.\nAnswer: 73, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*p*r - 145*i*p - 5*i*r - 24*i - 4*p*r + 12 with respect to p.\nAnswer: -i*r - 145*i - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((128\/14)\/((-192)\/(-672)))\/(4\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27413679.\nAnswer: 3, 9137893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/280 and 101\/6.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2984 + -3?\nAnswer: 2981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41657 divided by -7\nAnswer: -5951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.3, -1.4, 3 in decreasing order.\nAnswer: 3, 2\/13, -0.3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -145\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 2506.\nAnswer: 12530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2492, -2495, -2524, -2597, -2732?\n\"Answer: -3*p**3 + 5*p**2 + 3*p - 2497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18926 = 1084*a - 74298 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:15 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1343 + -10?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1872 divided by 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:05 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 + 170. Let w = x - 68. What are the prime factors of (3\/4*2)\/(w\/(-78))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/29 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -20*m + 14. Let g(z) = 8*z - 4. Let b(l) = l + 1. Let k(i) = b(i) - g(i). Suppose -2 - 8 = 2*y. Calculate y*d(j) + 14*k(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2 = 26, -9 = -5*i - 4*x. Let v be (-6)\/4*(-64)\/6. Sort i, -1, v.\nAnswer: -1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 176736 = -45*f + 64*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11865434 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 33*p**3 + 2*p + 1. What is i(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.558965g in milligrams?\nAnswer: 2558.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 1295*c**2 - 49075*c + 4902215.\nAnswer: -5*(c - 43)*(c + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*13\/208*11\/3?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-3 - -3 - -1). Suppose -4 = 3*g - 19. Put 7, x, g in descending order.\nAnswer: 7, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -1\/3, 1\/6, 0.1, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -2605, -3888, -5171?\nAnswer: -6454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*i - 1 - 4, 0 = h - 3*i + 3. Suppose h = 2*m - p - 5, -4*m + 14 = -5*p + 1. Factor -4 - 2*y**m + 7*y + 0*y - y.\nAnswer: -2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - n - 2*n + 2*n + 97 in the form t*n + x and give x.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 249*p**2 - 1219*p + 246. Give s(-244).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:59 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-549)\/244)\/((-2)\/(-8)*-1). Suppose 0 = 5*f - 10*w + 9*w - 3, -4*f - v = 3*w. Solve u + 3*t = -u + 17, f = 4*u - t + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v - 2*v**2 + 3*v**2 + 4 - 5*v**2. Let d be b(4). Solve 3*k + d = 4*y, 0*y - 3*k = 2*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4764*i**2 + 9 - 4767*i**2 - 9.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -29*a + 35. Determine h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1294357 kilometers to micrometers.\nAnswer: 129435700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 199 + 6*w - 12*w**3 - 3*w - 8*w**3 + 21*w**3 + 2*w + 206. Let q be 9*-1 + (0 - -1). What is t(q)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - -9) + 3 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*m = 500, -4*o + 432 = 2*m - 56. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r. Let a(z) = -2*z. Let n(j) = 5*a(j) - 4*s(j). Let m = 67 - 61. Let i(g) = m*g**2 + 3*g**2 + 7*g**2 - 22*g**2. Give i(n(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87877006.\nAnswer: 2, 7, 137, 45817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121001102112 (base 3) in base 10?\nAnswer: -847409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 334 or 333?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 20 + 4. Sort -2, -5, n.\nAnswer: -5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-153)\/(-5) - 14\/(-35) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 15 = 3*m + 1, 15 = 3*m + 3*o. Solve 7 = -m*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78978 (base 11) to base 16.\nAnswer: -1be85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48756 and 39196?\nAnswer: 1998996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 5)\/(-3)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/22316 and -101\/12.\nAnswer: 66948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2. Let z(k) = 65*k**2. Let d(r) = 45*x(r) + 2*z(r). Suppose 14*a + 32 = 18*a. Let q(g) = -a*g + 5*g - 2*g. What is d(q(i))?\nAnswer: -125*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-35)\/(-735)*21)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, 4, -272, 3731 in ascending order.\nAnswer: -272, -4, 1, 3, 4, 3731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 941829\/105 + (-2)\/(-10). Suppose -27*x = 3*x - z. What is the highest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1369\/123 - -60\/41. Let g = t - -10. What is the nearest to g in -3\/7, 5, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3454 + -6?\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + 19.35. Let r = 8316.2 + -8316. Which is the fourth biggest value? (a) r (b) -5 (c) 3\/4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5506 + 45494. Let x be 20\/(-2 - -3)*r. What is x rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*h**2 - 557 + 557)*(2 + 92*h**3 + 0*h - 94*h**3 - 2*h).\nAnswer: -60*h**5 - 60*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p - 84. Let n be v(7). Solve -44 = 11*f - n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5320872023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 81. Let s = 30.9 + q. Let d = 0.1 - 0. What is the nearest to d in -3, s, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*45\/75.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -0.2, -4.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -16 + 0*j**3 + 3*j**4 - 13\/2*j**2 + 0*j. Find the second derivative of a(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2, -4*d - 697 = 4*l - 3197. List the prime factors of d.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23862415 - -3?\nAnswer: -23862412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22*c - 3. Let w(j) = -26*j + 5. Let y(h) = -6*t(h) - 5*w(h). Let n(p) = -2*p. Determine n(y(r)).\nAnswer: 4*r + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41646913669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132348492*x**4 + 2381276556*x**3 - 10702296327*x**2 - 80666550*x - 151875 = 0. Calculate x.\nAnswer: -25\/6642, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*h + 33. Is 2\/h*(2 + 88) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2118999 and 2601.\nAnswer: 108068949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 194. Let q be r*124\/64*(4 + 0). Solve -s - 4*w = -1, -5*w - q = -5*s - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 25 = -3*x. Let k = 74 + -46. Let z = k + -24. Calculate the greatest common divisor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -108, 4 in descending order.\nAnswer: 4, 2, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2955 and 16.95?\nAnswer: 50087.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 + 138*c**2 - 172*c**2.\nAnswer: -95*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 156 (b) -0.4 (c) 1\/5 (d) -1\/4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/792 and -95\/45848?\nAnswer: 412632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2556144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)*r)\/r**(-10)*(r*r**(-1)*r)**(-6\/11) assuming r is positive.\nAnswer: r**(471\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1714 by 5.\nAnswer: -1714\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 87915.\nAnswer: -87924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0584330167 to six decimal places.\nAnswer: 0.058433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 90, 220, 416, 684?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.109255 to 2 decimal places.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t + 66*t + 84*t - 37 + 66*t - 314*t.\nAnswer: -31*t - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5 + p + 23 + 2*p + 3*p. What are the prime factors of r(14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 33. Let a be ((-4)\/72)\/(2\/(-4)). Is a > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2 + (-17)\/(49725\/25710). Let l = z - -116\/13. What is the nearest to -2 in 5, l, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s**(-4)*s))*(s\/(s*(s*s**(-5))\/s*s*s*s))\/s*s*(s**(-2\/7))**(-11\/5)*(s**(-4\/3)*(s\/(s\/s**10)*s)\/s)**(3\/4) assuming s is positive.\nAnswer: s**(499\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8946 divided by -6\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*j - 2*o + 4*o, 4*j + o = -27 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r + 9*r**3 - 3 - 5*r + 3*r**2 - 8*r**3. Let p(v) = -v**3 - 11*v**2 - 10*v - 4. Let a be p(-10). Determine k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 196.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -44*h**3 + 2*h**2 - 1. Let v be s(-1). Let u be (-10)\/v + (-16)\/9. Calculate the least common multiple of 2 and -1 + -1 - (-20 + u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) -4 (c) 240 (d) -494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from papap?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -9 - 2)*-1. Let m be 3*(-3)\/j*1. Let u(v) = -32*v - 2753. Let z be u(-86). Put m, -5, z, 2 in descending order.\nAnswer: 2, m, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 a factor of 356446173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 21 = -3*i + 5*l, -23 = -4*i - 3*l. Solve 4*t + i*s - s = 0, 5 = -t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 1. Let w = 12 + u. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 5*p + 8. Let c(b) = b**2 + 2*b + 1. Let s be c(-3). Suppose 5*d - 6 = s*d. What is v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y - 50*y + 94*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:22 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.527 and 1.3.\nAnswer: 0.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/104629920 and -109\/320.\nAnswer: 209259840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 833?\nAnswer: 833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**2 - 2*d - 38. Calculate the least common multiple of 33 and v(7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*a = 222792, -350*k = -353*k + 4*a + 668341. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28798245.\nAnswer: 3, 5, 7, 91423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 4. Let h be p(5). Let m be (-10*h)\/1 + 2. What is the units digit of (m\/10)\/(8\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1542 and 13\/1384716.\nAnswer: 1384716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 1. Let q = o - -72. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -19443\nAnswer: -16\/19443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5776966.04955338 - -5776966. Let j = g - 8.85059762. Let n = 8.9 + j. Round n to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 6*u**2 - 3*u + 7. Let f be b(-5). Let v be 3\/6 - f\/(-2). Is v < -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + 2 + sqrt(1700))*2 + sqrt(1700))**2 - sqrt(1700)) + (2 + sqrt(1700) + -4)**2.\nAnswer: 350*sqrt(17) + 44220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 10. Let u(d) = d**2 + 1. Let v = 11 - 17. Let c(m) = v*u(m) - p(m). Solve c(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 372 - 122 - 126 + 323*f**2.\nAnswer: 323*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013825015 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326\/(-3927) + (-6)\/(-14)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 30 = -5*f, -459*f - t - 2 = -456*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 6, q: 1, v: 3}. What is prob of picking 3 v?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 2*o**2 - o + 3. Let u(c) = c**2 - c. Determine l(v) - 3*u(v).\nAnswer: -2*v**3 - v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 2*n - a, 3*n = -3*a - 18. Let f(o) = -o**2 - 10*o + 11. Let r be f(n). Suppose 4*x + 0*v - v - 191 = 0, -x - 4*v = -r. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 123311.9um?\nAnswer: 123311900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-1071)*-51*(-21056)\/192?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/9 - 4796*r**3\/3 - 52083502*r**2\/9 - 791018668*r\/3 - 27202894489\/9 = 0 for r.\nAnswer: -7171, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 75 - 4*l**4 + 2*l**2 - 74 + 31*l**3 in the form v*l**4 + w*l + z*l**3 + k*l**2 + q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122338582 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490208101*i**6 + 30*i**2 + 39704.\nAnswer: 58824972120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = p, 2*p = -4*g + 3*g + 2. What is the units digit of (-1 - -2)\/(1\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-741) - (-35)\/52)\/(51\/(-8)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.9789ml in litres?\nAnswer: 0.3589789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - b)*(2*b - b - 2*b) + (b + 2 - 2)*(-b - 8*b - 10*b).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -91, -5, -4, 430, 3 in decreasing order.\nAnswer: 430, 3, 1, -4, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*w - 2 + 19, -4*h + w + 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301 or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 30 = 0. Let z(j) = -2*j**2 + 12*j - 2. Let f(h) = -h**2 + 6*h - 1. Let n(p) = g*z(p) + 13*f(p). Is n(5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*40\/(16\/(-4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 0.14 (c) 0.06 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**2\/2 - 1712. Let f(g) = 16*g. What is f(d) - 6*n(d)?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 382450588 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r + 2*r - 3*r. Let n(y) be the second derivative of -y**6\/180 + y**4\/6 + y. Let f(x) be the third derivative of n(x). What is p(f(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 26*s**2 + 4*s + 11. Let n(t) = 7*t**3 + 54*t**2 - 9*t - 21. Let i(f) = 4*n(f) + 9*u(f). What is i(18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(1242\/63))\/(10\/6)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/31492752 and 55\/3236?\nAnswer: 31492752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g**3 + 4*g**2 + 4. Let u be 123\/82*(-330)\/(-9). Let f(a) = 405*a**3 - 55*a**2 - 55. What is u*b(h) + 4*f(h)?\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962281455.\nAnswer: 3, 5, 1429, 44893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**38\/((t**(-6\/17)*t)\/t*t))\/((((t*t\/t**(1\/27)*t)\/t*t)\/t)\/t**(3\/8)) assuming t is positive.\nAnswer: t**(131329\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3, 3*u - 4*c + 4 = 25. Suppose -u*l = -9, -10 = 5*k - 10*l + 5*l. Suppose 0 = -4*h - 4*h + 24. Calculate the least common multiple of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 58971, 7 in increasing order.\nAnswer: -2\/5, 7, 58971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 17 = 5*i, 4852*w - 4*i = 4850*w - 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 57 - 23. Does 2 divide (-1)\/((-5)\/j) - -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in -2, -0.4, 42, 1\/5, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6567?\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 0.3, 17, -4 in increasing order.\nAnswer: -14\/3, -4, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 7*v - 7. Suppose 0 = 3*i - 4*n - 27, -n = 2*i - 4*i + 13. Let c(w) = -1946*w**2 + 1948*w**2 - 8*w + 5 + 3*w. Calculate i*q(r) + 7*c(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -113\/48, -27484 in increasing order.\nAnswer: -27484, -113\/48, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282363 divided by 3.\nAnswer: 94121","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 4461291142.\nAnswer: 4461291141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 4*h**2 - h**2)*(2*h - 6*h + 2*h + (30*h - 2*h - 119*h)*(10 - 11 + 19)).\nAnswer: 1640*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1125574 divided by 2.\nAnswer: -562787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432984 and 7854.\nAnswer: 566776056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 5*x = -120, 5*c = -4*x + 141. What is l in -16*l**3 + 6 + 7*l**4 - 9*l - 12*l**2 + c*l - l**4 = 0?\nAnswer: -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.4 + -31.4. What is the closest to -1 in -3.6, -1\/3, -5, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 + 9. Let p(w) = -w**2. Calculate -d(y) + 3*p(y).\nAnswer: 5*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-2 - (47 - (43 - 22))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by 396?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 30*o**3 - o**2 + 28. Let q be c(0). Solve q*g = 19*g + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*f**2 + 709*f - 351*f - 29 - 358*f - 7*f**2 in the form s + q*f + n*f**2 and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*p + 97 = 197*p + 2*c, -89 = -p + 2*c. What is the greatest common divisor of 1829 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x - 6. Let s be a(3). Let y be ((-10)\/(-8))\/((-3)\/s). Suppose -4*r - 5*n - 1 = -6, -2*n = 2*r - 2. Put y, 1, r in decreasing order.\nAnswer: 1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/4 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.037 and -3.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 41*s - 32497. What is t(159)?\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let i = -2 - m. Suppose 4*d - 89 - 99 = i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 3 - 4*y**3 + 2 + 5*y**2 + 0*y**3 + 3*y. Let p(v) = 4*v**3 - 4*v**2 - 4*v - 4. What is 4*o(a) + 5*p(a)?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 7*x + 0*x**3 - 4*x**3 - 3*x**2 - x**2 to d*x**3 + p*x + c + l*x**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**2 - 5*d**2 + 101*d**3 - 4 + 8 + d**2 wrt d?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78.06 - 82. Let v = -4.34 - b. What is the closest to -0.2 in 3, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12543 and 2.6?\nAnswer: -0.326118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306, -307, -308, -309, -310?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/24 + 2*k**3\/3 + k**2. Let w be u(0). Solve 12 + 4 = w*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 46 - 3*l + 9 + 19. Determine h(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 2*f - f**3 - 2*f**2 + f - 1 - 2*f**3. Suppose d - 7 = x, d + 4*x + 13 = x. What is g(d)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -74. Let g = -99\/5 + s. What is the second biggest value in -4, g, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4414.00002147 + 4414. What is z rounded to seven dps?\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0834 * 2.3\nAnswer: 0.19182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 21479.\nAnswer: 21478.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 79*q - 10. Let n be c(26). Suppose -12*u = -4*u - n. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-37)\/((g\/(g**(-1)\/g*g))\/((g**(-4)\/g)\/g)) assuming g is positive.\nAnswer: g**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -9. Let w(z) = g*z + 10 - 10. Let h(p) = -p. Let l(q) = 4*q. Let o(s) = 3*h(s) + l(s). Calculate w(o(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44742?\nAnswer: 2, 3, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -267. Let m = -64 + o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-22)\/(-2) + -3 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/45)\/((-4)\/((-24)\/(-2)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46315764 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-6 - (sqrt(63)*-3)\/sqrt(9)) + (((sqrt(280) + sqrt(280) + sqrt(280) + sqrt(280)*-1 + sqrt(280))\/sqrt(10))\/sqrt(4) + 0)**2.\nAnswer: -15*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - -11. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {m: 1, p: 2, h: 3, q: 2, k: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337353 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33043, -33053, -33075, -33115, -33179?\n\"Answer: -o**3 - 3*o - 33039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (6*((sqrt(117) - sqrt(117)*2*2) + (sqrt(117) - (-3*(sqrt(117) + -1 - sqrt(117)) + sqrt(117) + sqrt(117)))))**2.\nAnswer: 2592*sqrt(13) + 67721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145339097 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247*i**3 + 37*i**2 + 833*i - 11.\nAnswer: 1482*i + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2589317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16417.5 - 16417.4. Let r = -1.23 + 8.13. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -10. Let m be ((-18)\/p - -2) + (-42)\/10. Calculate the remainder when (-266)\/m + 3\/(-2) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35606 divided by 3.\nAnswer: 35606\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 9*u + 4. Let i be -3 + 0 + 2 - -8. Let n be k(i). Suppose 0 = -0*m - 8*m + 216. Calculate the greatest common divisor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 2426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let a = m - -7. Suppose -4*q - 50 = -5*t, a*t + 29 - 78 = 5*q. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149d1 (base 16) in base 8?\nAnswer: -244721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 4*c = -19*x + 70369, x + 3*c = 23465. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*x = -29 + 185, 4*x + 312 = -4*o. Let f be -1 + ((-5520)\/(-35))\/2. Let r = f + o. Is -1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -q, 4*j - 3*q + 0 = -30. Let p = 2 + j. Which is greater: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.8 + 17.8. Let i = h + -9.7. What is the biggest value in -5, 0, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3690 + -3718. Put a, 20, -5, -2 in descending order.\nAnswer: 20, -2, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -4*v - 954. Let w = -62 - v. Calculate the highest common divisor of 235 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4.195 and -3926 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 22 - 21 + 67 + 4*w - 2*w. Give c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727650910 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2138852?\nAnswer: -10694260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693015 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*w + 616*w + 308*w)*(3*w**2 - 6*w**2 - w**2).\nAnswer: -3884*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(25)\/sqrt(5)))**2*-3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23494870 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 51\/4 (b) 2 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/21 + (2 - (-12)\/(-7)). Suppose 294003 = -u + l, -2*l + f*l = -5*u - 1470006. What is u rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1921326428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*w - 13 = -774*w + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = 38*n - 12. Solve -2*c - 10 = -4*p, 3*p - n = -c + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 7*i\/2 - 30.\nAnswer: (i - 12)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and (1*-1)\/((-3)\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 36*q - 1. Let h be x(1). Suppose 5*b - h = 45. Solve 3*s - 1 = s + 3*z, 5*s = 3*z + b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(15) - (sqrt(15) + sqrt(240)*-1)))\/(2*(sqrt(5)*2 + sqrt(5))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1872019 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 29*k - 50. Let d be p(27). Suppose 5*o = 4*h + 1, -2*h - 5*o = -d*h - 3. Solve 0 = -2*w, 4*r + 7 + h = -w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m - 83. Let y be b(-29). Suppose 0 = -y*x - p + 14, -p + 2 = 2*x - 3*p. Factor 0*a - 1\/4*a**x + 0 + 1\/2*a**2.\nAnswer: -a**2*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 1. Let y be f(2). What is the nearest to 1\/3 in 1, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31058 + 62043 - 30985 + 17*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.57 (b) 1\/11 (c) 0.1 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 5*h**4 - h**4 + (2 - h - 2)*(-h + 2*h**3 + h) - 5*h + 5*h + 25*h**4.\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 1, 6, 98 in increasing order.\nAnswer: -14, -5, 1, 6, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-3)*(3 - 6). Suppose -3*a + h*u + 0*u + 62 = 0, 0 = 3*u - 6. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwlwle. Give prob of sequence we.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327784851 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: Suppose -78267 = 2*g + 169209. Let q = g - 126262. Round q to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*v + 64, -s = -4*v - 3*s + 116. Suppose -4*f = -f - 9. Suppose 2*z + f*z - v = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3885?\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -63?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-3\/8))\/w*w\/(w**(-10\/3)*w))**(1\/2))**(-48) assuming w is positive.\nAnswer: w**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*u + 297, 0 = 2*l + 4*u + 28 + 114. Let k = -113 - l. Let t = k + 49. Solve w - 3*c = -8*c + t, -3*c = -3*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*h - 12, -4*q - 18 = -67*h + 66*h. Sort q, -1, 5 in descending order.\nAnswer: 5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18234*0.07\nAnswer: -1276.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13477 + 0.13477. Let g = 3.3 + -0.8. What is the nearest to v in 0.2, -2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076 less than 2077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148512, 148553, 148598, 148647, 148700?\n\"Answer: 2*p**2 + 35*p + 148475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7325 and -63\/19045?\nAnswer: 95225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2*w - 6*w + (3*w - 7*w + 6*w)*(1 + 5 + 2))*(5*w**3 - 5*w**3 + 2*w**3) as b*w**4 + s*w + t*w**2 + a + i*w**3 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 1, h: 3, d: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -4 in descending order.\nAnswer: 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-70))\/((-7)\/35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004758162 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:42 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-seven quarters of a meter?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*z + 13268 = -13833, 3*s - 27121 = 5*z. What are the prime factors of s?\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/9 + 28732*v**3\/9 - 57484*v**2\/9 - 28732*v\/9 + 19160\/3 = 0 for v.\nAnswer: -7185, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 28*v = 20*f - 140, 2*v - 7*v = 4*f - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - -2 - (-61)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, n: 13}. What is prob of sequence pn?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**2 + 4*o + 4. Let x be r(4). Let j = x - -109. Calculate the greatest common divisor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 14*s. Let j(m) = -m. Give 2*j(n) - z(n).\nAnswer: 2*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131698, 131678, 131658, 131638, 131618, 131598?\n\"Answer: -20*x + 131718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3 + p**3 + 0*p + 0 + p + 5*p**2. What is the remainder when 46 is divided by l(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2250.9 - 2391. Let u = 196 + m. Let t = 56 - u. Which is the third smallest value? (a) t (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 49*d**2 + 27. Is g(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*c + 6. Let y(n) = -n**3 + 7*n**2 - n - 7. Is y(c) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/6 - 1064*s. Let u(j) = -6*j**3 + 5*j**2 - 5*j. Give -5*n(a) + u(a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3520368 is divided by 3520287?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108254 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 229. Let m(p) = -91883*p. Determine m(z(d)).\nAnswer: -183766*d**2 - 21041207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)\/(g**(3\/7)\/g*g)*(g**(-1))**(39\/7) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*h = 30, -3*h - 44 + 2 = -3*y. Sort -4, y, -5 in decreasing order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*i - 96*i - 90 - 15. Solve -i*z - 8*u = -7*u - 6, 4 = 4*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, 5*z = -5*b + 92 - 22. Calculate the highest common divisor of 144 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:12 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 87 (b) 0.3 (c) 3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 10\/63 (c) -0.4 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2897*t**4 - 438618 + 219717 + 222266 with respect to t.\nAnswer: 11588*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**3*p**2 + 10*h**3*u - 48086*h**2*u + 63*h*p**2 + 2*h*p - 2*h*u + 62*h - p**2 - 2*p - 25*u wrt h.\nAnswer: 48*h*p**2 + 60*h*u - 96172*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 363.588 to the nearest integer.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 2*l. Determine t(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 0 - 58\/18. Sort y, 4\/3, -2\/11 in ascending order.\nAnswer: y, -2\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574050739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108924586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -17. Which is greater: n or 6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**4\/8 + g**2. Let o(v) be the second derivative of v**3\/6 - 4*v. What is o(b(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-45) - 9601\/(-20). Let c = 473 - b. Calculate the common denominator of c and 16\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 847, 1305, 1763?\n\"Answer: 458*f + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 8*k**2 + 8*k - 12. Let i be l(7). Suppose 3*y = -54 + i. Calculate the remainder when 50 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1*984\/7)\/(44\/308)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 155*i - 130. Let j be d(40). Let b(p) = -4*p**3 - p**2 + 4*p. Let s be b(-3). Suppose -j - s = -h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/8 (b) 2\/3 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 42*i**2 - 42*i + 40. Calculate l(41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 28. Determine f(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1413*q - 8401?\nAnswer: -1413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30304529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Does 21 divide 26 + (t + 1)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229505, 229595, 229685, 229775, 229865?\nAnswer: 229955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -45651\/124 <= -368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((0 + -28836)\/4)\/(-2*(-6)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 12*k - 140. What are the prime factors of c(18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 84 = -9*y - 3*c + 55, 2*y = -0*c - 2*c - 30 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Suppose -2*n = n - 6. Suppose 0 = a + n*a - 12. Solve -r + 9 = -a*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r - 28 = -88*r + 36. Solve 0 = 3*m - 5*i + 30, r*m - 5*i + i = -32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -146. Let m = 0.463 + 116.985. Let y = v + m. What is y rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1050\/231*(-24)\/(-60)?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120111 (base 3) to base 10.\nAnswer: 6250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*m**3 - 92*m**3 - 97*m**3 - 117*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 678? (a) -477 (b) 86 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 3*q - 5*m, -q = 3*m - 22. Suppose 0 = 3*h - 4*b - 46, 18*h - 15*h + 5*b = q. What is the least common multiple of h and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 485265604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.11 (b) 0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 9:02 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 185?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 5*g - 2. Let v(p) = -p**3 + 6*p**2 + 4*p + 10. Let r be v(7). Let q be 6 + -3 + (r - -5). Determine z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*p - 7 - 18, 3*p = -15. Let d be (-5)\/((-6)\/l - 1). Calculate the greatest common divisor of d and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10458613.\nAnswer: 11, 950783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 10. Solve -2 + 2*a**h + 4*a**2 + 0*a**2 - 4*a**2 = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**4 - 9*o**2 + 5*o**2 + o**4)*(-1 + 1 - 3)*(47 - 63 - 66) in the form y*o**4 + l*o + g + k*o**2 + a*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -28*l + 537. Give m(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-497553)\/(-172)))\/((80\/(-168))\/5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -282466326885 and -5.\nAnswer: -282466326890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 + 3*h - 1. Let n be r(1). Let b = 18 - n. Calculate the remainder when 94 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64847 and 133.\nAnswer: 453929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 20*b - 20. Let i be p(-8). Let c = i + 435. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -22\/3. Let m = -1.8 + 2. Which is the biggest value? (a) -1 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -5 + 5 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1104109*c. Let f(m) = 24*m**2 - 8*m. Give z(f(p)).\nAnswer: 26498616*p**2 - 8832872*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 5*w - 1. Suppose i + 8 = 3. Let m = i - -12. Is a(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75218.\nAnswer: 2, 11, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b**3 + 0*b**3)*(b**2 - 3*b**2 + b**2) + (-4*b - 4*b + 10*b + (0*b + 2*b + 0*b)*(-2 + 0 - 1))*(-2*b**4 + 0 + 0).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + n - 2. Let v(c) = -45 + 87 - 42 + 10*c. Calculate the remainder when 68 is divided by v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1) + (-588998)\/1. Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q - 38 = 47*q. Suppose 5*c - 2*w - 8 = 0, 4*w - 2 = -q*c + 6. What is the fourth smallest value in 0, -0.15, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36143*i**2 - 26*i**3 - 1905044*i**2 + 28*i**3.\nAnswer: 2*i**3 - 1868901*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -146. What is the nearest to -1\/4 in j, 1\/10, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -52. Let a = 66 - 62. Solve 6*p - 3*u = 3*p, -2*p + a = j*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {j: 3, i: 3, a: 2, c: 1, u: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 15069995.7304.\nAnswer: 15069995.5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 35 = 19*u. Solve -u*z = -2*g + 25, -2*g + 3*z - 5 = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/20259 - -55285\/89382708. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/sqrt(360))\/(sqrt(250)*3 - sqrt(10)).\nAnswer: sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*j = 15, 3*f - 7 = -3*j + j. Suppose -57 + 9 = -3*d. Suppose -4*g + 16 = -d. What is the remainder when g is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 52922041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8768 (base 11) to base 4.\nAnswer: 2310301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/7 + 997*a**3\/7 + 4960*a**2\/7.\nAnswer: a**2*(a + 5)*(a + 992)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/(-10)*20\/25. Let n(q) = 2*q**2 + q + 1. Let u(a) be the first derivative of 10*a**3\/3 + 3*a**2 + 6*a + 3. Calculate h*u(w) - 11*n(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -901998 take away 14?\nAnswer: -902012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(551 + 2*f - 1119 + 546) to y*f + l and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11354 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 155*z**2\/4 + 79*z\/2 - 78.\nAnswer: -(z - 156)*(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-35))\/(((-2)\/6)\/((-285)\/(-27)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*i - 235*i + 880*i - 231*i - 174*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 9. Let a be h(-7). Suppose 5*k = -4*p + 29, 4*k + 9 - 1 = 2*p. Let s(b) = -b - 6. Let z(j) = j + 7. Let n(d) = p*s(d) + 5*z(d). What is n(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10857\/18 + 13\/(9 + -87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -538 + 537.8. Put 18, a, 7, -2 in increasing order.\nAnswer: -2, a, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -4277*c + 4264*c + 231 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (905*f**2 + 599*f**2 + 3133*f**2 - 515*f**2)*(-6*f**2 + 5*f**2 + 13*f**2) in the form s + v*f + y*f**4 + n*f**2 + z*f**3 and give y.\nAnswer: 49464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 2. Let f(j) = -9*j + 1 + j + 7*j. Determine -5*f(b) - 2*m(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432876 is divided by 17315.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*3*(sqrt(1620) - sqrt(5)))**2.\nAnswer: -1020*sqrt(5) + 325129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.1, -1\/98, -1\/506?\nAnswer: -1\/506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2*z**2 - 10138148*w**2*z - w*z**2 + 4*w*z + 3*w + 30293*z**2 - 2 wrt w?\nAnswer: 4*z**2 - 20276296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5 - -12) + 64 + 1 - 104\/(-26)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43797*k + 83747*k - 45337*k.\nAnswer: -5387*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**3 - 54*w**2 - 2*w + 317?\nAnswer: -12*w - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 16, 180, -0.1, 30, 1\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1936416237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*s + 4*i - 8, 4*s - 4 = -4*i. Let j(h) = -4 + h**s + 4. Let d(c) = -1. Let m(l) = 3*l - 5. Let g(b) = 5*d(b) - m(b). Calculate j(g(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47358 (base 14) to base 16.\nAnswer: 2a5e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 7548535\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.89 + 0.11. Let d = x + -5.1. Let h = d + -2.9. Which is the third smallest value? (a) -1\/4 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -421, -955, -1703, -2665, -3841, -5231?\nAnswer: -6835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(6\/31))**19*((z**(-5\/4)\/z)\/(((z**(-1)\/z*z)\/z)\/z))**(-6\/13) assuming z is positive.\nAnswer: z**(-3243\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 7038 - 33130 = -2*p, -2*o + p = -13038. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3398*r**2*u**2 + 1958*r*u**2 + 2*u**2 wrt r.\nAnswer: -6796*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(684) + -5 + (-1*sqrt(684) + 2 - sqrt(684)))**2.\nAnswer: 12*sqrt(19) + 690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 4. Let v = -13 + 19. What is g(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.57798ns in seconds?\nAnswer: 0.00000008557798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2532*j**3 + 722.\nAnswer: 7596*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(0 - (-3)\/(-6)). Let l = 15 + c. What is the remainder when 47 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 1 - (9 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-3)\/(-6) - -1. Let z(p) = 2*p**3 + p**2 + p - 2. Let l be z(1). Let b = 42 - 39. Solve 4*c + 0 = 5*y + l, -j*c - 12 = b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j - 267. Give r(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/21 (b) -2\/7 (c) -14544.387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 8}. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1938 = 20*d + 238. What is the greatest common factor of d and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117.4 - -122.51. Let n = b - 5. Let v = 0.1 - n. Round v to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q**3 - 21*q**3 + 2*q**2 - 2 + 0 to the form v*q + w*q**2 + i*q**3 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 84, 142, 234, 372?\n\"Answer: 2*k**3 - k**2 + 25*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 17 = -q, 2 = 3*q - 5*b - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 441035 divided by 913\nAnswer: 441035\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - (31 + 50)) + 22*(-5)\/10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Suppose -4 + 0 = -f. Suppose -3*q - t = -0*t + 12, -f*q + t = 23. Let j(n) = n. Suppose -7*k - 96 = 17*k. Calculate k*c(r) + q*j(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**3 + 6*q**2 + 7*q. Let f(l) = -7*l**3 + 7*l**2 + 8*l. Give -4*f(a) + 5*k(a).\nAnswer: -2*a**3 + 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 4*a = -k - 70, 62*k = 12*k + 40*k + 38*k - 5*a - 118 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272999324 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 8*j - 1. Suppose 5*i + 64 = 13*i. Suppose -i*u + 6*u - 10 = 0. Let t(z) = -z**2 + 4*z. Let b(g) = u*t(g) + 3*f(g). Give b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 115. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4929933*u - 19719735. What is f(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/4421280 and -173\/322080.\nAnswer: 48634080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11425, -22843, -34265, -45697, -57145, -68615, -80113?\n\"Answer: -h**3 + 4*h**2 - 11423*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w + 1. Let p be t(-1). Suppose 0*x - 2*x = p. Let j = -6 + 5.8. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4775*x + 1437.\nAnswer: 4775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 774017781*h**2 + 3 + 774017777*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(-12)*o\/(o**2*o)*o**(3\/2))**(-42) assuming o is positive.\nAnswer: o**(-987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrirtt. What is prob of sequence tt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**12*r)\/(r**(10\/7)*r*r)*(r\/(r*r**(-35)))\/r**(2\/41))**(3\/7) assuming r is positive.\nAnswer: r**(20253\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (3 + sqrt(175) + sqrt(175) + 2))**2 + 3 + (sqrt(49) + sqrt(147)\/sqrt(3))\/sqrt(7).\nAnswer: 52*sqrt(7) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 3*m - 19 + 7*m + 9*m.\nAnswer: 3*m - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -128.4?\nAnswer: -123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - p = 0, -3*o - 1477*p = -5*o - 1480*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.4602582843.\nAnswer: 0.4602582843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 41*j - 334. What is the remainder when 447 is divided by w(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56799872*l**2*t - 15*l*t + 5*t - 97769 wrt l?\nAnswer: -113599744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1096 + -1149 - (2 + 0 - 1)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (-2)\/(-6) - (-138)\/18?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*k + 2261 + 1819 = 448*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 26*m**2 + 89*m + 44. Let b be l(-29). Let u(k) = -k**3 - 13*k**2 + 14*k - 7. What is u(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459540.7ns in days?\nAnswer: 0.00000002846690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Let n be s(4). Let z = 2 + n. Suppose z*k + 3*k - 10 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/12 + 2*y**3\/3 - 306*y**2 + 2. Determine a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (-56)\/(-66). Let h = 923 + -868.9. Let v = h - 54. Put -1\/3, w, v in increasing order.\nAnswer: -1\/3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135524.\nAnswer: 2, 17, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751390 is divided by 3511.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9100167 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 + 54\/15. Let u = 26 - -15. Let m = 47 - u. Solve 2*l = -4*a - m, 4*l - c + 15 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*p = -74*p. Put 0.7, p, 1\/6, -0.2 in ascending order.\nAnswer: -0.2, p, 1\/6, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 32*m - 63. Let c be f(-34). Suppose -c*v = 2 + 8, -i + 47 = -v. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 16*h - 221. Let d be u(-9). Suppose 30*z + 2698 = 4*n + 31*z, d*z = -3*n + 2030. List the prime factors of n.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 19 = -4*i, 3*i + 17 = i + 3*t. Does 9 divide (16 - -2)*i\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:21 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*f = -469*f + 168 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7377.09 minus -6899?\nAnswer: 14276.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13121, -13127, -13135, -13145, -13157?\nAnswer: -13171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -4, -9, 1 in descending order.\nAnswer: 5, 3, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/101 and -31\/5.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 3*v)*((0 - 1 - 1)*(-v + v + 2*v) - 1 + 1 + v - 2*v - 4*v + 0*v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1290 and -127\/258.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291545787.\nAnswer: 3, 13, 29, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 7*s**4\/24 - 7*s**3\/6 - 6*s**2. Is z(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -10*z + 3*m, 5*m + 0 = -5*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114532*t*v**5 - 2*t*v**4 + 4*t*v**2 + 5252*v**2 + 2 wrt v.\nAnswer: -6871920*t*v**2 - 48*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308897?\nAnswer: 103, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - (12 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(144\/18)*8*(-4)\/(-9).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/75 + 528\/198.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 165? (a) -4 (b) -5 (c) -72 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 12. Let r be u(0). Find the common denominator of (-75)\/(-16) + 1\/1 and 4\/(-12) + 127\/r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 53384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -196*s - 9. Let a be z(-1). Suppose -a - 191 = -6*i. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 - 0.85218?\nAnswer: -0.98418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/120 + j**5\/10 + 7*j**4\/24 + j**3\/3 - 13*j**2. Let v be s(7). Solve 4*l - 3 - 2 = -t, -3*t + 15 = -v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 1. Let l(z) = -5*z**2 + 2*z - 98. Let h(a) = -3*d(a) - l(a). What is the hundreds digit of h(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u + m + 14 = 0, 4*u = -4*m + 4. Suppose -w + 3*w - 4 = -2*s, -u*w + 6 = s. Suppose a + 0*a = -2*j + 10, w*j - 22 = -4*a. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1252\/1761?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 70 = -9*r. Let u = r - 11. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 462 = 19*c - 42 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10536 + -10534. Solve -2*h + 24 = 3*n + w, 2*n = h + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 g when three letters picked without replacement from {j: 4, r: 6, b: 3, d: 4, m: 1, g: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from {v: 1, c: 1, i: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 0.5.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 - -300.14. Let m = -0.2 + -0.2. Suppose 5*l - 18 = 2. Which is the third smallest value? (a) t (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 61*z - 24. What is the remainder when u(-23) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-7) - (-2)\/7. Let r = g + -1. Let q = 2 - r. Round q to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30841.3817 - 498.\nAnswer: 30343.3817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times -135189?\nAnswer: 6083.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -46*z + 34. Let n be p(-5). Let j be 8\/20 + n\/15. Is 20 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - (-359)\/3) + -11 + 279\/27.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -a + 3*k, 0 = 38220*a - 38225*a + 5*k - 50 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -69262416 divided by 48\nAnswer: -1442967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/96*-3*6\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 + 91310*j**2 - 365175*j + 273870 = 0 for j.\nAnswer: 1, 3, 18258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-1)\/((-2)\/(-3 + 5)). Suppose 4*a = 8, -2*o + p*a = -27 - 63. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*j - 257, -3*j + 9 = -0. Let n be (-21)\/a - (-36)\/14. Solve n*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.388394 to two dps.\nAnswer: -39.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*82\/(-3). What is the third smallest value in 5, h, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 2*d + 2. Let p be s(-2). Let x = 7 - 11. Let q be -3*3\/(12\/x). Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + -4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -515474.\nAnswer: -515473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 47 = 2*o - 10*z + 5*z, -4*z - 89 = 3*o - 152 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 1512*o**2 - 21609*o + 76146.\nAnswer: 3*(o - 7)**2*(o + 518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, t: 3, d: 3}. Give prob of sequence ttd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrfrffrffrjfrhjjf. What is prob of sequence fj?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/20)\/(-3)*6\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2593\/54980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111701313*l - 462063903 wrt l?\nAnswer: -111701313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 - 112. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*f - 20*f + f**4 - f**3 - 50*f**2 - 12*f - 3*f**3 + 2*f**3 in the form b*f**3 + z*f**4 + r*f**2 + a + p*f and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-13))\/(z\/(z\/(z**(-4\/3)\/z)))*z\/z**(14\/3)*z**(7\/5) assuming z is positive.\nAnswer: z**(211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2120331 - -3?\nAnswer: -2120322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, -28, -173, -396, -709, -1124, -1653?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:29 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1879 by -77.\nAnswer: -1879\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5538 and 6?\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 4. Let b be y(-9). Suppose 4*z = -2*i + 33 + 11, b*z + i = 58. Let f = 87 - z. Does 25 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiyhhdt. What is prob of sequence htdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75615088 is divided by 812?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 21*d - 1. Suppose 3*s = 4*s - 4*o + 27, 0 = 5*s - 4*o + 71. Determine m(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5894127 and 0.3.\nAnswer: -1768238.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300824853 a multiple of 2159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*t = 10, -4*s + 29 - 24 = -3*t + 53 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*-0.08721.\nAnswer: 0.0287793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13 + 14 - h - 13 - 2. Let j be w(-17). Let l(a) = a**2 + 7*a**2 - a**2 - j*a**2. Let o(u) = -3*u**2. Give l(o(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piiiiipppiiiippppipi. Give prob of picking 4 p.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 38, 1.7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2. Let c(d) = -19*d**2. Give 6*c(u) - 11*y(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 267*q + 93*q.\nAnswer: -176*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -322*i + 14. Let u(w) = -1266*w + 59. Determine 9*p(h) - 2*u(h).\nAnswer: -366*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -41, -51, -61?\n\"Answer: -10*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9*-1)\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 42*p - 130 - 94 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 2*m - 239 + 11*m**2 + 201 + 2*m**3 as t*m + n + a*m**3 + s*m**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59039101?\nAnswer: 11, 5367191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 greater than -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*h - 2 = 0, -5*h + 19 = 3*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 75, 122, 183, 264?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 316*b**2 - 38*b + 73. Calculate m(2).\nAnswer: 1261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 7*i**2 - 6*i + 8. Let h be t(-6). Let d = -84 - h. What are the prime factors of (d\/6)\/(8\/(-36))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*h - 8 = -5*h, -2*h = 0. What is the units digit of (12\/(-24))\/(1\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 59979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*275\/330*4\/(-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*t - 7, 2*t + 2*t + 34 = 2*x. Let m be (-3)\/(-1)*(0 - -1). Suppose 4*f = -f, 0 = m*i - 5*f - x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from lyggydgglggyl?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90 and 0.5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.089 and -916.727?\nAnswer: 916.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6665 = -26*y + 6691 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 6 (c) -18.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**(-3\/14))\/j))\/j*j*j)\/j**(-2\/57) assuming j is positive.\nAnswer: j**(1453\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + d - 31 - 2*d**2 as p*d**2 + t + o*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**3 + 2*v**4 + 6*v**3 + 10*v**3 + 2*v**4 + v + 5*v**4 as w*v**4 + n*v**2 + b*v + q + r*v**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 - 4*d - 3. Let l be w(-2). Let h = -8 - -13. What is the closest to l in 4\/7, h, -0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = q - 6*x - 39, -q + 5*x + 27 = 0. Calculate the remainder when 140 is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 57*u**2 + 286*u - 32. Give n(-4).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from ntqtitnintqtnni.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = y. Let b be -2 + 16\/(-12) + (-2)\/y. Sort b, 4, -0.1, 5 in ascending order.\nAnswer: b, -0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 981 and 504.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5, -166, -601, -1442, -2821, -4870, -7721, -11506?\n\"Answer: -22*l**3 - 5*l**2 + 8*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -1\/7 (c) -3\/5 (d) -1631 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 30. Let k be 3\/y - 3\/(18\/(-12719)). Suppose -11*g = -3*g - k. List the prime factors of g.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 0. Let v = -0.97 + -0.03. Let m = -6 - v. Which is the third biggest value? (a) 4 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 532 = 3*f, -4*o + 408 = -0*f + 2*f. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2) - 38\/28. Suppose -6*h + 10 = -h. Let z(t) = t - 4. Let d be z(h). What is the closest to d in 3, 1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-10)*15\/1. Let v = -17 - s. Factor v*b**2 - 15*b - 4 + b + 7*b**2 + 24*b**3.\nAnswer: 2*(b + 1)*(3*b - 2)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmxmmmxxmmmxmmmm. What is prob of picking 1 x and 2 m?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-69)\/12. Let n(v) = -v**2 - 3*v - 2. Let s be n(-4). Is w bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013935806 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33626424 to the power of 1\/2, to the nearest integer?\nAnswer: 5799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*d + 212 = -29*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, h: 1, o: 1, i: 1}. What is prob of picking 1 x and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2, -80.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640165003 to the power of 1\/2, to the nearest integer?\nAnswer: 40499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 0.051605539?\nAnswer: 0.051605539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*y, o - 3*y = 2*o - 4. Let w be (4 + o)\/(465\/108). Let n = 2\/31 - w. What is the third smallest value in 2, -3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = -4*s. Suppose 4*m - l = -s*l + 176, -m - 4*l = -32. Is m >= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/((-26)\/65)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - q - 32*q)*(2*q + 0 + 0)*(-2*q - 19 - 4*q - q - 18*q) in the form g*q + s*q**3 + j + o*q**2 and give o.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = o - 36 + 5, -4*o + 5*f = -79. Let y(z) = o*z - 16*z - 10*z - 1. Determine y(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513774592.\nAnswer: 2, 19, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Suppose -5*z = -91 + 36. Let d(u) = -z*u + 5 - 5. Determine d(f(i)).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3116*g**2 + 296*g + 2.\nAnswer: -6232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 67*z - 10*z - 9*z - 11*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 18*y**2 - 38*y - 35. What is g(-16)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 11\/2, 2, 1?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 5. Suppose -4*w = 135*s - 138*s + 16, 0 = -w + 5*s + 13. Give m(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 117, 204, 327, 498?\n\"Answer: 2*m**3 + 49*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.8 times -1.51?\nAnswer: -268.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 2182?\nAnswer: -2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6242438 + 2640439 = 0. Let q = 4988770 + w. Suppose 3*p + 252189 = -q. Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -2*sqrt(119) + sqrt(119))\/sqrt(7) + sqrt(17) - (sqrt(17) - ((1*sqrt(204))\/sqrt(12))**2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/77 and 21\/2915?\nAnswer: 20405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -908d8c (base 14) to base 10.\nAnswer: -4865040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 2285 = 3*k. Let i = k + -236. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 108, 276, 604, 1146, 1956, 3088?\nAnswer: 4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 3\/(15\/12200). Suppose 0 = 15*d - w + 875. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((1115\/10)\/1 + -2)*2.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10\/x**19 assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 - 3. Let z be 84*1*((-100)\/(-15))\/2. Let x = z - 287. Calculate m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133596696 to the nearest integer?\nAnswer: 11558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v + 79*v = 672*v + 18340 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1194 at most as big as 60468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 + 4*o**3 + 6*o**2 + 8*o - 4579. Give z(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198088836, 396177671, 594266506, 792355341?\nAnswer: 990444176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 5. Let r = 513 - 521. Calculate q(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2818, 2951, 2762, 2089, 770, -1357, -4454, -8683?\n\"Answer: -27*g**3 + g**2 + 319*g + 2525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 7*l**2 + 2*l**2 - 2*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*w + 2750 = -w + 7392 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*q - 5*q + 2*q)*(-44*q + 2 + 32*q + 0).\nAnswer: 84*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1977, -3935, -5905, -7893, -9905, -11947, -14025, -16145?\n\"Answer: -w**3 - 1951*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2648, -33, -2714, -5395, -8076, -10757?\n\"Answer: -2681*w + 5329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 593 + -300. Let p = 291 - k. Sort 0.1, 2, p, -0.7 in decreasing order.\nAnswer: 2, 0.1, -0.7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -t + 77. What are the prime factors of (1114\/3)\/(t\/(-21))?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g**2 - 10*g - 15. Determine q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g*g*g**(-2\/15)\/g)**(-3\/4)\/((((g\/g**(-1))\/g)\/g*g)**(2\/11))**(-2\/67) assuming g is positive.\nAnswer: g**(-31611\/14740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*h - 63*h + 2*h**2 + 2*h)*(-h**3 + h**3 - h**3) - 4*h**5 + 0*h**5 + h**5 + (1 - 2 + 0)*(-3*h**5 + h**5 + 0*h**5).\nAnswer: -3*h**5 + 95*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 4 = 17*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**3 + 0*z**2 + 0 + 2*z - 1\/3*z**4. Let j(k) be the second derivative of -k**4\/6 - 2*k - 132. Determine j(b(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(-5*sqrt(512) + sqrt(512))*6 + -4 + 3 + -2)**2.\nAnswer: 41472*sqrt(2) + 95551497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, a: 1}. What is prob of picking 1 r and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/7)\/(t*t*t**(-6)))**(-21))**19 assuming t is positive.\nAnswer: t**(-1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 10041636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9878*y + 21496 + 39964 + 5975 = -3609*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0587 + -0.0587. What is the nearest to t in 2, 5\/4, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 14973?\nAnswer: -74865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 4. Let d(w) = 7*w + 7. What is 2*d(q) + 5*f(q)?\nAnswer: -q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97996, -97988, -97988, -97996, -98012, -98036, -98068?\nAnswer: -98108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2\/3*j**3 + j + 2 + 5\/12*j**4 + 3\/2*j**2 - 1\/20*j**5. Let n(f) be the first derivative of t(f). What is n(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 28\/51, 16, -1\/6, -0.01?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1 + 1 - 3380*a + 3375*a. Let d(w) = 2*w. What is c(d(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 3. Suppose -4*o - 1 = 7, -1 = 3*x + 5*o. Suppose -5*c - x*z + 14 = 0, -3*c = 4*z - 4 - 0. List the prime factors of r(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 32 - 40. Suppose 2200 = 4*l + 4*u, 0 = 3*l + 3*u - c*u - 1634. What is the smallest common multiple of l\/27 - (-6)\/(-27) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988421 is divided by 199227?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*b**3 + 0*b**3 + 2*b**3)*(-3 + 4 + 1) + 3*b**3 + b**3 - b**3)*(-b + b - 4*b) to the form s*b**2 + l*b**4 + n*b + c*b**3 + p and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -843, -835, -813, -771, -703?\n\"Answer: z**3 + z**2 - 2*z - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -8\/5*f**2 - 2\/15*f**4 + 0 - 14\/15*f**3 + 0*f = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(40)\/sqrt(4))\/(sqrt(5) + sqrt(125)*5))**2 - (2*sqrt(50) - (sqrt(24)*3)\/sqrt(12))**2.\nAnswer: -33115\/338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:38 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 13 + (-11 - (7 + -4) - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 4:25 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*v. Suppose 0 = q + v*q - 15. Let o(c) = -2 + 12*c - 3 + 18*c - c**3 + 12*c + 5*c**2 - 41*c. Give o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**3 + 330*f**2 - 1248*f - 6. Let p(x) = -8*x**3 + 329*x**2 - 1248*x - 5. Let a(l) = 5*o(l) - 6*p(l). Determine d, given that a(d) = 0.\nAnswer: 0, 4, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 - 16*g\/7 + 15\/7.\nAnswer: (g - 15)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*a + 64*a - 4*a**2 - 4*a**2 to q*a**2 + c + j*a and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -3234\nAnswer: -80850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d. Let t(h) = -243*h**2 - 244*h**2 + 489*h**2. Calculate t(p(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -b + 7, -5*t + 10 + 1 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*r = -4*r - 13, 21 = -11*r - 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 4815427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961795 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3*4\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1.78 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11152*d + 205. Let l(w) = 164*w - 3. Let t(g) = -410*l(g) - 6*x(g). Let n(z) = -z**2. Give t(n(r)).\nAnswer: 328*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.0384 - -0.0384. What is the second biggest value in 3, -2, -141, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 224178*j**2*s - 52*j**2 - 3*j + 137 wrt s.\nAnswer: 224178*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -29.5. Let o = 210 + -237. Let k = j + o. What is the second smallest value in -0.3, k, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(245)*1)**2 + 0 + (-5 + sqrt(245) + -1 + sqrt(245) + (sqrt(245) - (sqrt(245) + 1*sqrt(245))) + -2)**2.\nAnswer: -112*sqrt(5) + 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8415 = -29*u + 8705 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94672.732 - 95095. Let w = 0.853 + 422.147. Let r = k + w. Round r to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159550?\nAnswer: 2, 5, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -27\/80 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 3. Let g(b) = -167*b**3 - 3*b + 6. Calculate -g(s) + 2*w(s).\nAnswer: 163*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14308, -14326, -14344, -14362, -14380, -14398?\n\"Answer: -18*o - 14290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -945 - 14*i + 945 + (2*i - 3*i - i)*(3 - 3 - 2).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_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: Calculate prob of sequence ko when two letters picked without replacement from ykkpyyjpppyktktyoyyy.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30*-8*(-1)\/(-10). Suppose 0 = -g - 4*a + 15 + r, -3*a = -2*g + 45. Let x = g - 25. Solve 0 = x*p - p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13309, -26324, -39339, -52354, -65369, -78384?\nAnswer: -91399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 0.2.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2 = m - 0*m, 4*m = 5*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37489574*c**5 - 4563839*c**2 - c?\nAnswer: -2249374440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/(h\/((h*h\/h**(-2\/7))\/h))))**4)**(-5))**(-38) assuming h is positive.\nAnswer: h**(-6840\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22425269*k**5 - 2*k**3 - 20763213*k**2?\nAnswer: -1345516140*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4169718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/392834 and -51\/151090.\nAnswer: 1964170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37428*i**3 + 4*i**2 + 14*i + 146?\nAnswer: -224568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21804, 4, -12, -5, 5, 26 in increasing order.\nAnswer: -21804, -12, -5, -3, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, 1 a, and 1 v when four letters picked without replacement from ivyvayeatva.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -713 - 620?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*r**2\/13 + 25642*r\/13 - 25916\/13 = 0. Calculate r.\nAnswer: -12958\/137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27641 + 27641.07. Put -74, -2, o, 0.5 in increasing order.\nAnswer: -74, -2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625124321 to the power of 1\/2, to the nearest integer?\nAnswer: 25002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - t**4\/24 + 5*t**3\/2 - 4*t**2. What is the units digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.251 - -0.049. Put -1\/7, k, -6 in descending order.\nAnswer: k, -1\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7130 and 19136.\nAnswer: 2966080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 268*j**3 - 7*j**2 - 4*j + 1. Let c(h) = -h**2. Let q(n) = -6*c(n) + m(n). What is the second derivative of q(r) wrt r?\nAnswer: 1608*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -152. Suppose -d = -0*w - 4*w. Let i = 101 + -95. What is the remainder when w is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 4\/3*u**3 + 0*u**2 + 11\/3*u**4 + 0 - 2*u. Factor x(q).\nAnswer: 4*q*(11*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 22123 = 22349. Let r = -200 - z. What are the prime factors of r?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9542 + 700?\nAnswer: -8d42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.3051204 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from djmwjwdgvwdww.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 11*s + 4. Let a(g) = g**3 - 2*g**2 + 2. Let c be a(2). Suppose -c*o = o - 201. Calculate the remainder when o is divided by d(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**3\/5 + 421128*z**2\/5 - 631719*z\/5 + 236898\/5.\nAnswer: (z + 26322)*(4*z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26b5 - -764?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 - 2*d**3 - 3*d**3 - 2*d**2 - 9*d + 10*d**2 + 4*d**3. Suppose g + 3 = -2*q - 13, -5*g - 52 = 3*q. Let t(a) = a + 15. Let m be t(g). Calculate i(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/119, 14\/5, -0.04 in descending order.\nAnswer: 14\/5, -0.04, -8\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80209317, -80209316, -80209315, -80209314?\n\"Answer: o - 80209318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32945 and 117865.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 124 + 112 - 13*r + 133 - 391. Calculate m(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1000*f + 1492. What is the tens digit of n(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01116234 - -351\nAnswer: 351.01116234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -463253 + 13?\nAnswer: -463240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - x**3 - 74 - 5*x**2 + 179 - 102 + (-2*x**3 + 2*x**3 + 2*x**4)*(x - 4*x + x).\nAnswer: -5*x**5 - x**3 - 5*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Are i and 0.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 3:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 6*c**2 + 4*c - 32\/3.\nAnswer: 2*(c - 1)*(c + 2)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q. Solve 0 = 3*x - q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -5 = -7*a + 79. Calculate the highest common divisor of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169941982 to the power of 1\/2, to the nearest integer?\nAnswer: 13036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 5*o + 7. Let j be l(5). Let g be 4*2 - -2 - 0. Let m = g - j. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1431)\/(-135) - 11)*-130?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.2 and -0.4.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 106*g + 1843. What is the remainder when 1168 is divided by s(-13)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -584, 0.04, 0.2, 0.833?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 988*p**2 + 87622*p + 171308.\nAnswer: 2*(p + 2)*(p + 113)*(p + 379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -3 + -30 + 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 5 = 5. What is the common denominator of (-14)\/(-49)*1246\/40 and t - (5 + 291\/18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-770))\/(1\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - 3*l**3 + 4*l**3)*(17 - 17 + 8*l) + (-4*l**4 + 27*l**3 - 27*l**3)*(-1 + 1 + 1).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(7533\/62))\/(-87*8\/36)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -2bc843?\nAnswer: -2bc831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 2. Let k = -15 - -21. Let b be d(k). Let r(h) = h + 8. Let f be r(b). Is f greater than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.199 to one dp.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*12\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)*r)\/(r*r**(12\/11)*r)*(r**(-4)\/r)\/(r*r**3*r) assuming r is positive.\nAnswer: r**(-276\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 2*i + i. Let j(s) = -s. Give c(j(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 3*m + 4. Suppose -6*f = 18 - 42. Let c(o) = 8*o**2 - 9*o + 13. Let p(a) = f*c(a) - 11*g(a). Give p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271139 rounded to the nearest 1000?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -52*k**4\/7 - 7646*k**3\/7 - 7254*k**2\/7 + 13140*k = 0.\nAnswer: -146, -105\/26, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.34 and -96265.\nAnswer: -96300.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.602094 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 103.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9055*q**2 - q**3 + 6 + 9055*q**2 - 7*q**3.\nAnswer: -8*q**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*m**2*o**3 + 4*m**2 + 633*m*o**2 - 269*m - 135*o wrt o?\nAnswer: -1890*m**2*o + 1266*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33752 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c + 2126 = 4982 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12846 and 726?\nAnswer: 1554366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 5*h**8\/112 + 11*h**7\/35 + 5*h**6\/8 - h**5\/5 - 3*h**4\/2 + 200*h**2 - 2*h. Determine x so that n(x) = 0.\nAnswer: -2, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4620, 1595, 7810, 14025?\nAnswer: 20240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*k + 768*k - 1552875 = 0. What is the highest common factor of 105 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**0*d)**32*(d*d**(-1\/2)*d)**(-2\/45) assuming d is positive.\nAnswer: d**(1439\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - n - 94104, 3*u + 52*n - 41*n - 70484 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-4)\/(-8))\/(2\/12). Suppose 3*a - g + 45 = 0. Is -9 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18363, 38601, 58839, 79077?\nAnswer: 99315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 543, 793, 1023, 1227, 1399, 1533?\nAnswer: 1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 e when three letters picked without replacement from gegjeoeieeoeg.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Suppose -y - 5 + 4 = 0. Let p(j) = j**3 - 2*j**2 + j + 6. Let t(o) = o**2 + 18*o + 11. Let a be t(-17). Determine a*v(q) + y*p(q).\nAnswer: -q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1158*m**4 - m**3 + 3*m + 365345 wrt m.\nAnswer: -4632*m**3 - 3*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360071?\nAnswer: 360071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 11*v**2 - 23*v + 27. Let k be s(9). Let w be (k + 17)\/(2\/(-10)). Find the second derivative of -5*a - 30*a**w + 52*a**5 + 23*a wrt a.\nAnswer: 440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22697 - -30073523\/1325. Let v = -11911\/9275 + m. Which is smaller: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3016 and 13224?\nAnswer: 171912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26091341 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 82368.24 micrograms?\nAnswer: 82368240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1441948 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -18608, -8 in decreasing order.\nAnswer: 6, -8, -18608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85579.721 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 1, o: 2, r: 1}. Give prob of sequence oor.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - x - 2*x + 0*x + (3*x - 3*x + 2*x + (-4 + 6 - 3)*(-2*x - x + x))*(190 - 515*x**2 - 190).\nAnswer: -2061*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5068.55828520254 + -2184126.70618559254. Let k = f + 2179146.1479. Let z = 88 - k. Round z to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 229054 = -7634. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 2*j - 131274 = -63*j. What are the prime factors of j?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9542 - 586\nAnswer: -10128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) 2 (c) 9.537 (d) 22 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.6243 days to nanoseconds.\nAnswer: 36255539520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1324895.487 - 1323934. Let i = o - 962. Let n = i + 0.013. Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1520899 and 198749?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c = 0. Let r(l) = l**3 - 10*l**2 + 10*l - 6. Let m be r(9). Solve 3*o = -i + 7, i + 2*i - m*o + 27 = c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2709\/645*360\/966. Factor 0 + 2\/23*z**4 + 42\/23*z**2 - 16\/23*z**3 - c*z.\nAnswer: 2*z*(z - 3)**2*(z - 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251\/6*y**4 - 306685\/3*y**2 - 1\/6*y**5 - 1164241\/6*y - 10583\/3*y**3 - 571787\/6 = 0.\nAnswer: -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 3*m - 11*m - 20*m.\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -374, -655, -936, -1217?\n\"Answer: -281*d - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(6820\/(-93))*65\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11. Let q(a) = -a - 23. Let t(k) = -3*q(k) + 5*u(k). Let j be t(-4). Solve -4*o + j = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3039587 divided by 1.\nAnswer: 3039587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 6060064 - 12120127 + 6060063.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 990907 times -1.3\nAnswer: -1288179.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*l**4 - l**3 + 3*l**2 - 747*l + 2861843.\nAnswer: 88*l**3 - 3*l**2 + 6*l - 747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/245)\/(147\/(-245)) + -12*(-12)\/364\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 - 6)*(w + w - w)*(-23*w + 17*w**2 + 2658 - 2658) in the form d*w**3 + g*w + b + r*w**2 and give d.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 53*k + 38. Let a(o) = -o - 2. Let m(i) = -3*a(i) - u(i). Differentiate m(r) wrt r.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:10 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 3*v + 2. Let o be s(3). Let z = -14 - o. What is g in -10*g**z - 3 + 0*g + 9*g**2 - 4*g = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347 a factor of 81894154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320109?\nAnswer: 7, 29, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 16) to base 11.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -12. Suppose f*t - 4*t + u + 24 = 0, 3*t = -5*u - 10. Which is the nearest to -0.4? (a) t (b) 1\/6 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001010010 - -111?\nAnswer: 111001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 59 - 404. Let k(j) = 24*j + 507. Let g be k(-18). Let v = o - g. Calculate the remainder when v is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shssmhvhs. Give prob of picking 3 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 7*i**2 - 19*i - 7. Let m be l(-9). Let r be -4*(15\/4)\/(-3). Solve 27 = 5*z - 2*x, -m*x = -r*z + 3*x + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 192, 3\/4, 1.2, -921?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -159. Let i = -49 - z. Calculate the remainder when 54 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - n + 92 = 109, 5*n - 79 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a14b3 (base 12) to base 15.\nAnswer: 1dac09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, -2\/7, 0.1263?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10375218\/11 or -943203?\nAnswer: -943203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((3\/20)\/(61560\/(-5472))).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1470, 1, -30 in decreasing order.\nAnswer: 1470, 1, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23206327 - 0?\nAnswer: -23206327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1b2a017 (base 12) to base 2\nAnswer: -10110000011100110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43152, -43151, -43150?\nAnswer: -43149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279 - -344. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + -5 + 2*sqrt(125) + sqrt(125) + (sqrt(125) + -2 + 2 - sqrt(125))))**2.\nAnswer: -4800*sqrt(5) + 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -15545755?\nAnswer: 15545747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (30590\/(-966))\/((-20)\/12)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6104*m + 6116*m = -21, -12 = -3*h + m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 6. Let n be (j - (-8)\/(-4))\/3. Let q be 12\/4 + (n - 1). Sort -5, q, -0.3.\nAnswer: -5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 27 - 207*t**2 - 6*t**3 + 201*t**2 - 318*t**2 + 5*t**3 to f + s*t**3 + h*t + y*t**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 1, z: 2, h: 4, a: 1, p: 4}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let l = -588 + 590. Let w = -2.8 - -3. Let a = -0.3 + w. What is the closest to a in 3, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676116582*v**3 - 367996953*v**2?\nAnswer: 4056699492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -340766900 to the nearest one hundred thousand.\nAnswer: -340800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 0 - 27*c**2 + 60*c**2 + 4 to the form x*c + w*c**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - 18*a - 10*a - 24*a - 17*a to the form w + s*a and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -3\/70 (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - -59) + 14 + 14 + -1 + 1 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvgvvvg. What is prob of sequence gv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mukg when four letters picked without replacement from {k: 2, g: 1, u: 4, l: 5, m: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x - 9. Let t = 2 + -8. Let l = 8 - t. What is the smallest common multiple of l and v(3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/3)\/c*c**13)**5)**(2\/61) assuming c is positive.\nAnswer: c**(340\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 53 + (79 - 54)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let w = 407 + -358. Let p(l) = 28*l - 10*l + w*l**2 - 18*l. Determine x(p(r)).\nAnswer: 2401*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 142, 314, 544, 826, 1154, 1522?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*s + 21868 = 0, 89*o = 94*o + 3*s - 109312. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13816 + -13811. Sort -4, 0.2, b, 1\/2, -12 in decreasing order.\nAnswer: b, 1\/2, 0.2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.1034 decades in centuries?\nAnswer: 92.01034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7568 + -4759. Is 38 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/1*(-56)\/12. Let i be 2\/1 + j\/(-4). Let g = 2792.4 + -2792. Sort i, g, -1.\nAnswer: i, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -67*w + 25. What is the closest to w in 3, 0.67, -2\/3?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*h. Solve -7*o + 2*o - 20 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.3 + -51.299998335. What is j rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8924761\/9 or 991639?\nAnswer: 991639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.469 litres in millilitres?\nAnswer: 7469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 3*v - 1. Let l(u) = 3*u**2 + 7*u + 2. Calculate -3*l(g) - 7*t(g).\nAnswer: 5*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulllgllgaluallul. What is prob of picking 1 g, 1 u, and 2 l?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -42*v + 15320. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.9854 millilitres to litres.\nAnswer: 0.0799854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (14\/4)\/(61\/490684)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.6 - 8. What is the fourth biggest value in 1, -1, q, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*x + 7 + 13 = 0, -5*x - 11 = -2*o. Let y be ((-198)\/(-24))\/11 - (-2)\/8. Let b be (1 - y)\/(-10 + o). Solve m + 4*c = 0, b = -0*c - 4*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899068.\nAnswer: 2, 73, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 8*d**2 - 7*d + 5. Let v be s(7). Suppose -v*f + 21 = -4*z, 5*f = f - 4*z - 12. Sort 16, f, 2 in decreasing order.\nAnswer: 16, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + ((-5*sqrt(72)*-4)**2 + 1*sqrt(72)*-5)*-6).\nAnswer: -1080*sqrt(2) + 1036782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, 767, 1150, 1533?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4045, -13, -4\/5 in increasing order.\nAnswer: -13, -4\/5, 4045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 278.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 21 - y + 3*y**3 - 2*y**3 - 6*y**2 - 30. Let r(m) = 3*m - 30. Let j be r(12). What are the prime factors of g(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (2 - -5)\/7. Let t(y) = -2*y**2 + y + 3. Let h be t(3). Let w(g) = g + 1. Let x(b) = 2*b + 2. Give h*w(p) + q*x(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 - (-124)\/(-9). Let q(g) = -g - 10. Let l be q(c). Suppose l*p - 10 = 2*p. What is the highest common divisor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-3)*(-3)\/2. Let f(t) = -t**2 + 8*t - 6. What is the tens digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 24*w + 23*w + 346796, 0 = 3*i - w + 1040396. What is i rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 482005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -455a7 + 17?\nAnswer: -45590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121394 + -216394. Round m to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3352*i**3 + 4*i**2 + 32*i. Let l(o) = 703921*o**3 - 839*o**2 - 6712*o. What is 4*l(t) + 839*q(t)?\nAnswer: 3356*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*f**2 - 14*f**2 - 1.\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(14\/18 + -1). Let k = -3\/8 - -25\/24. Let l = -1.9 + 0.9. Which is the closest to k? (a) m (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 9*p - 13. Let s be l(10). Let m be s + -2*(-5 - -1). Suppose 0*z = 2*f + 2*z - 22, 0 = -m*f + 3*z + 15. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6560)\/9020)\/((-1)\/(-11)) + -32\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6968 - 6967.7. Sort -2\/677, p, -7 in ascending order.\nAnswer: -7, -2\/677, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 3059.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.334, -5, -0.5, 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827 + 215 = -3*f. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -331\/47 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Suppose -15 = 5*f, a*f = 3*r + 2*f - 621. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 1170224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*f = 10, 0*l - 3*l = 5*f - 39. Suppose l*o - 77 = 35. Suppose -a - 4*k - 8 = -7*k, -5*k = a - 32. What is the greatest common factor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 + 14*l - 12*l**2 + 14*l**2)*(0 + 1 + 1).\nAnswer: -12*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 138, 139, 140, 141, 142, 143?\n\"Answer: r + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**3\/7 - 1032*y**2\/7 - 67587*y\/7 - 131070\/7 = 0.\nAnswer: -257, -85, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10020 - (-90)\/(-9)*(-3)\/(-5)?\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {m: 4, g: 2, a: 5}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 - 1. Let v be x(1). Let d = -134 - -127.3. Let y = d + 7. Sort v, y, -2\/5 in increasing order.\nAnswer: -2\/5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002787642 rounded to 5 dps?\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 5618894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5059*p**3 + 9 - 191*p**3.\nAnswer: 4868*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/5*4)\/(152\/(-4940)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 13 - 45 = -70 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o + 281. Let n be b(25). Suppose 197 = 4*x + k, 5*k - n*k - 146 = -3*x. What is the remainder when 192 is divided by x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 7*h - 3*o, -2832*o - 96 = -4*h - 2836*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49034.699992 + 49029. Let z = d - -5.7. Round z to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 384\/237899?\nAnswer: 384\/237899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7577*x + 172183*x + 16892*x + 25045*x + 6791*x.\nAnswer: 228488*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 90. Let x = r - 5. Let v(y) = 5*y + 3*y**2 - 4*y**x - 4*y - 4*y**2 + y**3. Determine v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*c + 1)*(-5*c**3 + 2*c**3 + 0*c**3) + (-4*c**2 + 6*c**2 + 4*c**2)*(c**2 + 0*c**2 - 2*c**2) to f + s*c**4 + m*c**2 + g*c + u*c**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 220212 - 77?\nAnswer: 220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*x - 236, -3*x - x + 20 = 0. Let y be t\/39 - (-2)\/13*1. What is the third smallest value in y, -5, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -35 + 68 + (8 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**3 + 3*f**3 + f - 19*f**3 - f.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75297598 is divided by 405?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 21*z - 97. Let x(r) = -r**3 - 69*r**2 + 974*r - 9. Let t be x(12). What is h(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjvojjojvjbobjj. Give prob of picking 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 21*b. Suppose b = 12*l - 21*l + 2961. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222*m**2 - 586*m + 118*m**2 + 111*m**2 + 9026 with respect to m.\nAnswer: 14*m - 586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.541 (b) 1\/18 (c) 0.66 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136582.\nAnswer: 2, 739, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37225 and 60721420.\nAnswer: 7445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1383*y + 37. Let g be o(1). What is g rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5479 - -43763\/8. Find the common denominator of m and 331\/(-144) + (-6)\/27.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10599.7609777 + 10546.161. Let c = -227 + 173.4. Let s = x - c. What is s rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-9)\/d*(d*d**(-8)*d)\/d)**(1\/10))**50 assuming d is positive.\nAnswer: d**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2338, 4662, 6974, 9274, 11562, 13838?\n\"Answer: -6*y**2 + 2342*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 399 + 71. Let d be (-348)\/28 - (-15)\/35. What is the common denominator of -71\/2 and u\/63 - d\/54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -7\/6*o**3 + 0 + 1\/4*o**4 - o + 9\/2*o**2. Let t(x) = -2*x**2 + 4*x - 5. Calculate -7*t(y) - 4*u(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 23 = 2*m, u + 0*m = m - 1. Suppose u*y = 3, -27 - 51 = -2*f + 2*y. What is the first derivative of 28*d - f + 25*d - 7*d wrt d?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*i - 167, -30*i = -l - 27*i + 91. Calculate the remainder when 149 is divided by l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -426 - -657. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 16. Suppose 77*s - 1540 = -33*s. Is p > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3427030327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = 2*h - 32*d + 1, -2*h = -5*d - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 - 164\/12. Let d = s + 40. Find the common denominator of -97\/10 and 4 - (-1 + 75\/d).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -539 - -1025. Let f be (x\/45 + -4)\/(2\/10). Calculate the greatest common divisor of 85 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 311.\nAnswer: 13\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -155757325, -311514649, -467271973?\n\"Answer: -155757324*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/10 - u**4\/6 - u**3\/6 + 2*u**2 + u. Calculate the remainder when s(3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9740.531 millennia to years.\nAnswer: 9740531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) 9440 (d) -17 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shhw when four letters picked without replacement from cswzvwhvhwhw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13174 is divided by 1879.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69 (b) -1 (c) -1476296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1515 - -3852. What are the prime factors of d?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 201. Let b be n(0). Let r be b\/39 - (-6)\/(-39). Solve -r*m = -0*j - 2*j + 7, -2*j + 1 = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose 20 = 4*j + p*h - 8, -j - h = -6. Suppose -m - 106 = -3*t, -j*t + 5*m + 54 = -t. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*l = 24 - 36, -8 = 4*r - 8*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4499 + -4499.027. Put -4, 2, h in increasing order.\nAnswer: -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82352, -164637, -246922, -329207?\n\"Answer: -82285*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Let o = 12 - 13. Which is the third biggest value? (a) x (b) o (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5665 - 5664. Let d be 5\/20 - 109\/4. What is the remainder when d\/12*(-1 + -3) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -5*i + 2091. What is i rounded to the nearest 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3513*v - 2670. Determine b(-1).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 4*y - 2214, -3*k + 3*y = -6597. Let a = -17597\/8 + k. Calculate the common denominator of (-2)\/8 + 26\/(-40) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - 2)*((-15)\/27*(-735)\/(-50) + 8).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -792*p**4*s + 24*p**3*s + 126620*p**2*s wrt p?\nAnswer: -19008*p*s + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 2. Let w = 76 + -74. Let v(f) = 5*f + 2. Give w*v(y) + 3*a(y).\nAnswer: -5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11150217*d = 11150187*d - 360 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1290 + 540. Calculate the highest common divisor of b and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.06 (c) 225 (d) -0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -94 (b) -6 (c) 63 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -234, -524, -910, -1434, -2138?\n\"Answer: -7*i**3 - 6*i**2 - 223*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -679\nAnswer: -339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-8))\/((-168)\/(-120) + (-162)\/30). Let g(o) be the second derivative of 0*o**3 + 0*o**2 + 1 - 3\/160*o**5 + 19*o + z*o**4. Find j such that g(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*242\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 294 + -292. Solve -j*b + 18 = 5*x, -b - 24 + 3 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2\/5, 2, 24\/11, -30\/11, -3?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.629. Let n = -1.129 + b. Let d be -4 + 3*(-2)\/(-6). Put -0.5, 2\/3, d, n in descending order.\nAnswer: 2\/3, -0.5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38150 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 6 = 5*j, -2*p + 4*p + 4*j - 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o + 5. Let m(h) = 5*h - 2. Let q be (-72)\/(-45)*(-2)\/((-4)\/(-5)). What is q*i(k) - 9*m(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:51 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/((47\/(20398\/35))\/(75\/20))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 5 (c) -4478 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 310*g**2 - 76*g + 31. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -9. Let g = 5.33 - 5.03. Which is the second smallest value? (a) g (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 4. Let p be c(4). Suppose 5*b + 486 = p*l, 4*b = -0*b - 8. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8677, -34496, -77461, -137572?\n\"Answer: -8573*h**2 - 100*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3411241?\nAnswer: -3411242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529 + 139*f + 11 + 64*f.\nAnswer: 203*f + 540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.5? (a) 1 (b) 8\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/12)\/(161\/483)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101 and 141501?\nAnswer: 141501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*m + 125671 = 101553 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280119.\nAnswer: 61, 37379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*n - 421 = 561 + 564 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294678053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 11 + 2)*(3*q**2 - 3*q**2 - q**2)*(4 + 2 - 5) to the form j + x*q**2 + c*q and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19\/60 + -11\/12. Let s = 44 - 24. Suppose 6*r - r = s. Which is the third smallest value? (a) 1 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s**3 + 2*s**2 + 9*s - 2. Let o(q) = -50*q**3 - 5*q**2 - 17*q + 5. Let p(w) = 2*o(w) + 5*u(w). What is the second derivative of p(f) wrt f?\nAnswer: 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520767 is divided by 39297?\nAnswer: 9906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*o**3*x**4 - 4*o**3*x + 2*o**3 - 2*o**2*x**2 + 336*o**2 + 14158*x**6 + 3*x**2 wrt x.\nAnswer: 1752*o**3*x + 1698960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 39822*z + 1585791684.\nAnswer: (z - 79644)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k**5\/2 + 20169*k**4\/2 + 636111*k**3 + 1040103*k**2 + 965713*k\/2 + 137641\/2 = 0.\nAnswer: -371\/3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 d when three letters picked without replacement from {f: 2, a: 2, u: 7, d: 1, i: 1, r: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*v - 29 = 0, -2*b + b - 2*v + 37 = 0. Let c be (6\/8)\/(b\/(-24)). What is the nearest to -2 in c, 3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18010 - 18013. Let n = 0.1 + -0.2. What is the second biggest value in -6\/5, s, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 493 + -458. Calculate the lowest common multiple of 21 and l.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412 - -113?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 1:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3241 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/(-1)*2381. Let q be 34\/32*2246 - -3. Let u = o + q. Calculate the common denominator of u and -41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-10))\/((-7938)\/(-1470)). Which is the nearest to 6? (a) -4 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1014.2976483052?\nAnswer: 1010.2976483052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121 or 117?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 48*t**2 - 525*t + 1250.\nAnswer: -(t - 2)*(t + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -1092 - 3708. What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.85, 1\/4, -2884, -11, 2\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*l, 0 = 3*a + l + l + 20. Calculate the remainder when 68 is divided by (-7 - a)\/((-2)\/(-46)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 19. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 5*r - 3. Let p(g) = -5*g**2 + 6*g + 4. Let h(d) = 4*k(d) + 3*p(d). What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1033 + -1.9107. Let v = -2.79 - -0.79. Let h = v - q. What is h rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5156 and 940970?\nAnswer: 1881940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(33 - 33 + 44*f) + (0*f - 2*f + 0*f)*(0 - 2 + 1) - 3*f + f + 4*f.\nAnswer: 136*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m - 29. Calculate the least common multiple of 4 and a(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3 = 8*m. Suppose 0 = g + 4*r - m, -r + 74 = 5*g - 4*r. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 0*x**3 + 0*x - 1\/15*x**5 + 0*x**2 + 0*x**4 + 3. Solve z(j) = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/140)\/((-18)\/15)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*l + 2 + 2 = 0, 4*c = -l + 8. Suppose 2*d + 4*u - 90 = 0, 5*d + c*u = -82 + 299. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 5 + (-106)\/25. What is the second smallest value in -0.5, g, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 12\/131, 0.438?\nAnswer: 12\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejjjedjb. Give prob of sequence djej.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5886, -2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 11*m + 3. Give n(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -705? (a) 154 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.077, 0.4, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -250, -867, -2076, -4075?\nAnswer: -7062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12450412540 - 4?\nAnswer: -12450412544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3)*(-87)\/2)\/(-118*(-46)\/2714).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5587006 (base 9) in base 2?\nAnswer: -1011011110110111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15)\/(4\/60*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 410*n + 14356. What is p(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 47*q**7\/105 + 165*q**4\/4 + 750*q**2 + 2*q. Find the second derivative of o(k) wrt k.\nAnswer: 1128*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68)\/sqrt(256) - (-1 + sqrt(17)*-4))*-3.\nAnswer: -297*sqrt(17)\/8 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + b - 1. Let l(q) = -4*q**2 + 10*q - 8. Determine l(p) - 8*t(p).\nAnswer: 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -2\/3*k**3 + 0 - 97*k**2 + 0*k + 1\/30*k**5 + 1\/8*k**4. Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101251 - 310?\nAnswer: 100541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuzz. Give prob of picking 2 z and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 11*u + 15. Let s be q(10). Suppose 5*j - 51 = -4*l + 74, 0 = -s*l - 25. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/24 and 5\/1101.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -137273.6524 and 0.322.\nAnswer: -137273.3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8958 + -2.9. Round w to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 2 + 13*k - 12*k + 2.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1098708 != -1098708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 + a. Let s = 240 - 237. Let l(q) = -4*q**3 + 2*q**2 + 8*q - 6. Let p(w) = s*b(w) - l(w). Suppose 0 = -0*v - 2*v + 10. Calculate p(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1053 - 762. What is the remainder when t is divided by 281?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/261 (b) -1 (c) -3\/2 (d) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (((-13)\/(-130))\/((-2)\/32855))\/((-13)\/364)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -20*b - 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 3, t: 3, c: 13, m: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -719 - -751. Calculate the greatest common factor of 128 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -64*h. Let g be r(4). Let b = g + 399. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 0*k**4 - 2*k**4)*((-2 - 2 + 2)*(2 - 1 + 4) - 1 + 4 + 2).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022116 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = z + 5*i, -z + 5*i - 30 = -6*z. Which is the closest to z? (a) 0.1 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 - 8449*i**2\/6 + 6840059*i\/6 - 1459090691\/6.\nAnswer: (i - 7571)*(i - 439)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -139\/4 (b) -0.102 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 133801788 - -0.3\nAnswer: 133801788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -18 - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*r + 24, -100 = -5*q + 2*r + 3*r. Let x = 47 - q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-183)\/(-12) - (-1)\/(-4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 81*b - b**2 + 65*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11*z + 1962 = 6*z, 3*v - 3*z - 1962 = 0. List the prime factors of v.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(96) - sqrt(96)) + sqrt(96))\/sqrt(4) - sqrt(24))\/(sqrt(12) - (sqrt(1200) - sqrt(1200)*-1)).\nAnswer: 2*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980429 to the power of 1\/2, to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.2. Let y = -1 - q. Let m = -0.28 + -0.12. What is the nearest to y in m, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/213 and 19\/891144.\nAnswer: 63271224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*t**2*x + 2*n**2*t*x - 5217*n**2*x**2 - n*t**2*x**2 - 46474*n*t**2*x + 3*x**2 + 2*x wrt x?\nAnswer: -10434*n**2 - 2*n*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-12) - 66\/(-99)*(-6)\/1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 - 31*m**4\/4 - 76*m**3 - 249*m**2 - 252*m = 0 for m.\nAnswer: -14, -12, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (11 + 0) - -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:46 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 + -103. Suppose 4 + n = b + 5*u, 0 = 5*u. Let c = b + 14. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -21 (b) -0.1 (c) -2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(6*1*(sqrt(275) + -3*(sqrt(275) + 3)) + 3))**2 + 4.\nAnswer: 24000*sqrt(11) + 168404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-137534)\/10 + 20\/(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + 0.16. Let v = 0.056 - 0.266. Let t = v + l. Are t and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224 divided by -2?\nAnswer: -6612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -3. Suppose 1 = -u + q, -q - 3*q = -c. Let f(j) = -j**3 + j**2 + 2. Let r be f(0). Solve u = 2*w + r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93827840 divided by -2932120?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.49 + -1.31. Let f = 0.3111 + -0.0111. Which is the biggest value? (a) 1\/3 (b) 0.4 (c) f (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-8) - 65\/(-40). Suppose 16 = -7*a + 212. Let h be (2\/(-80))\/(a\/(-70)). Is h < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468486.\nAnswer: 2, 3, 17, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 - 17 = 5*u. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a centimeter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15440 (base 9) to base 7\nAnswer: 42543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 9, g: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let o = k + 1.9998. What is o rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 60*z - 66*z - 8, 0 = -z - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - 6*i - 8. Let w be d(-6). Suppose 36 = -0*p - 2*p. What is the units digit of (-48)\/(-18)*p\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14003934 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/25)\/(0 + 50\/(-125))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5270*o - 3009181. What is u(-571)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + m**4\/3 + 7*m**3\/6 - 7*m**2\/2 - m + 2. What is a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5580\/(-48))\/31)\/(8\/192*-25).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31010, -62024, -93054, -124106, -155186, -186300, -217454, -248654?\n\"Answer: -k**3 - 2*k**2 - 31001*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 171.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -38*i**2. Let v(d) = d**2. What is v(g(c))?\nAnswer: 1444*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 2*z - 4*z)*(431*z + 81*z - 4639*z + 477*z - 1770*z - 4110*z) as h*z + j*z**2 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 736271141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = -639 + 3106 + 3833. What is the remainder when x is divided by 93?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 21*j - 10*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6429578*v. Let s(m) = -2*m + 39. Calculate s(w(z)).\nAnswer: 12859156*z + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/21 - 8*h**3\/21 - 2*h + 1. Factor y(l).\nAnswer: 4*l*(l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**9\/35280 - j**8\/15680 + j**7\/5880 + j**6\/1680 - 2*j**4\/3 - 8*j. Let l(i) be the third derivative of y(i). Factor l(h).\nAnswer: -3*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 0.1, 10, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21281891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kkwkwkk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8*j + 1 - 5.\nAnswer: 8*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43266509 or 43266507?\nAnswer: 43266507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6098 is divided by 5792?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605390, -2421559, -5448508, -9686237, -15134746, -21794035, -29664104?\nAnswer: -38744953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016849 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -7. Let n = i + 7.9. Let c = n - -0.1. What is the third biggest value in 1\/10, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -20*r**3 + 46*r**2 - 53. Find the second derivative of a(m) wrt m.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1419 and 18805534?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-72 - -121 - -16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-24)\/(-9) - (-11)\/(-33) - -9 - 9)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + -33.13. Let a = c + 33.3. Put a, -4, 0.02 in decreasing order.\nAnswer: a, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315 + -12287\/39. Let t = -35\/78 + j. Let m(a) = -a. Let o be m(0). Is t less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3964 + 5.4. Let c = s - -0.01. What is c rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14880.02 + -15164. Let m = 4.02 - v. Let k = 288.0000169 - m. Round k to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -4 (c) -0.4 (d) -2\/9 (e) -82 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 3363?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 11 = 13*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by (59\/(-3))\/((-4)\/3 - -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 95737811?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 15, c - 6*m + m - 13 = 0. Sort 0, 5, c in decreasing order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7068*c + 21149. Give j(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20879 = 1054*x + 530*x - 1297 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7853478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 6\/19 (c) -571.488 (d) -3 (e) 0.1 (f) 2 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.42 - 66. Let u = z + -22.42. Let q = u - -22.99995. What is q rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 117605?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297776 - -185228. Round v to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-234))\/((-2)\/108) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -41*r**3 + 6*r**2 + r - 98. Let j(k) = -42*k**3 + 7*k**2 + k - 97. Let t(o) = 7*i(o) - 6*j(o). Differentiate t(c) with respect to c.\nAnswer: -105*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 52.29. Let o = 0.4 - h. Round o to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**2 + 362181*f - 724350 = 0.\nAnswer: 2, 120725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224939.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60.88 - -67. Let t = a + -6. Let r = t + -0.61. Round r to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 + 116*k**4 - 504*k**3 + 776*k**2 - 524*k + 132 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*q - 2)*(-1 + 4 - 4)*(20 + 5 + 3) in the form a*q + j and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4, 5*f - 3*f + 4 = -c. Which is smaller: f or -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-2 + -4) - -5*(-25 - -20)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.195 and 695629828.\nAnswer: 695629827.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -52. Suppose -4*q + 2*i = -26, -2*i = 2*q + 2*q - s. What is the second derivative of 7*g**3 - q*g**3 + g**2 - 2*g - g**2 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 9*i**4\/4 - i**3\/3 - i**2\/2 + i + 35. Give r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/5910894 and -145\/1751376.\nAnswer: 47287152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10463 + -10463. Which is bigger: -3\/1192 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, -134, -4, 11, 5 in ascending order.\nAnswer: -134, -4, -3, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 2, u: 1, w: 11}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 20.5. Let w = 21 - 13. Let r = 3 - w. Which is the third smallest value? (a) r (b) g (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t + 7 = z - 63*t, 0 = -2*z - 4*t - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 9:32 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1766\/9 - 196. Which is bigger: 0.02457 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 61. Give k(29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2512481, -5024926, -7537371, -10049816, -12562261, -15074706?\n\"Answer: -2512445*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 + 162*c**2 + 5*c + 184. Calculate the least common multiple of f(-27) and 413.\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57627.\nAnswer: 3, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25282, 292, -1\/2.\nAnswer: -3, -1\/2, 292, 25282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*a = -4*a + 3, 3*r = a - 11. Let d = 0.253 + 0.047. What is the second smallest value in r, -5, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*g + 263*g = 150*g - 75 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28477440 + y + 28477340 - 56954780.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2297\/11 - -209. Let r = -0.58 - -0.58. Let k = 1.71 - 1.61. What is the closest to k in b, r, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 + 9*t - 1. Let m be s(-6). Which is the closest to 1\/3? (a) 4\/9 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide ((-144)\/81)\/(-8) - (-671306)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104099902 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - 14. Let p be (-7)\/(-2)*(-24)\/h. Find the first derivative of -g + 3 - 3*g**p - 5 + g wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 1031044?\nAnswer: 1031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l = 2*z - 93 - 209, 60 = 5*z - 4*l for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 3*y)*((-1 + 1 - 1)*(1 + 1 - 1) + 3 - 4 + 0)*(y + 0*y - 3*y)*(2*y**3 + y**3 - 11*y**2 + 10*y**2).\nAnswer: 12*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 562\/10 - (-70)\/(-350). Let p = -7 - -21. Calculate the greatest common divisor of b and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 30*k**2 - 10*k - 10. Let f(z) = 10*z**2 - 3*z - 3. What is 3*a(x) - 10*f(x)?\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13084 or -13086?\nAnswer: -13084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 57*t**2 - 120*t - 5067. Give l(-57).\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (33432\/224)\/(2\/96)?\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 11. Let t be i(14). What is the greatest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -716 divided by -179.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*((sqrt(2299) + -1 - sqrt(2299)) + -2 + 4 + 0 + sqrt(2299))*-6)**2.\nAnswer: 792*sqrt(19) + 82800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/90)\/(35\/75)*14\/4?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -1213001?\nAnswer: 1213005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20023311201 (base 4) to base 3\nAnswer: 11001000020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 273*o + 1649. Is 123 a factor of v(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*j - 387, 10*z - 6*z = 4*j + 1608. Let o = 2026\/5 - z. Calculate the common denominator of o and 53\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-14)*(-16)\/(-10). Let y(t) = 5*t**2 + 4*t**2 - 4*t**2 - f*t**2. Let x(k) be the second derivative of 2*k**3\/3 - 3*k. Calculate y(x(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 383644943 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36145183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 62. Let x be u(-8). Let b(k) = k + 7. Let i be b(-5). Solve 0 = -3*p + x*p - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:29 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -136. What is the remainder when 86 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(22)\/(sqrt(99)*1) + (2*(1 + sqrt(98) - sqrt(98)) - (-2 + sqrt(98) + 2)).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18 + 24)*(-2)\/(-3). Let x be (-18)\/4*(-4)\/6. Find the third derivative of 0*m**5 - 3*m**4 + x*m**a + 3*m**5 + 5*m**2 wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/6*78\/65. Suppose -5*b + z*b - 79 = l, 5*l = 3*b - 83. Let w be 0 - -183 - (1 - 0). Calculate the highest common factor of w and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*z**4 - 195*z**3 + 342*z**2 + 540*z - 648 = 0. What is z?\nAnswer: -3, -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5598.\nAnswer: 5\/5598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10462b (base 15) to base 8.\nAnswer: 2750172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 12, -5, 9, -4 in increasing order.\nAnswer: -9, -5, -4, 1, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158.3416 - -173.04. Let b = 7323 + -7308.3. Let k = b - y. What is k rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114.893 + -115. What is a rounded to 3 decimal places?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + -4 - (-56 - (-85 - -63))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330 or -414?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -270*t**3 - 8*t**2 + 18*t + 142. Is 109 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -48\/5*t + 4\/5*t**2 - 112\/5 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.53 in -81, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z)**(-1\/2)\/(z**(-2))**(-16\/9) assuming z is positive.\nAnswer: z**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 600773 (base 8) in base 11?\nAnswer: 125106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*d = -5070, -3*s + 5785 + 9467 = -5*d. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 + 449. What is the remainder when g is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-82460)\/1984)\/(-95))\/(1\/(-2)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*h - q, 3*h - 22 = -h + 5*q. Let u = -20043 - -220471\/11. Which is the closest to u? (a) -5 (b) h (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 23*q + 76. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*p**4 + 3*p**3 - 577*p**2?\nAnswer: 2712*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -11. What is the second smallest value in n, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 1348?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 11*g**2 + 12*g + 25. Let b be y(-10). Suppose -2*w + 1342 = b*s, w - 4*w + 5*s = -2063. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122231 - 10?\nAnswer: 122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7061*c + 57465. Calculate g(8).\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 506\/7*g + 2\/7*g**3 - 36 - 256\/7*g**2 = 0. Calculate g.\nAnswer: 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 4464*m**3 + 26676*m**2 - 39960*m = 0.\nAnswer: 0, 3, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from {v: 1, l: 2, g: 2, r: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218 + 245 - 432)*(-5*n + 2*n + 2*n).\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:58 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 298187\/804 - 4409\/12. Let z = p - 21281\/5159. What is the common denominator of 59\/21 and z?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -77 (b) -5 (c) -2\/3673 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2022, -4264, -6506?\nAnswer: -8748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201464753.0000194 + -201464636. Let x = b + -117. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892972?\nAnswer: 2, 223243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24488, 48969, 73450?\n\"Answer: 24481*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r. Let v be q(1). Suppose 5*t - v*x = 24, 2*t - x = -6*x + 3. Suppose a = 3*l + t - 1, 3*l + 5*a = -21. Sort -5, 4, l in increasing order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8129.4274 and -0.4111?\nAnswer: 8129.0163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.69936513 rounded to 0 dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711797 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + n**2 - 4*n - 3. Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from cdcccmzdccdddcg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 less than -0.026?\nAnswer: -152.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 57 = -93. Solve 4*c + 0 = -l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b)*(2 - 1 + 0) - b + 2 - 2 - 6*b - 2*b - b + (4*b + b + 0*b)*(0 - 1 + 2).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 divided by 3?\nAnswer: -415\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -326738 to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-18 - (-13 + -13)) + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12.5. Let m = -0.27 - -3.67. Let v = m + -0.4. Sort v, -5, u.\nAnswer: -5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86986308 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 787*f - 2. Let d be q(-2). Let m = d - -2572. Is m\/15 - 3\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 433 - 439 + 794.\nAnswer: 2*p - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/60 - 159*k**2. Let p(z) = 384*z. Give s(p(l)).\nAnswer: -147456*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2902565453?\nAnswer: 257, 823, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.13694 to the nearest integer.\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 95*o + 193 + 2*o**2 + 8*o**2 - 148 = 0?\nAnswer: -9, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s**(-2))**(-10\/9) assuming s is positive.\nAnswer: s**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 5.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 699*l = 704*l + 401220, -c + 57336 = 4*l. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 3*k - 8*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*s = -176 + 3, -k = -4*s - 52. What is the greatest common factor of k and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.43, 1, -2\/13, -3, 0.1?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.042 + -1.958. Suppose -6 = -o - o. Let p be ((-2)\/o)\/(8\/(-6)). What is the closest to -0.1 in p, s, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h**2 - 54*h + 3. Let k(o) = -25*o**2 + 110*o - 8. Give -2*k(w) - 5*q(w).\nAnswer: -10*w**2 + 50*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 6*i + 10. Let r be n(-8). Does 15 divide 3\/6*r + 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1589860982093179.6000139 + -1589860617768227. Let k = 364324973 - t. Let o = k - 20.4. Round o to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 5*t + 6. Let s = -499 - -494. Let o(f) = f - 1. Determine s*o(c) - w(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m*t*u - m*t - 375*m*u + 3738*t**2 - 2*t + 2*u + 5 wrt t?\nAnswer: 2*m*u - m + 7476*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 14 + 4, 4*w + 5*u = 31. Let t be (-1683)\/77 - 1\/7. Let o = 30 + t. What is the remainder when w is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220480.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2380981*i**3*m**3 + 26*i**3 - 10*i*m**2 + 2*m**3 + 1552307 wrt i.\nAnswer: -14285886*i*m**3 + 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2114, 16878, 56864, 134654, 262830, 453974, 720668?\nAnswer: 1075494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - 97 - (-2086 - -2051).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.4985807 nanoseconds in weeks?\nAnswer: 0.00000000000009672384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -1033231?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a845 (base 12) in base 14?\nAnswer: -6a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.79654 + -0.07714. Let m = r + -0.0414. Round m to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700*d - 5297070 = 143*d. Is d smaller than 9508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Let s(j) = j**3 - 6*j**2 - 2*j + 8. Let t be s(6). Put t, 3, k in increasing order.\nAnswer: t, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmlnqqsq. Give prob of sequence qqqm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 168 = 3*r - 349 + 92, -r + 11*b = 217 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*f = -173*f + 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/176 and 99\/1664.\nAnswer: 18304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + c + 44, -229*x + 243*x = c + 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.88 - 18.88. Which is the second biggest value? (a) 0.2 (b) -4 (c) -7\/4 (d) -3 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -942*w**4 + 10*w**3 + 947*w**4 + 20 + 7*w**2 - 20 - 42*w**3 to z*w**2 + q*w**3 + s*w**4 + p + t*w and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/280668 and -107\/7524.\nAnswer: 9262044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 2, v: 4, g: 2, i: 3}. What is prob of picking 3 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - c + 5*c + 320 = 0, 5*a + c - 295 = 0. Let t be (-18)\/4 - (-1)\/2. Let i be t\/10 - 366\/(-15). Calculate the highest common divisor of a and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4517 + 4424 + b - 866.\nAnswer: b + 8075","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/21985 and 21\/5960?\nAnswer: 26206120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4780158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349121 is divided by 49864?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 21*c**2 + c + 20. Let w = 112 + -16. Let h = -117 + w. Let u be b(h). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 6*r + 4. Let o be q(7). Let k be (-2)\/o*7*-3. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -16 - (-2 + (13 - 10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28435.3993 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32542 + -1125135?\nAnswer: -1202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31580.78 micrograms in grams?\nAnswer: 0.03158078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and 314?\nAnswer: 38936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 16.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + -1 + 5 + -2. Suppose -2*s = -7*s + y. What is the derivative of 1 + 4*h**3 - s*h**3 - 2*h**2 + 2*h**2 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2383 + -2389. Is i greater than or equal to -222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -0.14 (c) 0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**4\/3 - f. Let h(x) be the third derivative of -x**5\/4 + 8*x**2 + 4*x - 6. Give v(h(u)).\nAnswer: 900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 50.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q + 5. Suppose q*r = -5*f + 5, 2*f = 3*f. What is the first derivative of -5*m**4 + r - 2 + 3*m**4 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4*20\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10415*f*u**3 + 3*f*u**2 - 21*f*u*w + 2*f*u + 5983651*u**3*w - u**3 + 4*u - 2 with respect to w.\nAnswer: -21*f*u + 5983651*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56876 and 2596.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137267489 + -332187276771\/2420. Let q = -17234036\/605 + 28486. Let f = p + q. Find the common denominator of -21\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + j + (0*j - 4*j + 3*j)*(2 + 0 + 1) - 2*j - 5*j + 6*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*l*q*w + 4*f*l*w + 3*f*q**3*w**2 - 2*f*q**2*w - f*w**2 + 11*l*q**3 - l*q**2 - q**3*w**2 wrt q.\nAnswer: 18*f*w**2 + 66*l - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -24*k + 6*k + 28*k. Which is the second smallest value? (a) -0.03 (b) 5\/3 (c) 3\/8 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6126369, 12252761, 18379153, 24505545, 30631937, 36758329?\n\"Answer: 6126392*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let z(b) = -4*b - 1. Let s(t) = -5*v(t) + z(t). Let m be s(1). Solve m = o - 5 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2187)*-3*-6)\/(-6*sqrt(9)*-2 + (sqrt(576) - -1*sqrt(576) - sqrt(9))) + -4))**2.\nAnswer: -192*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 7*i - 6. Let a be h(6). Suppose a = -2*p - 0 + 20. Calculate the remainder when (9\/(-12))\/((-27)\/1332) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/120 + a**5\/15 - a**4\/12 + 2*a**3\/3 - 3*a**2. Let f be v(4). Which is bigger: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1172112 to three decimal places.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 76599*j**2.\nAnswer: 3*j**2*(j + 102132)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1387*x**2 - 229*x + 915. List the prime factors of f(4).\nAnswer: 3, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqss when four letters picked without replacement from sssqsqsqqsqqsq.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -4.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 29. Let w be 10\/s*10431\/38. Let h = w + 227. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/9953 - -39734\/129389. What is the closest to x in 0, -2\/3, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (22 + -35 - -9)) + 27?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7*v - 23 = -w, -5*v - w - 22 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 79*p - 626. Let k be i(-9). Let j = 27 - 25. Solve -3*s - 25 = -o - k*o, -3*o = j*s + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -8, -4, 62, 51 in decreasing order.\nAnswer: 62, 51, 17, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12549 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*p = 6*p + 6, 2*l + 3*p = -15. Suppose 5*t - 17 = r, 3*t + 1 = -0*r - 5*r. Let m be -1*l\/r*2. Let s(n) = -8*n - 3. Calculate s(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.41929 centuries to months.\nAnswer: 1703.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/494 and -5\/1368.\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.06.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:16 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*j - 4 = -171*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.31? (a) -142 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 785\/1 + -40 + 53. What is the highest common factor of 722 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, s: 7}. Give prob of sequence jsj.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128\/579 - -2\/1737. What is z in 2\/9*z**3 + 0*z - w*z**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 25*l**2 + 59*l + 28. Let h be d(23). Does 3 divide (-2)\/12 - h\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 143190.\nAnswer: -16\/71595","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(1*3*sqrt(12)) + -5)**2 + (sqrt(152) + sqrt(152)*-1*1)\/(sqrt(96)\/sqrt(3)).\nAnswer: -10*sqrt(19)\/3 + 244\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + (((-2*sqrt(420) - sqrt(420))\/sqrt(7))\/sqrt(12) - 2*(sqrt(400) - sqrt(25))\/sqrt(5)))*-5)**2.\nAnswer: -81000*sqrt(5) + 387000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 3296 = -1258 + 759. Which is the closest to 1? (a) -0.5 (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 = -612*m + 645*m + 62 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 3*i + 34. Let t be h(-6). Let f(m) = m**3 - 15*m**2 - 14*m - 9. Let u be f(t). Solve 2*z = -j - 3*j + 20, -j - 5*z = -u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95889, 191778, 287665, 383550, 479433?\nAnswer: 575314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1495338 by -249223.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by -1 + (-1608)\/(-40) - 1\/5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13536 divided by 6?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1952640 and 4896?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Suppose -w + 3*x - 15 = 0, 0*w = -4*w - x - 21. Calculate the remainder when 8 is divided by q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 17*d - 2. Give k(13).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14705892301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**3)\/a**(-8\/5)*a**(2\/39)*a**(-15)\/a assuming a is positive.\nAnswer: a**(-3188\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-45)*(-15)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/4)\/((-2)\/44). Let r = -20 + t. Suppose -5*x + 3*d + 9 = 0, -r*x = -0*x + d + 3. Solve 2*u = -4*a, -3 = -x*a + 5*a + u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -845119*l. Let v(a) = -11*a. What is v(o(y))?\nAnswer: 9296309*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 4, s: 1, w: 2, l: 1}. Give prob of picking 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -4*b**7\/7 - 7*b**5\/4 - 23*b**2. What is the third derivative of c(q) wrt q?\nAnswer: -2880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37772 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12097 = -2*q - 7*g, 5*q - 30185 = -g. Let n = q + 2477. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156315*n - 1894455.\nAnswer: -156315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 85763*u + 171538. Calculate x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -451224415?\nAnswer: 451224404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, -4 in descending order.\nAnswer: 11, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 691.719 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119523391*b**4 - 13579896 wrt b.\nAnswer: 478093564*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67\/3 + -22. Let p = 0.4 - -1.6. Which is the closest to t? (a) 0.03 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 4*k**2. Let g be j(-4). Suppose a - 6*a + 115 = g. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-21)\/6)\/7. Suppose -6*k + k + 90 = m. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5372?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5413674*o - 5413667*o + 16241095*o - 5413762*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = 10. Let u be -4 + (-5)\/((-15)\/9). Which is the closest to u? (a) l (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 30 = -3*n - 4*k, 4*k = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1537 (base 11) to base 12\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from djjddj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let q(n) = 18 + 17 - 55 + 21. Let o = 5 - 4. Let h(v) = o*i(v) + q(v). Calculate h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 12, 0*u - 3*r - 21 = -2*u. Let t(j) = -2*j + 9. Let x be t(u). What is the units digit of x\/2*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*o**3 + 2 + 4 + 4 + 36*o**3 as t*o**2 + s*o**3 + p + z*o and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2795 and 8495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42750348 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 23. Suppose 2*s - p = 46. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13688402, 13688422, 13688442, 13688462?\nAnswer: 13688482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*z + 465 = 2*u - 1053, 21*z + 2*u - 33 = 18*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 6*t - 4. What are the prime factors of b(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(((-28)\/(-3))\/(-4)))\/((-26)\/91).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 - 6 = 0. Solve -v = -3*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-2*(-3)\/18)\/5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1 + 0)*(-33 - -31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 26, -4, -52 in descending order.\nAnswer: 26, 3, -2, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2 + 0*p + 4*p - 3*p. Let i be c(-4). Is (-6 + -2)\/i - -1 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 78 - 2172*f - 41 + 21. Let m be h(-16). What is m rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1832309 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j - 4*r, 0 = 5*j - 0*r - 3*r - 102. Suppose -3*u + 7*u - 2*v = j, -u - 13 = -4*v. Solve -4*i = -u*i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 43*t - 2536. Calculate the remainder when m(61) is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 1052 - 1058. Let a(f) = -2*f**2 + 5*f + 5. Let w be a(6). Sort w, -1, z.\nAnswer: w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 2, t: 2}. What is prob of sequence ei?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-66))\/((-19)\/1064*35)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16949, 17181, 17413, 17645, 17877, 18109?\n\"Answer: 232*i + 16717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -72) + -25 + 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 0, 11, 26, 45?\n\"Answer: 2*u**2 + u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2340 + 2331.872. Let q = -8 - p. Round q to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44996587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/3 + 124*t**4 - 1026*t**3 + 5032*t**2\/3 - 776*t = 0. What is t?\nAnswer: -194, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10 - 3 + 13 + o**3 + 31*o + 17*o**2. Let q be x(-13). Let a = q - 49. Calculate the remainder when a is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 246645?\nAnswer: -246645.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 7*s**2 - 3*s + 18. Let n be x(-4). Let c(y) = y**3 - 9*y**2 + 9*y - 3. Let o be c(8). Solve o*u - 1 = n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 378.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1953 - 0.2953. Let a = 245\/4 - 61. Put b, -37\/4, a in descending order.\nAnswer: a, b, -37\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 7*f**2 + 3*f + 6*f + f**2.\nAnswer: -6*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3130?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-6 - -6) + -12 + 1 - 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(18\/7)\/w**10)**(-3\/32) assuming w is positive.\nAnswer: w**(39\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 17 = 5*d, -3*o - 10 = 5*d + 8. Suppose 4*q - 11*u - 25 = -6*u, 4*q = 4*u + 24. Sort o, -2, 2, q.\nAnswer: -2, o, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 3*k**5\/20 + 3*k**4\/4 - 4*k**3\/3 - 3*k**2\/2 + 33*k. Let n be l(-5). Round n to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:24 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-922)\/48)\/((-1)\/(-33)). Suppose -8*k + 2881 + 2199 = 0. Let f = k + r. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -17403?\nAnswer: -4\/17403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 40 - 79*y.\nAnswer: -79*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -404, -221, -1, -5, 4 in ascending order.\nAnswer: -404, -221, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*p - p**3 + 7*p + 1 + 101*p**4 - 4*p - 17*p wrt p.\nAnswer: 1212*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 376 - 217. Let i = a + -64. Suppose 0 = 7*d - 2*d - i. Solve -3*s = -k - 9, 5*s - k = 2*k + d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*16\/60*(-5)\/12\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53.84616t?\nAnswer: 53846.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 22\/(-5)) + 8\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 168*a**2 - 64*a - 65. Determine b(42).\nAnswer: -2753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -105214 at least as big as -105211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 - 2*y + 6. Let n be (-4)\/(-10) - (-6239)\/(-85). Let x = 70 + n. Let j be 6*(-2)\/x - -5. What is z(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -0.07, 3, -0.01, -4\/33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.55 + 0.05. Let g = -2.7 + a. Let w = 3.19999948 + g. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 7*i)*((-2 + 5 - 4)*(-2 + 3 + 1) - 4 - 4 + 6) + (1 - 1 - 2*i)*(-2 - 2 - 6).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1 - 600\/15. Let g = -27 - v. Calculate the highest common factor of g and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*y + 4*h, -3*h + 21 + 21 = -2*y. Calculate the common denominator of (-4 + -5 - -68)\/3 and (-50)\/(-6)*(-9)\/y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*c + 8*c + 13*c.\nAnswer: -213*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {g: 7, r: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d + 29. Let h = d - -44. What is the remainder when 43 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1010101000?\nAnswer: -1010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -381 and -0.16416084727?\nAnswer: 380.83583915273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - -54. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11098150 divided by 2219630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 2*w + 1, -3*r + w = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195070 divided by -39014.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-36)*(30\/(-4))\/5. Let o = 40 + -39.7. What is the second biggest value in 1\/2, 0.2, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 334*(-3 + (-14)\/(-4)). Let g = h + -116. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**4 + 5*s**3 + 5*s**2 - 4*s - 5. Let x(j) = j**3 + j**2 - 1. Let r(f) = -i(f) + 5*x(f). What is the second derivative of r(l) wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 339377274*p\/5 - 28794233526917769\/5.\nAnswer: -(p + 169688637)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 828 - 603. Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860277.4 centuries in years?\nAnswer: 86027740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 4\/411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*f - 21 = -4*r, 0 = -4*r - 4*f + 28. Let z be (-3*1)\/((-12)\/r) - 223. Let c = z + 121. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 6305472*o**2 + 63054728*o\/5.\nAnswer: -2*o*(o - 2)*(o + 15763682)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 110 = -s + 2*f, 5*f + 66 = 2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232363.\nAnswer: 232363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 635 - z + 644 - 281*z**3 - 1276 to the form w*z**3 + a*z**2 + f*z + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2 + 252\/136. Let f = h - 19\/102. Sort f, 0, 0.3.\nAnswer: 0, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126088641 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 21*v - 23*v - 202 = 0, 0 = -5*v + 25. Suppose 4*y - 2*b - 59 = 357, -m = -2*y + 3*b. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-798)\/77 + (6 - -3))*6\/(-15)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-4 + -1)) + -18 + (45 - 19).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**7\/840 + v**5\/120 - v**3\/24 - v**2\/2 - 7. Let p(x) be the second derivative of y(x). Factor p(k).\nAnswer: -(k - 1)**2*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - (-57)\/12. Suppose -5*h = -5*u + 30, 22 = -h + k*u - 4. What are the prime factors of 1*(0\/h + 10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**5 - 4*w**3 - 6*w**2 + 2*w. Let a(p) = p**5 - p**4 + 3*p**3 + 5*p**2 - 2*p. Let d(l) = -3*a(l) - 2*i(l). Factor d(x).\nAnswer: -x*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfttskn. What is prob of sequence sk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000050896263 to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103057?\nAnswer: 257, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37828 = -795*r + 409*r for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 130*q - 88. Let w(b) = -44*b + 29. Let s(m) = 2*v(m) + 7*w(m). Suppose 30 = -h - 0*h - 3*y, 5*y = h + 22. Let n(t) = -7*t + 4. Give h*n(z) + 4*s(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 6*f + 6. Suppose -54 + 97 + 125 = 21*l. Let r(n) = -5*n**2 - 9*n - 9. What is l*x(c) + 5*r(c)?\nAnswer: -c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 888676505 to the nearest integer?\nAnswer: 29811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19362*c - 259613*c + 24549*c - 439082*c.\nAnswer: -654784*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 64 - 44 = 0. Calculate the smallest common multiple of (8\/6)\/((-18)\/o) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 7*k + 2. Let a(r) = 10*r**2 + 6*r - 7. Let f(h) = -9*h**2 - 6*h + 6. Let i(y) = 4*a(y) + 5*f(y). What is -5*i(d) + 4*n(d)?\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 4*o - 8. Let c(a) = a**3 + a**2. Suppose -3*b = -s - 8, 0 = 4*s - 2*s + 5*b - 17. Let h(x) = s*z(x) + 4*c(x). Determine g so that h(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069184 less than -8?\nAnswer: -7.930816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 359, 382, 433, 524, 667, 874?\n\"Answer: 2*c**3 + 2*c**2 + 3*c + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48016, 95938, 143860, 191782?\n\"Answer: 47922*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 + -4)*4)\/((-2)\/(-500)). Let l be (-42)\/4*a\/180. What is the highest common factor of l and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290 and 580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t + 1. Let m(q) = -6*q. Give 2*a(p) - 3*m(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 - -281. Let h = -74 + x. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 1, -62 in increasing order.\nAnswer: -62, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 22\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/11)*d**9)\/((d*d\/(d**5\/d)*d*d)\/(d*d\/d**(-2\/21))))**(3\/19) assuming d is positive.\nAnswer: d**(2647\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 437*m - 2716. Give c(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 83446\nAnswer: -83445.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by -36.\nAnswer: -137\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*f - 11*f**2 + 62*f**3 - 56*f**3 + 85*f + 11*f**2.\nAnswer: 6*f**3 - 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from tntettmtnytttttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7848351855.\nAnswer: 3, 5, 4861, 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 3732?\nAnswer: 3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1652, -3244, -5836, -9428?\n\"Answer: -500*t**2 - 92*t - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 55. Let g = -3 + 3. Solve g = q*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 3 - 2 - 4 + 4.\nAnswer: -3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:49 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + k = 5030, 0 = 4*d - d + k - 3016. What are the prime factors of d?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5 + sqrt(612) + 0 + 4 - (sqrt(612)*-2*-1 + -1 + -3 + sqrt(612)))*2)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 + -1.2. Let t = 11.554 + -0.054. Let d = 11 - t. What is the second smallest value in d, k, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.001 + -0.001. Let m = 30.7 - k. What is m rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -3. Let y = c + -5. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 - 530. What is the tens digit of (18 - q) + (-3 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + 8052\/144. Let r = 56 - u. Let c = 3 + -2.8. Sort -2, r, c in decreasing order.\nAnswer: r, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -43*v + 4. Let t be j(-2). Let x(y) = -t*y + y**2 + 4 + 172*y - 90*y. Determine x(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-294)\/66 + (-12)\/22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17973414 by 1.\nAnswer: -17973414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644838 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(-2 - (-30)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*a + 3380, -2*a = -3*c + 1401 + 1963. List the prime factors of c.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + 1. Let c be y(-5). Let i = 56 + c. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-48)\/7)*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 - 190324*j**2\/3 + 11797205*j\/3 - 182841782\/3.\nAnswer: (j - 190262)*(j - 31)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11.89. Let o = z + -0.125. Let b = o + 8.215. Round b to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmww when four letters picked without replacement from {w: 2, z: 4, u: 1, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -111? (a) 3 (b) 1 (c) 17 (d) -259 (e) 5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-36)*(-2)\/3\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9158 and 1?\nAnswer: 9158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 29*q - 19. Let j be i(15). Let b(k) be the first derivative of -k**2\/2 - 2*k + 1. Calculate b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8402445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*(-9)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 16. Let k(d) = -4*d - 12. Suppose 4*x + 28 = -3*b, 4*x + 2*b - 5*b = -4. Let u be k(x). Solve 2*p + 6 = 3*o, -3*o - u*p = 4 - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9\/4)\/s)\/s)**24\/((s**24*s)\/(s\/(s\/(s\/(s**(-32)*s))*s))) assuming s is positive.\nAnswer: s**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100101011110000011100010010 - 11?\nAnswer: 110100101011110000011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -11. Let g = r + 10.09. Let d = 0.11 + g. Which is the smallest value? (a) -7 (b) -3\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13636712 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -1090, -1634, -2178, -2722, -3266?\nAnswer: -3810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 85. What is k(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5453*n - 77527. Determine y(14).\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2710, 10549, 23614, 41905?\n\"Answer: 2613*r**2 + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 363\/(-2)*(1050\/(-9))\/7. What is the highest common factor of h and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(5\/3))\/i)\/(i\/i**(1\/6)))\/(i**(1\/4)\/(i\/(i\/(i*i**(3\/8)))*i)) assuming i is positive.\nAnswer: i**(71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let j be 28\/(-154) + (-31)\/11. Let u = j + 3. Solve 5*v - 12 - 8 = 0, u = -4*i + a*v - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/24)\/((-2)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 104816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 742 + -751. Let v be -2 - (39 + -3)\/j. Solve -m + 4*l = -0*m + 19, -v*m + l = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6894, -6899, -6904?\n\"Answer: -5*g - 6889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24162 is divided by 620.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 560872*f - 19661087524.\nAnswer: -4*(f - 70109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 - q - 1 + 0.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2)*-64 + 0. Suppose -y + 5*y = k. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009\/(-697) + (1 - -2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0 + 0*u**2 + 0*u**5 + 0*u**3 - 1\/15*u**6 - 2*u - 1\/3*u**4. What is the third derivative of k(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2238*g + 47. Let j(f) = -13427*f + 306. Give -2*j(x) + 13*k(x).\nAnswer: -2240*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/7 + (-2)\/7. Let r = u + -7. Let m(q) = -2 - 10*q - 3 + r + 3*q. Let i(x) = 8*x - 8. What is 5*i(s) + 6*m(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 3101?\nAnswer: -3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(42\/(-6)))\/((-195)\/(-156))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 153982069 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -514550187 by -1.\nAnswer: 514550187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l**3 - 2*l**2 + l**2 - 2*l**3)*(-l + 0*l - 2*l) as y*l**4 + x*l**2 + r*l + n*l**3 + p and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 - 2 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 35 = 4*u, 2*b + 4*u - 26 = 0. Let y(c) = 114*c - 112. Let g be y(1). Solve -b = k + g*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383282 is divided by 104.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-2)\/24*-327. Let i = t + -205. Let c be (i\/(-36))\/((-2)\/(-3)). Solve l - c = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1552*u + 3108*u - 1552*u + 1 + 369*u**2 + 2 + 1 as a + m*u**2 + p*u and give m.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a44b14 (base 14) to base 2\nAnswer: 10101001001110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Let t(l) = -189301*l**2. Determine b(t(c)).\nAnswer: -757204*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) 4 (c) 7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -141370?\nAnswer: 1\/70685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670448390 and 6670.\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02529 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5*y**4 + 55*y**3 + 180*y**2 + 80*y + 53. Suppose b(i) = 0. What is i?\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34000\/3 or 11334?\nAnswer: 34000\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, v: 1, p: 1, h: 2, o: 2}. Give prob of picking 1 l, 1 o, and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a350 (base 14) in base 13?\nAnswer: -64969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -3, -5, -119 in descending order.\nAnswer: 13, 4, -3, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-82)*-3)\/(1890\/2520).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70*(49\/(-21))\/((-900)\/270).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -4.7\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 21783 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2208 - 0.2418. Let j = -6.089 + w. What is j rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833*s + 4*j + 11 = -834*s, s = 3*j + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 + 5 = w + 2*r - 7*r, 17 = -w - 5*r for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 184452, 735085, 1652808, 2937627, 4589548?\n\"Answer: y**3 + 183539*y**2 + 9*y + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.1136 millilitres in litres?\nAnswer: 0.5801136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Suppose -2*d = g*l - 58015, l = 5*d - 3*l - 144988. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-9) + 195\/(-117). What is v in -1\/2*v + 1\/3*v**2 + 1\/3*v**3 - 1\/2*v**4 + 1\/6*v**s + 1\/6 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 0) + (-21 - 81 - -107)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 12. Suppose -t = -4*l + 3*l. Suppose -33 = -l*y + 33. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(3*sqrt(800) - sqrt(8) - sqrt(8)))**2 - sqrt(35)\/(sqrt(15)\/sqrt(108)).\nAnswer: -6*sqrt(7) + 1\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*f + 3*f + 11, -2*f = 3*h + 7. Let d = h - -6. Sort -4, d, -1 in increasing order.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613941*p**4 + 1299248*p**2?\nAnswer: -14734584*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18\/19 (b) 3\/5 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370*f - 57190 + 535*f + 57190 - 673*f**4 wrt f.\nAnswer: -8076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j - 1. Let v be a(0). Let o = 32 - 17. Let i = v + o. Calculate the remainder when 27 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**7\/14 - 7*p**6\/5 + 57*p**5\/4 + 909*p. Factor m(s).\nAnswer: -3*s**3*(s - 5)*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7465, -7450, -7433, -7414?\n\"Answer: z**2 + 12*z - 7478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 258111?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 113 = 2*j. Put j, -3\/5, 3, 2 in descending order.\nAnswer: 3, 2, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -233?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922007.6mm to meters.\nAnswer: 922.0076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4*u + 2)*((0 + 0 + u)*(0 - 2 + 3) + u - 2*u + 2*u - 3 + 3 - u + 4*u - 5*u + 2*u) to the form l*u + a + i*u**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12693, -12669, -12633, -12579, -12501, -12393?\nAnswer: -12249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2 = 2*o. Let j = -197 - -197. Suppose -5*g + y = 2 - 1, -2*g + y - o = j. Which is the second biggest value? (a) 0.07 (b) 0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/154 and (2\/363)\/((-35)\/((-79695)\/(-44))).\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046741209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 940528900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6396556 months to millennia.\nAnswer: 0.0002199713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 + 13*h + 30*h - 73*h + 26*h in the form j*h + b and give b.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**3 - 11*p**2 + 8*p. Let z(u) = 3*u**3 + 4*u**2 - 3*u. Let w(q) = 2*r(q) + 7*z(q). Give w(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 49\/6159, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 5. Suppose 2*k = k + l. What is the units digit of (k\/(-2) + 2)*-16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 590 and 15960562?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11889.22 nanograms to tonnes.\nAnswer: 0.00000000001188922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 s, and 1 u when four letters picked without replacement from sssxxsxsxsxxssxuxxs.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0129? (a) -2\/7 (b) 0.3 (c) 281 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (242\/968)\/(19\/(-76)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 608?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 177?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, t: 4, y: 5, c: 1}. What is prob of sequence ybc?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**3\/8 + 5*p**2\/2 + 17*p\/2 - 2.\nAnswer: -(p - 4)*(p + 2)*(9*p - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4*k + 2*k + 4*k)*(0*k**2 + 2*k**2 + k**2) in the form y*k**3 + i*k**2 + s*k + h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 3*l + 2. Suppose -3*h - 1 - 5 = 0. Calculate x(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((-1*sqrt(950))\/((sqrt(2) - sqrt(8))*-6) - (sqrt(76) - -5*-2*sqrt(76))\/(sqrt(48)\/(sqrt(12)*-1)))).\nAnswer: -12 + 59*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18200 and -0.1.\nAnswer: 18199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145 and 335?\nAnswer: 9715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) 2\/553 (c) -1\/2 (d) -0.1 (e) 1\/2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0213493 take away 1.13?\nAnswer: -1.1513493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198286 not equal to -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2571\/44 - 904\/11. Find the common denominator of r and 70\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 + 538 + 0*z + 2*z + 0*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 668566501*q**5 - 7689*q**2 + 2*q - 657.\nAnswer: 40113990060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 - 254 - 60*w**3 + 78*w**3.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/10 + 2\/(-5). Suppose i - 11 = -o*i + 4*r, -i + 7 = 2*r. Suppose 0*y = -i*y + 165. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdv when three letters picked without replacement from zzedvzvvzvezezzdbv.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 624 + 16451?\nAnswer: 20405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s**2 + 14. Let g(x) = 8*x**2 + 5. Let p(v) = -19*v + 5. Let l be p(1). Let j(m) = l*g(m) + 5*u(m). Let i(w) = -6*w**2. What is i(j(d))?\nAnswer: -384*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -3. Let v = 0.0393 + -0.3393. Sort n, -5, v in ascending order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 37*q + 1. Let g(x) = 279657*x. Calculate n(g(k)).\nAnswer: 10347309*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -14.2. Round a to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11122101 (base 3) to base 12.\nAnswer: -1b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:50 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -10.559.\nAnswer: -3.1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 + 4*d**3\/3 - 4*d**2 - 28*d - 1. Suppose 53 = 4*n - 2*k + 7*k, 25 = 5*k. Give f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -12. Let k = 5 - g. Let h = 1 - 0.8. What is the smallest value in k, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - v**3 + 2*v**3)*(3*v - v + 0*v)*(2*v + 2*v - 3*v).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67804 and 61640?\nAnswer: 678040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -3 (c) 0 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r + 40155. Let i be 4\/6 + r\/(-9). Let w = i - 10697\/12. Calculate the common denominator of w and -17\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.65 + -1.3. Let n = 0.46 + u. Let i = n + 0.39. Which is the third smallest value? (a) -5 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1550*r**3 - r - 20. Let y be n(-20). What is y rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30303 - 15874. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/5)\/(a\/((a*a**(-26))\/a)) assuming a is positive.\nAnswer: a**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95494389 and 10302?\nAnswer: 5151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 3*m + 0*m)*(2*m**2 + 2*m**2 - 3*m**2) - 907*m**2 - 949*m**2 + 147498*m**3 + 2804*m**2 - 948*m**2 as u*m**3 + v*m**2 + l*m + d and give u.\nAnswer: 147497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -192*k**2 + 4*k. Let x(w) = 24769*w**2 - 517*w. Determine 517*g(h) + 4*x(h).\nAnswer: -188*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Suppose -w + 3 - y = 0. Let t(r) = -7*r**3 + 2*r**2 - 5*r + 5. Let b(c) = 4*c**3 - c**2 + 3*c - 3. Let s(i) = -5*b(i) - 3*t(i). What is s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(980) + 4*sqrt(980))**2 + -3.\nAnswer: 24493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.0661855 - 8939?\nAnswer: -8809.9338145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(500) + (sqrt(500)*2 + 5)**2) + (sqrt(360)\/sqrt(2)*-6)**2*-2.\nAnswer: -810 + 1260*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5281 = 9*b + 4489. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230044 + 10?\nAnswer: -1230034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3818643 is divided by 165?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8695 - -8794. Suppose 2*x + t = 4*x - 165, -x + 2*t + 78 = 0. Let u = s - x. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 4)*(2 + l - 2) + (56 - 32*l - 56 + (-2 + 1 + 5)*(0*l - l + 2*l) + 1 - 2*l - 1)*(0 + 2 - 3).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/10 + 71\/(-355). Solve l*u = -4*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or -76?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let l = 3 - 1. Put l, -1, z in decreasing order.\nAnswer: l, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/16*6*(-10)\/15\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21081 - 42435 + 21316 - 2*n**2.\nAnswer: -2*n**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -28. Find the third derivative of 19*a**2 - 5*a**h + 3*a**4 - a**4 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14765430 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2 - 3\/(-9)). Let u(f) = f**2 + 4*f - 4. Let m be u(-4). Let k(o) = 6*o**2 + 4*o. Let n be k(m). What is the highest common factor of n and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-462))\/(-2) - (-8)\/(-28)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 5) + (16 - 8) + (-5 - 16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + 0.7. Let o(v) = v**2 + 8*v - 35. Let z be o(3). What is the smallest value in 0.4, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10.367874us?\nAnswer: 0.0000001727979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-6) + 2)\/(12995\/522399)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 480590*j**2 + j - 7551792 wrt j.\nAnswer: 961180*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j**4 - 2*j**3\/3 - j**2\/2 - 6. What is b(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 31 + (17 - 9 - 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 550627.88 to the nearest one hundred.\nAnswer: 550600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*s + 24, 4*s + 0*s + 3*d - 28 = 0. Suppose 3*u + 4 = s*x - 8, -u - 26 = -5*x. Solve -x + 1 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 20*g**2 - 51*g - 100. Calculate u(18).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, v: 1, l: 4, a: 3, c: 1}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9*x)\/x)\/(x\/x**11)*x**(-1\/31)*x*x*x*x*x**(4\/9) assuming x is positive.\nAnswer: x**(6532\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -212*g - 4081. List the prime factors of s(-75).\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k**3 - k**2 - 9*k**3 + 5*k**3 + 0*k**2 + k - 4*k**3 to the form q*k**3 + z + b*k + u*k**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062 take away -14267119?\nAnswer: 14267119.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 11\/6*v**3 + 5\/6*v**4 + 0 + 10*v + 0*v**2. Find the second derivative of k(c) wrt c.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.047, 11, -4, -12.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 278*y - 1. Let p(j) = -832*j + 3. Determine -8*i(v) - 3*p(v).\nAnswer: 272*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 863*t**2 - 7 - 623*t**2 + 3 in the form a*t + q + x*t**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/(-15) - (2 + 60\/(-25)). Let n be 10\/(-15)*(t + -2). Solve 12 = -3*j + n*u - 5, 2*j = -2*u - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4280*j**3*n**2*p - j**3*n - j**2*p + 3*j*n**2 + 278*j*n*p - 2*n**2 + 10*p wrt j.\nAnswer: -25680*j*n**2*p - 6*j*n - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/20 - i**4\/12 - i. Factor n(v).\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895063479?\nAnswer: 3, 2203, 135431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12235*i + 1. Let r be u(1). Let t be -3*1*(-4)\/r. Let z = t + 112149\/4078. What is the common denominator of 9\/4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - -5) - (3 + -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*a - 0*a + 1501, -4*x - 504 = a. Let f = a - -706. List the prime factors of f.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 6*w + 6. Let d be a(4). Let k be 4\/d + 26\/7. Suppose -10 = -12*t + 7*t. Solve t*o = 2*i + 20, 4*o + i + 5 = -k*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 131111*o - 262221\/2.\nAnswer: -(o - 262221)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33.32507t?\nAnswer: 33325070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r)*(-r + 4*r - 2*r + (4*r - r - 4*r)*(3 - 1 + 0) - r + 2*r + r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 9. Let q(a) = 4*a + 8. Let m(v) = 4*i(v) + 3*q(v). Calculate the remainder when 30 is divided by m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5905191 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -155*x. Let f = 7650 - 7653. Let l(q) = -12*q. What is f*c(d) + 40*l(d)?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11880 and 1020.\nAnswer: 201960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 2. Let x = l - 1. Let h = -1595 + 1600. Solve 3*d + 25 = 6*w - w, x = -w + h*d + 27 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63148 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: Rearrange (l**2 - 4*l**2 - 3*l**2)*(-5 + 2 - 5)*(3*l**2 + 3*l**2 - 3*l**2) to the form o*l + j*l**3 + k + v*l**2 + u*l**4 and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 971, -1153 in increasing order.\nAnswer: -1153, 45, 971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(2\/7))\/((l*l**(-4\/15))\/l)*l**(-1\/9)*l*l**12)**(-17\/4) assuming l is positive.\nAnswer: l**(-19907\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihisihiss. Give prob of picking 2 s and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 6*m - 5. Let g = 5 - 3. Suppose -g*s + 2 = -s. Suppose -2*a + 3*z + s = 0, -4*a = -3*z + 4 + 4. What is f(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13367.97*0.0833\nAnswer: 1113.551901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d. Suppose 3*y = -y + 36. Let a = -6 + y. What is p(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 2, n: 2, k: 2, b: 4}. Give prob of picking 3 b and 1 n.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002022 to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15875 + -15832. Solve -39*s + 32 = -k*s - 5*w, 1 = s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (0 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-112)\/308)\/(10\/55). Sort v, -480, 3.\nAnswer: -480, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312*q - 324*q + 722*q)*(-37*q**2 - 5*q**3 + 37*q**2) + (-q**4 + 2*q**4 + 0*q**4)*(1 - 1 + 1) + q**4 + q**4 + 0*q**4.\nAnswer: -427*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 - (2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101420101 (base 5) in base 12?\nAnswer: 1830a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-3 + 2) - (-979 - -994 - (-2 - -17))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 5*g - 2. Let f = -20 + 13. Let r be -2 + -3 + 1 - f. Let j be q(r). Put -4, -1, j in decreasing order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 6 + 4*w)*(0*w**2 + 0*w**2 + 3*w**2) + w - w - w**3)*(-w - 3*w + 5*w) to the form g*w + m*w**4 + v + r*w**2 + q*w**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - v = 3, 11 = 5*v - 4. Solve -2*t + 3*p - 4 = -1, -o*t = 4*p - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k - 4*k)*(2*k**3 + 0*k**3 + 3*k - k**4 + 2*k**4) + 2*k**3 - k**5 - 2*k**3 + (-3*k**4 + 0 + 0)*(k - 4*k + k) + k**5 + k**5 - k**5.\nAnswer: 4*k**5 - 4*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 3, 1, 1, 3?\n\"Answer: w**2 - 7*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((74\/518)\/(4\/(-14)))\/(85\/10).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1425f18 + 4?\nAnswer: -1425f14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -2 (c) 8\/1551 (d) -0.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r - 24. Let p be m(8). What is the highest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 44*o + 577. What is f(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -297*y**3 + 319 wrt y.\nAnswer: -891*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Suppose v + i*v + 4*c = -8, 5*c - 1 = -4*v. Solve -2*j + 6*j + 7 = -3*b, v*b = -j + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 27*o**2 + 34*o + 616. Does 19 divide a(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (2 - -2)\/((-8)\/(-92))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8389, -8388, -8387, -8386, -8385, -8384?\nAnswer: -8383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -490545 (base 10) to base 13\nAnswer: -142383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 2*k + 25 - k.\nAnswer: k + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12542, 12553, 12576, 12617, 12682, 12777, 12908?\nAnswer: 13081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -1, 2, 6, 0 in descending order.\nAnswer: 6, 2, 0, -1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.8 + 181.8. Let x = n - 161.63. Round x to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22321 (base 7) to base 12\nAnswer: -332a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40694\/8 + (-17)\/(-68) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1861, 2393, 2925, 3457, 3989, 4521?\nAnswer: 5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 554.\nAnswer: 2, 3, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -30. Let u be (40\/(-24))\/(5\/(-18)). Does 23 divide u\/(-4) + (-2456)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) + (-12)\/(72\/(-165)). Let d(n) = 10*n + 2. Let h be d(4). Calculate the greatest common factor of s and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/45 + (40\/(-6))\/(-4). Does 2 divide -7 - 104\/(-2) - 2*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8707 is divided by 348.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*q = 372 + 2137. Which is the closest to q? (a) 1\/6 (b) 1.1 (c) -0.3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -308 + 98. Let z be m\/6 - 2\/4*-4. Calculate the highest common divisor of 703 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 73) + (-1 - -13) + -100.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*l - 35, 4*l - 5 = 5*p - 85. Let f(q) = 161*q - 111. What is the least common multiple of p and f(1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/4*o + 1\/4*o**2 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 11*r**2 - 9*r + 14. Let m be b(-10). Let p(v) = 2*v**2 + 6*v + 2. Let n be p(6). Suppose m*x + 6 - n = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**8*y**(-1\/8)*y*((y*y**(5\/6))\/y)\/y assuming y is positive.\nAnswer: y**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*1\/(-14))\/(-2*5\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 528\/5 in -2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -2\/3 (c) 4 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14757?\nAnswer: 3, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + x - x + (-2*x + 2*x + x**2)*(2 - x - 2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12554261 + 3?\nAnswer: 12554264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:11 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 + 2. Let t be p(-6). Let i = -2 - -4. Solve t = i*g - 0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 22*x - 270. Determine y(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/1153? (a) -1\/12 (b) -6 (c) 3 (d) -1\/5 (e) 2 (f) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 12 = 10*o. Suppose v = -4*y + 314, o*y - 168 = 3*v - 1142. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000 + 11011100?\nAnswer: 100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36285820 a multiple of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 422090\/703 greater than 601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:03 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10778, 10854, 10980, 11156, 11382?\nAnswer: 11658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98814 and 339721.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -12 in increasing order.\nAnswer: -12, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157476 smaller than 5157476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4700*b**2 + 4707*b**2 + 4706*b**2 - 14121*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 419*s**2 - 2344*s - 982172. What is z(-419)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296\/5 + -3668\/65. What is the common denominator of (-243)\/36 + -6 - -5 and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 0.1, -1.1, 15, 3, -8.7, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-9*c + 8*c - 5*c) + c + 0 + 0 - c + 4 - 3 + 1.\nAnswer: 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18832262 or 18832263?\nAnswer: 18832263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20 and -14\/103955.\nAnswer: 415820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/10)\/(5\/4) - 24\/30.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -531, -529, -527, -525, -523?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 11086\/920)\/((-4)\/32).\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/120 and -31\/74?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -317.774.\nAnswer: -1588.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237.9005 + -238. Let t = k + 0.1. What is t rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719946 divided by -6\nAnswer: 119991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 776987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 13*t + 29)*(1 - 3 + 0) - 9 - 5*t + 9.\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 690.5 - 691. What is the smallest value in 0.05, -1\/38, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100110101 - 2?\nAnswer: 100110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1041 + -1024. Let k(x) = x**2 - 3*x + 2. Let n be k(2). Suppose -3*s = -n*s - 21. Solve o = 3*r + 6*f - f, -3*r - s = -f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 603 and 6767?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1912332 by 4.\nAnswer: -478083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-435)\/143 - -4) + -1. Let n = -8848\/429 + h. Let c = 37\/6 + n. What is the common denominator of 79\/6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 - 191*v**2 + 580*v - 388 = 0.\nAnswer: -194, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + s + 4. Give n(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 226, 239, 246, 247, 242, 231?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*y - 0 - 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3744 or 3742?\nAnswer: 3742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49001, 97981, 146961, 195941?\n\"Answer: 48980*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/80 + n**4\/16 + 3*n**3\/8 + 5*n**2\/8 + 41*n + 2. Factor u(j).\nAnswer: -(j - 5)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 843648 and 8788?\nAnswer: 843648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1, -0.3, 3, 23269?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 25*j**2 - 326*j - 29. Let o be r(12). Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -970.69 + 971. Which is smaller: -0.9 or o?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473794?\nAnswer: 2, 236897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2125.1 + -2125.5. Which is the third biggest value? (a) -1 (b) z (c) -9\/16 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 665*l - 1274*l - 642*l - 1589*l + 249*l in the form o*l + z and give o.\nAnswer: -2591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 5*w)*(2*w**2 - w**2 - 3*w**2) + 3*w**3 - 4*w**3 - 3*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 - 7*g + 31. Give k(-8).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 1 + -3 + 1. Solve s*l + 1 = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(-2*j**2 + 2*j**2 + 2*j**3) + 2785*j**2 - 2785*j**2 + 3599*j**3 as u*j**3 + x*j**2 + m + s*j and give u.\nAnswer: 3605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*q + 142 = 0, -4*q + 7*q = 4*o - 113. Let k = 40 - o. Suppose 6*s = 5*s + 55. What is the highest common divisor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/5 (b) -1 (c) 35 (d) -11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-863117.\nAnswer: -863117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -11*z**5\/20 + 6*z**2 - z. Find the first derivative of v(n) wrt n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -573 - 7a1?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -36*b - 208. Determine v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 14. Suppose n = 2*t + 3*t. Calculate the remainder when 3*((-2)\/(-1) - 0) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/728)\/(9\/(-189)) + 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - b = -3*b - 2, -5*b = -4*u - 12. Suppose n + 2 = u*n. What are the prime factors of 204\/9*3\/n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/14 and -5\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5716 - 4607 = -256*o - 2643 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9)**(-3\/8)\/(g*g*g*g*(g\/(g**18\/g*g)*g)\/g*g*g\/(g*g*g\/g**17*g)*g) assuming g is positive.\nAnswer: g**(-51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12))**(-21)*p**7\/p**(2\/29) assuming p is positive.\nAnswer: p**(601\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 6*q**2 + 29*q - 29*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33470 (base 8) to base 9\nAnswer: -21346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -36 - 1. Let s = h - 31. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpegdgh. Give prob of sequence ge.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 156*l**2 - 1296*l + 1456 = 0 for l.\nAnswer: -26, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75480)\/192)\/85*8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130753949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 h, and 1 i when four letters picked without replacement from hzhhhiizizihh?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -12)*(-2 + 0). Suppose -4*f - n = 2*n - 39, -3*f = 2*n - 28. What are the prime factors of f\/8 - 582\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6262137 decades?\nAnswer: 75.145644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 384097 or 21?\nAnswer: 384097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-8)\/(16\/106). Is 32 a factor of (g - -23)\/((-1)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - 5*m**2)*(-4 - 3 + 5)*(-2 + 3 + 3 + (2 + 3 - 3)*(4 - 3 - 2))*(-1 - 1 + 3).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -21. Let q = -9 - n. Determine w, given that 6*w**2 + 8*w**5 + 2*w**2 - w**4 - 4*w - 6*w**3 - 7*w**q + 2*w = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p + 25*p - 50*p. Let b(n) = n**2. Determine b(v(w)).\nAnswer: 625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. Find the second derivative of -4*l + 6*l + v - l**3 - 3 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*u - 1356 - 5574 = -518*u - 460*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*d + 405759 = 126*d. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 121, 274, 483, 748, 1069, 1446?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5640, -4857, -4086, -3333, -2604, -1905, -1242, -621?\n\"Answer: -z**3 + 790*z - 6429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -65 - 1\/2*u**2 - 1\/2*u**4 + u - 2\/3*u**3. Calculate s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 21 = 9. Let w(x) = 76*x**2 - 8*x + 4. Let o be w(n). Suppose 5*u - 268 = o. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134101 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 3*s + 24. Is s at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*t + 109*t = -1602. Suppose 0 = l - 4*x + 2*x - 169, t = 5*l + x. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - -38. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 9*k**4\/16 + 119*k**3\/12 + 67*k**2\/4 + 6*k + 4113. Factor l(u).\nAnswer: (u + 1)*(u + 12)*(9*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 132841*m + 79 + 132932*m.\nAnswer: 91*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/((-84)\/(30\/5)))\/((-1)\/35)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2736) + 2 + sqrt(2736) + (1*sqrt(2736) - sqrt(2736)) + 4.\nAnswer: 6 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + 10. Let k(v) = v - 7*v + r*v. Let o(t) = 7*t**2 - 2*t**2 - 8*t**2 + 4*t**2. Determine k(o(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 328*f**2 - 7547*f + 61. Give b(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17512*a + 27 = -17553*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8938 and 1845?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/1*(3 + 98 + 8).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 2169148888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chh when three letters picked without replacement from chcccchccccccczh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/7 (b) 5 (c) -0.081 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 68518450.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 2 = -c. Suppose -4*a - 20 = 0, 0 = 2*s - s + 5*a + 19. What is the least common multiple of s and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - u - 15, -u + 7 = l - 2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (24 - 23) + -1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-9) - 2\/(-6). Let o(u) = -r*u - u**2 - 6 + 3*u - 4*u + 0*u. Let b = -179 - -174. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2279 = -5*o + 2227, -m + 4 = -3*o for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51431333.\nAnswer: 673, 76421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34813216 to the power of 1\/2, to the nearest integer?\nAnswer: 5900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 1. Let v(p) = -4*p - 1. Let z(h) = -h**3 - 37*h**2 - 158*h + 9. Let q be z(-5). Give q*v(a) - x(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1838?\nAnswer: -1\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 2 - 3)*(3718*c**2 + 24*c**3 - 1889*c**2 - 1861*c**2).\nAnswer: 120*c**3 - 160*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9)*n)**(-1\/26) assuming n is positive.\nAnswer: n**(-11\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -2) - (-56 - -54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 + v**3 - 3*v**2\/2 - 27*v. Let q be s(4). Suppose 2*a - 52 = -u + 1, 0 = q*u - 25. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = 2*f. Does 5 divide (-2 + -1)*22\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:44 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.7 and -0.08.\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230\/209 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45604012 and 1997256.\nAnswer: 273624072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/3, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**4 - 8*d - 3*d**2 - 2*d**4 + 12*d**3 - d**2 - 4*d.\nAnswer: 4*d*(d - 1)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141583571 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*x - 10, 5*x = -97*k + 99*k - 38 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34965 divided by -13?\nAnswer: 34965\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from {g: 8, f: 5, n: 4, j: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2282780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - x. Let v be p(-1). Suppose -4*w + 3 = -v*w - 3*m, -m = 0. Suppose 0 = -3*i + 18 - w. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmt when three letters picked without replacement from {t: 3, m: 12, y: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1012, -948, -870, -772, -648, -492, -298?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m - 98*m - 47472 = 746*m + 133*m for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223404253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1334 - -388. What are the prime factors of p\/27 - 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1313*d**5 + 21551*d**4 + 18*d**2 + 1035183*d wrt d?\nAnswer: -78780*d**2 + 517224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769579?\nAnswer: 769579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 5. Let u(j) = j**2 - j - 1. Let q(o) = o**2 + o - 3. Let f(x) = q(x) + u(x). Let z(v) = -5*f(v) + 4*k(v). Let h(a) = 79*a. What is z(h(l))?\nAnswer: -12482*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 8\/(-6))*0 + 2. Solve 0 = -3*a - 3*x + 16 + m, -5*x = 3*a - 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 6*g + 2. Let w be q(-6). Suppose 11*f = 9*f - 24. Let n be (5\/(-30))\/(w\/f). Let v(b) = -2*b**2 - b + 1. What is v(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -206 (b) -2\/9 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.56870115 to one dp.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i - i + (-5*i + 3*i + 3*i)*(-2*i - 2 + 2) + 3*i**2 - 2*i**2 + 0*i**2 - i**2 + 1 - 1 + (54*i - 58*i + 29*i)*(-3*i - 4 + 4).\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*t - 343*t - 114*t.\nAnswer: -542*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2493*k + 391368. Give t(157).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2 - (-1)\/2. Let q(j) = -j**2 + 11*j - 4. Let k be q(10). What is the greatest common factor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10190275976 and -0.23.\nAnswer: 10190275975.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 13*n + 14. Let k be y(11). Let a = -35 + k. Let b be -1*1 - (-5 + a). Calculate the greatest common factor of 33 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/4*72\/(-90). Let w = z - 11\/2. Factor w*s**3 - 1\/2*s**2 - 1\/2*s + 1\/2.\nAnswer: (s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1645\/(-294) + 2\/21)*2730\/(-231)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6250 and 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, -60, -63 in descending order.\nAnswer: 43, 2, -60, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 68.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80) - (-1 + sqrt(80) + 3)**2 - (0 + sqrt(80))*2) + -5*(2*sqrt(80) + 1 - (3 + 0 + sqrt(80) - sqrt(80)))**2).\nAnswer: -3408 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2705 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 33*i**2 + 559*i + 14039. Give m(-38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*b = -9*f + 165, -2*f + b + 77 = 0. Suppose 3*w - 99 = f. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.508 + 2.27. What is s rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.4 + -10. Let i = -10179 + 10179.9323. Let r = -0.0677 - i. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -j - 2*p, -5*j - 8*p = -3*p - 85. Suppose j*l = 9*l + 128. Let n be 8\/(-12) - l\/33. Which is bigger: n or -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - (-792)\/(-27). Let u = -24 - x. Are 6 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -211*o**3 + 721*o**2 + 13*o + 13103. Let b(v) = -105*v**3 + 333*v**2 + 6*v + 6552. Let q(f) = -13*b(f) + 6*s(f). Differentiate q(d) wrt d.\nAnswer: 297*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 20 + 55 - 15 - 14.\nAnswer: -3*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35353 is divided by 1290?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6738 is divided by 56?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 128. Suppose q - 313 = -2*g, j*q = g + 514 + 774. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 24 = -9. Let u be -3*(-2)\/(6\/x). Solve -2 = -l + 3*p + 3, 3*p = 5*l + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 204*u**3 + 2276*u**2 + 8316*u + 5832.\nAnswer: 4*(u - 27)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(13) + 2)*-5 - (sqrt(208) - (sqrt(208)*-1*-1)**2)*1.\nAnswer: 16*sqrt(13) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (-11 + 14 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 11. Let r = -13 - -27. Suppose r = 2*l + 3*t + t, 9 = 5*l - 3*t. Calculate the remainder when l is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c**5\/5 - 8*c**4\/5 - 1898*c**3\/15 - 148*c**2 - 80*c\/3 = 0. Calculate c.\nAnswer: -5, -1, -2\/9, 0, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724096 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1470)\/63)\/(96\/(-216))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148901 + 148900.13749. What is d rounded to two decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 200907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 2}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2 - 2)*(-11 + 3*r + 11).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - 22 = 0. Suppose 3*h - 5*s + 4 = 0, -2*h = -3*h - 3*s + d. Let v(m) = -4 + 2*m + 3*m - h*m. Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30924*a**3 + 33 - 33 - 31238*a**3 - 15703*a**3.\nAnswer: -77865*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/6 - 135*l\/2 - 435.\nAnswer: 5*(l - 87)*(l + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**6\/10 - 3*r**5\/20 - r**4\/2 - 7*r. Solve p(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let l(q) = -2474484*q + 1231547*q + 1231793*q. Determine l(a(g)).\nAnswer: 22288*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 260 + -183. Let c = 84 - z. Solve c*v - v = 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47, -2, 0.01?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -18*g**2. Let p(q) = 6*q + 1 + q + 1 - 2. Determine y(p(v)).\nAnswer: -882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.8 + -60.800000323. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2 - sqrt(1700)) + sqrt(17) - (sqrt(204) - sqrt(204)*3)\/sqrt(12) - -4*sqrt(68)\/(sqrt(108)\/sqrt(3)))**2.\nAnswer: -52*sqrt(17)\/3 + 2909\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -0.736. Let x = -0.0679 - i. What is x rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 26*s**2 - 44*s + 43. Let x be t(28). Let a = 10607\/28 - x. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4414\/57 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from ahjjbwjhhw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (4 - 14 - (133 + (5 - 8)))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-240))\/(871\/1809)*10\/(-6).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 5*j + 3. Let l(t) = 6*t**2 - 6*t - 4. Let f(v) = 5*b(v) + 4*l(v). Suppose r - 4*r = 0. Let g = r + 2. Determine f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28201390 is divided by 4028769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 14*a - 423. Let i be h(-11). Let w be -6*25 - -1*2. Is i greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b - -2?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2402 * 4\nAnswer: 9608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*t - 21. Let l(b) = b**3 + 14*b**2 - b - 8. Let k be l(t). Let h = 9 - 4. Solve -2*x + 3 = -h*c + 24, c = -3*x - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9616628?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(8\/11)\/(c**(-2)\/c))\/(c\/(c\/(c\/(c**40*c))*c))**4)**(-2\/31) assuming c is positive.\nAnswer: c**(-3690\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/10 - 3*n**5\/10 + n**4\/4 + 103*n. Suppose t(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.07 (b) -26\/5 (c) -613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*19\/126 - 18\/63.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3931, 3997, 4173, 4513, 5071, 5901?\nAnswer: 7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532.8 - 533. Let y = -612\/5 - -122. Put 1, i, -2\/3, y in decreasing order.\nAnswer: 1, i, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5132.7671 - -1.2329. Let v = -5133.9997191 + t. What is v rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1950 is divided by 638.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**2 - 3*j**4 - 8*j**4 - 3*j**4 + 10*j**4 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/31702673 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5*z**3 + 9*a**3*z**3 - 22*a*z**3 - 2*a*z - 2*z wrt a.\nAnswer: -40*a**3*z**3 + 54*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294643104 divided by -4?\nAnswer: -73660776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.8 (b) -5 (c) 5 (d) 43888\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - x - 4. Let z be v(3). Let t(l) = -z + 6 - 85646*l**2 - 7 - 5*l - 6021*l**2. Let c be t(-12). Round c to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 89*x**2 + 4 - 150*x + 59*x + 91*x.\nAnswer: 89*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3*x - 135*j**3 + 40*j**2*x**2 wrt x.\nAnswer: -j**3 + 80*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 1\/3 (c) 3 (d) 58 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 220802?\nAnswer: -220792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 9 = -v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/361 or 1?\nAnswer: 2\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -2*y**3\/3 - 4*y**2 - 4*y + 2. Suppose 20901*u - 20904*u - 2*g = 0, -32 = 5*u - 2*g. Calculate j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*s**2 - 37*s + 9*s + 23*s**3 + 27*s**2 - 8*s - 11*s**3.\nAnswer: 3*s*(s + 12)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52.96473 litres?\nAnswer: 52964.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 112, 169, 226, 283?\n\"Answer: 57*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = 3*m. Suppose 2*f - 4*b = 18, 3*f = 6*f + 3*b. Suppose -5*h + c = -2, -2 = f*h + 2*c - c. Sort m, 3, h in decreasing order.\nAnswer: m, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1576*r - 1194*r - 1303*r + 426*r + 593*r to p*r + h and give p.\nAnswer: -3054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121136 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 2*sqrt(720))**2 + -2 + (sqrt(5) - (-1 + sqrt(5))) + -2.\nAnswer: 6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raawongw. Give prob of picking 1 n, 1 o, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2\/5 - 362808*t\/5 - 283408928\/5 = 0.\nAnswer: -89914, -788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 14*m - 2. Give o(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d5 (base 15) in base 9?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) - (-8)\/(-21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 - 96135*p**3 - 768283344*p**2 + 30113304468*p + 30881491680 = 0.\nAnswer: -16042, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16891*d - 663746 - 814709 + 287023 - 835488 for d.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.52 - -1.12. Let g = 0.3 + -0.5. Let x = g - -0.4. Sort 2, x, s.\nAnswer: x, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10410 = 3*z - 3*b, -13874 = -4*z + 3*b + 2*b. What is the greatest common factor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 7, n: 11}. Give prob of picking 2 n.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 56736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Let f = 1 + -1.02. Which is the third biggest value? (a) f (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41445, -82506, -123167, -163428, -203289, -242750?\nAnswer: -281811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.040618204 and 481.\nAnswer: 480.959381796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-6)\/60*4\/(2412\/(-135))).\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -11c7a?\nAnswer: 11c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*y + s - 10, 16 = -4*y - 3*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104452*a**3 + 978*a**2 + 364703*a - 112?\nAnswer: 626712*a + 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5615, -11293, -17057, -22937, -28963?\nAnswer: -35165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 242280*g**3 - 2934737630*g**2 + 5870202120*g - 2935222205.\nAnswer: -5*(g - 1)**2*(g + 24229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t - 3108 = 0. Suppose 0 = 4*m - 3*i - t, -7*m + 3*m = -2*i - 1040. Let q = m - -1228. Round q to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8, 31\/225, 1123, -3 in descending order.\nAnswer: 1123, 31\/225, -0.5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 + 283. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 40, 254, -2.\nAnswer: -2, 40, 148, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7112206.91 to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1045 + 7.1045. What is the nearest to -0.2 in 0.1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*r + 30, 3*r = q - r - 25. Suppose -q*b - 64 = -5*b. Let t be b + -1 + 4 - -2. Which is smaller: -12 or t?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -40*n**2 + 20*n + 20. Let a(l) = -l**2 + l + 1. Calculate 20*a(p) - t(p).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8671 (base 12) in base 3?\nAnswer: -202021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*z - 3. Find the third derivative of 17*a**3 - 10*a**2 - 23*a**3 + z*a**2 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1135 - 2675*m + 2675*m - 682*m**2 - 1134 + (-2 + 3 + 1)*(m**2 - 2*m**2 + 0*m**2).\nAnswer: -684*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) + (sqrt(114) - (-2*sqrt(114) + sqrt(114)) - sqrt(114))))\/(sqrt(294)*3).\nAnswer: 8*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 2*l - 8. Calculate the remainder when 14 is divided by a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3124 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - 30\/7. Let l = 2823 + -2822.9. Sort -1\/5, l, x, 1\/6.\nAnswer: x, -1\/5, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 d when four letters picked without replacement from daadaaaaaaaaa?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 4*s**2 - 78*s + 160. Let n be t(2). Solve -15 = -n*h + 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/7, 1\/209, 0.11, 12, 0.5 in descending order.\nAnswer: 12, 4, 0.5, 3\/7, 0.11, 1\/209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 0*t - t + 5*t**2 - 12*t**2 - 8 - 6*t**2. Let b be g(-13). Solve b*q + 5*h = -10, -2 = q + 6*h - 2*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:47 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 1. Let g = 4.01 + -0.01. Which is the second smallest value? (a) l (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/24*1\/5*6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-7 - -3) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/34 and 48\/2125.\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 - 4*n**2 - 44*n**2.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * -58\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 2 (c) 0.3 (d) -3 (e) 2.9 (f) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6953 and 88857704?\nAnswer: 1510580968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose -5*d - 2*v = -6*v - 65, -5*v = c. Suppose -t - 49 = -2*u, 3*t = -4*u - 0*t + 113. What is the greatest common divisor of d and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, 1 a, and 1 n when four letters picked without replacement from znqjgja.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/3 - 10*i**4\/3 + 16*i**3\/3 - 8*i**2\/3.\nAnswer: 2*i**2*(i - 2)**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5329 and 1241?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3))**(-4\/5))**(-1\/30) assuming j is positive.\nAnswer: j**(-4\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2999 = 2*a, 0 = z + 2*z + 15. Let v = a + -1045. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 473 - 363. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2469 divided by 738.\nAnswer: -823\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 3, 1, -1 in descending order.\nAnswer: 3, 1, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 9) + 0 + 4 + -6 - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 = -2*g. Let z be 112\/32 - (-2)\/g. Which is the third smallest value? (a) -5 (b) 0.09 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:20 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4406 + -4409. Let q be 831\/2*(-6)\/(-9). What are the prime factors of 0 + (l\/1 - -7) + q?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167226378 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947484 rounded to the nearest 10000?\nAnswer: 4950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 + 2*h**2 + 2*h - 3. Let y(m) = -m**3 - m**2 - m + 1. Let n(w) = v(w) + 4*y(w). Let q be n(-4). Let k = q - -86. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let x(f) be the third derivative of -f**4\/12 + 9*f**2 - 1. Let t(m) = 3*n(m) + 2*x(m). Suppose 2*v - 5*i = -3*v + 15, 5*i = 0. Give t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.75 - 1.15. Let x = -0.08 + 0.14. Let h = x - -0.34. What is the third biggest value in -0.3, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 4. Let v = -126.784 + 1.884. Let r = -125 - v. What is the fourth smallest value in 1\/2, r, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43095 - -65686. Is 63 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + -1*(0 + sqrt(539))*5*-6 + 0.\nAnswer: -1 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2829 is divided by 272?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-8 - -4)\/(-4). Let r be 7 + -2 + o\/(-1). Solve -r + 1 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.027 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g - 10. Let z be t(10). Let i = 299 - z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-125)*(-890)\/(-4). Let m = 36 + j. What is the closest to m in -4\/5, -1, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316 and 1738.\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -7*w + 225. Let i(j) = w - 54 - j. Let p(x) = 10*x. Give i(p(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - -123. Suppose -3*d = 257 - w. Solve 2*f + 2*f - 8 = -d*b, 2*f - 12 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.22, -2\/3, 7792, 2\/17, -2\/17?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 2*o**7\/735 + 59*o**6\/210 - 61*o**5\/105 - 59*o**4\/42 + 40*o**3\/7 - o**2 - o - 78. Let g(d) = 0. Calculate d.\nAnswer: -60, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1491064\nAnswer: -447319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*u - 5, -2 = h - 2*u + 3. Solve 2 = -3*b - 2*a - 4, -h = 2*b + a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*l + 64*l - 52*l - 36019 - 219*l + 36019 + (2 + 0 - 3)*(0 + 0 - 2*l) + 0*l - 3*l + 5*l + 3*l + l - 2*l + (1 + 1 - 4)*(-l - 2*l + 2*l).\nAnswer: -265*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z + 5. Let h(l) = 28*l + 16. Let o(i) = -5*h(i) + 16*k(i). Let g(x) = 3*x. Calculate o(g(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 + 221 + 18 = -174*p - 614 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229 a factor of 21983957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43735 + -43736. Put 2, n, 4, 3, -10 in increasing order.\nAnswer: -10, n, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**9\/12096 - m**8\/6720 - m**7\/672 - m**6\/480 + 19*m**3\/6 - 3*m + 2. Let v(b) be the second derivative of k(b). Factor v(y).\nAnswer: y**2*(y - 3)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*h + 6, 4*p = 5*h + 20 + 6. Suppose 0*g - 3*d + 89 = g, -2*d = -p*g + 398. 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: What is 328 minutes after 6:48 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 1712.\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*(696\/2030 + (-1)\/7). Which is smaller: -35 or a?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 + 3*u + 9. Let q(p) = -5*p**2 - 3*p - 10. Let w(y) = 6*d(y) + 5*q(y). Let n be w(4). Suppose v = -2*v + 6. Solve n*x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + 2 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1333\/11 + -121. Let t = -500 - -3502\/7. Let f = -0.011 - -0.411. Which is the second biggest value? (a) x (b) f (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 327*c - 1008.\nAnswer: 3*(c - 112)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**2)**15)**(-1\/2))**(-31) assuming m is positive.\nAnswer: m**(1395\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 31*y + 18 = 0. What is the units digit of -2*(y - 7) - -203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 22161951?\nAnswer: 22161951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Suppose 3*f - r - 6 = -1, 4*r - 6 = -f. What is the units digit of q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:26 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, u: 1, f: 3, j: 3}. Give prob of sequence ufj.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 2162\/(-23)) + -72?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 14*k**2 - 13*k - 2. Let r(s) = s**2 + 2*s - 61. Let t be r(-8). What is q(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 2, g: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-35)*5)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2783122985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z + 14. Let c be d(7). Suppose 2*x - t - 62 = t, 4*x - 3*t - c = 0. Factor 36*q - x*q**2 - 17 - 10*q**5 + 5 + 3*q**3 + 7*q**5 + 9*q**4.\nAnswer: -3*(q - 2)*(q - 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - d + 33 = 17, -9*x + 3*d = -8*x + 37 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 140 = 10*x. Calculate the least common multiple of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 + 345. What are the prime factors of g?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 46 and 471\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3\/4 (c) -4076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 16*v**2 - 18*v - 10. Let h be d(-17). Let j be h*(0 + (-40)\/(-28)). What is the highest common divisor of j and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 23. Let n be x(-14). Let h(o) = -3*o + 15. Let a be h(n). Solve 4*m - m - 6 = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:47 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16318858*j**2. Let u(b) = 9*b**2. Determine o(u(m)).\nAnswer: -1321827498*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2722143 + 0.07402.\nAnswer: 2722143.07402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47676 divided by -5.\nAnswer: 47676\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10 = 4*d, -c = -4*d - 131 + 128 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28157407 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137419936 * -2.\nAnswer: 274839872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 28 = -2*t - 5*j, -2*t = -j - 23. Let x be (-2)\/1 + t + -3. Suppose 0 = -5*a + 10, g = -0*g - a + x. Sort g, 1, -5 in increasing order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -577 - 2*m**2 + 1192 - 615. Let z(p) = 24906*p**2. Determine k(z(q)).\nAnswer: -1240617672*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 51 + 11 = 0. Solve -h - 3*f = z, -4*h - 3*f - 2 = -0*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -209, -258, -303?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12351*h - 109753. Calculate t(-9).\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 0*b**2 - b - 4*b**2 as z + n*b**2 + u*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -21. Suppose 3*x - 343 = -d, -k*x - d = -3*d - 557. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:01 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, -2\/17, 0.2 in descending order.\nAnswer: 42, 0.2, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 20*s**2 - 34*s - 33. Let x(a) = 3*a**3 + 12*a**2 + 22*a + 21. Let w(i) = 5*p(i) + 7*x(i). Determine w(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 2*b + 6. Let y be w(2). Is y\/8*2 - (-10086)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260113 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 24*y**2 - 531*y + 61. Let t be s(22). Which is the fourth biggest value? (a) -3 (b) 4\/3 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-21\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300 + 22230213?\nAnswer: 22233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2374468110 to the nearest 1000000.\nAnswer: -2374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0001 - 0.4001. What is the third smallest value in -4, w, 4\/7, 10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 12, x: 1, n: 1, t: 1}. What is prob of sequence nl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/3, 4.7, -6, 2.2, -0.08?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11278*i - 11462*i - 2436 - 2716 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f - 132. Determine b(17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:05 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 14. What is the second smallest value in m, 1\/4, 1\/6, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4792 - -9706. Is c a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (39452\/42)\/(-2)*(-1 + -8).\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/7, 12 in descending order.\nAnswer: 12, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 28.4047ng?\nAnswer: 0.0000000000000284047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 559 = 5*v. Let l = 365 - 364.5. Which is the smallest value? (a) v (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(((z\/(z**(-6\/7)*z)*z)\/z)\/z*z)\/z)\/((z*z\/z**2*z)\/z)*z**(-3\/4)\/z**(-2\/11)*(z\/(z*z**(-3\/2))*z**(-8)*z*z)**(-49) assuming z is positive.\nAnswer: z**(68003\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478 + -488.65. Let x = -11 - y. What is x rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**4\/8 - 4*z**3\/3 - 3*z**2. Let n = -19 + 13. Let t be s(n). Solve -t = v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32202130 (base 4) to base 2\nAnswer: 1110100010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = i + i. Suppose i*q - 19 = n, 2*n - 5*q = -q - 20. Let w be 272\/1148 + n\/14. Is w less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1330*f. Let y(t) = t**2. Determine z(y(n)).\nAnswer: -1330*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 14 + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -233, -230, -229, -230, -233?\n\"Answer: -c**2 + 6*c - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-5 - -2)\/3). Let l be (-3)\/w + (-318)\/(-12). What is the highest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 + 4*b - 1. Let g(v) = v**3 - 2*v**2 + 3*v - 3. Let s be g(2). Determine u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38383 and 27?\nAnswer: 1036341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d + 7. Suppose 0 = -20*t - 30 - 10. Let y be p(t). Suppose 1\/2*k**2 + 0*k + 0 + 1\/4*k**4 - 3\/4*k**y = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (186\/62 + 2*8 + -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b2b0 (base 13) in base 7?\nAnswer: 131601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Suppose -b + 29 = 2*i, -i + 72 = 2*b - 4*i. Let t(m) = -b*m**2 - 19*m**2 + m**2 + 6*m**2. Give t(h(a)).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 0*y - 2*y + 5*y + y - 4*y + 2*y - 4*y + 0*y + (3 - 3 + 1)*(y - 2*y + 0*y))*(-4 - 3*y + 6*y + 3).\nAnswer: -24*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 93b78 (base 12) to base 15\nAnswer: 3c4de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2193986 and -622.83.\nAnswer: -2194608.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*d = -t + 63, -d = 0. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 383, 308, 207, 80, -73, -252?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32742 - -982349\/30. Is 4 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*f - 30, 8 + 28 = 4*f + 2*h. Calculate the highest common factor of 430 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8c65d (base 14) in base 9?\nAnswer: 570421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-7))\/(485\/(-679)). Solve 0 = -c + 4*t - 13, -p*c - 2*t + 26 = 3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2)*u)\/u)\/u)**(-9)*((u**(-7)\/u)\/u)\/u**7*((u*u*u\/(u\/(u*u**(-4\/7)*u)))\/(u*u**(3\/2)))\/((u\/u**6)\/u**6) assuming u is positive.\nAnswer: u**(195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u + 26*u - u**3 - 3*u.\nAnswer: -u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*t - 42, -2*t = 2*y - 10 - 52. Suppose -l - y = -36. Calculate the greatest common divisor of 6 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 683, 1490, 2621, 4076, 5855?\nAnswer: 7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104348217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 1011 = -4*u + 761, 5 = -3*u - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -291. Let w = 134 - b. Sort -2\/11, w, -0.1 in decreasing order.\nAnswer: -0.1, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 1. Let c(t) = 842*t**2 - t - 8. Give c(l) + 7*s(l).\nAnswer: 835*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, 1 n, and 1 j when four letters picked without replacement from {o: 1, k: 1, j: 1, r: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 2*w + 7*w - w with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -10327 in increasing order.\nAnswer: -10327, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let w(f) = 61457884*f. Calculate w(m(c)).\nAnswer: -61457884*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spkbgks. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/(-3))*12\/(-144)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138568850219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*o + 13*o + 6*o**4 + (4*o**2 + o**2 - 7*o**2)*(0*o**2 + 2*o**2 - o**2) + (-2*o**3 - 3*o**2 + 3*o**2 + 2*o)*(3*o - 1 + 1).\nAnswer: -2*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(2) + -4) - (sqrt(2)*-2*-4 - ((sqrt(12)\/sqrt(3))\/sqrt(2))**2).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(132\/(-18)))\/(6\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 2*i**2 - 8*i**2 + 1 + 2*i**2 + 3*i**2. Let s = -95 - -77. Let u be 11 + s - 2*-3. Let w(y) = -2*y**2 + 1. Calculate u*o(c) + w(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:30 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 * 9\nAnswer: -11.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2798 - -3077. Suppose 2*u - 41 = 21. What is the highest common divisor of p and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - l - 61124 = -61112, g + 0*g = 9*l - 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -366 + -273. Let x = 651 + n. Solve 3*v - 2*w - w = x, -5*v - 2*w - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 514590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 21*i**5\/20 + 23*i**4\/4 - 60*i**3 - 54*i**2 + 191*i. Factor b(w).\nAnswer: 3*(w - 3)*(w + 6)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3599*n - 92213. Determine c(26).\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032 - -1032?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 281941344 divided by 9\nAnswer: 31326816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -101021022?\nAnswer: -101021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:02 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*4\/48*3. List the prime factors of h*10*3\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 + 6*x - 2. Suppose -3*a - 16 = 2*n - 4*n, 5*a = n - 29. Let c be v(a). Is c at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*y = -23 - 6, 0 = -2*k + y + 58. Let t = k + -25. Calculate the highest common factor of t and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 16, x: 4}. Give prob of picking 2 u and 2 x.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 0*d**4 + 3*d**4 + (-2*d - d + 4*d)*(0*d**3 + 4*d**3 - 3*d**3) + 2*d**4 - 3*d + 3*d - 7*d**4 - 17*d + 17*d - 20*d**3 + 20*d**3 + d**4 - d.\nAnswer: -4*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Suppose 5*m + 0*m - 5 = i, 67 = 3*y - 2*m. Let o = 10 + -2. What is the remainder when y is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 + 2*z - 1. Let t be c(3). Suppose 3*r = -2*j + 6 + t, 4*r - 3*j - 146 = 0. What is the greatest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*76\/380.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 7\/27 (c) 1\/12 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 421878\/(-395595) + -11 + 13. Let s = u - 2\/8791. What is the smallest value in -1, s, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -510, -1045, -1794, -2757?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2439630.6 - 17908.6. Let o = -2421721.4000142 + x. Let y = o - 0.6. Round y to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -57*a**7\/70 + 61*a**5\/60 - 7*a**2 + 2*a. What is the third derivative of k(o) wrt o?\nAnswer: -4104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 2, r: 1, n: 5, u: 8}. What is prob of picking 2 n, 1 e, and 1 r?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -176, -6, -60 in decreasing order.\nAnswer: 3, -5, -6, -60, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 5*y + 2. Let i be 136\/36 - 2\/(-9). Let u be (1\/3)\/(i\/60). Suppose u*f = f - 5*a - 3, -12 = f + 5*a. Calculate w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 - 22*t**2\/3 - 875*t + 882.\nAnswer: (t - 63)*(t - 1)*(t + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -100*g - 648. Let b be y(-7). Solve 8*v - 108 = -b for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 2\/15, -0.3, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*z = -15124, -6*n = -8*n + 4*z + 15126. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 21. Let j be s(27). Suppose -5*n = -2*v + 6*v - j, 2*v + 2*n - 24 = 0. What is the remainder when 130 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -36, -45, -78, -147, -264, -441, -690?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooowoowo?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14005958 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-4 + (-5 - -17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z. Let c be j(2). Suppose 4 = 2*y + s, -3*y - 2*s + 4 + 2 = 0. Let r(p) = p + y*p - 2*p. Determine r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - 27*r - 2. Let m(u) = -8*u**2 + 30*u + 1. Let w(d) = 6*m(d) + 7*z(d). Suppose 4*f + 3*f = 70. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263 * -4329.1.\nAnswer: 1138553.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -672, -1030, -1390, -1752?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 - 2130*f**4 + 378075*f**3 = 0?\nAnswer: 0, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 14*a**2 - a**2 + 5*a**2. Let y(w) = w**2. Determine y(m(u)).\nAnswer: 169*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*c**2 + 3*c - 3*c - c**2 + 0*c + 0*c + (-c - 2*c + c)*(-1 + c + 1).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*u**3*w - 9971*u**3 - 13*u**2*w + 14*u*w + 2*u wrt w.\nAnswer: 4*u**3 - 13*u**2 + 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642469 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 1, t: 5, w: 10}. What is prob of picking 3 w and 1 l?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -83 + -36 + -8 + 4?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*-7*29\/(8120\/(-16)). Solve -11\/5*c - s*c**3 + 7\/5*c**2 + 1 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28561824 to the power of 1\/2, to the nearest integer?\nAnswer: 5344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1e1?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 + 249. What is the closest to j in 2, 42, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.6 + 1.6. Let f = o - -71. Suppose 4*l - 1 = a + 2, a = 5*l - 3. Put -0.8, f, a in ascending order.\nAnswer: f, a, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 27676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 864, 865, 866?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 301333122 (base 4) to base 13\nAnswer: 7227c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18315539 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 1608 (c) 5 (d) 32 (e) 0.1 (f) 6\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgg when four letters picked without replacement from {z: 2, s: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 3*b**2 + 12*b + 34. Let m be d(-5). Find the common denominator of (90\/m + -3)\/(516\/616) and 55\/12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 236 - 232. Sort -1, -12, d.\nAnswer: -12, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/146*(18 + -3)\/(108\/40) and 35\/18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(25)\/sqrt(5)*-6 + 4 + sqrt(5) + 1)**2.\nAnswer: -40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78218609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19308 - -622. Let z = -837005\/42 + t. What is the common denominator of z and 43\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 - -315. Let d(m) = -m**3 - 18*m**2 - 10*m + 2. Let l(u) = 3*u**3 + 50*u**2 + 29*u - 6. Let g(v) = 8*d(v) + 3*l(v). What is g(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/160 + 3*z**4\/32 + z**2 + 19*z. Suppose b(l) = 0. Calculate l.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -74702, -149402, -224102, -298802, -373502, -448202?\n\"Answer: -74700*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -86*s + 873. Calculate q(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l + 2. Let q(o) = o + 2. Let g be q(l). Let y be (g - 2) + 0 + -2. What is the highest common factor of y and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/3 - 124*d**4\/3 - 932*d**3 - 28304*d**2\/3 - 122434*d\/3 - 50700 = 0.\nAnswer: -25, -13, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:03 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*u = u - 3, -f - 17 = 5*u. Calculate the smallest common multiple of 86 and f.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*y - 14. Solve -2*a = -x - 3, -x - 3*x = 4*a - y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*v + 21 = 0, -v - 9 = -4*g - 0. Let j = -192 - -320. Suppose -25 = -g*c + j. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152498791 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 1017 - 147. Suppose -22 - l = 4*s. Round s to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Suppose a - y = 14. What is the remainder when 33 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -94\/98837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1000)\/(-32) + (-1)\/4. Suppose 5*o = 61 - i. Solve -4*x + 2*x - o = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, 100, 150, 200, 250?\n\"Answer: 50*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 7 + 4)*(h**2 - 8*h**2 + 2*h**2)*(2 - h - 2).\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -678, -1326, -1948, -2544, -3114?\n\"Answer: 13*s**2 - 687*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1203, 3955, 8263, 14127, 21547?\n\"Answer: 778*q**2 + 418*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:59 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - 2 - (-67 - -21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + 4*t - 6. Let w be f(5). Let d be (-2)\/9 + w\/27. Suppose d = 2*q - 4. Let b(s) = s**2 - 2*s - 4. Calculate b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t = -377 - 129 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 33 = 13*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.2 - 6.1. Let g = h + -8. Which is the biggest value? (a) g (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -1\/19 (b) 1\/2 (c) 2\/21 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 5897527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -80. Suppose x - 2*c - 18 = -0*x, -h*x + 1 = 3*c. Calculate the greatest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 1061*x + 7 = m - 1062*x - 18, 3*x + 20 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 150 (c) 2734 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 837*t - 1 - 3385*t in the form l + j*t and give j.\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 126*j. Let v(a) = -a**2. Calculate v(i(w)).\nAnswer: -15876*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050099.\nAnswer: 3, 350033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5.3 (b) 4 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -458 - (-2 + -5) - 0. Let g = -487 - o. Put 6, 5, g in decreasing order.\nAnswer: 6, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -307181.2 to the nearest 1000.\nAnswer: -307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*n + 67*n + 68*n + 11*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-20))\/(1\/(-15)). What is the units digit of 1 + 798\/o + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*t + 20*t**4 - 534 + 360*t**2 - 138 + 199*t**3 - 99*t**3 - 68*t**4 + 4*t**5 = 0 for t.\nAnswer: -2, -1, 2, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-6))\/(-4))\/((11524\/201)\/86).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*j**2 - 31*j**2 + 64*j**2 - 3 - 25*j)*(2 + 3 - 24 + (0 + 1 + 2)*(-1 - 1 + 0)) to the form a*j + f + k*j**2 and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = r + 2, -4*r - 88 = -4*b. Let f be 20 + r + (1 - 0). Suppose 4*v - g = -3*g + 448, f = -2*g. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h - 53*h - 43*h = 0, 0 = 4*v - 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030469001 to 5 decimal places.\nAnswer: -0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -3 + 1 + sqrt(5) + sqrt(5) + sqrt(80) + (1 + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80).\nAnswer: -1 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -12*p. Solve -2*s - 2*h = -3*h, p = -5*s + 4*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224528 and 3136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -244.\nAnswer: 5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -273, 253, 2341, 6771, 14323, 25777, 41913, 63511?\n\"Answer: 130*d**3 + d**2 - 387*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188 = 173787*f - 173751*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 - t + 2. Let s be f(2). Let r = 137 - 73. Calculate the highest common divisor of s and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -10?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12107, -12105, -12101, -12095, -12087, -12077?\nAnswer: -12065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16268)\/(-12) - (-3 - 15\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-4))\/(-5)*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 480 = 2*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Let w(m) = 4148*m + 1372*m - 1237*m. What is w(a(r))?\nAnswer: 8566*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b + 20. Let o be (9\/(-24))\/((-53)\/(-424)). Determine r(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 + -11871.36?\nAnswer: -11871.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172817?\nAnswer: 43, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 = -0*o + 5*g, -5*g - 1 = -3*o. Suppose 4*i = -4 + 20. Suppose 5*k = -5, 3*k = -i*l - k. Sort o, l, 4 in increasing order.\nAnswer: l, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 41. Let o be (3*-16)\/(-3) + (-3 - -2). Suppose 6*h - 3*h = o. What is the remainder when n is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2665 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2480 and 244880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1116465 and 3?\nAnswer: 1116468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510325 (base 9) in base 10?\nAnswer: 1364954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*q + 21, -6*f + 2*f = -20. Let v be q\/6*2 + 3. Suppose -y - 1 = -2*r + 3, -2*y + r + 4 = v. Put -4, -5, y in descending order.\nAnswer: y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430456497 to the nearest integer?\nAnswer: 20747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21059\/3 + 7007. Which is the nearest to 1? (a) -1\/10 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 2\/7 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -103. Suppose -n - n + 8538 = z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.96. Let i = 0.03999997 - j. What is i rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-582)\/24 - (-1)\/4. Let n = o - -54. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let r(p) = -p**2 - m*p**2 + 4*p - p**3 - 2*p. Give r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 25264.2 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 3 in descending order.\nAnswer: 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021567 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -1.1. Let x = d + 0.9. Let v = -2.21 - -1.21. Which is the nearest to -3? (a) v (b) x (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {r: 2, k: 5, a: 8}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/63 - 62\/14. Let p(m) = -2*m**3 - 4*m**2 - 6*m. Let t(y) = y**3 + 3*y**2 + 5*y. Determine k*t(u) - 3*p(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963052, 3852189, 8667410, 15408715?\nAnswer: 24076104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, h: 12}. Give prob of sequence hh.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 2243*c**2 - 2 + 29*c - 2225*c**2 - 25*c as w*c**2 + h*c + q*c**3 + t and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**3 - 1688*a**2 - 335*a - 618. Determine h(169).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 65 = 143 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -79355.\nAnswer: 5078720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*c + l, 8*l + 24 = c + 10*l. Calculate the remainder when 57 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*o. Let b(i) = -i**2 + 10*i - 6. Let f be b(9). Does 24 divide 24*(f - o - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/21 - 4\/6. Suppose r*w + 4 = 2*w. Let t be -4 + w - (1 - 9). Solve -5 = x - t*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25967798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -53*y - 3648. Let a be i(-69). Solve a*w - 10*w - 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 66043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28*v. Let q be t(3). Suppose p + q = 4*p. Let d = 183 - p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3732, 7179, 10624, 14067, 17508, 20947?\n\"Answer: -f**2 + 3450*f + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*-1*-6) - sqrt(77)))\/(-2*sqrt(7)*-1*-6)*4.\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 6*x**2\/5 + 4*x\/5.\nAnswer: 2*x*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0486 - -5.361. Round d to one dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 272 - 5391?\nAnswer: -511b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -1753, 0.3, -149, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544225979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(14\/9)*(q**(5\/6)*q)\/q assuming q is positive.\nAnswer: q**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 800 - 531. Does 0 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8*b - 4*b = 0, 4*z = 4*b - 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 35*o + 32. Calculate c(-9).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2949 + -2951. Put o, -0.16, 4, 1 in ascending order.\nAnswer: o, -0.16, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*m + 12, w + 0*w + 12 = 2*m. Let x be (-8)\/(-1) + -9 - -2*2. Solve x*h + m = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*w**3 - 475*w**3 - 2340*w**3.\nAnswer: -3664*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-9) + (-78)\/(-27). Is 3*((3 - s) + (-2179)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.001 and -0.1269349?\nAnswer: 0.1279349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s + 32 = -626 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10*(-2 - -162). Let r be (l\/(-6))\/(1\/27). Suppose 3*f - 296 = -5*a - 0*f, -5*a + f + r = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 1817. Calculate the highest common divisor of 110 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46982 + 2*g - 46982.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n + 77 + 82 - 235 + 76.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -987095 (base 10) to base 5\nAnswer: -223041340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62004425 (base 7) to base 4.\nAnswer: -103300030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -62.3. What is the closest to 1\/3 in 8, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5db - -29?\nAnswer: -b5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(-7)\/(-35)*25\/(-10). Solve -10 = -16*o + m*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8888*t - 89306. Calculate f(10).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.019, -2\/3, 7, -2\/9?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4581*h + 4502*h - 474 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/2 + -3 + (-111)\/(-18). Which is the third smallest value? (a) z (b) -2\/9 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*a)*(-2*a + a - a) - 62 + 1270*a**2 + 8 + 51 in the form g + u*a**2 + q*a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 595873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.2439l to millilitres.\nAnswer: 232243.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*g**2*w**4 - 3*g**2*w - 2*w**4 - 11*w**3 + 600*w**2 wrt w.\nAnswer: 720*g**2*w - 48*w - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k + 88*k + 32240 = 0. Is 31 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175256.72 rounded to the nearest one thousand?\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 237, 220, 283, 474?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(5445)*-1)\/((sqrt(108)*2)\/sqrt(12) + sqrt(9) + sqrt(27)\/(sqrt(3) + sqrt(3) + sqrt(3)*-1)).\nAnswer: 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*6477\/508\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -966*v + 971*v + 760. Let d = v + 192. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 464, -2, -0.4, -5, 0.5 in descending order.\nAnswer: 464, 0.5, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, 19 in increasing order.\nAnswer: -8, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 385, 591, 805?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/70)\/(-9 + (-172)\/(-20))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 93, 220, 409, 666?\n\"Answer: t**3 + 22*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*r + 5*r**2 - 5 - 40*r.\nAnswer: 5*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 3*l**2 - l - 1 + 3 - 6*l**2. Let r(t) = -4*t**2 - 3*t**2 + 13*t**2 - 5*t + 2 - t**3. Let o be r(5). Determine x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2625 + -2650. Let y(f) = f**3 + 26*f**2 + 26*f + 34. Calculate y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 3, x: 2}. What is prob of sequence xk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/180 + 2\/(-18). Suppose -z + 1 = 4*y, -4*y = 2*z + 2*z - 16. Let n = -2 - y. What is the third smallest value in n, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*o = 21, 32 = 14*s - 19*s + 4*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/2236 + 6 + 6330\/(-1105)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.1. Let v(u) = 6*u**2 + 15*u - 16. Let r be v(1). Let h be r - (-2 + (4 - 0) + -1). Put h, b, 0 in decreasing order.\nAnswer: h, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33879 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -23. Let y = 3.057 + -1.057. Which is the nearest to y? (a) w (b) 2\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -56*b**4 - 12*b**3 + 52*b**2 + 60*b. Let j(z) = 13*z**4 + 3*z**3 - 13*z**2 - 15*z. Let m(y) = -6*i(y) - 26*j(y). Determine w, given that m(w) = 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1103323010 (base 5) to base 13\nAnswer: 6611aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from hllnnlhhhhedh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 40.11 (b) 3 (c) 0.6 (d) -2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 3, z: 3, w: 3, s: 1, n: 2}. What is prob of sequence cn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 2. Suppose -42 = -v - 5*y, -3*v - y + 102 = 88. Let g(z) be the second derivative of -1\/12*z**4 + 24*z + 0*z**3 + 0*z**v + 0. Give g(a(n)).\nAnswer: -16*n**2 + 16*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(104) + (sqrt(104) + (sqrt(104) - (sqrt(104)*-2*6 - sqrt(104))) - sqrt(104)))\/(sqrt(56)\/(-3*sqrt(63))*-5).\nAnswer: 108*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Suppose -2*o + 22 - 4 = i. Let h be 2 + (-5)\/((-15)\/o). Solve f = -h*p - 7, -4*f = -p + 2*p + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 135\/((-6)\/2). Suppose 3*d - 6*d + n = 0. What is the greatest common factor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 406329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(612) + -1*sqrt(612))*5)**2 + 4 + (1 + 5*sqrt(612) + sqrt(612))**2 + sqrt(612) + 3 + 0.\nAnswer: 78*sqrt(17) + 22040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2024845 divided by 404969.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r = 214 + 171 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -25*x**3 + 280*x**2 + 19042*x - 6. Let k(l) = -88*l**3 + 842*l**2 + 57125*l - 21. Let b(i) = 2*k(i) - 7*t(i). Determine v, given that b(v) = 0.\nAnswer: -138, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**5\/60 + 11*h**4\/24 + 8*h**3\/3 + 3*h**2 + 84. Let v(q) be the second derivative of j(q). What is v(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 14. Let m be d(7). Calculate the smallest common multiple of (-72)\/96 - m\/4 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/7, -5\/27, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4475 is divided by 195?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b (base 12) in base 8?\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*q + 14*i = -106*q + 293, 94 = 2*q + 4*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -4495, -4, -1, 45 in decreasing order.\nAnswer: 45, 4, -1, -4, -5, -4495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let o be d(2). Let f = -1\/1456 - -213\/7280. Put o, -2\/7, f in ascending order.\nAnswer: -2\/7, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2162 + 2202. What is the closest to 1\/4 in t, 1\/7, -3, -19?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 980?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 13. Suppose -s*q = -14*q + 95. Calculate the remainder when 56 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89218 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**3 + r**2 - 3*r - 2. Let j(p) = 24*p**3 + p**2 - 5*p - 3. Calculate 5*g(o) - 3*j(o).\nAnswer: -12*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 15. Suppose j - 27 = -22. Suppose -3 = j*k - 8. Which is the fourth smallest value? (a) k (b) 4 (c) -1\/8 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/u**(6\/23))\/u)*u)\/u)\/(u*u*u\/u**24) assuming u is positive.\nAnswer: u**(535\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*v - v + 136. Calculate the lowest common multiple of v and 1106.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621473 take away 2303717?\nAnswer: -3925190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 674 - 702. Let m(g) = g + 8. Let l(a) = -1. Let q(f) = -4*l(f) - m(f). What is the smallest common multiple of 9 and q(b)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)\/(3\/183). What is the hundreds digit of (i\/2)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z - 13 = -48*z - 43. Put -12, z, 75 in descending order.\nAnswer: 75, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/351 and -61\/270.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = -6. 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 f = 102 + -67. Suppose 4*h = -0*t + 3*t - f, -5*t + 10 = 3*h. Suppose -5*u + 4*u + 14 = -t*v, -11 = 5*u + 2*v. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + 0.19. Which is the second biggest value? (a) -2\/13 (b) j (c) -0.1 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 544\/(-51). What is w in 8*w**2 - 3*w**4 + 7*w**2 + z*w + 0*w**2 - 2*w**4 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*7\/(-84)*1\/22*(-62)\/(-124)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223.143m in kilometers?\nAnswer: 6.223143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888265 is divided by 4615?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 divide 169803120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a + 8646. What is w(97)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103.6 + 104. Which is the third biggest value? (a) z (b) -2\/3 (c) -1\/2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - y + 233 = 0, -4*y = 2*h - 3*h - 62. Let z = h + 37. Let m = z + 34. What is the remainder when 24 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48813 is divided by 24361.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 - 4*z + 4. Let n(q) = 4*q**2 + q. Let g be n(1). Let f be v(g). Is (-6)\/f*-75 - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-12) - 560845\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 850*x**3\/3 - 732*x - 563. What is the first derivative of f(u) wrt u?\nAnswer: 1700*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = 35*t - 18. Let j(k) = k**2 - 4*k**2 - 5*k + 2*k**2. Let z be j(-5). Solve z*d + t*d = 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0 - 3. Solve -3 = -f + n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 2232.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16468321343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 466510?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -5*q, 3*z + 3 = -2*q + 4. Suppose q*t - 27 = -159. Let b = t + 118. What is b rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5*-4)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 + 900*s**2 + 9982860*s + 4872302720 = 0. Calculate s.\nAnswer: -758, 1696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68505512 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*g + 271 = 0, -248 = -3*w + 2*g + 17. Let z = -101 + w. Let j(n) = 2*n**2 + 9*n - 28. Does 38 divide j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11349 divided by -117?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5))**(-3\/19) assuming x is positive.\nAnswer: x**(15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*v - 71*v - 345 + 517*v**2 + 143*v - 31*v**2 wrt v.\nAnswer: 972*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 356 and 141955.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 45 - 46 + 80. Determine f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 19*a + 15. List the prime factors of m(14).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -289681220*n**2 + 475471658 wrt n?\nAnswer: -579362440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (5 - 6\/3). Suppose 5*i - 3*i - 4 = h. Solve z - i*z - 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014091 to five dps.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 23884\/4213 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1245? (a) 2 (b) -0.01771 (c) -1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*98*292\/(-7665)?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12288, -23073, -33856, -44637, -55416?\n\"Answer: u**2 - 10788*u - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 77 + 274 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4458.444 years to decades.\nAnswer: 445.8444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 358 and 7983.\nAnswer: 2857914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d + 16. Suppose -v + 9 = 5. Let r(z) = -10*z + 18. Let s(p) = v*r(p) - 5*o(p). Let f(q) = 9*q - 7. Determine 7*f(k) - 6*s(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 968 and 2.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/5040 - d**6\/36 + 5*d**5\/3 - d**4\/6 - 5*d**2\/2 - 45*d. Let t(p) be the third derivative of x(p). Factor t(n).\nAnswer: (n - 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*f - 576 = -202*f. Suppose -44*h + 136 = f*h. Determine g so that 2*g**h + 2\/3*g - 2 - 2\/3*g**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.4, -43, 1, 0.5, 95?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4. Let r = c - 4. What is the third smallest value in 1, r, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4036 or 4058?\nAnswer: 4036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = o - 1553, 32*o = 2*y + 27*o - 1547. Suppose -2*b - 4 = 0, -4*v + 5*b = b - y. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/6 + 2*s**3\/3 - s**2\/2 + s. Let v be (-12)\/(-5)*65\/39. Suppose -10 - 2 = -v*y. What is t(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 70*z**2 + 38*z - 118. What is the tens digit of n(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576638 and 2807?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71091 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 578 + -578.12. Which is the closest to -2\/11? (a) -0.1 (b) 5 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 - v - 7. Let m be 15*1 + 8 + -8. Let b be m\/10 - 52\/8. What is the hundreds digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000475 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 762653059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2053 (base 14) to base 7.\nAnswer: 22133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001066154 to 6 dps.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12178316 - 9?\nAnswer: 12178307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:13 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = f, 2*x = 4*f + 7*x - 70. Suppose 22*j - 25*j + f = 0. Is j at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 1 (c) 2\/9 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 24*u - 414792 = -34*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) + 91\/3. Let a = b - 12. Solve 4*g = -2 - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49226 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503298071.\nAnswer: 503298071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 569377493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckocjkdokol. What is prob of sequence od?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o. Let k(d) = d - 4. Let l(g) = -6 + 5 + 2. Let z(v) = k(v) + 4*l(v). Give z(x(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6974*q**2*u + 2*q**2 - 1037*q*u - 134371500*u wrt q?\nAnswer: 13948*q*u + 4*q - 1037*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -1\/6*j**3 + 0*j + 1\/12*j**5 - 2*j**2 + 0 - 1\/12*j**4 - 1\/120*j**6. What is the units digit of g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5848191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -7*y**4\/2 + 7*y**3\/3 - 301*y + 74. Differentiate o(v) wrt v.\nAnswer: -42*v**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 6, v: 1, c: 5}. What is prob of picking 1 v and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1449461 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:49 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 696 + 2827*s**3 + 114 + 648 + 64 wrt s.\nAnswer: 8481*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -198. Let l = -117 + a. Let y = -34.5 - l. Sort 2\/9, y, -0.4 in descending order.\nAnswer: 2\/9, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**2 - 14*d**2 - 2 + d**2 - 21*d**3 wrt d?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 637104 divided by -36.\nAnswer: -53092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*b - 170*b + 116*b.\nAnswer: 51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 40 = -l, -5*b = -b - 4. Is l equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39259 is divided by 19204.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let r(q) = -3*q + 5. Let n(x) = -10*j(x) + 2*r(x). Let u = -4 + 8. Let i = u - 2. Give n(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 331, 591, 1089, 1903?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Suppose -2*d + 0*d - 4*o = -24, -5*o + 8 = -z*d. Let n(u) = -4*u**3 + u**2 + u. Let t be n(-1). Is d less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Suppose -3*c - 34 = -5*x, c + 4*x - 32 = 4*c. Calculate the common denominator of (8\/(-36))\/(d\/c) and 15\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34600511 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -34822.788 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3168 and 25975488?\nAnswer: 77926464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3354 (base 9) to base 7\nAnswer: 10141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168170 and 25510.\nAnswer: 429001670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543127927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + -17 + (15 - 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31144 is divided by 139.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 10968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096687 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-22)*6\/(180\/(-10))*-3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -318*j. Let g(t) = -447*t**2. Determine g(l(w)).\nAnswer: -45202428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) -1\/6 (c) 24 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:42 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 11*o + 8. Let x be y(9). Let l be -6*(1 + x\/(-6)). What is the units digit of ((-8)\/10)\/((-4)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (436\/(-16) + 6))*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 8:50 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19834 (base 15) to base 2.\nAnswer: 10100001110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r - 15. Calculate a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95889 + 10.\nAnswer: 95899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/2 + (2 - -7). Is 11 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2 + p - 992*p**2 - 992*p**2 + 2982*p**2 - 3*p - 997*p**2. Let i = -2 + -2. Suppose -r + 3 = 2*r. Let f(m) = m**2 - m. Determine i*f(l) + r*k(l).\nAnswer: -3*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -45)\/((-14)\/168). What is the highest common divisor of v and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.55 - 2.3. Let i = m + 1.85. Which is the nearest to i? (a) -2\/7 (b) -2\/9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 0*c + 9*c**3 + (-3*c**2 + 3*c**2 - 2*c**2)*(-2*c - 3*c + 4*c) + 2*c**3 - 1 + 1 to the form x*c**3 + h*c + j*c**2 + k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvhvvh?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 6\/533, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/3 + 1528*h**3 = 0.\nAnswer: -2292, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/30 + 19*t**4\/24 - 35*t**3\/6 - 2*t**2. Let l be 6\/(-8) + ((-910)\/8)\/7. Is 22 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5814 + 6800. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-26*y**2 + 145*y**2 - 58*y**2 + (0*y + 0*y + 2*y)*(-2*y + 4*y - 4*y)).\nAnswer: -171*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/19 - (870\/(-399) + 2). Which is the third biggest value? (a) 4\/5 (b) 2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9\/2))**17 assuming j is positive.\nAnswer: j**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*c + 8 = -5*c, -2*s = c - 6. Suppose 4*q - 6 = s*q. Suppose 0 = -2*t - 31 + 37. Solve -3*v - q = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1302*v**3 + 1301*v**3 + 25*v - 24*v. Let b(p) = 3*p**3 - 3*p. Give 4*b(i) + 15*c(i).\nAnswer: -3*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)\/(p**0\/p)*(p\/((p*p\/p**(1\/7))\/p))\/p*p*p**(12\/7))**(-2\/85) assuming p is positive.\nAnswer: p**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -722840*m. Let g(w) = -14*w**2. Give g(o(k)).\nAnswer: -7314967318400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697096 a multiple of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u + 4*z, z = -5*u + u + 15. Suppose 0 = u*a - 8. Solve y = -n + 7, a*y + 17 = 5*n - 2*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 912*k - 1528*k**2 + 1681*k**2 - 3*k**3 - 1786 - 2246 = 0. What is k?\nAnswer: -8, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 + 2 = l, -3*z - 2*l + 22 = 0. Let p(u) = -u**3 - u - 19. Let n be p(0). Let y = n + 21. Solve z = y*f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnnnnccnccccnccccc. Give prob of sequence cncn.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**3 - 142*t**2 - 2*t + 57 wrt t.\nAnswer: 18*t - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o - 35. Let g(v) = 1. Let j(d) = -35*g(d) - i(d). Let u(p) = -6*p**2. Give u(j(q)).\nAnswer: -294*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Let k = 2 - 3. Let t = -4785 + 4788. What is the nearest to k in 3\/8, t, q?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 1)*40\/(-16). Suppose -3*c = 2*c - l. Let w(p) = 4*p - 1. Give w(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/16 (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 36092 - 3046 = 11*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -122, 2\/3, -6, -1, -2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 106522*z**3 + 2651*z + 5302. Let j(p) = -241*p**3 - 6*p - 12. Determine -2651*j(u) - 6*o(u).\nAnswer: -241*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 4*n**2 + 0*n**2 + 2*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - 0. Let h be 5\/y*2*1. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + 4*o**2 + 4*o - 7. Let h(d) = 12*d**3 - 9*d**2 - 9*d + 14. Let w(g) = -4*h(g) - 9*m(g). Find the first derivative of w(p) wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/21 (b) -3 (c) 0 (d) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 8*g = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let f be o\/1 - 24\/(-2). Is 8\/f + 55\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -5, -584220, -1 in descending order.\nAnswer: -1, -5, -96, -584220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*m = -80, -2*m = -r - r + 40. Let n = 81\/4 - r. Determine o, given that 1\/4 + n*o**2 - 1\/2*o = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5475906.\nAnswer: 2, 3, 304217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15917248 - -0.3.\nAnswer: -15917247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 365173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4 (b) 23 (c) 34 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6897829 by 3.\nAnswer: -6897829\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Suppose -x - 10 = 3*u, 2*x + 3*u + 12 = -2. Let m(t) = -21*t. Let b(v) = -4*v. Let f(g) = x*m(g) + 22*b(g). Calculate w(f(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 12*w**2 + w. Let b(a) = 7*a - 8*a**2 + a + 2 - a**3 + 2*a**3 - 3*a. Calculate the remainder when b(8) is divided by i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 5*p + 6. Let v = -10 - -34. Let k = v - 22. Let s(y) = -3*y + 8*y**2 + 11*y + 9 - 2*y**k. Determine 5*s(b) - 8*z(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 7, e: 6}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4434\/15)\/((-428)\/(-60) - 7). Do 2215 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 19 - (-61 - 47)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 1076 + 1576. Suppose 37*h = 36*h + j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 390362676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204059\/79 - 2583. What is the nearest to 1 in -0.3, 1\/10, -3, u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*v, -4*v + 325 + 367 = -4*x. Let a be x\/(-14) - 10\/(-35). Suppose -a + 61 = 3*k - 2*o, 0 = 4*o. Solve -2*z = 3*z, 0 = 4*g - 5*z - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 13 = -k. Suppose -5*c = -k*c + 17. Calculate the remainder when (-726)\/(-55)*(-10)\/(-3) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5312 + 6?\nAnswer: -5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1889616147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51, 187, 405, 699, 1063?\n\"Answer: -m**3 + 47*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:17 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) 10\/11 (c) 11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0081 + 0.101361?\nAnswer: 0.109461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 30 = 13*z + 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 39. What is w(12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053 and 0.2?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1*(-16)\/1488.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 3768531*q**2 + 3768528*q = 0. What is q?\nAnswer: -1256176, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768 (base 14) to base 8.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34047?\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -363 - -362. What is the closest to j in 3\/4, -1\/6, -3\/2, 4\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0 + 6*v**3 - 3 - 2*v + 5*v**2 + 11 to c*v**2 + b*v + g*v**3 + w and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 7*t - 2*n + 2, 0 = -9*t + 4*n + 1445 - 1443 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/15 and -27\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u + 1. Let z(n) = -23*n**2 - 34*n + 20. Let p(s) = -8*s**2 - 11*s + 7. Let i(h) = 7*p(h) - 2*z(h). Give -2*i(r) + 18*t(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109747 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:20 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 36) + 0 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 361 - 0?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13107*q**2 - 10219*q**2 - 2887*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 0 - 1*(3 - 1). Let s be ((-7160)\/(-12)*-3)\/(n - 1). Let a be (-3)\/6*0 + s*-1. Round a to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 + 7. Let w(x) = 2*x**3 - 8*x**2 + 20. Let o(m) = 8*b(m) - 3*w(m). Let r(y) = -2*y - 6. Let v be r(-4). Is 3 a factor of o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (274\/12 - 23)\/((-22)\/(-36))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**5\/2 - 35*n**4\/2 + 95*n**3 - 155*n**2 + 215*n\/2 - 55\/2 = 0?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1540 - 1335. Calculate the remainder when q is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-11)\/(-770)*14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l - 4. Let w be f(-4). Is (-24)\/w + (-335)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.83 (b) 5 (c) 0.0825\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.515 less than 0.06186?\nAnswer: -13.45314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -87*s**3 - 18*s**2 + 30*s + 13. Give l(2).\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Let a(l) = 2*l**2 + 2. Let r be a(q). Are r and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/1*(6 + -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(4 - (-316)\/(-8)). Let p = 109 + c. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r. Let q(c) be the first derivative of 2*c - 3 + 1\/12*c**4 + 0*c**2 + 0*c**3. Let s(g) be the first derivative of q(g). Give s(p(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-25) - (-3)\/(-5). What are the prime factors of (-506)\/(-12) - z\/(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**4*h + 61*c**4 - c - 2*h + 17 wrt c?\nAnswer: -84*c**2*h + 732*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 484960 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: Let l be ((-2)\/2)\/((-3 + 10)\/14). What is the nearest to 1\/6 in 0.1, l, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*t - 84 = -90, -c - t = -8 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l + 1. Let x(w) = 3*w**2 - 17*w - 19. Let h(u) = -x(u) - 4*z(u). Let k be h(-12). Solve g = 4*p - k, 2*p - 2 = -p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, f: 4, p: 2, k: 1}. What is prob of picking 3 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -27. Let q = r + 193. What is the remainder when q is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4 - (-3)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d**2 + 1668*d + 21699. What is f(-13)?\nAnswer: 3057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(80\/(-30))*1*(-10)\/(-48)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 3*o - 2. What is the smallest common multiple of 4 and s(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Let v(d) = d**2 - 5*d. Let t be v(4). What is the units digit of p - t - (-6)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 12, z: 4, a: 3}. Give prob of sequence rzz.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 37, -4, -81, 9 in ascending order.\nAnswer: -81, -20, -4, 9, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 7*g + 0*g + 6*g in the form l*g + m and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630737 = -51*f + 608767. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence here when four letters picked without replacement from {e: 3, j: 1, r: 1, h: 1, c: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -3. Let s be 2 - (4 - 2) - -59. Let a = s + 11. What is the highest common divisor of b and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 18. Let w = -10 + f. List the prime factors of 20\/6 - w\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -109. Which is the nearest to 1? (a) t (b) -0.5 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 662 = 41. Let v = c + 44. What are the prime factors of v?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*o - 43 = -727*o - 6*a, 5*a = -o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5502671, -22010697, -49524075, -88042805, -137566887, -198096321, -269631107?\n\"Answer: -5502676*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2841 and -46\/135.\nAnswer: 127845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -3\/5*b**2 + 3\/10*b**3 + 3*b + 0 - 1\/20*b**4. Factor t(v).\nAnswer: -3*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -17. Suppose -4*f + 32 + 124 = h. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -329 or -659\/2?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100326, -2, -4, -291\/4 in decreasing order.\nAnswer: 100326, -2, -4, -291\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*g**3 - 215*g**3 - 255*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9.781 * 16304\nAnswer: 159469.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1092, -4126, -9104, -16032, -24916?\nAnswer: -35762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 11*t**2 - 11*t + 6. Let f be b(10). Let q be 0 + (115\/(-25) - f). Let d = -0.39 + -0.01. Sort d, 1\/3, q in decreasing order.\nAnswer: 1\/3, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 17312806?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-7))\/((-6)\/21). Let t = d + 64. Let m = t + 23. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13444118.1 milliseconds to weeks.\nAnswer: 0.02222903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000785 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20010 + -1153305?\nAnswer: -1213315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.2 - 52.8. What is the closest to 2\/5 in g, -3\/4, -3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1889006*t + 1889006*t + 2983*t**2 to the form s*t**2 + p + k*t and give s.\nAnswer: 2983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -36, 1, 4, -2807 in ascending order.\nAnswer: -2807, -36, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 16 = -p, -10 = 5*g - 2*p + 18. Let i be 1 - 0 - (-5 - g). Let f be (15\/(-6) + i)*0. Which is smaller: f or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 + 22 = 0. Suppose -w*s + 43 = 3*i - 17, -60 = -5*i + 5*s. Suppose -5*f = 22 - 52. What is the remainder when i is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/391172 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, j: 3}. What is prob of sequence dd?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from eccdpphzzpcc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 18*r**2 + 115*r - 29. Calculate the lowest common multiple of 6 and t(-15).\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487188 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 287. Let l be i(36). Sort l, -3\/4, 0, -40\/9 in descending order.\nAnswer: l, 0, -3\/4, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 2\/9 (c) 2\/11 (d) 0.146 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192090*k**3*o**2 - 110*k**3*o*u + k**2*o**2*u - k**2*o**2 - 5*k**2*u + k*o**2 + 613*k*o*u + 21*o**2*u + 29*u wrt k.\nAnswer: 1152540*o**2 - 660*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000073772 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -349*s**2 - 11.\nAnswer: -698*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -13) + -18 - -88 - 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 2 - 5*r**2 + 9*r - 10*r - r**3 - 3*r**2. Determine w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39*(-2369)\/598)\/((-6)\/4). Let y = -0.9 + 1. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 503550 - -1?\nAnswer: 503551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212110033 - -133231?\nAnswer: 212303330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)\/(12\/156). Let l(w) = w**3 + 14*w**2 + 13*w + 4. Calculate the smallest common multiple of 14 and l(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443 (base 16) to base 10\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 8 - (8 + (-6 + 5)*3). Let w(h) = 15*h**2 + h - 1. Calculate w(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = 14. Suppose i*k + 22 = 10. Calculate the common denominator of ((-120)\/28)\/(k\/35) and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 190. Suppose 2*o = 7*o - s. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 339 + 32. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 48 + 8*x as h + b*x and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6223125*j**3*k**3 + 3*j**2*k**3 - 3385*j*k**3 + 3*j*k - 2*j + 2*k wrt j.\nAnswer: 37338750*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*w**2 - 2)*(-2*w - w + w) + 3*w + 2*w**3 - 3*w in the form h*w + q + u*w**3 + i*w**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.8407nm in kilometers?\nAnswer: 0.0000000007258407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851.49ml in litres?\nAnswer: 6.85149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299 - -498. Let w = s + -53. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 541*g = 58*g + 32292 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.39018 + -0.26055. Round r to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -2\/3, 1704, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 406*v**2\/17 - 11416*v\/17 + 1344\/17.\nAnswer: 2*(v - 28)*(203*v - 24)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 1\/2 (c) -13.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 4940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/9*3\/2. Let r(l) = -l**3 + 6*l**2 + 3*l + 18. Let y be r(6). Suppose 2*u + 38 = 2*t + b*u, 2*t - y = -u. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/16 + 3\/16. Let j = 374 - 2622\/7. Let n = -15.99 + 16. What is the second biggest value in n, y, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*(sqrt(5) + -3 + sqrt(5)))*1)**2 + -5*(0 + 1*sqrt(405))**2.\nAnswer: -1996 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/3*z - 2\/9*z**3 - 14\/9*z**2 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(49) - sqrt(1764)*-5)\/sqrt(7))**2.\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from jbyyjdqqrbjy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 3*x + 5. Let g be d(2). Suppose g*u + 22 = 7. Let v be (0 - -3) + (-10)\/u. Solve -2*c = 3*r - r, v*r = -c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssswswnddsanh. What is prob of picking 1 s, 1 w, and 1 n?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = 6*k - 864. Let p be (k\/(-33))\/(-4) - 1620\/(-44). Solve -8*t - p = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3. Let h = 13 - 8. Let l(a) be the third derivative of a**6\/120 + 204*a**2 + 8*a. Calculate h*l(f) + o(f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and 13\/714580?\nAnswer: 714580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -5\/4, -9, 3, 109 in decreasing order.\nAnswer: 109, 3, -5\/4, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*l + 7*l - 265. Let t = 0.2 + -0.3. Which is the nearest to -0.2? (a) t (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**2 - 568*j + 1968. Calculate i(-98).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/11)*w)\/(w**(-3\/13)*w)*w**(-10)\/w**(3\/13))**6 assuming w is positive.\nAnswer: w**(-672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 4*n + 10. Calculate y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 247.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 - (-1 - -3 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*o + 15, o - 11 = -2*d + 6*o. Sort -3, d, 5 in decreasing order.\nAnswer: 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 - -0.18. Let y = -0.3717 + a. Round y to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61\/5 + -417\/35. What is the second biggest value in 8, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 247 in 1.8, 56, 30?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -2521\/11. Let s = -0.17 - -20.17. Let v = -15 + s. Which is the nearest to 0? (a) -3\/5 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1753 = -4*n + 5*l, -4*n = -2*n - l - 869. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 12*r + 279. Let g be f(-27). Solve -g*v + 692*v - 32 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 5*i**4\/2 - 3*i**3\/2 - 2*i**2. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from rrrxrx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10660 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v + 7. Let k(l) = -5*l - 2. Let b(d) = -3*g(d) - 8*k(d). Let f be b(-5). Let n(q) = -3 + 2*q - 2*q**2 - f*q + 4. What is n(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12231 (base 5) to base 7\nAnswer: -2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3141 (b) 0.39 (c) -0.5 (d) -0.4 (e) -6 (f) 4\/5 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/66 and -103\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {r: 1, k: 6, m: 1, c: 1, q: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -108639472 divided by -13579934?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v)**18*v**7*v**(1\/2) assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t - 5*h + 3, 0 = h. Suppose -1 - 4 = t*y - 5*u, -36 = -4*y - 4*u. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -19*k - 167. What are the prime factors of m(-16)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(171) - sqrt(171) - sqrt(171))\/(2*sqrt(900)).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 + -298. Let j = k + 88. Which is the closest to 1? (a) 2 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11628728 and 10175137.\nAnswer: 81401096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 - 2*c + 9*c**2 - 13*c**3 - 5 + 14*c**3 - 7*c**4 - 5*c**2 to the form s*c**3 + i*c**2 + w*c**4 + t*c + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810031.\nAnswer: 23, 78697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**6\/36 + 4*b**5\/3 - 25*b**4\/8 - 20*b**3\/9 + 20*b**2\/3 + 825. Let q(s) = 0. Calculate s.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*r = 90, -3*j - 2*j - 5*r + 120 = 0. Suppose -27 = -5*q + j. Let p = 14 - q. Is p < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43030 - 333?\nAnswer: 42142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -15, 0 in decreasing order.\nAnswer: 3, 0, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5660 divided by 4\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 8*y - 4*d, 4*d + 19 = -219352*y + 219355*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*c = 3*b + 107, -7*c + 6*c = -3*c + 2*b + 34 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/8*20\/(-35)*(-14)\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 4*g + 0*g)*(-767 + 157 + 209)*(-1 - 3 + 2)*(1 + 0 - 3).\nAnswer: -3208*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.281272ng to grams.\nAnswer: 0.000000002281272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o - 10. Suppose 114*m + 8 = 118*m. Let q be a(m). Suppose -2*z = 3*z - 5, 0 = 4*y - 3*z - 9. Solve 4*n + 4 = 0, 3*i - y*n = -q*i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/30*83\/(-913).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004313581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.360676694 - -3\nAnswer: 3.360676694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 662*v**2 - 663*v**2 - 50*v - 71 - 3*v. List the prime factors of p(-22).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19456696 divided by -4.\nAnswer: 4864174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 66. Let j(d) = d**3 + 20*d**2 - 21*d + 2. Let y be j(-21). Calculate the least common multiple of (y - (7 + 2))*(-40)\/28 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let a(t) = t - 1 + 16*t**2 + 9*t**2 + 168*t**3 - 33*t**2 + 9*t**2. Is a(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + z - 3. Let p be v(2). Suppose 0 = -c + 4*r - 25, 3442*c - 3438*c + 16 = 4*r. Solve -p*i + 0 = -c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 478433861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 511\/5 - 101. Let t = 47\/35 - n. Which is the third biggest value? (a) t (b) 2\/3 (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/(-20) + 4\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -1, 0, 2, -11 in decreasing order.\nAnswer: 2, 0, -1, -11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345239979 less than 6?\nAnswer: -345239973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2. Let f(p) be the third derivative of p**5\/60 + 5*p**2. Calculate t(f(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - -625?\nAnswer: 59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8403 = -346*b + 6673 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 833 and 1029?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 7*l)*(76 + 150 - 26)*(0 + 2 - 4).\nAnswer: -1200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u + 47 - 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4 (b) -4 (c) 2\/7 (d) 19796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, 8, -5, 3, 2\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*k**2 - 2*h*k + 185*h + 62*k**2 - 2 wrt k?\nAnswer: -2*h*k - 2*h + 124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 4755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -142, -189, -218, -223, -198?\n\"Answer: x**3 - 66*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:58 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.002 + 0.402. Let c be 3\/(-7)*(-2)\/3. Sort -5, c, u in increasing order.\nAnswer: -5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82 + -7a20?\nAnswer: -7949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.49 + -46.49. Let o = -7705 + 7673.09. Let c = o - z. What is c rounded to one decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/22 and -103\/15036?\nAnswer: 165396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20536608 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15333 = -234*d + 4755 - 2070 for d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -13. Let a be (0 - 4\/(-2)) + q. Is ((-2)\/a)\/(2\/28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5277 divided by 69\nAnswer: 1759\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45111 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Let r = -0.11 + 9.11. Let y = 11 - r. What is the nearest to -1 in b, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004208075 rounded to seven decimal places?\nAnswer: 0.0004208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - -3 - (-4 + -1 + -1). Suppose -5*x + 2719 = -2*x + g, r*g = -5*x + 4527. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2073, -76, -2 in descending order.\nAnswer: -2, -76, -2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -206 (b) 1\/2 (c) 2\/13 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16) - (-209)\/484.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -82.99999745. Round l to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnkwnnwnnnwww. What is prob of picking 2 k and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96664.62ml in litres?\nAnswer: 96.66462","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2245*h + 2241*h + 168. What is the remainder when h is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74779489 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*z**3 - 31*z + 4*z**5 - z**5 + z**2 + 16*z + 101*z wrt z?\nAnswer: 180*z**2 - 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -11 - (19 - (11 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 rounded to the nearest integer?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/s**(-4))**(-26)\/(s**7*(s\/s**(2\/5))\/s*s)**(-2\/67) assuming s is positive.\nAnswer: s**(34916\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 37. Let z be 10\/(-2)*4\/(-10). Suppose z*f = 5*f. Which is the closest to f? (a) 3 (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-22\/7))**(2\/19) assuming z is positive.\nAnswer: z**(-88\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r + 10. Let q = -10 - -10. Suppose 2*p = 3*p - 1. Sort r, p, q in descending order.\nAnswer: p, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 65 + 15 = 0. Let l be (8\/d)\/(4\/10). Let k(u) = 6*u + 11. Let b(h) be the first derivative of -h**2\/2 - 2*h + 34. What is l*k(f) + 11*b(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 15*v + 178. What is t(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 81*d + 217317. Determine u(310).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*q + 16, -342*q + 4*r = -344*q + 8. Solve -2 = -2*a, -n - a = -q*a + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10*l - 14 = 0. Let d(w) be the first derivative of 23 + 31*w**l - 10*w**2 - 9*w**2 - 13*w**2. Let h(s) = 9*s**2. Give h(d(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/30*-3*(-460)\/(-368). Solve -o - 5 = -r*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 27. Let l(d) = -4*d + 1166*d**2 + o*d - 1171*d**2. Let i(f) = 9*f**2. What is l(i(t))?\nAnswer: -405*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 810, 2\/5, 0, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 28*b - 26. Let j be t(9). Suppose -k - 2*o + j = 3*o, -5*o = -2*k + 407. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**5 - 81*g**4 - 111*g**3 + 141263*g**2 + 2*g wrt g?\nAnswer: -480*g**2 - 1944*g - 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-7))\/(-2)*1\/((-56)\/3724)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -14.76.\nAnswer: 14.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 350.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 divided by 39121?\nAnswer: 997\/39121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11152 is divided by 409.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103.34 + 103.4. What is the third smallest value in h, -3, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704 = -44*x + 33*b - 60*b + 31*b, 3*x = 2*b - 48 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55417.7295 milliseconds to weeks.\nAnswer: 0.00009162984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 41*y + 83. Suppose -3*b + 2*b = -f + 8, -3*b - 29 = -4*f. Is 72 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.053236 centuries in millennia?\nAnswer: 0.8053236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/2)*p**(6\/7)*p**(7\/2)\/((p\/p**3)\/p) assuming p is positive.\nAnswer: p**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/26*(-12)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riirirrrh. What is prob of sequence irhi?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 116 = 1100. Suppose -d + 3185 = -14*d. Let n = d + i. List the prime factors of n.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 - 936*h + 1062*h.\nAnswer: 126*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (9 + -2 - -1) - (2 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 389*l**2 + 13 - 18 + 2 - 44*l**2.\nAnswer: -433*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8*n = -g + 9769, -4*n + 4*g = -19520. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from oojdtotho?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Simplify ((b\/b**41*b)\/(((b**(-41)\/b)\/b)\/b*b)*b\/(b*((b*b**(-43))\/b)\/b)*b*(b\/(b\/(b*b**(-2\/37))))\/b)**3 assuming b is positive.\nAnswer: b**(5433\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26966, 26424, 25882, 25340, 24798?\n\"Answer: -542*c + 27508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1320, -1, 4.\nAnswer: -1320, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 822.454 millilitres in litres?\nAnswer: 0.822454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/3 - 1238816*c**3\/3 - 383662553998*c**2\/3 + 767336257376*c - 1151009960763 = 0. What is c?\nAnswer: -619411, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 + 9*d + 5. Let l(n) = 9*n**2 + 10*n + 5. Let o(v) = 5*a(v) - 4*l(v). Let t(b) = -22*b**2 - 12*b - 12. Calculate -12*o(c) - 5*t(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(11) - sqrt(11) - sqrt(33)\/(-2*sqrt(3)))**2 + (-4 + sqrt(11) + sqrt(220)\/sqrt(5))**2.\nAnswer: -30*sqrt(11) + 575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d**3 - 2*d + 1. Let a = 286 - 285. Give v(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5792*j + 4737*j + 4387*j - 12262*j as r*j + d and give r.\nAnswer: 2654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 2*r**7\/105 - r**6\/15 - 19*r**5\/15 - 14*r**4\/3 - 8*r**3 + r**2 + 184. Factor n(u).\nAnswer: 4*(u - 6)*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (194\/(-4))\/((7085\/218)\/65)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose 29*d + 513 - 629 = 0. Let v(k) = -6*k**2 + b*k - 6*k + d*k**2. Let i(f) = -4*f**2. Give v(i(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 10*i + 4. Let o be k(-10). Let s(d) be the first derivative of 0*d + 2\/9*d**3 + 3 - 1\/6*d**o + 0*d**2. Let s(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3578181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 2*c**7\/525 - 2*c**5\/75 + 2*c**3\/15 - 2*c**2 - 6. Let y(m) be the second derivative of a(m). Solve y(z) = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/8 + 118085*d**2\/8 + 440879631*d + 301846294458.\nAnswer: (d + 701)*(d + 58692)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 = -269535*l + 269399*l - 8238 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.025 - 0.0223. Round o to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 50*f + 27. Let a be b(8). What is the greatest common divisor of a and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44725392 and 59633856.\nAnswer: 178901568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.59643 less than -51\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115477 is divided by 115470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 30 = -6. Suppose -4*p = -w + 28 - 99, -t*p - w + 55 = 0. What is the greatest common factor of p and 108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*r = -8*r - 109*r - 19275. What is the remainder when r is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 38. Let p = -98.9 - -98.99. Which is the smallest value? (a) -0.5 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166999474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*w + 4*j + 13, w - 5*j - 21 = 0. Suppose -5*g - 12 + 92 = 0. Calculate the remainder when g is divided by w\/32*-49 + (-1)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/24)\/((-5)\/(-4))*-48*(-42)\/504\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 586 = -395. Let h(y) = -2*y**3 - 4*y**2 - 7*y - 3. Let w be h(-6). Find the third derivative of q*i + 5*i**4 + 3*i**2 - w*i - 28*i**4 wrt i.\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(1*(2 + -1)). Let v = n - 14. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 21. Suppose 0*d + 33*d - 924 = m. Let n = -347 + 487. Calculate the highest common divisor of d and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j - 3. Let h be i(-2). Let z(r) = -13*r**2 + 3*r - 3. Let l(g) = 4*g**2 - g + 1. Let v(a) = h*l(a) + 4*z(a). Give v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -11. Suppose 5*u + 48 = -q*y, -3*u - 31 = -y - 9. Let r be (u - -3)*6\/(-15). Solve -p - 1 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a kilogram in grams?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 234 = 20*v. Let j = v - 112. Let m(d) = 20*d**3 - 10*d + 3. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343642992 to the nearest integer?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.341 - -183.239. Let f = l - -3.42. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/41475 and -44\/7.\nAnswer: 41475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -89*q**2 + 179*q**2 - 5*q - 3 - 39724*q**3 - 93*q**2 + 39722*q**3. Determine x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (2 - 1 - 2). Suppose -5*g + 38 = -92. Calculate the common denominator of 30\/25 + u\/10 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -302 (b) 0.017 (c) 2\/5 (d) -2\/15 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1745.001583 + 1745. Round o to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, 43, 228, 593, 1198, 2103, 3368?\n\"Answer: 10*v**3 - 5*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 - 57.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 289*f + 8275 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*m + 2016 - 2051 = 0, 5*m - 25 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and 85718.\nAnswer: 85710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/3, 5\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:52 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddggdggdggdgdgddgggd. What is prob of picking 3 d?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*f + 2*o, -4*o + 16 = 4*f - 0*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360026.622 rounded to the nearest 1000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -29*h + 1. Let r be q(-1). Let c be 0\/(-82)*(1 + (-1)\/2). Suppose -3*p + r - 6 = c. Calculate the remainder when 20 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyhyhhfuoyhphpphfy. What is prob of picking 1 p and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 351*r = -497*r - 3760 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97\/3 + -33. Let q be (3\/2)\/(42\/(-8)). Let i = -2 - -6. Which is the nearest to q? (a) j (b) i (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6872698, 13745413, 20618128, 27490843?\n\"Answer: 6872715*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87464, 87461, 87458, 87455, 87452?\n\"Answer: -3*b + 87467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33188, -32861, -32534, -32207, -31880, -31553?\n\"Answer: 327*p - 33515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-44))\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33103a4 (base 11) to base 7\nAnswer: -100260250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -54, -1, 25, 0.109, 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from wwwwwwwwwwwwlwwwwwww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 110*i + 75. Let s be q(-36). Suppose 3*r - 22 - 8 = 0. Solve s*n = -r + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2035*l**3 - 96*l**2 + 22*l**4 + 2*l**4 + 1991*l**3 + 75*l + 37*l + 4*l**5 = 0?\nAnswer: -7, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1059*l*o**3 + l*o**2 + 161*l*o + 2*l wrt o.\nAnswer: 6354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -50, -78, -106?\n\"Answer: -28*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 3*w - 1. Let q be r(-2). Let d be (-2 - q) + 30\/(-18). Let k(b) = 6*b - 27. Let x be k(6). Sort 1, d, -1\/7, x.\nAnswer: d, -1\/7, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 28*v + 24*v + 508, p = v + 181. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Suppose -4*g = -j*g - i + 10, 0 = g + i + 10. Calculate the least common multiple of 12\/g*(-1 - 4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -89, 3, 5 in decreasing order.\nAnswer: 12, 5, 3, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-7)\/(56\/(-20))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.179+14404.78\nAnswer: 14404.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 178.3186358 to three decimal places.\nAnswer: 178.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-20)\/(-12)*-3))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/10)\/(2\/14). Let i be -2*-2*(-4)\/(-8). Which is greater: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/214060 and -17\/97427880.\nAnswer: 681995160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 32*c + 90 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -62. Let d = -45.7 + p. Which is the closest to 1? (a) 3 (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from vviiivivmriir?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20384\/(-128))\/91*4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209028432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6043251.\nAnswer: 3, 211, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = 0. Let i be -1 - (u - -639)\/3. Let a = i - -622\/3. Calculate the common denominator of -61\/9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134914?\nAnswer: 2, 13, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202488871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose -8*u + h*u = -54. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 4 + d**2 + 41 as n*d + y + i*d**2 and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 148 - 10)*(1 - 13*q - 1) in the form k*q + z and give k.\nAnswer: 1677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3047, -5, 0, 4 in decreasing order.\nAnswer: 4, 0, -5, -3047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose -3*v + t*v = -5*c + 12, -3*v = c - 12. Is 15 a factor of c\/1 + 92\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 15. Suppose 6*i = p*i. Solve i*x - 3*b + 9 = -2*x, -3*b = -9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553 = -7*y + 2737. What is the smallest common multiple of y and 4?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -144. Let d = 218 - k. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -104 in increasing order.\nAnswer: -104, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 23961026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 6632*g\/3 - 26560\/3.\nAnswer: 2*(g - 3320)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 1, t: 2, s: 2, f: 1, b: 1}. What is prob of sequence tbz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9153 is divided by 417.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 1156*u - 1161. Give j(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 2092*k**4 + 564108*k**3 + 32140532*k**2 + 62041432*k = 0 for k.\nAnswer: -103, -2, 0, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*t - 10 = 0, -5*t + 25 = 5*k - 4*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430005180 and 56496?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-30) + (-4476)\/(-1980) + (-4)\/12.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12743*s + 191106. Determine i(-15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -222312 (base 4) to base 3\nAnswer: -10202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 3*n**2 + 1\/120*n**5 + 0*n**4 + 0*n + 0*n**3 + 1\/160*n**6 + 0. Factor h(a).\nAnswer: a**2*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -106054 (base 9) in base 6?\nAnswer: -1205504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t - 56. Let w(c) = 3. Let v(n) = -q(n) + 4*w(n). What is the remainder when 125 is divided by v(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/70)\/(((-60)\/21)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -20.73?\nAnswer: 41.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1492 - 5967\/4. Let d be (2\/6)\/((-10)\/6). What is the closest to -0.1 in d, m, -0.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84a (base 11) to base 9\nAnswer: -1355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 4:23 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -589, -1182, -1775, -2368, -2961, -3554?\n\"Answer: -593*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 7. Give c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/660 + 9*i**5\/110 - 38*i**4\/33 + 80*i**3\/11 + 2*i**2 + 109*i - 15. Factor g(z).\nAnswer: -2*(z - 20)*(z - 4)*(z - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t**3 + t + (-5 + 1 + 6)*(40*t**3 + 6*t**3 + 2*t**3).\nAnswer: 94*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 11:59 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -701 - -770. Suppose -z*v + 96*v = -297. Let w(d) = -2*d - 23. What is w(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(0*z - 3*z + z) + (1 + 2*z - 1)*(0 + 3 + 6)*(5 - 1 - 2))*(2*z - 4*z + z).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 2*n**2 - 3*n - 2. Suppose 2*j = -2 - 2. Let y be o(j). Let f be -1*5*y\/(-5). Solve f = v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 3*u**3 + 1 + 0*u**3. Let k(a) = -2*a + 7. Let w be k(5). Let s(c) = -2 - 8*c - 11*c**3 + 14*c**3 + 8*c. What is w*s(y) - 7*p(y)?\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 133*j - 2*j**4 + 0*j**4 + 13236*j**3 - 13235*j**3 wrt j.\nAnswer: -24*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10154939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.3 - 15. What is the closest to 0.1 in -0.2, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 + 53*f + 670. What is k(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330242250?\nAnswer: 2, 3, 5, 13, 33871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let v(n) be the second derivative of 7*n**4\/12 - n. Give v(t(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1343 = -11*p + 1288 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b - 6*b**2 + 6*b**2 - 2*b**2 as p + k*b + r*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824*l - 1361*l - 3308*l.\nAnswer: -3845*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-29)\/((k*k**(-1\/20)*k*k)\/k)*(k**(-1\/49))**(-31) assuming k is positive.\nAnswer: k**(-29711\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3152531 (base 6) to base 3\nAnswer: -21212102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + -1038 + 1083\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 - 58. Let i = 4261 + -4258. What is the first derivative of -882*c + t + 15*c**i + 882*c wrt c?\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 0 + (sqrt(1539) - sqrt(1539)*5) + (5*sqrt(1539) - sqrt(1539)) + 1)**2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/480 + 19*z**4\/96 + 5*z**3\/4 + 9*z**2 - 16*z. Factor k(w).\nAnswer: -(w - 5)*(w + 2)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from ylysrrlljrrjll?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-870)\/(-9)*(-24)\/16. Is 3623\/5 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (992*x**2 - 322*x**2 + 5862*x**2)*(-4 + 4 + 2) to v*x + r + q*x**2 and give q.\nAnswer: 13064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2159*x + 1886*x + 819 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -15, -20, -17, 0, 37, 100?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233\/99 - -22\/9. What is the third biggest value in 0.3, l, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 1591, 2343?\nAnswer: 3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, 128 in decreasing order.\nAnswer: 128, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/2 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0 + 71\/12*p**4 + 0*p**3 + 0*p - 49\/120*p**6 - 25*p**2 + 0*p**5. Find the second derivative of k(a) wrt a.\nAnswer: -294*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132.2 + 98.2. What is the nearest to p in 1, 4, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 5. Let t be o(-7). Let b = 155 - 47. What is the highest common factor of b and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoo when three letters picked without replacement from {q: 3, o: 4, h: 13}?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/8)\/((-4)\/(-1)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98090 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 12*r - 9. Let a = -7 - -11. Calculate the remainder when a is divided by w(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002869 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and -0.5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 417\/101?\nAnswer: 417\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21318, 42635, 63952, 85269, 106586?\nAnswer: 127903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(900)*-1 - sqrt(900)) + 3 - (1*(sqrt(168) - sqrt(42)))\/(sqrt(6) + ((sqrt(294)*-2 - sqrt(294)) + sqrt(294) - sqrt(6))).\nAnswer: 3*sqrt(7)\/140 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 17*j + 6. What is the units digit of t(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8283 = -5*p, 24*p + 6216 = 3*i + 29*p. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -2*y. Calculate the remainder when 146 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3402 and 101393334.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90733 and 2583.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/11, -27, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 i when four letters picked without replacement from iiimimimmiiiimiiimm?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 12:17 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*f + 20 = 9*j, -4*f = 2*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3187, -7966, -14343, -22324, -31915?\n\"Answer: -i**3 - 793*i**2 - 2393*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9312.7774 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2 + 1\/72*c**4 - 1\/360*c**6 + 0*c - 1\/180*c**5 + 1\/18*c**3 + 2*c**2. Let b(x) be the second derivative of r(x). Factor b(n).\nAnswer: -(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thth when four letters picked without replacement from {h: 12, t: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(931) - (-4 + (sqrt(931) + -1)**2) - (sqrt(931) + (2 + sqrt(931) + 1 + sqrt(931))**2 + sqrt(931) - sqrt(931))).\nAnswer: -4659 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 2*h**2 - 4*h + 4. Let l be c(2). Let r be (-6)\/(-2) - (1 + l\/2). Factor 0*i**3 + 5*i**4 - 3*i**r + 10*i**3.\nAnswer: 2*i**3*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1372*t**2 + 5*t**3 - t**3 + 2531*t**2 - 1159*t**2.\nAnswer: 4*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 431, 2032, 5835, 12932, 24415?\n\"Answer: 182*i**3 + 9*i**2 + 300*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3242*q - q**3 - 3242*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 4*r**2 + r - 8*r**2 + 144 + 5*r**2 + 7*r**2 to f*r**2 + h*r + v*r**3 + d and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:06 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 2 w when four letters picked without replacement from mwzmnnwnz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(15\/802) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.8708 - 0.0292. Let m = l - -22.9. Sort m, -1, 1\/13, -3 in ascending order.\nAnswer: m, -3, -1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 13. Let w(n) = -2*n + 3. Let f be w(-3). Let q be c(f). Is q < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5316 + -4552. What is the remainder when v is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 13*y + 7. Suppose 0 = 3*v - 2*v + 12. Let w be c(v). Let t = -2 - -3. Sort t, w, 5.\nAnswer: w, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -497\/5 + 99. Let f = 12.8 - 13.8. Let o = 1\/46 + 179\/230. Which is the nearest to f? (a) q (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - 1566*k**2. Let q(j) be the third derivative of j**4\/4 + 2*j**2. Calculate q(f(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.348 + -0.648. What is the nearest to 0 in z, -2\/3, -1.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -2. Let u(t) = z*t**2 + 786*t**3 + 8*t - 3*t - 3985*t**3. Let p be u(-5). Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8*t - 15 = -3*m, -t = 2*m + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l - 1. What is the remainder when 80\/440 - ((-713)\/11 - 2) is divided by j(-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15088\/4329 or -0.39?\nAnswer: -15088\/4329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/19 (b) -0.1 (c) -1104 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8\/3)*a*a**(-10)*(a**(1\/3))**(-20\/11) assuming a is positive.\nAnswer: a**(-135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1406, 2470, 3960, 5876, 8218?\nAnswer: 10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -65\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -11110110121?\nAnswer: 11110110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050)*2)\/((sqrt(120) - (-5*sqrt(120) - sqrt(120)))\/sqrt(12)).\nAnswer: 22*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 + -6. Let s = -8 - -5. Suppose -2*f + 0*f = -5*p + 10, 10 = -4*p - 2*f. What is the closest to p in s, t, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2, 10, -19, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(7\/((-140)\/(-16))). Which is the fourth smallest value? (a) -2\/11 (b) -4 (c) f (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.3. Let a = 0.1 - 0.3. Sort c, a, 2 in descending order.\nAnswer: 2, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40085 divided by 634?\nAnswer: 40085\/634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - (-2 + 9 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53624196 rounded to 3 dps?\nAnswer: 0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.5 (b) -4 (c) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-12)\/3)\/(-2))\/((-6)\/(-21)). What is the derivative of a*t**2 + 10*t**2 - 11 + 30*t**2 + 2 wrt t?\nAnswer: 94*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1601, 6401, 14389, 25559, 39905, 57421?\n\"Answer: -y**3 + 1600*y**2 + 7*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 7*a = 0. Let q(l) be the second derivative of -2*l + 0 - 1\/10*l**5 + a*l**3 + 0*l**2 - 1\/12*l**4. Find the third derivative of q(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35178 and 5214.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -319, -342, -367, -394, -423, -454?\n\"Answer: -t**2 - 20*t - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -663, -735, -807, -879?\n\"Answer: -72*w - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - d - 36*d**2 + 4*d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -101567, -4, -3, 0.07?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 277, 686, 1269, 2032, 2981?\nAnswer: 4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24930831 divided by 1312149\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44957, 89874, 134793, 179714, 224637?\n\"Answer: c**2 + 44914*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 - 12*j**3 + 36*j**3.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-32) - (25 + 25065\/(-720)). Solve 0 = 5*n - m, 123*x - 118*x = -4*n + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1fb99bc?\nAnswer: -1fb99bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**7\/105 + 7*y**3\/2 - 4*y**2 + 16*y. Let l(u) be the first derivative of o(u). What is the derivative of l(p) wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u - 1287 = 131*u - 6554 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:52 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 37. Suppose 20 = -4*y, 3*r - t*r = 4*y - 640. Suppose 12*k - r = k. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (56\/21)\/((-1)\/(-33)). Let v be (7\/(-3))\/(-3 + (-500)\/(-165)). Let g = v + p. Calculate the lowest common multiple of 4 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**6 - 29*i**2 + i**6 + 21*i**2 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1 - -2) + 69 + -77.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (7 - 11) + 76 + (-28 - -19).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192081 is divided by 51828?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13addb4 - 5?\nAnswer: -13addb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2992458 by 6.\nAnswer: 498743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*v + 148*v - 122 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) -10 (b) -3 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-550)\/(-4)*(-9392)\/(-58700)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -15*s - 11*s + 84 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (936\/(-546))\/(6\/(-70)). Let j be 4 - 5\/(-2 - -7). Solve -19*b = -w*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 208*m**2 + 56. Let z(b) = -11*b**2 - 3. Calculate -3*u(n) - 56*z(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -8*q - q. Suppose -4*d + 3*g + 6 = 0, -q*d + 4*g - 4 = -12. Solve -l + d*y = -y + 1, -l - 1 = 4*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/16 - (-11)\/(-44)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221 - -1?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444107 is divided by 442500.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-30) - (5 + (-20)\/(700\/189)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50.0662 - -2.5202. Let n = 48 + g. Let k = -0.056 - n. What is k rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21031013 + -2331?\nAnswer: -21100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3 - 509*d**2 - 1196*d - 300.\nAnswer: (d - 75)*(d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, 6 in ascending order.\nAnswer: -4, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9*3*1. What is the tens digit of (z + (-1)\/(-4))*-24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5507 - 4834. What are the prime factors of i?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d)\/(d*d*(d*d**(-2))\/d))\/(d**(10\/3)*d**8) assuming d is positive.\nAnswer: d**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17363.32ng in milligrams?\nAnswer: 0.01736332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221 is divided by 90?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21113*v**2 - 20153*v**2 + 41266*v**2 + 13*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -l. Suppose -24 + 98 = l*c. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 146\/(-8) + 24\/(-32). Suppose -5*l - 13 = -a, 0 = l - 0*l + 2*a - 4. Is (6420\/b)\/(l\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 88.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -29. Let q(s) be the third derivative of -1\/36*s**4 - 1\/126*s**8 - 13\/315*s**7 - 1\/12*s**c + 2*s**2 + 0 + 0*s**3 + 0*s - 7\/90*s**5. Factor q(b).\nAnswer: -2*b*(b + 1)**3*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -15640, 5, -4 in increasing order.\nAnswer: -15640, -83, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*c + 101*c + 44*c - 89*c**2 - 26*c wrt c?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 484 - 158 - 218 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15210 - 224230?\nAnswer: -205020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -9899d7?\nAnswer: -9899d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 1 - 1)*(-5 + 3 + 1)*(-7*c - 7*c + 5*c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -398, -1011, -1878, -2999?\n\"Answer: -127*g**2 - 232*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 - -7420?\nAnswer: 7457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1272, -54, -61?\nAnswer: 1272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/30 - 206*a**3\/15 + 10609*a**2\/5 - 49*a. Let g(h) = 0. Calculate h.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -162736623084+-3\nAnswer: -162736623087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 37*o + 52*o - 2*o**2 + 40 - 14. What is the remainder when x(13) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62987 in -0.1, 5, -0.4, 0.06, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.7 + -49. Let i = -2.7 + g. Which is the nearest to 0? (a) 1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 8. Let m be l(6). Let b = 28 - 6. What is the remainder when b is divided by 4\/m - 290\/(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023906 (base 10) in base 11?\nAnswer: 63a304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*v + 15 = 6*v, 15 = 3*v. Solve 4*w - 3*w = -2*m - 12, q = 5*m - 3*w + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 88*r**2 - 874*r + 2116.\nAnswer: -2*(r - 2)*(r + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7618.575496 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)\/y**2*(y\/y**(1\/6)*y)**(-2\/149) assuming y is positive.\nAnswer: y**(-12527\/447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {a: 2, c: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 2*a + 1 - 2*a + a. Let b(h) = h**2 - 3*h - 2. Suppose 5*u - 3 = 3*v, 5*u + 11 = 5*v + 2*u. Let s be b(v). Determine g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 27. Let o be k(-8). Suppose -3*y + 10 = 10. Sort o, 2, y, -4 in ascending order.\nAnswer: -4, o, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 960 divide 91828411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 557646654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/13597 - 856675\/435104. What is the common denominator of r and 3 - 23\/(-3)*(-3)\/(-28)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140973 and 74634?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 55*r**3\/6 - 21*r**2\/2 - 2*r. Let d(i) = -28*i + 11. Let u(j) = -7*d(j) - 4*k(j). Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.3096 hours in microseconds?\nAnswer: 548314560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n. Suppose -4*m + 3 = -1. Let z(x) = 2*x**2 - 3 + 2 + m. Calculate o(z(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a3 (base 14) to base 4.\nAnswer: -2312323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(329\/63 - 8\/36). What is the second smallest value in 0.5, l, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 26*t**2 + 24*t + 34. Let h be 6\/(-8)*12*-8. Suppose -4*f + 28 = -h. What is the remainder when f is divided by v(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445341688?\nAnswer: 2, 11, 5060701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k + 8*k + 10 - 43*k - 24*k wrt k.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from tcctttttt.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times 70.1?\nAnswer: 203.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 21 + -45 + (7 - (8 - 11 - -5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/((-6930)\/44))\/(5\/(-315)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 + 1083*z - 2351196 = 0. What is z?\nAnswer: -1084, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-123)\/(-33)*(240\/(-308))\/12. Let r = x + 12\/121. Which is the nearest to -3? (a) r (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 2.1, -259 in descending order.\nAnswer: 2.1, -5\/2, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.030243 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369348480 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -66.6. What is the third smallest value in 1, 3\/7, n, 1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2737 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301 by -5.\nAnswer: 301\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*l + 7115 + 17365 = 0 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Find the third derivative of 2 - 2*z**2 + 13*z**4 + 2*z**2 - 3*z**2 - 3*z**d - 5*z**2 wrt z.\nAnswer: 312*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/44 and 49\/3342.\nAnswer: 73524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -36, -62, -90, -120, -152, -186?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 1b?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124408518 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 57*j - 1. Let y be f(19). Is 35 - -1124 - (y + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1247 + 682. What is the common denominator of ((-4)\/(-20))\/(18\/i) and 97\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m - 1)*(-4*m - 4*m + 0*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679805*i - 679806*i - 6 + 6 + 2039419*i - 679804*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 - 22168*t\/5 - 184282584\/5.\nAnswer: -2*(t + 16626)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2 - 12, 3*h = 2*a - 443. Suppose -3*o = -a - 203. Suppose 4 = -4*b + o. Solve 2 = -2*g - 2*p, -3*g + 5*p - b = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 327. Suppose 3*n + 237 = 2*q, -4*q + 2*n = -2*q - 232. Suppose 0 = -x - x - v + q, -5*x + 279 = d*v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*p**3 - 655*h*p**2 + h*p + 40*h + p**3 + p - 33 wrt p.\nAnswer: 18*h*p - 1310*h + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 174*b - 41. Let g = -91 + 94. Is t(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.98 + -1.98. Which is the smallest value? (a) z (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*y + 4*x + 4, -2*y = 2*x - 14. Solve -5*v + g + 10 = y, -5*v = -13*g + 17*g + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:40 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 151766321 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 68 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -38. Suppose 0 = -8*h + g + 12. Suppose 253 = h*t + 9. What are the prime factors of t?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 7*y**2 + 7*y - 3. Let b(k) = -k**3 - 1. Let x(p) = -3*b(p) + m(p). Calculate the least common multiple of (-8)\/(-6)*(3 - -6) and x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 1}. Give prob of picking 2 y and 1 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 162 = 92 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15708, 31417, 47128, 62841, 78556, 94273, 109992?\nAnswer: 125713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121818 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 1, a: 2, h: 2, s: 1, f: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -28. Let n = -9.84 - 1.84. Let j = o + n. What is j rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/160)\/((-20)\/(-75))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -18. Let p = 41.2 + -41.7. Which is the third smallest value? (a) p (b) 1 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239333305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -14.2. Let g = m - 13.16. Round g to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 + 30*f**2 - 121*f - 66. Calculate the remainder when k(-18) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.1, -0.2, -4.9 in decreasing order.\nAnswer: 2\/7, -0.1, -0.2, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/16? (a) 1 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.83 and 26.15558.\nAnswer: 26.98558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -231.592 and -77.\nAnswer: 17832.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28875233 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -339 and -14?\nAnswer: 4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*14\/35*2\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-100)\/(-1400))\/((5\/6)\/(-5)). Let x = -0.4 - -0.4. Let y = 1 + x. Which is the second smallest value? (a) y (b) 6 (c) l (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 100. What is the nearest to h in 0.06, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4386524941 and 0.11?\nAnswer: 4386524941.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(5\/6)\/j*j\/(j*j\/(j*(j\/j**(-6))\/j*j))*(((j\/j**(2\/7))\/j)\/j)**(-43) assuming j is positive.\nAnswer: j**(2651\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, -5\/6, 40\/339 in ascending order.\nAnswer: -5\/6, 2\/23, 40\/339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q + 3. Let x(z) = z**2 - z + 2. Let h be x(2). Let i = h + q. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592332767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*d - s - 2, 0 = -d + 5*s - 10. Suppose f - d = 2*f. Let g(h) = -h**3 - 11*h**2 - 12*h - 10. List the prime factors of g(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = 9. Let g be y\/2 + (-6)\/4. Let o(i) = i**3 + i**2 + i + 13. What is the tens digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 3*b - 7 - 7)*(-15*b**2 + 11*b**2 + 6*b**2) in the form i*b**2 + d*b + v*b**3 + q and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1005884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1631.\nAnswer: -163.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70671619 or -70671622?\nAnswer: -70671622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 - 138. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5002 + 344087 + 32075 + 203696 - 54618 + 50615)*(6*w - 2*w - 3*w) to the form l + f*w and give f.\nAnswer: 580857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*s + 24 = 0, f + 5*s - 22 = 1. Suppose -2*q + 0*q + 5*b - 4 = 0, f*b = -3*q + 36. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 373*c - 5226. Let x be h(14). What is the closest to -208 in x, 0.1, 1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 387d1a1?\nAnswer: -387d1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/109 (b) 7\/4 (c) 69 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*m - 49*m + 28 - 7)*(-1 - 2 + 8).\nAnswer: 5*m + 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-6))\/(45 + 215499744\/(-4788882)).\nAnswer: 7, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*4\/88*(-22)\/(-4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwx when four letters picked without replacement from {w: 7, x: 3, t: 2, h: 1, y: 1, f: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*((5*sqrt(704))**2 + -1)*-4*6 + 4 + 2).\nAnswer: -2534220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91853 and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + m + 15. Calculate l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -163475, -326952, -490429, -653906?\n\"Answer: -163477*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 959*b**2 + 1534*b + 43781. Calculate q(-481).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 911*x + 7. What is s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -34233351 (base 6) to base 11\nAnswer: -655409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012266089234 rounded to six decimal places?\nAnswer: -0.001227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -1\/36*n**4 + 1\/90*n**6 - 2\/45*n**5 + 2\/9*n**3 - 1\/504*n**8 + 0 + 2*n**2 + 0*n + 2\/315*n**7. Suppose h(c) = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202201230 (base 4) to base 8\nAnswer: 424154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 80 = -1. Solve 4*f - 3 = -d*z, -f + 1 + 16 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*l = 3*l, 0 = 3*m + 3*l + 9. Suppose r - m*d = 40, -6 - 10 = -4*d. Let f = 76 - r. What is the least common multiple of f and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -41031332401?\nAnswer: 41031332343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5785, -7 in descending order.\nAnswer: 5785, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 7. Let q be v(5). Solve 5*t + q - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 = -3, 3*s + 22 = -2*n. Let b(v) = 2 - 2 + 4*v - 5. Let x(o) = 5*o - 6. Let r be ((-39)\/65)\/(2\/(-10)). Give r*x(l) + s*b(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - m = 200 - 204, 2*v + 3*m - 7 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -18*p**2 + 56. Let w(s) = -64*s + 2. Calculate g(w(n)).\nAnswer: -73728*n**2 + 4608*n - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 367, 368, 459, 640?\n\"Answer: 45*o**2 - 134*o + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 - 8034*n + 7889064 = 0. What is n?\nAnswer: -3442, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-27))\/(-1)*-24*30\/(-10800).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 42646.92 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -72.707 (c) 276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 308\/49 + -6 + (-9)\/7. Let h(c) = -12*c + 10. Let k(z) = z - 1. Determine p*h(r) - 8*k(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5804414 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.94. Let u = -1617.9 + 1617.5. Which is the smallest value? (a) -4 (b) u (c) 1\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4775, -4769, -4761, -4751, -4739?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 10, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1211*u**3 - 4*u**2 + 4*u - 294. Let i(g) = -g**2 + g + 1. Let d(h) = 4*i(h) - r(h). What is the first derivative of d(y) wrt y?\nAnswer: -3633*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 10*r**4 - 14*r**4 + r**4 wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.7 - -15.3. Let t = 31.4 - o. What is t rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-15))\/(16\/30) and 1\/(-4) - (-87)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 832 - 520. Suppose -2*t + c = -4*s + 6*s, -t = 4*s - 171. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 - -3.04. Which is the second smallest value? (a) 0.1 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23*((-1)\/(-2))\/((-2)\/4). Let n = 119 + w. Calculate the remainder when n is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/19 - 2\/19*b**3 - 40\/19*b - 18\/19*b**2.\nAnswer: -2*(b + 1)*(b + 2)*(b + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/((g\/(g*g\/((g*g**10*g*g*g)\/g)))\/g))\/g*g)\/g*g**(-3)\/g*g)\/((g*g**(1\/3)\/g)\/g*g**(-13)) assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 24 = -4*s. Let d be (s\/16*1)\/3. Which is the closest to 0.1? (a) d (b) 3\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110010011011100 - -101?\nAnswer: 1011110010011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 303763, 303769, 303775, 303781?\n\"Answer: 6*w + 303757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d2 + 7c?\nAnswer: 55e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 - 1238*i - 2468 = 0.\nAnswer: -617, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o - 13*o - 34*o**2)*(0 - o + 0 + o + 3*o - 2*o + 5*o - 5*o + o + (4 - 2 - 3)*(3 - 3 - o)).\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -10, 3, 174, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmpm when four letters picked without replacement from {j: 3, p: 2, m: 2, y: 1, z: 4}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44753 = -28*g - 111319. Let p be g\/80 + 2*(-6)\/96. Is p at most as big as -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25866*f**2 + 51677*f**2 - 25811*f**2 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - 3*sqrt(76)*-2))*-6 + -4)**2 + -1.\nAnswer: -576*sqrt(19) + 98511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -206*a**2 + 1452*a - 118. Give c(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11513 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 13*o - 2. Let k(p) = -p + 19. Let v be k(10). Let i be g(v). Let j = 36 - i. Solve -3*n + 2*n = m + 4, 0 = 2*n - m + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 205 (b) -1\/7 (c) 0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*k\/k**6*k)\/(k**(3\/8)*(k*k*k\/k**(-10))\/k) assuming k is positive.\nAnswer: k**(-243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r + r - 4*r + 4*r - r - 2*r + (2 + 3 - 6)*(4*r - 3*r + r) - 6 - 5*r + 6 + 18 - 4*r + 3*r - 29.\nAnswer: -5*r - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 1, d: 4, x: 2}. What is prob of sequence nj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/120 - b**4\/24 - 5*b**2. Let u(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13277 is divided by 197.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 59, 224, 549, 1088, 1895, 3024, 4529?\n\"Answer: 9*p**3 - p**2 - p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 - 35046*x + 315416\/9 = 0 for x.\nAnswer: -157708, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/21 + 2\/(-7). Let r be 3 + (-5)\/(10\/o). What is the second derivative of h + 3*h**5 - 3*h**5 + 3*h**r wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/10)\/(-1))\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100211 + -1102011?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70135956 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -15. Let i be ((-15)\/q)\/(3\/(-9)). Factor 2*g**5 - g**i + 2*g**3 - 2*g**5 - g.\nAnswer: -g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((45\/90)\/(1\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8 and -71\/75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 37 + 12681*w**2 - 18*w + 12698*w**2 - 25378*w**2. Give q(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l + 5. Let a be m(4). Suppose 8*p + 116 = 4*f + 11*p, p - 56 = -2*f. Suppose -130 = 13*x - f*x. Put x, a, -2 in increasing order.\nAnswer: -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w + 26*w - 24. Let q = 81 + -126. Calculate the common denominator of -16\/3 and -6 - q - 1*w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -13300.\nAnswer: 17290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let r = -3381.94 + 3382. Put 3\/8, r, l in increasing order.\nAnswer: r, 3\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 3*z + 3*s, 3*s + 2 = 4*s. Suppose -17*m = 23*m - 1720. Let i = z - m. Is i a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)**4\/(v**3\/v**6) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -9, 5 in descending order.\nAnswer: 5, 1\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (427*y + 213*y**3 - 427*y)*(y - 2 + 2)*(-4 + 2 + 3) to the form w*y**3 + q*y + r*y**2 + x*y**4 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 17*h**2 + 3*h + 12. Calculate a(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16383*d + 16614*d + 11781 = 0 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -569 - -575. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -919562976*j**2 - 183636697*j?\nAnswer: -1839125952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 3, d: 1, u: 4, c: 4, n: 3}. Give prob of sequence nd.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.00917, -5, 18.5, -0.2 in ascending order.\nAnswer: -5, -0.2, 0.00917, 18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 20*s**3 - 12*s**2 + 10*s. Let f(w) = 7*w**3 - 4*w**2 + 3*w. Let u(p) = 17*f(p) - 6*z(p). Let x be u(4). Are x and -38 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -217 + 235 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.29 and -1932.\nAnswer: -1931.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17937534.\nAnswer: 2, 3, 59, 50671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.047 - -99.047. Let z = 99.3 - v. Which is the closest to 0.1? (a) 4 (b) z (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*w + 406*w + 14 = r, 9 = -4*r + 5*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 49*o + 231. What is a(-23)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 9*v**2)*(-v + 0*v + 2*v)*(6 - 2 + 2).\nAnswer: 54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 13\/4*n + 17\/4*n**3 + 6*n**2 + 1\/2.\nAnswer: (n + 1)**2*(n + 2)*(4*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8.21 (b) 0 (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-1)\/(-2)*-1. Let t(p) = -p**2 + 10*p - 9. Let h be t(8). Let o be w\/h + 328\/28. Solve -6*d + 2*d = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 5*o + 3. Let h be d(3). Suppose -h*t = 2732 + 940. List the prime factors of (1 + 0)\/(1 - t\/(-410)).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 3 = -2*k, -4*k + 3*p = -7. Let h = 0.17 - -0.03. What is the closest to k in 0.4, 5, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/51420 and -31\/2609565.\nAnswer: 10438260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18083*r = 4*g + 18084*r - 1, g - r = -6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*k - 15 = k, 14 = 2*f - 4*k. Suppose f*c = -c + i + 14, c + 5 = -4*i. Let d be -2 + c - (-14)\/(-18). What is the closest to -2 in d, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 97, 252, 483, 796, 1197, 1692?\n\"Answer: d**3 + 29*d**2 - 9*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133.08 rounded to the nearest 10?\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*y - 8950, -17*y + 22*y + q - 8978 = 0. What is the remainder when y is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1028)\/(-20) - ((-2)\/(-12))\/(76\/((-19152)\/(-105)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j. Suppose -2*s = -j*s - 4. Suppose -s*c - 20 = 2*c. Let b(w) = -2*w - 2. Let g(l) = 4*l + 4. Give c*b(f) - 2*g(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1453 (b) 1\/10 (c) -1 (d) -0.09 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 20 = -5*q, 0*q - 2*q - 2*f = -4. Suppose -2*s = -q*x + 4, -4*s - 8 = -10*x + 6*x. Solve 5*n - 4 - 11 = x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 1\/19 (c) -111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(((-31)\/(9610\/(-30)))\/(36\/(-4))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*n + 3*q - 9, -3*n + 3*q = 0. Suppose 0 = n*a - 15. Let d(z) = 2*z - 3. Determine d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 1\/1)*70840\/176. Suppose -12*f = -22*f + y. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 + 5*y - 5. Let h(c) be the first derivative of 2*c**3 - 2*c**2 + 4*c + 7. Determine 5*h(f) + 4*i(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438754318.\nAnswer: 2, 219377159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2\/z*z**(-2))**(1\/6)*((z\/(z\/(z*z*z**(-1\/6))))\/(z*z**(-2\/11)))**(-39) assuming z is positive.\nAnswer: z**(-871\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = 8*r - 7*r, t = -4*r + 14. Is r\/(3\/1259*(5 + -4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxrrrrhdrddrxxxdrw. What is prob of picking 1 w, 2 x, and 1 r?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**5 + 39*n**3 + 36*n**2 = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70270667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 994762699 to the power of 1\/2, to the nearest integer?\nAnswer: 31540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26138 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five eighths of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:31 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 517109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*u = 6*u - 3304, -5*w + 3284 = -4*u. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -9*d + 44. Put d, 0.2, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 866 = 726. Suppose -4*h + 91 = -2*k - 127, -5*h - 2*k = -286. What is the remainder when h is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 11*a**2 - 17*a + 25. Calculate h(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w**2 - 532007 - 35*w**2 + 532004. Let d(z) = 57*z**2 + 2. What is 3*d(h) + 2*o(h)?\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 50 = 5*w, 2*t = w + 4*t + 10. Let p(n) be the first derivative of -n**2\/2 - 3*n + 425. Let f be p(w). Solve 5*z - 2 = -f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:18 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 110*c + 59895 = 0. Calculate c.\nAnswer: -99, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0 + 2\/3*x**3 + 1\/12*x**4 + 0*x + 2*x**2 - 1\/30*x**5. Factor b(a).\nAnswer: -2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (36 + -3 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose 20 = -6*l + o*l. Let q = -119 + 143. Let j(k) = 2*k**3 + 5*k**2. Let z(w) = 9*w**3 + 24*w**2. Determine l*z(s) + q*j(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - (4 - 1)) + 4. Let u = -5 + c. Solve 4*w - 6 = u*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:30 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*r + 30, r - 2 = -7. Suppose g*h - 2*c - c - 1280 = 0, -4*c - 768 = -3*h. What is the greatest common factor of 96 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 21. Let t(h) = h + 20. Calculate 3*l(v) + 4*t(v).\nAnswer: v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(-3 + 4 + 2)*(-4*b - 6*b + 4*b) to w + l*b and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 1\/43, 9, 2, 2\/23, 54?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 - 11) - (-27 - -21) - (1 + -64)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 225440 = 5*p - 33005, -2*p + 103376 = 3*l. Let b = 74448 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 6}. Give prob of picking 2 c and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x - 186*x = 2860 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1838248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -32\/3*n**3 + 0*n**4 + 42*n - 4*n**2 + 36 + 2\/3*n**5 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 10. Let r be l(-5). Solve 5*n = -2*a - 3, -2*n + r*n = -4*a + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/3, 0.3450882, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 0. Let d = 0 + -4. Put d, q, -3 in increasing order.\nAnswer: d, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 107. Let m = q - 53.5. Suppose 3*a = -7 + 10. What is the fourth biggest value in -4, -1\/2, m, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 38 = 2*o - o, 4*t = 2*o - 44. Let s be 34\/(-145) + t\/(-50). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 82*d**2 - 4*d + 4. Let j be g(2). Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.3 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 693854 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) + -5 + sqrt(180)*-1)**2)*3 - (-1*sqrt(180) + -3 + (1 + sqrt(180))*3)**2.\nAnswer: -645 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0 + 2*k**2 + 2 - 3*k + 1 + 2*k**2. Let y(q) = 5*q**2 - 4*q + 4. Let f(a) = 4*s(a) - 3*y(a). Let x(w) = -2*w**2. Determine f(x(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -135*q**3 - 2*q - 1. Is 35 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.794 + -1.479. What is p rounded to one decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/8)\/7*-2. Suppose -o*a = -n - 56, 4*n = -2*a + n + 41. Suppose -a = -2*d + 13. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 3*f - 51, -4*f + 2*q + 78 = 0. Suppose m = -0*m + f. Let i be 0\/(-4) - (-6)\/m. Which is the biggest value? (a) i (b) 4\/9 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.02, 2\/9, -66, -0.009, 1\/5?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:45 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.09. Let d = o - -6.01. Let y = -5 + d. Which is the closest to y? (a) 3 (b) -1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 444*w + 333. Is s(86) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 105*u**2 + 52*u**2 + 37*u**2 - 4.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, 1 d, and 1 l when four letters picked without replacement from {d: 1, w: 1, b: 2, l: 1, a: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) 2\/15 (b) -0.4 (c) 10 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0395473 to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 12*o - 9. Let q be (1 - 2)*4 - (7 - 18). Let b be m(q). Solve v - 5 = b*t, 0*t + 3*t = v - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664279?\nAnswer: 7, 11, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/110995?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b**4 - 2*b + 3. Let r(s) = 28*s**4 - 5*s + 7. Let x(l) = -7*m(l) + 3*r(l). What is the second derivative of x(n) wrt n?\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 - 8. Let u(n) = 16*n - 31*n + 2*n**3 + 3 + 15*n. Determine -3*b(w) - 8*u(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 14*w - 29. Suppose 4*u - q = 8*u - 40, 5*u = -q + 51. Let t be f(u). Solve r - t*r = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdpypqdq. Give prob of sequence pqy.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n - s = -8352, 2*n + 3*s + 5579 = 0. Let a = -1196 - n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6270 less than or equal to -6269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 688 - 608.2. Let o = -80 + i. Which is the closest to o? (a) -3 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/9)*b**2*b)**27 assuming b is positive.\nAnswer: b**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6028649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 18*f = 42*f - 464 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -4*1*sqrt(78)) + (sqrt(78) - sqrt(78)*1)*-2)\/(sqrt(60)\/(-1*sqrt(10) - sqrt(10)) - sqrt(294)*-3).\nAnswer: 10*sqrt(13)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -65, -1\/9, 2\/7, -2\/360747?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + v + 3*v**2 + v**3 + 2*v**3 - 4*v**3 to t*v + p*v**2 + b + x*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 929060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -15. Let c(o) = 2*o**3 - 2*o**2 + 2*o - 2. Calculate the smallest common multiple of c(2) and (-18)\/z + (-2 - -2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v - 191 - 466. Let o = 72 + v. Let l(r) = -2*r**3 + 5*r + 4. Let i be l(o). Solve x + i = -4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/((-3)\/(-18)). Let a = v + -5. Let s be -5*(0 + a\/2). Solve s*j - 16 = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67332521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001414740412 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.87 - -0.13. What is the second smallest value in 0.04, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/32990 and -79\/18744918?\nAnswer: 93724590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 560 + -284. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12939054.\nAnswer: 2, 3, 59, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 1, -45 in descending order.\nAnswer: 126, 1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 4.2. Let r = 4.02 - 4.22. Which is the nearest to -13? (a) 5 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -4*g**3\/3 - 20*g**2 - 100*g + 297. Factor x(z).\nAnswer: -4*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421283\/177118 - 17\/3002. Let b = -27373\/2065 - z. Let w = b - -81\/5. Is 2 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 2*x**2 - x**2)*(7*x**2 + 2*x**2 - 2*x**2)*(2 + 0 + 1 - 3 + 2 + 3 + (4 - 3 - 2)*(0 + 0 + 1)).\nAnswer: -84*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -733, -721, -711, -703, -697?\n\"Answer: -j**2 + 15*j - 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + q - 16 = 0, 5*j + 55*q = 452 + 278 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297*c**4 - 43*c**4 - 130*c**4)*(7 + 18 + 0).\nAnswer: 3100*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15288336 divided by 2436\nAnswer: 6276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13 - -0.033940645256.\nAnswer: 0.163940645256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1162 (b) 16\/5 (c) -5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93474?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, -208, 0.0044, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 322 = -27*q. Let b(c) = -2*c - 8. Let z(k) = 6*k + 23. Let i(h) = 6*h + 23. Let y(t) = -7*i(t) + 6*z(t). Calculate q*b(a) + 6*y(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 43*c**2\/2 + 14*c + 50. What is the remainder when u(5) is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -155 (c) -10 (d) 0 (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 2. Let q be d(-6). Suppose 0 = 4*j + q*u - 46016, 5*j - j + 3*u - 46012 = 0. What is j rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22214 divided by -766\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*d + 1315, n = -4*d - 0*d + 457. Let k = -210 + n. Round k to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l. Let j(m) = -49*m + 2153. Calculate j(c) + 4*x(c).\nAnswer: -c + 2153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 8*s**3 - 13*s**3 + s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -331303 (base 4) to base 8\nAnswer: -7563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 2 - -3 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-16)*5\/(-10). Let r be ((-3)\/(-18))\/(1\/4). Let o = 16.9 - 12.9. Which is the third smallest value? (a) r (b) n (c) -0.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -1.6. Let m = -0.4 + k. Let r = m - 12. Which is the closest to -0.1? (a) 1\/6 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2.223\nAnswer: -0.8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 603.59 and 4.\nAnswer: 2414.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12 + 3 + 8 + t**3 + t. Let k(q) = -7*q**3 - 5*q + 7. Give -5*f(v) - k(v).\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(2\/((-12)\/6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. Let s(f) = 6*f + 4. Let t(h) = -18*o(h) - 2*s(h). Suppose -m - 30 = -7*m. Calculate the remainder when t(m) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-16) - 1)*(-144928)\/112. Does 2104 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 47*c**2 + 52*c**2 + 4 - 84*c**2 - 11*c. Suppose -4*d - 3*t = -d - 12, 0 = -5*d - 3*t + 24. Let i(p) = 4*p**2 - 3*p + 1. Determine d*s(a) - 22*i(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -845, 12, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) -0.2 (c) -3 (d) -2\/85 (e) 2395 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(60) - sqrt(240)*3)\/sqrt(12) + -2 + (sqrt(5) - (sqrt(125)*-5 - sqrt(5))) + -4).\nAnswer: -36 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/361, -0.1, -12\/1025, -3 in decreasing order.\nAnswer: 3\/361, -12\/1025, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 36. Suppose -1 = -5*d + 9. Suppose 0 = w - 3*s + 14, d*s = 2*w + 8. Solve 2*h + 14 = u*y, 0*y - y + 5*h = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1122002121120?\nAnswer: -1122002121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.894, -5, 27\/80 in descending order.\nAnswer: 15.894, 27\/80, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(4\/((-24)\/9)). Suppose -6 = i*y - 14. Solve -4*u = 5*h + 16, 9*h = -2*u + y*h - 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*l = 6807 + 10630, -87095 = -5*t + 2*l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111.39*-3\nAnswer: -334.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -412 - -422. Solve 15*g - m*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (120 + -122)*((-194)\/(-4) - 0). Let w(b) = 2*b**2 + 5*b. Let z be w(-4). Calculate the common denominator of 19\/3 and 6\/z*v\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 76?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + k - 6 - 0, -5*d - 10 = -3*k. Is -9\/11 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*m + 107280 = 631*m - 322*m for m.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 42*n**2 + 40*n - 46. Let q be w(-41). Let j(l) be the first derivative of -1\/2*l**2 - 5*l - 2. Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.95 and -109?\nAnswer: 103.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t**2 + 7 - 9*t + 3*t**2 + 16*t**2 - 17*t**2. Let c be w(1). Solve z - 11*z + z = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 17*s**2 - 31*s + 19. Let k be o(15). Let f be 130\/35 - k\/(-14). Suppose -3 = 3*q - 3*z - 15, -16 = 4*q + f*z. Solve q*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000114 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*y + 3. Suppose 4 = y*d - 16. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13*n. Let o(k) = -3836096*k**2 - 1. Give h(o(m)).\nAnswer: -49869248*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*c - z, 3*c = -c + 5*z - 13. Suppose -3*l + 0 = c. Is l at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 6. Find the third derivative of -15*s**3 + s**i - 3*s**2 + 4*s**6 + 15*s**3 wrt s.\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/18 and 11\/1221896?\nAnswer: 10997064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2166, -2169, -2172?\n\"Answer: -3*a - 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3675?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1.04, 1, 1\/10, 0.3 in descending order.\nAnswer: 1, 0.3, 0.2, 1\/10, -1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + (-14 - -21) - (-9 + 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 244, 470, 692, 910, 1124, 1334, 1540?\n\"Answer: -2*r**2 + 232*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -702 + 350 + 352 + 228*o**2. Let m(b) = -b**2. What is m(z(p))?\nAnswer: -51984*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 2. Let q be u(-7). Suppose 27 = -q*c - 3*m, -m - 9 = c - 2. Let v(b) = -b**2 - 5*b - 3. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 338 + 24\/6 + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 19*n**2 - 29*n + 301. Give q(16).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 11*i - 37. Let o be x(-15). Suppose -y - o = -4*y + 4*k, 3*y - k - 242 = 0. Suppose 7*r + y = 12*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 47484.63 nanoseconds?\nAnswer: 0.04748463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/16330 and -3\/6532.\nAnswer: 32660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(80)*-1 + sqrt(80))\/sqrt(5)*3)\/(4*sqrt(16)\/(sqrt(384)\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/2 - 330*c - 659\/2 = 0.\nAnswer: -659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and 79\/21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -36.9. Let n = 0.411 + -0.011. What is the second smallest value in -2\/9, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 53672880*h - 240064837291200.\nAnswer: -3*(h + 8945480)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**4 + 56*c**3 + 29*c**2 - 1282*c + 7. Let x(n) = -10*n**4 - 56*n**3 - 30*n**2 + 1284*n - 6. Let w(q) = 6*r(q) + 7*x(q). Factor w(j).\nAnswer: -4*j*(j - 4)*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/30 - 2*l**5\/15 - 11*l**2\/2 + 7*l. Let b(c) be the first derivative of o(c). Factor b(i).\nAnswer: 4*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*(m\/(m*m*m**(-9)))\/m)\/((m*m**5\/m)\/m**(-14)) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/6 - q**3 - q**2. What are the prime factors of f(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + (-15)\/(-6))*(-272)\/(-6) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -11. Suppose 0 = -s - x + 12. 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: Two letters picked without replacement from nyyqnqynqyn. Give prob of sequence yn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34324334 divided by -20.\nAnswer: -17162167\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.1. Sort 0.3, -1\/6, i in increasing order.\nAnswer: -1\/6, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-18) + (-16)\/216*-3. Let b be 1 + 2 - (-6)\/v - 59. Is b less than -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtxxeqw. What is prob of sequence ttq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 133*q - 324. Calculate the smallest common multiple of y(3) and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2527*x**4 - 199*x**2 wrt x?\nAnswer: 60648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 582768 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(117) + 2)**2 - (sqrt(325) + 1))*1.\nAnswer: 7*sqrt(13) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*a + 9, -3*g - 2*a - 12 = g. Let c(b) = -5*b + 3. Let x be c(g). Let q be x\/(-8) + 0 - -2. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p*p**(1\/3)*p*p)\/p)\/(p*p**(-5))*(p**(2\/7)\/p)**(-13) assuming p is positive.\nAnswer: p**(391\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 207843492 a multiple of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 2*k - 1. What is f(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s + 120 - 113 - 7.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3\/2, -0.6, -0.5, -1.3, -0.07?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085712.\nAnswer: 2, 3, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -748.6 rounded to the nearest 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 13 (d) -2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)\/((-11)\/22). Let b(q) = q**2 + q - 16. Determine b(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4 = -6. Calculate the smallest common multiple of 8 and (-152)\/(-12) - o\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 646*r**3 + 156420*r**2 - 16825050*r + 678310875.\nAnswer: (r - 165)**3*(r - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162286449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201332 + 120313?\nAnswer: 1322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 113*t**2 + 3*t + 10. What is d(1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221233470.\nAnswer: 2, 3, 5, 7374449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -11\/2*z**3 + 0*z + 0 + 1\/4*z**4 - 10*z**2 + 1\/4*z**5 = 0. Calculate z.\nAnswer: -4, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3*k = -i, -5*k + 2*i - 9 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*b - 16, 5*n = b + n + 25. Is (-231)\/b + (-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*q + 32. Solve a + 2*u = -a, -4*a = -3*u + q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506.604 - 0.07?\nAnswer: -1506.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178553 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14\/13 - 69\/52. Put 4\/5, 12, o in increasing order.\nAnswer: o, 4\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79915, -159684, -239453, -319222?\n\"Answer: -79769*r - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254914448 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let x be (-24)\/30*(-30)\/4. Suppose x*d - 20 = d. Let f(t) = -2*t + 1. Determine d*q(r) + f(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 556 - 520. Calculate the remainder when a is divided by (0 + 2\/2)*19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 5*p - 5*p - 2*p**2 + 1. Let l(w) = 3*w**2. Give f(l(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 3}. What is prob of picking 1 s and 1 r?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 1. Let w be v(3). Suppose 5*q - q - 34 = -w*j, -12 = -4*q. What is the smallest common multiple of j and (-12 - -1)\/(3168\/(-576))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7219641s in milliseconds?\nAnswer: 721.9641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-12))\/(-2)*30. What is the greatest common divisor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*p - 16, p - 12 = 3*l - p. Let t(m) = -6*m**2 - 19 + 7 - m**3 + 9 + 5 + 183*m - 186*m. Give t(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 671857 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:57 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t - 3. Let q be o(-5). Suppose -3*f + 2 - 11 = 0. Let x = q - f. Is x at least -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/95? (a) 2\/21 (b) -1 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2 - 4. Let c(k) = -239*k**3 + 2*k**2 + k. Let q be c(i). Suppose 6*x + 0*x - q = 0. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8209 + 12032. Does 70 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 - 315. Solve -2*p - n - 8 = 0, p - 1 = 4*n - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 4. Suppose 0 = 5*u + 6 + 29. Calculate the remainder when 8 is divided by f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 3*c - 44 = 0, 4*c = 5*w - 56. Suppose -19 = -4*i + 9. Suppose 5*d - w = i. Let g(h) = h**3 - 2*h**2 - 2*h + 1. What is g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 652661100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k + 2*h + 4, -3*h + 8 = k. Suppose 5 = k*o - 7. Find the third derivative of 15*p**6 + 10*p**6 - 10*p**o + 11*p**2 wrt p.\nAnswer: 1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9325, 9337, 9355, 9379, 9409, 9445?\n\"Answer: 3*h**2 + 3*h + 9319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689060 to the power of 1\/2, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -480631 and -440388.5?\nAnswer: 40242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280 is divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*b = -61, -213 = -5*q - b + 92. Let o be (-104)\/130*30\/(-2). Suppose v = q - o. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12450?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4473465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 353471 + 2?\nAnswer: 353473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (117\/(-27) + 4)*-1 - (1 + -1). Factor -16\/3 + 8\/3*k - w*k**2.\nAnswer: -(k - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*i + 68*i + 286780. Round i to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 2)\/((-9)\/(-27)). Sort -2, -4, d, -6 in increasing order.\nAnswer: -6, -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -8 + 4)\/(-1). Suppose -7*i + 2*i = -15. Let s be 2\/(-9) + 1\/i. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12068500 to the nearest 100000.\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 895238130 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-18\/13)\/v))*v**(2\/67))**(2\/7) assuming v is positive.\nAnswer: v**(-586\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least 12459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1810 - 902 - 906 - 549*t)*(-3 + 3 - t).\nAnswer: 549*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125311191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 303. Does 55 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:49 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2987882*p**2. Let k(u) = 3*u. Give f(k(x)).\nAnswer: 26890938*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 110 = 4*l. Let c(b) = -5*b**3 - 8*b**2 - 6*b + 1. Let n(w) = -4*w**3 - 7*w**2 - 5*w + 1. Calculate l*c(q) - 6*n(q).\nAnswer: -q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 40 = -16*d. What is the hundreds digit of -3*(d - -7) - -1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.74724 weeks to seconds.\nAnswer: 30087130.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**3 + 15*m**3 - 58*m**3 + 23*m**3 + 11*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3131\/2 or -1565?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -5*y + 5*a, -y - 443 = a - 452 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -39. Suppose -30*s - 10 = -z*s. Solve 3*q + 25 = -s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448671901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 61 = -5*d - 1, -5*k + 58 = 2*d. Calculate the greatest common factor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -3 (c) -390\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/5)*g**24)\/((g**(-6)*g)\/g**(-2\/11)) assuming g is positive.\nAnswer: g**(1519\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93504.76 millilitres to litres.\nAnswer: 93.50476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-27 - (7 + -5 - 10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 7*v**2 + 8*v + 4. Let p = 20 + -25. List the prime factors of n(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -134 + 133 - 5*g**2 - 4*g + 0*g + 3*g. Let b(d) = -9*d**2 - 2*d - 2. Give 3*b(m) - 5*i(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 443*m + 89227. What is g(-202)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s - 5*p = -19, s - 4*p = -2. Let l = 22 + s. What is the first derivative of -5*o + 11 - o + l*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545106 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15\/4 + 4. Let x = -0.15 + 0.1. Let q = x + 4.05. Is q bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122622595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-28) + 152\/28. Let y be k*6*(-17)\/5. Let m = y + 97. Let p(o) = o**3 + 6*o**2 + 5*o. Give p(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, w: 3}. What is prob of picking 4 m?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(-1) - (-189)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 - 11148*t + 31069476 = 0.\nAnswer: 5574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 31569*h\/7 + 40795180\/7.\nAnswer: (h - 1420)*(2*h - 28729)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 804.7964ug?\nAnswer: 0.8047964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, s: 4}. Give prob of picking 1 a, 1 s, and 1 t.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 27*f**3 - 37012 - 37004 + 74016.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114721*o**2*q**6 - 2*o**2*q**3 + 1445*o**2 + o*q**2 - 23*q wrt q?\nAnswer: 13766520*o**2*q**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4646 (base 11) to base 8.\nAnswer: -13724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 3586.\nAnswer: 25102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 294*a**2 + 41*a + 282*a**2 + 279*a**2 + 302*a**2 - 1115*a**2 in the form h*a**2 + v*a + l and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 6*h - 19. What is the highest common factor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.33?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*a = 9022, -3*m + a + 5451 = -8077. What are the prime factors of m?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + k = 411, -4*o = -k + 329. Let n = o - -82. Suppose n = -7*w + 26 + 30. Solve f - 3*f + w = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, -4\/3, -3\/2, -2, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178853 divided by -4.\nAnswer: -178853\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*n + 8 = 0, 2*u - 27 = -2*u + 3*n. Suppose -5*m + 47 = u*a, 44 = 4*m - 6*a + 2*a. Calculate the remainder when 46 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 34 = h + 4*a, -5*a = 4*h - 62. List the prime factors of (-2)\/8 - h\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 3*p**2 + 5. Let g be b(0). Suppose -g*v + s + 195 = 0, 4*v + v = -3*s + 175. Sort -2, v, -4, 4.\nAnswer: -4, -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5192 - 5192. Solve -47*b + h*b = -9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {g: 9, a: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(448)*1 - sqrt(448))*-1)**2 + sqrt(448) + -2 + 3 - (sqrt(448) + (sqrt(448)*-1 - sqrt(448))**2 + 5 + 2 + 1).\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 34\/(-3). Let v = 140 - 351. Let t = v + 295. What is the highest common factor of g and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 divided by 635?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (-2 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 - 225. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/5075661?\nAnswer: -1\/5075661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d34 - 23263?\nAnswer: -24097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12*y - 8*y = -26084, 4*n - 3*y = 52193. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 3*i + 0*i + i.\nAnswer: -2*i - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:20 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let y(l) = -7580*l**2 + 3792*l**2 + 3797*l**2. Give h(y(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1260 + 1 + 15\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 7 = 4*w. Let i = 11 - w. Let m = -679861 + 679867. Solve -m + i = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(275)*-2)**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 773 and 694154.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 821 + 960. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:48 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/120 and -53\/87488.\nAnswer: 1312320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3379, -6758, -10137, -13516, -16895?\nAnswer: -20274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {y: 2, t: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 + 8*p**2 - 15*p + 26. Let z(x) = x**3 - 2*x**2 + 4*x - 6. Calculate 4*j(y) + 15*z(y).\nAnswer: -y**3 + 2*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 1\/2 (b) -0.3025 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 15*v**2 - 40*v + 13. What is y(12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164646, 164608, 164570, 164532, 164494, 164456?\nAnswer: 164418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 150 = -80. Let b = p + -26. Suppose 0 = 2*c + 2*c - b. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38269377 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (174\/(-12)*1)\/((-2)\/4). Is (t + 2)*10 - 0 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(2\/220). Let z = -33 - b. What is the greatest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = t + 4*r + 273, 3*t + 2*r = -831. Let d = t - -2600. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 5\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 4 + 2 + 4 - 7. Let u be i(3). Solve -q + 1 = -u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 1, t: 4, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5061.2 - -5061. Which is the second smallest value? (a) w (b) -5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2119597 + 1981822811\/935. Let t = -2\/187 - y. Which is the nearest to -6? (a) -1\/5 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 259 + -247. Calculate the lowest common multiple of v and 2790.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7*(-198)\/(-252))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11795*j + 12683*j = 92352 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -111, 0, -27, -10 in descending order.\nAnswer: 8, 0, -10, -27, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.4 in 4, 1, 184, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12349847, -12349848, -12349849, -12349850, -12349851?\n\"Answer: -f - 12349846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 904*y**2 - 904*y**2 - 9*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*28227.32\nAnswer: 11290.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. What is the highest common factor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 6*f + 3*f - 3 + 3 + 3*f + (-4 - f + 4)*(-3 - 2 + 2) + (13 + 12 - 19 - 2*f)*(-1 + 4 + 2) as l*f + m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 10*q + 3. Let u(v) = -4*v**2 + 3*v. Let n be u(2). Let d be m(n). Does 19 divide (-1)\/d + 3\/(9\/58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111010101010000011 (base 2) to base 14.\nAnswer: 3c0415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*y + 5 = 0, 0 = h - 5*y + 5 + 6. Let o(b) = 6*b + 1. Let q(g) = g. Let t(w) = h*o(w) + 4*q(w). Calculate the remainder when t(-1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 1 + 1)*(4 + 3 + 10)*(45 + 15 - 15).\nAnswer: 1530*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 40*d**3 - 4050*d**2 + 22680*d - 33075.\nAnswer: 5*(d - 21)*(d - 3)**2*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkmmmskmm. Give prob of sequence skm.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = d - 3*k, -4*d = -4*k. Let q be d\/(-4) - (-19)\/2. What is the third derivative of 6*l**6 + 3*l**6 - 3*l**6 + 0*l**2 + q*l**2 wrt l?\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.49, 5, -7, 0.3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 7*b**2 + 7*b - 21. Let i be g(-5). Does 11 divide 3 + ((-1)\/6 - 1669\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c - 16. Let r(u) = 77*u + 80. Let z be r(-1). Let n(g) = 0 + 5 - 5*g + z. Calculate 5*n(a) + 3*v(a).\nAnswer: 2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1117153 (base 10) to base 11\nAnswer: 6a3374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1500\/5)\/6*(4\/5)\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 4 + sqrt(2057) + 1.\nAnswer: 5 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 60 = 5*z - 15, 2*z + 113 = -54*f + 363 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483553 is divided by 1271.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -3*y**4\/20 - 119*y**3\/5 - 134. Factor t(r).\nAnswer: -3*r**2*(r + 119)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3416 (base 7) to base 5.\nAnswer: 14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((440\/(-385))\/(1\/((-7)\/2)))\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:04 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*y + 258, -4*l + 8*y + 496 = 3*y. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9823 - -9817. Let b(h) = h**2 + h - 1. Let c(v) = -v**2 - 2*v + 12. Let n be c(-5). Let k(s) = 3*s**3 - 2*s**2 - 2*s + 2. Give d*b(g) + n*k(g).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2916\/24)\/27*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 - 10*l + 20. Let b be r(8). Suppose -152 = -4*n + h + 3*h, b = 2*n + 2*h. Let g = n - 36. Solve g = -3*s - s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/538?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127.76ng in tonnes?\nAnswer: 0.00000000000812776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssr. Give prob of sequence rss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 6, -3*z + 122*y = 126*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3344*v**3 + 3513*v**3 + 3349*v**3 - 10203*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6 - 26. Let j(y) = y**2 - 4*y + 35. Let c be j(12). Suppose -6*r + c + 1 = 0. Calculate the lowest common multiple of l and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*((-2*sqrt(99) - sqrt(99))*-2 + 3 + 3)*4.\nAnswer: 72 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.295 weeks to days.\nAnswer: 1346.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 - (22 + -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2048*r + 10855*r + 36901*r + 945*r + 6041*r)*(1 + 3 - 5).\nAnswer: -56790*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -57. Calculate the lowest common multiple of 62 and v.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.64999 nanoseconds to seconds.\nAnswer: 0.00000001664999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20418 is divided by 3602.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 23*f**6\/30 + f**5\/20 + f**4\/8 - f**3\/2 + 5*f**2. Let z be l(4). Let q = -4755 - z. Round q to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*v = 91, b - 3*v - 104 = -19. Let m = b + -1369\/18. What is the common denominator of -74\/63 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/555826 and 37\/14890286?\nAnswer: 282915434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 88 = 4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 2, v: 2, r: 2}. What is prob of picking 1 m and 2 v?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6224)\/(-8169))\/(1\/(-7)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, -3, 3\/76, 0.32 in descending order.\nAnswer: 5, 0.32, 0.2, 3\/76, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 2*x - 1 + 0*x**3 - 1\/20*x**5 + 22\/3*x**4 - 61\/2*x**2. Differentiate i(c) wrt c.\nAnswer: -3*c**2 + 176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 0*o - 14 + 9*o - 6. Let c be 15\/10*844\/6. Let x(p) = -1 + 215*p - 4 - c*p - 2. What is 6*u(s) - 17*x(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Let n = -0.4 + 1.1. What is the closest to -0.1 in n, -5, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 31, 67, 117, 181?\n\"Answer: 7*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 85*m + 11. Let i(z) = -43*z - 5. Let w(g) = 4*c(g) + 9*i(g). Let b be w(-1). Let p = b - -97. What is p rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 25. Suppose -10*r = -h*r + 70. Suppose 0*f - f - 3*g + 1 = 0, 0 = -5*f - 5*g + r. What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000064131561 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -0*x. Find the second derivative of -6*t - x*t**4 + 8*t + 15*t**4 wrt t.\nAnswer: 132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*6\/420*-10*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 236*d*n**3*w - 121*d*n**3 + 8*d*n**2 + 5*d + 362*n**3*w + 2 wrt w?\nAnswer: 236*d*n**3 + 362*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38900 and 2723?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 2340*d**2 + 14042*d\/3 - 21064\/9.\nAnswer: -2*(d - 1)**2*(d + 10532)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.193 and -22.\nAnswer: 4.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(50) - (0 + sqrt(20) - sqrt(20))**2.\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**2 - s - 9. Let n(b) = 16*b**2 + b + 13. Suppose -26*i - 70 = -16*i. What is i*t(a) - 5*n(a)?\nAnswer: -3*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 63. Let z = d - -15. Suppose 0 = -6*t + 200 - 56. Calculate the remainder when z is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-190)*27*10.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddxu when four letters picked without replacement from {x: 1, d: 3, v: 2, u: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**(2\/15)*v))\/(v\/v**(-3))*((v*v*v**(1\/4))\/v)**(-1\/62))\/((v**(-4\/5)*v)\/v**(2\/13)*((v*(v\/v**(2\/9))\/v)\/v)\/(v\/v**(-5))) assuming v is positive.\nAnswer: v**(-28361\/29016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/7 - 20*p**2\/7 + 67*p\/7 - 46\/7.\nAnswer: -(p - 2)*(p - 1)*(p + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-35) - -7)\/((-69)\/230)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554804274 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-22)\/(-3146)*1\/1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -k + 23 - 197, -3*k - 172 = 5*r. What are the prime factors of (-3)\/(30\/(-1912)) + (-28)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 + 13*s**3\/3 + 10*s**2 - 8*s + 821. Calculate t(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2 + v**4 + 2*v**2 - 14303*v - 3 + 14305*v to h*v + a*v**3 + i + d*v**4 + g*v**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - (1 + -5 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/4)\/((-14)\/(-8)*(-768)\/7168)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 243*f - 49. Is d(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + l**2 - 1. Let r(x) = 6*x**3 - 18*x**2 + 18. What is -18*f(a) - r(a)?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 7. Let b be m(-6). Let n be -2 + 0\/(2\/b). Let p = 0 - n. Solve -p*o + 4 - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l - 3 + 8 + 7 + 25*l. Let v be q(-5). Let g be (16\/132)\/(v\/(-27)). Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1240 - 1124?\nAnswer: -2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - 27*s + 38. Let w be r(8). What is the greatest common divisor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -101?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-9))\/((-6850)\/49320)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3 + 46*x**2 - 182*x - 1014 = 0.\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a - 485*a - 21*a + 9925 + 877 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1931 + -1932.301. Let l = 1.41 + g. Round l to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 + 4*r - 6. Let c be o(-6). Calculate the greatest common factor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -2*i, 0*k + 44 = -4*i + k. Let b = -70 - -82. Let w = b + i. Let a(c) = -c + 2. Determine a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 8*d**2 - d + 3. Let f be m(8). Let c be (-52)\/2*1\/2. What is the units digit of (f\/5)\/(1\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.5 - 9. Let d = 0.15 - -0.25. Let l = -0.1 - 0.3. Which is the closest to -1? (a) q (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*w - 6318 + 1678. What is the remainder when 371 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81877092 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -1\/4, -0.264351, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k + 266 = -135 + 23 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/2*(-2)\/16. Which is the nearest to 1? (a) 1 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -442\/5 - -88. Let n = -266 - -1065\/4. Which is the closest to s? (a) n (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4169904 is divided by 2197?\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -21404, 5, -5 in ascending order.\nAnswer: -21404, -79, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 9619 + 9588 = 0. Which is the fourth biggest value? (a) y (b) -14 (c) 3\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247476067 plus -756.3?\nAnswer: -1247476823.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 59 = -4*a + 341, 4*a = -5*i - 719. Let l = i - -426. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-4))\/(1672\/12958)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -325525554?\nAnswer: -325530000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 22. Let i = z - -27. Let u = i + 11. Which is the second biggest value? (a) 4 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 69 + 93 = 0. Factor 32\/11*z - 2\/11*z**q - 128\/11.\nAnswer: -2*(z - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26614.1729 to the nearest integer.\nAnswer: 26614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333*r**3*u + 53*r**3 + 27096*r*u + 24*r - 623 with respect to u.\nAnswer: -333*r**3 + 27096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1319.786um?\nAnswer: 1319786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -157*o**2 + 9*o. Let t(f) = -122*f**2 + 7*f. Let d(n) = 7*k(n) - 9*t(n). Let x(i) = i - 1588. Give d(x(h)).\nAnswer: -h**2 + 3176*h - 2521744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:01 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-10\/7)\/(c*c**1)**(2\/29))**(-35) assuming c is positive.\nAnswer: c**(3040\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.708727 and 6524.\nAnswer: 6538.708727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3\/9 + 680*l**2\/9 - 12716*l\/3 + 78608 = 0 for l.\nAnswer: 51, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235 is divided by 85.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -13. Let j = -25 + n. Let f(o) = -o**2 - 15*o - 15. Does 13 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -76631187.\nAnswer: -76631165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 14101723?\nAnswer: 14101730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2669*n**2 - 1334*n**2 + 3 - 1333*n**2 - 3.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*w - 15205 = -18263 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 567 divide 66852135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1703617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r - 47*r + 25*r as u + n*r and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1877 - -3042. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuybffyfys. What is prob of sequence yb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*l + 2*l + 3*g, 0 = 4*g + 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - 2. Let m(u) = 280*u - 685. Let v(c) = 2*m(c) - 50*z(c). Find the first derivative of v(x) wrt x.\nAnswer: 910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 2*s**2 + s - 2. Suppose -3*b - 3*i = 8 + 70, 0 = 3*b - 3*i + 96. Let u = b - -24. What are the prime factors of d(u)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 119?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 13 - 3 + q + 8 in the form w*q + g and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7146260.\nAnswer: 2, 5, 11, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -3) + (23 - 9 - 3) + -21 + 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/333 + 1394\/10323. Is n at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.17071ml in litres?\nAnswer: 0.00917071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 59*j - 235. Determine v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -674, -2387, -5770, -11387, -19802?\nAnswer: -31579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**2))**(2\/11))**(-27) assuming j is positive.\nAnswer: j**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166 + 168 - 179*l**2 + 169*l**2 to the form d*l**2 + r + b*l and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v. Let m = -8 + 10. Let r(q) = -6*q - m - 9*q + 2. What is -21*c(n) + 4*r(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.6156 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278 and 380760930?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 81516*s. Let f(p) = 109*p**2. Give m(f(n)).\nAnswer: 8885244*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.932787 - 919710.\nAnswer: -919841.932787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912 = -9*u + 840 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*n + 270 = 0, -3*x + 0*x + 5*n + 138 = 0. Suppose -5*d + 86 = -d - 2*u, -3*d - 3*u = -x. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 302, 0.5.\nAnswer: -96, 0.5, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 - 248 = -5*n - 28*v, 2*v = 2*n - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4)\/(f\/(f*f**(2\/25)))*f**(3\/4)\/(f*f**3) assuming f is positive.\nAnswer: f**(-617\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -95 and -2210\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y - 2. Suppose g - 5*l - 28 = 3, -5*g + 51 = l. Let h be v(g). Let w = h + -517\/6. What is the second smallest value in w, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 109 + 4. Let z(q) = 6 - 6 + t*q. Let y(s) = -3*s. Let f(k) = -27*y(k) - 4*z(k). Let o(i) = i. Calculate f(o(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8714047.5ms?\nAnswer: 2.42056875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 4*f - 2*f)*(96*f - 24*f + 65*f)*(-34*f - 36*f - 24*f).\nAnswer: 12878*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11150643251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 2*m + 9. Is 21 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/24 - 3*c**3\/2 - 2*c**2. Let a be n(11). Let y(g) = -4 - a*g**3 - 2*g**2 + 1 - 2*g + 3*g**3 + g**2. Calculate y(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*p - 10*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -57781 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 2 + 0 + (10 - (21 + -6))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1236 = 97*l - 101*l. Let n = l - 226. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 155*v**3 + 5*v**2 + 4*v - 36. Let a(z) = 2*z**2 + z - 1. Let k(w) = 4*a(w) - b(w). Find the third derivative of k(q) wrt q.\nAnswer: -930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 29*f**3\/3 - 9. Let b(p) = -2*p. Give t(b(l)).\nAnswer: 116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 49 = -5*u, -2*g + 3*u = -0*u - 1. Let i(t) = 107*t + 2 - 104*t + 3. Let c be -1 + (0 + 0 - 4). Let s(q) = 2*q + 3. Give c*i(z) + g*s(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56939 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21332 - -3002130022?\nAnswer: 3002212020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u = 69*u - 952. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 394440 and 36.\nAnswer: 1183320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 770440136 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(7200)*-3)\/(((-2*sqrt(80) - sqrt(80))*1)\/(sqrt(32) + sqrt(288) + sqrt(32))))**2.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -2*sqrt(539)*6)*-5 + 1 + 1*(-3 + -3 + sqrt(539)*2))**2.\nAnswer: -3990*sqrt(11) + 1751236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 255, 5, -4, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250593688 plus -2?\nAnswer: 250593686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 13. Let q be 246\/41 - (-1 + -2). Let m(h) = 2*h + 7. Give q*m(l) + 4*j(l).\nAnswer: 2*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 5*p. Let t be n(-5). Let d be 4\/(-10) - 222\/(-30). Suppose t = 10*s - d*s - 123. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -14, -43?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -5370.861?\nAnswer: -10741.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4)\/6*-6 + 33 + -37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2521 (base 8) to base 4\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 80\/2848*116\/(-145)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -59. Suppose d = k - 0 - 2. Factor -4*g + 3*g**3 + 22*g - 5*g - 7*g + 6*g**4 - 15*g**k.\nAnswer: 3*g*(g - 1)*(g + 2)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a + 36735 = 31*a. Let n = 15658 + a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7685 = 5*c + g, 14*g - 19*g = -25. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*j - 187, 12*m - 7*m + 2*j - 959 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22107 less than or equal to -22106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 100. Solve c + 4*c = f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -78 - 55 - (-2 + -1). Let r = 69 - 157. Is 26 a factor of (r\/(-55))\/((-4)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Let i be -2 + 57\/2 + q. Let o = i + -30. Is o at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u + 100*u**2 - 2*u**3 + 21 - 10 + 51.\nAnswer: -2*u**3 + 100*u**2 - 20*u + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0776437 * 0.7.\nAnswer: -0.05435059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43456 divided by -64\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -13. Let p(d) = -2*d**2 + d**3 - 13 - 7*d**2 + 24*d - 26*d + 3*d**2 + 15*d**2. Calculate p(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -1, 2, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 9. Let y(o) = 16*o + 4. Let w be y(l). Let a = w + -94. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:34 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133149279?\nAnswer: 3, 4001, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(32\/(-6)))\/(92\/531392*76)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o = 18. Suppose 3*s - o*y + y - 45 = 0, -s - 3*y = -1. Let x be 1*(5 + 0) - 1. What is the highest common divisor of x and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s - 7. Let h be -7 + (-20)\/(-7 - -2). Let t be c(h). Suppose 0 = 6*p - t*p - 18. What is the greatest common factor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 + -0.8. Let i = 0.1 + u. Suppose 3*w - 6 = 4*s, -139*w = -134*w + s - 10. What is the biggest value in 0.1, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -109588*y**3 - 13*y**2 + 1796537 wrt y.\nAnswer: -328764*y**2 - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 7*x - 3*x. Let l be 2 - (-7)\/(-4) - (-51)\/(-12). Let n(p) = 2*p. Give l*a(h) + 5*n(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**2 - 5*k + 0*k**3 + 1\/6*k**4 + 1\/5*k**6 + 0 + 0*k**5. What is the third derivative of s(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501293083, -501293082, -501293081, -501293080, -501293079, -501293078?\nAnswer: -501293077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) - sqrt(156)*1)*5 - sqrt(156)))\/((sqrt(192) - (sqrt(192) + sqrt(192) + sqrt(192)*2)) + sqrt(192)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:13 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 + 5*y**2\/2 - 24*y - 27. Let w be a(-8). Solve -4*z - v = 6, w = -3*z - 2*v + 7*v + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/15*-2)\/((-4)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -13*g**3\/6 + g**2\/2 - 5*g. What is the lowest common multiple of k(-1) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -630, -935, -1240?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -559 and 3.\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2427 = 2613. Round k to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-8 - -2)) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(13) + -5)*6)**2.\nAnswer: -720*sqrt(13) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -25*d - 80 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egggegeggggggegeggg. What is prob of sequence ge?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -191, -348, -505, -662, -819?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 256096167 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 40 = 2*w - 5*w, -5 = -p. Let c = w + 8. Suppose -4*s = 4*l - 104, -5*l + 122 = -0*s - c*s. Solve 4*a - l = -9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let m(w) = w**3 + 13*w**2 - 5*w + 13. Let i(l) = -l**2. Let a(n) = 6*i(n) + m(n). Let p be a(-7). Let v(k) = -20*k - 25*k + p*k. What is r(v(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0 - 1\/35*n**5 + 1\/105*n**6 + 1\/42*n**4 + n + 0*n**2 + 0*n**3. Factor t(p).\nAnswer: 2*p**2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 2*l**2 - 2*l**2)*(3*l**2 + 2*l**2 - 7*l**2) + 2*l**3 + 2*l**5 - 42 + 0*l**3 + 41.\nAnswer: 8*l**5 + 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 29201 + 42333 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4323269.\nAnswer: 1471, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46529, 93062, 139595, 186128, 232661, 279194?\n\"Answer: 46533*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 343*s**4 + 341*s**4 + 575*s**2 + s - 22*s**2 - 686*s**4 to the form w*s**2 + z*s + g*s**4 + x + c*s**3 and give w.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3, -0.4, 0.1, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**3 - 33*h**3 + 71*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 32930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.05 (b) -0.23 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 539*i. Let l(f) = f + 1. Let b(d) = 10*d + 8. Let z(h) = -b(h) + 8*l(h). What is z(u(t))?\nAnswer: -1078*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 < -8165\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + r. Suppose f + 1 = 2*l, 0 = 5*l + 2*f - 5 - 2. Let w(v) = -6*v**2 + 4*v - 6. Let t(i) = l*w(i) + 5*k(i). What is the units digit of t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 12*z = 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -92?\nAnswer: -13\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15161739108 minus 0.00019?\nAnswer: 15161739107.99981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.124 + 3.124. Does z = 367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*g - 27 = -113*g. Suppose g*r = -t + 12, 3*r - t - 4 = 2*r. Solve 5*y - r*j - 15 = 0, 5*y - 2*j - 6 - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 11. Let q be (-15)\/((-3)\/(-6) - 2). List the prime factors of g(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 5. Let p be t(-5). Let r = -39 - -70. Let m = r + -61\/2. Which is the nearest to p? (a) m (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476712 is divided by 608.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 - -2.5. What is the smallest value in -2\/9, 5, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - s. Suppose 2*q = s*n + 49, -72 = -4*q + 2*n - 14. Calculate the least common multiple of q and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = 3. Let q be 0*3*x\/(-18). Solve m + 2*m = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upu when three letters picked without replacement from {u: 3, p: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12183 - -12185. Which is the third biggest value? (a) -0.3 (b) -379 (c) q (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-83)\/(-249)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 + 6*x - 8. Let o be f(5). Suppose 3*j + 3*s = j + o, -5*j + 970 = 3*s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.2 (c) -59\/842 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -30*k + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2507 + 1241 + 1209*m + 1266 in the form f*m + g and give f.\nAnswer: 1209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 5) to base 16\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68774?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26632441 (base 7) to base 2\nAnswer: -1001011001000011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7305567.0243 + -7306057. Let i = -0.0424 - -490.0424. Let c = i + l. Round c to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rel when three letters picked without replacement from wlfalreae.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-24)*(-2 - -2). Suppose 6*d - 796 - 602 = v. List the prime factors of d.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = -36*b - 17 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g - 1. Let d(p) = 8*p - 2. Let z(c) = -7*c + 2. Let s(r) = 3*d(r) + 4*z(r). What is 4*s(h) + 6*v(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let q = 2 - 2. What is the third smallest value in 2\/7, d, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-5 + 5 - 2*x) + 3*x + 3*x - 4*x + 3*x - x - 5*x + 0*x - 3*x + 2*x + x + 1 - 1 + (0 + 0 - 1)*(65 - 65 + 27*x).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 4920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 1. Let g = -2 - l. Suppose 4*f = -3*u - 16, g*f = -2*f - 16. Solve -2*i + 0*i = 4*b, 5*i + 4*b = u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 - 12000*p - 979776 = 0 for p.\nAnswer: -2916, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4*(-4)\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79484057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from {u: 6, f: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w + 6. Let x(n) = 13*n. Give -a(s) + 4*x(s).\nAnswer: 31*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63069499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*g - 440 - 336 + 248 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13327 = 3*g + 2*i, 16*g - 5*i - 13355 = 13*g. Suppose -6*d + g = -8629. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -49 - 6*o + 47 + 7*o. Determine k(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.39, 2\/5, 0.068, 6\/11?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.064*1\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1885 + -1870. Which is bigger: -1.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 8. Suppose 0 = v - 2*q - 5 - 4, 3*v - 57 = -m*q. What is the highest common divisor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(108) + (-2*sqrt(3) + -3)**2 + ((sqrt(9) + -2*((sqrt(9) - (sqrt(9)*-2 + sqrt(9) + sqrt(9))) + sqrt(9)))\/(4*(sqrt(3) + sqrt(6)\/sqrt(2))))**2.\nAnswer: 1371\/64 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*-3)\/(sqrt(48)\/(2*sqrt(6)) + sqrt(8)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-36 - -41 - (9 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one halves of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 519*m + 296*m - 336*m**2 - 71104*m**3 + 71105*m**3 wrt m.\nAnswer: 6*m - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 55. Let i = -13 + a. Let g be ((-64)\/(-10))\/(-2 + (-12)\/(-5)). Solve -2*w + g = -i*h, -3*h - 15 = -w - 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 2*l - 3. What is a(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 9*g + 1. Calculate the remainder when m(-7) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 7:21 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 553 in 28, 0, 4, -0.3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 59380 = 155*d - 160*d, 2*b - d - 39603 = 0. What are the prime factors of b?\nAnswer: 5, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1866*f*r + 15*f + 11*r*u**2 + 136*u**2 wrt r.\nAnswer: 1866*f + 11*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 1:55 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 + 96 - 128) + 211.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(637))**2 + -4 + 1 + -5 - ((sqrt(637)*-1*4 + 3)*-6)**2.\nAnswer: -361511 + 6048*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Suppose 64 = 2*c + 4*y, -x*c = -3*y + 5*y - 54. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -31.7. Let n = t + -1.5. Put n, -1\/4, 5 in descending order.\nAnswer: 5, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 22*o**2 + 97*o + 4. Let l be x(-6). Put l, 10, -4, 1 in ascending order.\nAnswer: -4, l, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at most -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-10 - -2)) + -3 + 3. Suppose -t - 42 = -3*b. Solve 0 = -2*z + 3*i - 2, 5*z = i + i - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*m**4 - 118*m**6 + 7*m + 116*m**6 - 19*m**2 + m**4 - 9*m**2 - 8*m**4 wrt m?\nAnswer: -240*m**3 + 4752*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 24 (b) 1 (c) -0.03 (d) -0.119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4018000 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 61 = -12. Let a(u) = u**3 + 8*u**2 + 5*u + 14. Is a(h) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 (base 9) in base 2?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 12, 2, -77, 0, 5 in decreasing order.\nAnswer: 12, 5, 2, 0, -1, -9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9876.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 2*n - 1. Let t = -10832 - -10920. What is the lowest common multiple of t and k(-4)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146741*w + 95665?\nAnswer: -146741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.2 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -373666 at most as big as -373663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 572715 - 5?\nAnswer: 572710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2513428 + 0.954378.\nAnswer: 2513428.954378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k - k)*(-1087 - 234*k + 1087) in the form a + j*k**2 + s*k and give j.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3296\nAnswer: -1\/3296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3867151.\nAnswer: 23, 383, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 3 + -1 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -63*o**3 - 2*o**2 - o. Let y be -5*(-1)\/((-20)\/((-8)\/(-2))). What is the units digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8620\/1724*(-16)\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 divided by -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1238196696 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12911824 and 2092.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/35 in -5, 1\/3, -0.29, -1\/4, 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l + 5. Let a(c) = -1. Let n(y) = -y**3 - 5*y**2 + 4*y - 8. Let s be n(-6). What is s*a(g) + d(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 12314528.\nAnswer: -1\/12314528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -39. Suppose v*b + 6 = 21. Let p(t) = t**2 - 2*t - 5. Calculate p(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/13))\/y*y)\/y*y*y**4)**38 assuming y is positive.\nAnswer: y**(2546\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 3*b)*(304 + 34*b - 304).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 28. Let v be h(20). Suppose -3*t + 8 = -8*t + m, -3*t = -3*m + v. Which is the smallest value? (a) -5 (b) 4 (c) -0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 2 + 2917*m + 0 + 2.\nAnswer: 2917*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198608 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 591*m - 339. What is c(85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*t**3 - 509*d*t**2 + 9*d*t - 19261*t**3 wrt d.\nAnswer: t**3 - 509*t**2 + 9*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-153) + 14\/126.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34259835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 46826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/(-441) + (-2)\/14.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 10*n**2 + 2*n + 33. What is the remainder when 89 is divided by u(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5*d + 3. Let s be z(5). Suppose -2*k - 5*n + 36 = 0, s*k - 94 = -k + n. Suppose 3*p = -3*u + u + k, -5*u = 2*p - 63. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57173, 114340, 171507?\nAnswer: 228674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115207717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28237, -28231, -28225, -28219, -28213, -28207?\nAnswer: -28201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 109. Let c be ((-20)\/8450)\/(3\/i). Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 340\/4103 - -3\/373. Let v(z) be the second derivative of 0 + 1\/11*z**4 - 2\/55*z**5 + 1\/165*z**6 - 4\/33*z**3 + o*z**2 + 4*z. Solve v(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -218.\nAnswer: -218, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 993, 1987, 2983, 3981, 4981, 5983, 6987?\n\"Answer: j**2 + 991*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40305 divided by 96?\nAnswer: -13435\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 4359169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3199 - 0.1199. Let s = -78.4 - -69. Let i = s - -9. What is the smallest value in n, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1777b9 (base 13) to base 4\nAnswer: 2033202132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b. Let z(i) = -22528*i**2. Determine t(z(h)).\nAnswer: -112640*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051395685?\nAnswer: 5, 17, 19, 651019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/((-5)\/(-65))*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = 17*x - 400. Solve 3*z = 10*z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1007 + 1010.142. Let t = x + -0.142. Let w = 2 - 2.3. Which is the smallest value? (a) t (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, -1, -0.647649?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/2 greater than or equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5739288 and -149\/924.\nAnswer: 441925176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s**4 - 2*s)*(1 - 2*s - 1) - 2*s**5 + 5*s**5 - s**5 - 56*s**5 - 4*s**2 + 19*s**2 + 62*s**5 - 2*s**2.\nAnswer: 10*s**5 + 13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -59166.22042 take away -8.1?\nAnswer: -59158.12042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1193988 + -708203. Let b be ((-421554)\/4 - 4)\/((-1)\/(-2)). Let c = h + b. What is c rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1830 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 3. Let v(p) = 675 - 3*p - 3*p - 668. Determine 14*m(t) - 6*v(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0588727 * -0.0478\nAnswer: 0.00281411506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 5*b - b**3 + (b**2 + 2 - 2)*(42 - 42 + 7*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l - 24. Let s be 8 + -2 + 6\/l. Let k be (-3)\/(-5) + (-51)\/(-15). Solve 0 = -s*b - 1 - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 81 - 165 - 297)*(2*q - q + q).\nAnswer: -1430*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + -180 + -20 + 21. Let h = -83 - x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -3*x + 29*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*c - 93*c**2 + 52*c)*(253 - 123 - 40) to the form v + a*c**2 + x*c and give a.\nAnswer: -8370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 16027*b**2\/2 + 2226009*b\/2 + 76961565\/2.\nAnswer: -(b - 16165)*(b + 69)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4348444 + 282330.\nAnswer: -4066114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -510, 169, 846, 1521, 2194, 2865?\nAnswer: 3534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789115?\nAnswer: 5, 11, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/24 + -1\/2. Let a(y) be the third derivative of -p*y**3 + 0*y - y**2 + 0 + 1\/240*y**5 + 1\/96*y**4 - 1\/480*y**6. What is q in a(q) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**3\/2 - 36*j. Let r(g) = 4*g + 2. Determine r(u(h)).\nAnswer: 12*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 5*c**4 + c**4 + (380*c + 15*c**2 - 380*c)*(196*c + 18*c**2 - 196*c).\nAnswer: 277*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6245, 6244, 6243?\nAnswer: 6242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/6 + a**3\/6 + 3*a**2. Let c be (4 - (2 + 2)) + 1. Suppose -b = u - 3, -2*u + 8 = 5*b - c. Calculate l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttvqvvsqssv. Give prob of picking 1 t and 1 v.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/12)\/((-5)\/335) and (-14)\/(-76) + (-2)\/(-3)*-3?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16651, -33304, -49957?\nAnswer: -66610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20559*k - 39067 wrt k.\nAnswer: 20559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.014 * 0.2\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5141074.94 rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39346050, 39346047, 39346042, 39346035, 39346026, 39346015, 39346002?\n\"Answer: -n**2 + 39346051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 7*m**5\/5 + 18*m - 23. What is the first derivative of r(v) wrt v?\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326369 is divided by 1209.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 56\/20 - 1\/5. Let g be (k - 1)*(-36)\/48. Solve 0 = -g*z + 1 + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290789383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -496 + 514. What is the lowest common multiple of f and 102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*465\/10. Let d = c + 11. Let j be (24\/20)\/((-6)\/d). Solve 3*k = -u - 0*k - 1, -2*k = j*u + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 26 - -53 - 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2359 = 7*a. Let o = -336 + a. Let r(c) = -c**2 + 9*c - 7. Let b be r(7). Solve 3*u = -o + b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2678215 > -2678215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 2\/5, -0.1, 17, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Find the second derivative of 5*o**3 - 5*o**c - 2*o - 3*o**5 wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00892180983 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 7. Suppose 4*o - 136 - 138 = -262. Which is the nearest to 1\/6? (a) -5 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t, -4*t = 4*g - 12. Suppose 2*u + 30 = 4*b, 0 = -5*b - 2*u - g*u + 30. Solve -b + 9 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50416277120705862*y**4\/13 - 50415761284562736*y**3\/13 + 515834383860*y**2\/13 - 135328*y + 2\/13 = 0. What is y?\nAnswer: -1, 1\/293211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007866749 rounded to seven dps?\nAnswer: 0.0000787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133 and 0.8.\nAnswer: -106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 152, 230, 308?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1665*g - 1660. Determine y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647815 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -53. Suppose 5*v + w = z, 3*v - 27 = -5*z + 7*v. Let m(a) = 2*a**3 + 2*a + 2. List the prime factors of m(z).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-42)*-3). Let p = 18 + m. Let g = p - -181. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 + 1896*v**2\/5 - 325798*v\/5 + 323904\/5 = 0. Calculate v.\nAnswer: 1, 224, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 37*q - 108. Let k be h(3). Sort k, 19, -3 in decreasing order.\nAnswer: 19, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(120\/(-12))\/(-30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + 173 + -41 - 139?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3850524 divided by -11?\nAnswer: 3850524\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -230 times 0.4\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/24 - 3*w**3 - 2*w**2 + 49*w. Let i(l) = -2*l + 37. Let n(q) = -5*b(q) - 2*i(q). Give n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 65*g + 5. Let t(o) = -o**2 + o - 2. Give -2*t(c) - w(c).\nAnswer: -2*c**2 + 63*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1899 - 445. Let t = -9049 - -60833\/8. Let h = v + t. Find the common denominator of -73\/10 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 10 - 2*q**4 + q**2 - 4 to a*q**3 + o + u*q**4 + p*q + b*q**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 41. What is the closest to m in -2\/5, 2, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106918833 a multiple of 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 15*f - 18. Let c = -1975 - -2023. What is the least common multiple of h(13) and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 + 2. Let g(k) = 5 - 6*k - 2*k**x + 14*k + 4*k**3. Let a(v) be the second derivative of v**5\/20 + v**3\/2 + v**2 - v. What is -8*a(o) + 3*g(o)?\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2 + l - 2*l + 2*l - 2*l. Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118935*z**2 - 59824*z**2 - 59150*z**2.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 926*d**4\/9 + 39010*d**3\/3 + 244166*d**2\/9 - 835708*d\/9 + 158480\/3 = 0.\nAnswer: -566, -4, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 65*q + 381. Let u be v(-62). Calculate the greatest common factor of 756 and u.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n - 1. What is y(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i - 3*i)*(-3*i + 0*i - 4*i)*(4 - 3 + 0).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -8, -3\/130, 1\/29, -14.7 in decreasing order.\nAnswer: 1\/2, 1\/29, -3\/130, -8, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 780*n**4 + n**3 - 3*n**2 - 23758*n wrt n?\nAnswer: 9360*n**2 + 6*n - 6","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 {s: 1, i: 2, j: 5, z: 1, d: 8}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 128622843?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141*4.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 1.6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5011*o**2 + 12*o - 18*o + 4889*o**2 + 0 + 20. Let z(n) = n**2 - 2. Let u be z(3). Let c be t(u). What is c rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -201609332?\nAnswer: 60482799.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 632 = -72. Is 6 a factor of z\/6 - 28\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.431, -0.06, -3\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*n + 5*x - 3, -5*n - x = 4. Let c(t) = t**2 - 9*t + 7. Let q be c(8). Is n != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/286 - (-112)\/(-9360)*-23.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106616 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 233916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25271\/9 + -2801. Calculate the common denominator of a and 44\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121040 divided by 3240\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocooocoooo. Give prob of sequence coc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 58*a**3 - 5*a**5 + 142*a**3 + 180*a - 336*a**2 + 9*a**5 - 23*a**4 - 25*a**4 = 0.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Is 3\/(r + 2) + 21 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 223 = -28*i. Let c = -1114\/5 + i. What is the closest to 46 in 0, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 14*p - 29*p + 12*p + p**3 + p**4 - p**2 to the form t + s*p**4 + a*p + f*p**3 + x*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130044 (base 7) to base 3.\nAnswer: 21012100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6759 is divided by 6505.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-5))\/o)**(-9))**15 assuming o is positive.\nAnswer: o**675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 149523*h**2 - 1. Let u(z) = 61*z**2. Determine y(u(q)).\nAnswer: 556375083*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 748.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 36 + 46 = 0. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/71925 and 74\/175?\nAnswer: 71925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3926*l - 137356. What is a(-35)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 65124550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**6\/660 + j**5\/110 + j**4\/66 - j**2\/2 - 3*j. Let r(d) be the first derivative of b(d). Find h, given that r(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 72139862 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/10 + 6\/15. Let m(k) = k - 2. Let g be m(t). Let a(q) = q**2 - 5*q. Let v(w) = -2*w. Give g*a(u) - 5*v(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19667 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6485*q - 6. Let m(y) = 473389*y - 441. Give -147*a(v) + 2*m(v).\nAnswer: -6517*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.5881us in seconds?\nAnswer: 0.0000475881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 48 = a. Calculate the remainder when a is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*z = 17, 3*z - 9 + 18 = 3*g. Suppose s - 806 = -g*h - s, 0 = -2*h + 3*s + 330. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -226, -507, -898, -1405, -2034?\nAnswer: -2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w - 87. Let h be c(-7). Suppose -13*t - h = 9. Put -164, t, -3 in ascending order.\nAnswer: -164, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98373\/99 + 16\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*l + 60. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -501 - -504. Is -90\/11 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 = 83810*z - 83871*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 6*sqrt(133) - sqrt(133))*-4)\/sqrt(7).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let x(f) = -4*f - 3. Let y(v) = -x(v) - 2*z(v). Let l(b) = -b**3 - 5*b**2 + 7*b + 3. Let n be l(-6). What is y(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibybfifyiif. What is prob of picking 1 b and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16817*f**2*n - 86*f**2 + 9493636*n with respect to f.\nAnswer: -33634*f*n - 172*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -46267 > -231339\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 1169*i**4 - 17*i**3\/3 - i**2\/2 + 4*i + 1774. Find the third derivative of m(s) wrt s.\nAnswer: 28056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 6 + 2. Let b = 1 - s. Suppose -b*q + 59 = 4*l, 0 = -4*l - 5*q + q + 60. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -54. Let q be 2\/6*v*-9. Suppose -k - 22 = -n + k, q*n + 4*k = 66. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26432650?\nAnswer: 2, 5, 503, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 490*u - 615. Let m = 92 + -86. Let w(q) = 35*q - 44. Let c(a) = m*p(a) - 85*w(a). What is the derivative of c(r) wrt r?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*c**3 - 2)*(-2*c**2 + 4*c**2 - 4*c**2) - c**5 + 0 + 0 + (5*c**2 - 2*c**2 - 2*c**2)*(-3*c - 2*c**3 + 3*c).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1366 + -1341. Suppose -4*t - 47 = 37. Let l = 30 + t. Calculate the remainder when v is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 54 = 2*j, -3*g - g - 36 = -j. What is the common denominator of -11\/7 and 54\/j*(-50)\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + 18 - 10*u - 2 - 15 + 1983*u**2.\nAnswer: 1983*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*d*f**3 + 3*b*d + 2*b*f + d**2*f**2 + d**2*f - 7*d**2 + 2*f**3 - f**2 wrt f.\nAnswer: -12*b*d*f + 2*d**2 + 12*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 461 and 60852.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/77*(-33)\/6*4\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/3 - (-2)\/3. Suppose -2*q = -5*s + 5, -s = -2*q - 2 + h. Let c be -7*(2 + (-17)\/7). Calculate the highest common divisor of s and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24999, 199883, 674549, 1598883, 3122771, 5396099, 8568753, 12790619?\n\"Answer: 24981*x**3 + 5*x**2 + 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 13*p**2 + 11*p + 1. Let u be y(13). Suppose u = -10*x + 14*x. What is the remainder when x is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 16426 = -5899. List the prime factors of f.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -103*v**3 - 5*v**2 + 9*v + 29. List the prime factors of l(-3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 10f2?\nAnswer: -10e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -272.27?\nAnswer: -272.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**5 + 2*u**5 - u**5)*(5 - 2 + 9).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13774 and 6958?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -20. Is -2\/53 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 - 55*b**4 - 674*b?\nAnswer: -20*b**3 - 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 20*h**2 + 6*h + 12. What is k(19)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 13) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1047541 and -119\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40622 and 162488?\nAnswer: 162488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38640 = -12*h - 10764. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 a when four letters picked without replacement from {l: 4, a: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/6 + (-305)\/15 + 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, d: 1}. What is prob of picking 1 d and 2 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (34\/51)\/(2\/15981) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-60)\/(-50)*(-250)\/(-15) and 46.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 + 320*c**3 + 954*c**2 + 2*c - 1 wrt c.\nAnswer: -24*c + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/(-20))\/((-2)\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28194 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16513*o**3 - 57089*o**3 - 35310*o**3.\nAnswer: -75886*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.8 and 0.5.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let p(v) = -63*v**2 + v - 1. Let d be p(1). Let i be (54\/d)\/(8\/(-14)). What is the closest to w in 2, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*h + 588 = 836*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 109895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352041459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6) - 25\/(-6)) + 14\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194\/(31428\/10935)*(-1)\/(-25).\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9*(-14)\/(-21))\/2 + -52)\/(1 - 0).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09114 - -7484475068.\nAnswer: 7484475068.09114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 8) to base 4\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14666381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 14*a + 12. Let m(s) = -4*s**2 - 13*s - 11. Let k(y) = 3*c(y) + 4*m(y). What is the remainder when 25 is divided by k(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = 30*z - 640 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65140 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g = -51*g + 258. Let f = g - 40. Solve -3*r = -z, f*z = 2*r - z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-12)*(-2)\/6*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m = 131*m + 142*m + 646 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15708*f*s**5 - 1607*f*s**2 wrt s.\nAnswer: -942480*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 73 = -7*u. Let o be u + (-4)\/1 - -3. Solve 2*q + o = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 667*r + 198. Let k be w(-95). Put 0, -58, k in descending order.\nAnswer: k, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.9 and 0.1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 2303, 5121, 9025, 13991, 19995?\nAnswer: 27013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74297*y**3 - 424296*y**2 wrt y?\nAnswer: -445782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158529757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 8*z - 5. Give k(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (-19 + 30) - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 32702397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 222631833 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1579853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 309712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -68*d**5 - 827092*d**4 - 2516292872*d**3 - 7833861088*d**2 + 9168056320*d + 1182924800 = 0.\nAnswer: -6080, -4, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - s - 32 + 49 = 0, 4*i = 2*s + 46. Suppose -18*m + 9352 = -i*m. What are the prime factors of m?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1573957 is divided by 262?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -336 (c) 0.8 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 762330083 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 4*v**2 - 3*v**3 - 5*v**2.\nAnswer: -3*v**3 - 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1345 + 1330 = 0. Let b(f) = 6*f - 7. Let n(j) = 17*j - 21. Give s*n(a) - 8*b(a).\nAnswer: 3*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/7 - 68*y**3 - 9586*y**2\/7 - 2536*y - 8640\/7 = 0.\nAnswer: -216, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 3. Suppose -2*n - 15 = n, 4*t - 24 = 4*n. Let p(g) = -g**2 - 1 - 2*g + 0*g - 2*g + 3*g. Calculate t*p(q) - f(q).\nAnswer: -q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.045 - 17. Let y = g - -0.03. Let m = y + -0.0750062. Round m to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let v(y) = y**2 - 85*y. Calculate -4*k(j) - v(j).\nAnswer: -j**2 + 81*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -409\/10 + 41. Let c be (((-6)\/(-18))\/(7\/(-2)))\/((-32)\/(-56)). What is the second smallest value in -4, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 4*c**2 - 4*c - 6. Let m be p(-4). Suppose 0*k - k + 2*y + m = 0, -3*y = -5*k + 22. Solve -k*b + z = -8, 3*z = -4*b + 6 - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1237092 or -1237091?\nAnswer: -1237091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0248295 and -76.8?\nAnswer: 76.7751705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 4. Suppose -3*f = -o - 2*f + 8, -5*f + 10 = 5*o. Suppose 3*l - 4*l - 14 = -o*j, 2 = 2*l. Determine p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157*s + 395*s = 22098 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 35. Suppose l*y + y + 42 = 0. Let f be (1 + -3)*(-3)\/y. Let r(z) = 2*z - 1. Give r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55639, -222477, -500541, -889831?\nAnswer: -1390347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 32143?\nAnswer: -32231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 12) to base 13\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.30421.\nAnswer: 0.91263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s + 74*s - 3*v + 48 = 0, -3*s + 41 = 5*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b - b**4 + 1\/3*b**6 + b**2 - 2\/5*b**5 + 4\/3*b**3 + 5. Determine p so that w(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11102, 44496, 100134, 178004, 278094, 400392, 544886, 711564?\nAnswer: 900414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**3\/6 + 9*a**2 + a. What is the tens digit of m(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let v = -4.08 - -4.1. Let m = 0.12 - v. Sort m, -1\/4, a in descending order.\nAnswer: m, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2042, 4083, 6124?\nAnswer: 8165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -2*a - 28, 4 = 2*o. Is 14 a factor of (-21)\/(-35) - 414\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5712 and -24\/133?\nAnswer: 108528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*m - 63*m - 63*m - 66*m - 14*m**2 - 62*m - 1663*m**3 wrt m?\nAnswer: -9978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/sqrt(5) + 1 - (2*(sqrt(45))**2 + sqrt(605) + -1).\nAnswer: -88 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 237. Suppose -3*o - c = -6*o. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(-3\/4)*p*p*p*p**(-12))\/((p*p*p**4)\/(p\/(p*p*p**(4\/7)))))**(-32) assuming p is positive.\nAnswer: p**(2872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -1\/6, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/25, -8676, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by 2\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -5*u**4\/12 - u**2\/2 + 9171*u. Let b(x) = 14*x**2. Calculate b(s(g)).\nAnswer: 350*g**4 + 140*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose -5*b + 265 = -n*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9)*-3)\/((-40)\/(-180))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.61 - 0.81. Suppose -2*x + 8 = -4*y, -5*y - 3*x = -0*x + 21. Which is the nearest to -3? (a) 4 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -1120, -0.36, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 8, -1318 in increasing order.\nAnswer: -1318, 8, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-6)*(-10)\/(-40) + 0. Let k = -1205 - -1205. Which is the second smallest value? (a) k (b) 0.4 (c) -4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.4. Let h = 1.7 + -2.1. Put h, r, -0.2 in decreasing order.\nAnswer: r, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7994\/6255 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14212 - -3.14212. Which is the closest to 0.1? (a) p (b) -37 (c) 0.1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 68*h - 15. Suppose -5*g + 5*p - h*p - 113 = 0, 0 = -3*g - 5*p - 43. Suppose 2*r - 7*r - 20 = 0. Put 0, g, 1, r in increasing order.\nAnswer: g, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 108 = 8*s. Suppose 7*h = 349 + 554. Calculate the remainder when h is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 28. Does 8 divide 39\/p*(13 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, 0.32, 2\/23 in ascending order.\nAnswer: 2\/23, 0.32, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 574187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**5 - 11*q**4 + 30068*q**3 - 6679*q**2 + 4*q + 57 wrt q?\nAnswer: -360*q**2 - 264*q + 180408","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(2 - 3 + 3)*(39*p**2 + 44*p**2 - 17*p**2).\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*60*(1 + 0). Suppose h = -5*k - 30. Let d be (-30)\/135 - (-14)\/k. Which is smaller: d or -2\/47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 - 2*x)*(0*x - 2*x + x) - 3 + 3 + 3*x**2 + 3*x + 5*x**2 - 3*x)*(-193*x + 317*x - 174*x) to the form v + y*x**2 + w*x + p*x**3 and give p.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041613201?\nAnswer: 47, 1223, 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6512629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -11. Suppose 24*l - 64 = -16. Solve -14 - 2 = -l*b + 3*n, 0 = -4*b + n + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2071 and 70.\nAnswer: 70.2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/5 + h**4\/6 + h**3\/6 - 19*h**2\/2 - 632*h. Calculate p(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + o - 28\/3.\nAnswer: (o - 4)*(o + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 99449.36 kilometers?\nAnswer: 99449360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*q**3 + l**2*q**2 + l**2 + 10*q**3 + 428*q + 2 wrt q.\nAnswer: 6*l**2*q + 2*l**2 + 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 6*h - 11*h + 6*h + 0*h as q + t*h and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1211749 - -5.265\nAnswer: -1211743.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 6. Let i(v) = -3*v**3 + 9. What is 5*i(x) + 7*y(x)?\nAnswer: -x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let b(i) = -137905*i. Determine b(u(q)).\nAnswer: -137905*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*d + 3*d, 2*a - 6 = -2*d. Let q(f) be the first derivative of 12*f + 1\/3*f**3 + 0*f**a + 11. Differentiate q(k) wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1868.4 - -1868. Suppose -2 = -3*h + 4. Which is the smallest value? (a) h (b) n (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 458 by -54.\nAnswer: -229\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -14922 + 1560. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/(-15))\/(-2 - 12\/(-5)). Let w be (-2)\/(a\/(-6) - 0). Solve 3*c + 3 = -w*p, -2*c + 0*c - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-112) + (-2)\/7. Let v(t) = -9*t**2 - t - 3. Let q be v(-1). Which is the second biggest value? (a) 2\/11 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/i**(-1\/8)*i**(-4\/17)*i\/(i**(-13)*i) assuming i is positive.\nAnswer: i**(2569\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.51863g to tonnes.\nAnswer: 0.00008551863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 111*g**2 + 4329*g + 54878. Let p(v) = -5*v**3 + 334*v**2 + 12988*v + 164632. Let c(j) = 8*b(j) - 3*p(j). Factor c(w).\nAnswer: -(w + 38)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, 12, 1, -4, 6 in decreasing order.\nAnswer: 12, 6, 1, -4, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -317206 (base 9) in base 3?\nAnswer: -100121020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (327*k + 1 + 88*k - 8*k)*(1 - 3 + 0)*(2 - 4 + 0) in the form i*k + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3354 and 2262.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 373, 534, 747, 1030, 1401, 1878, 2479?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102605, -100765, -97697, -93401?\n\"Answer: 614*c**2 - 2*c - 103217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.538711 rounded to two dps?\nAnswer: -282.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + l - 3. Suppose 2*d - 7 = -1, -3*n - d = -3. Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.97 - -0.3?\nAnswer: 22.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 0*j - j = 11, -11*x + 16*x = -4*j - 39 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*t = -12, -7 - 6 = -4*o - 3*t. Suppose -2*k - 2*k = 5*u - 30, 2*k - 12 = -u. Let w = k - -1. Sort -3, w, o in descending order.\nAnswer: w, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50067848 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -24*w + 0 + 19\/12*w**4 + 0*w**2 + 1\/6*w**3. Find the second derivative of f(q) wrt q.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.624 + 379.\nAnswer: 379.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*z)*(0*z - 5*z + 3*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11864*c**3 + 3*c**2 - 7*c + 3. Let k = 131 + -130. Is h(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66205.29 to the nearest one hundred.\nAnswer: -66200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzao when four letters picked without replacement from {z: 7, o: 1, a: 11}?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -1552, -5647, -13762, -27271, -47548?\nAnswer: -75967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + 81\/6. Suppose -u + 2*i = -3, 4*u = 4*i + 16 - 0. Suppose -u = -6*l + t. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -250668.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4\/2 + z**3 + 2*z**2 + 4*z - 3999. Let u(n) = -n - 1. Determine h(w) + 4*u(w).\nAnswer: 2*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -145141780 to the nearest 100000.\nAnswer: -145100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82864 + 157126. Suppose -f = -3*s + 5*l, -s - s = l - 160002. Round s to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:46 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-5))\/(n\/n**(-4))*(n*n*n\/n**1)**42)\/((n\/(n*n**(-2\/7)\/n))**27*(n*(n\/n**(2\/5))\/n*n)**(3\/2)) assuming n is positive.\nAnswer: n**(1711\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 555033520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 + 3787352?\nAnswer: 3787422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + 11*o**2 - 25*o - 24. Let m be y(-4). Let w(h) = -2*h**3 - 7*h**2 + 3*h - 4. What is w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -201102?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535\/191 at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 + 5*m + 6. Let i be s(5). Let c be 4 - 1\/((-1)\/(-2)). Let u be c\/(-4)*(0 - 48). What is the greatest common factor of u and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-8)*1*(-260)\/(-52)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/2 + 935*j**4\/2 - 11491*j**3\/2 - 120383*j**2\/2 - 53979*j = 0. What is j?\nAnswer: -947, -6, -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 5:33 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21409 or 21408?\nAnswer: 21409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t + 804. What is l(-38)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -375 + -32?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 3*v + 12. Let g be q(5). List the prime factors of 42 + g\/(-4)*6.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18184386*m**4 + 15*m**2 + 92784 wrt m.\nAnswer: -436425264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9\/4, 321, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 6*u - 5*f - 7, 226*f - 221*f - 10 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:01 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 26*q + 10. Give v(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + c)*((-2 + 1 + 0)*(-2*c - 4*c + 4*c) + 3*c + c - 2*c + (-2 - 4 + 3)*(-583*c + 341111 - 341111)) in the form k + j*c**2 + l*c and give j.\nAnswer: 1753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 10*m**3 + 29*m**3 + 22 + 15 - 17*m**3 as f + s*m**2 + o*m**3 + i*m and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6464*j = -2427*j - 8074 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2448) - (sqrt(17) - -1*sqrt(17))*5)*-4)**2.\nAnswer: 314432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62527, -125462, -189035, -253564, -319367, -386762, -456067, -527600?\nAnswer: -601679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 - 3*x**3 - 12*x**2 - 16*x - 132. Determine u so that z(u) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/280)\/((-16)\/504).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142651\/137 - -80947405\/77268. Let o = i + -37\/47. Calculate the common denominator of o and ((-4)\/(-6))\/(136\/(-57)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:10 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 3 + 0 + (sqrt(405))**2 + 1.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -13, -3, -4.\nAnswer: -13, -6, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 0 - 3*y + 4*y + 3. Let n be c(0). Suppose -j = -v - 52, -n*j + 2*v = -122 - 33. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54733207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123 - -104 - (22 - -3)) + (-15 - -1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let x = 19 + 3. Let g = x - 20. Which is the closest to g? (a) o (b) 4\/3 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggv when four letters picked without replacement from {g: 6, v: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 18*d - 12. Put d, 24, 4, 2 in descending order.\nAnswer: 24, 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (-18 - -38 - 21) - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 269390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37560 or 37561?\nAnswer: 37560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/16)*r*r)\/((r**(-1\/8)\/r*r*r)\/r))\/((r*r**15)\/r*r**(-14)))**(-9) assuming r is positive.\nAnswer: r**(-315\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 5*g**2 - g**2)*(121*g + 651*g - 204*g)*(-2 + 2 + 1).\nAnswer: 1704*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 24 = -3*d - 0*d, a - 11 = 2*d. Solve -u + 4*q = q - a, 4*u - 4*q = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.016*384\nAnswer: -6.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 20 - 101)*(648*g**3 - 2 + g**2 + 642*g**3 - 1289*g**3).\nAnswer: -28*g**3 - 28*g**2 + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91*a**2 - 4*a - 580.\nAnswer: -182*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**4 - 110*t**3 + 800*t**2 - 1924*t. Let p(r) = 24*r**4 - 220*r**3 + 1600*r**2 - 3847*r. Let g(l) = -7*i(l) + 4*p(l). Solve g(f) = 0.\nAnswer: 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 27 = -p, -4*p - 2*y + 23530 = 23534. Determine d so that 171\/4*d**4 + 15\/4*d**5 + 15*d**2 + 54*d**p + 0*d + 0 = 0.\nAnswer: -10, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*q - 1264, -4*q + 3*x + 1010 + 10 = 0. What is the least common multiple of q and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(-1 + sqrt(5) + -3) + -2*sqrt(15)\/sqrt(3) + 4)**2.\nAnswer: -1344 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 = -2*h, 0 = 3*r - 7*r - 16. Calculate the remainder when 55 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.825188 times -0.19\nAnswer: 1.48678572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.0195548\nAnswer: -0.0782192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-9)\/2 + (-7)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 944979?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 861.380172 + -427.380403. Let u = 434 - r. What is u rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014552794 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 1550909 + 1550909 + 15*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose 0 = -5*v + 3*v + 16. Solve k = i + i + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = 3*k + 33, 20 = 5*k. Let l be p\/6 - 13\/(-2). What is the second derivative of 62*j**3 - l*j + 11*j + 3*j - 22*j**3 wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530352 (base 6) in base 8?\nAnswer: 1033334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46720 by 1209.\nAnswer: -46720\/1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 - 76. Let s = -174 + u. Calculate the smallest common multiple of s\/(-12) - 9\/12 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z - 2. Let f be (-32)\/(-6)*(-6)\/4. Let x be 2\/f + (-114)\/24. Is o(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35503?\nAnswer: 13, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 223?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128843 is divided by 9203.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.3, 3\/2, -2\/39 in descending order.\nAnswer: 12, 3\/2, 0.3, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10 and -115\/153918?\nAnswer: 769590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - 3*sqrt(64))\/sqrt(8) - (sqrt(1152) + 2*sqrt(1152)))\/(-1*(sqrt(400) - 1*sqrt(400)) - (sqrt(400)*-2*5 + sqrt(400) - sqrt(400))).\nAnswer: -19*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 26*o**2 - 35*o - 12. Let f(b) = 79*b**2 - 105*b - 42. Let r(v) = -4*f(v) + 14*y(v). Find the second derivative of r(z) wrt z.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 5*q**2 + 3*q + 2. Suppose 2*g = -0*g + 8. Is 30 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + 42 - 41) + 2 + -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r = 16 - 112. Suppose -o - 87 = a - 290, r*o - 4*a - 588 = 0. Is o a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 750*w + 1695 - 547 - 753*w.\nAnswer: -2*w**3 - 3*w + 1148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -326, -1116, -2680, -5276, -9162?\nAnswer: -14596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-16 + 6)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 6*o**2 - o - 4. Calculate the remainder when 76 is divided by f(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4741412 to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times -63?\nAnswer: -0.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 41, 34, 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 1512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1, 3*d - n + 207 = 1259. Let w be (-3 + 1)\/((-54)\/d). What is the highest common divisor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -78432347?\nAnswer: 78432349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 35097*f + 2316339. Determine t(-66).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 194165 - 0?\nAnswer: 194165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 = 21*g - 2*g + 419 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let o be (-3 - z) + 21 + -3. Let l(a) = 2*a**2 - 3*a + 3. Let p be l(2). What is the greatest common divisor of o and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 3*l + 0*l)*(-12 - 7 - 9).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 1.6. Let t = 2 + s. Sort t, -1, 4 in ascending order.\nAnswer: -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 1848.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d + -4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - 6 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 93\/6 + (1 - 18\/12). Sort -2, 4, t, -5 in increasing order.\nAnswer: -5, -2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/3, 7 in descending order.\nAnswer: 7, 4\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18.31323 and -2?\nAnswer: 16.31323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*l - 19 = j, -2*l + 2 = 0. Suppose 3*s = k + 138, -j*s = -4*k - 218 + 71. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8385988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 309 + -7415\/24. Let k(t) be the second derivative of 0*t**2 - 1\/48*t**4 - t - u*t**3 + 0. Determine g so that k(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*x**2 + 21*x**3 + 27*x**2 + (15*x + 8*x - 9*x)*(5*x**2 - 3*x**2 - 3*x**2))*(2 + 2 - 1) + (-2*x + 2*x**2 + 2*x)*(0*x + 2*x + 0*x).\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3 = -v. Let k = v - -8. Suppose -5*s = -2*x + k*x + 266990, 0 = 5*x + s + 444998. Round x to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -5.6. Let r = 1.7 - 1.9. What is the smallest value in v, r, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -640 and -0.85.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5012 + 20872 = 20*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 187, 409, 691, 1021?\n\"Answer: -2*v**3 + 48*v**2 + 20*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.8998 millennia in decades?\nAnswer: 58289.98","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249996, -249980, -249954, -249912, -249848, -249756, -249630?\nAnswer: -249464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-4))\/((-20)\/4). Let k be 132\/(-15) + (-99)\/(4 + -15). What is the third biggest value in -2\/3, k, 4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxxu when four letters picked without replacement from {u: 2, v: 4, p: 1, x: 10}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Suppose -4*x + 2*x = -a. Solve x*u - 15 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -130*n**4 + 10*n**2 + 7*n + 4217495 wrt n?\nAnswer: -520*n**3 + 20*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put 656, -2, 35 in increasing order.\nAnswer: -2, 35, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46514304 - 46514303 - 46514300 - 12*i + 186057213 - 46514306.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*o = -32, -40 = -5*x - 4*o + 1. Suppose -2*k + 6 = w, 2*k = -4*w + x*w - 6. Suppose 3*j = j + 6. Solve w*q - j*q - 6 = a, 3*q = 5*a + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -16 - 0. Suppose -2*l - 1 - 1 = 0. Let i be ((1 + 3)*-6)\/l. What is the greatest common divisor of i and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 + 5*n**2 - 10. Let l(a) = a**3 + a**2 + 1. Give -f(q) + 5*l(q).\nAnswer: q**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4 - 373575*x**3 + 1867710*x**2 + 2988460*x - 4482600 = 0.\nAnswer: -2, 1, 6, 74710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -217201.6?\nAnswer: -21720.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*s - 10*g + 24, 0 = s + 2*g - 7. Let l be 1\/16*s*1. Let o = 479 + -480. Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28670000 rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -14393.\nAnswer: 43\/14393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1. Let r(d) = -2*d - 12. Let o = -2491 + 2488. Calculate o*h(s) - r(s).\nAnswer: 2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 98, 158, 210, 248?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3245876862?\nAnswer: 2, 3, 113, 173, 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 221?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34517384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by 6043.\nAnswer: 350\/6043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -59.84?\nAnswer: -299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(3 + 2*q - 2*q - 3*q) + (1 - 2 + 0)*(9*q - 5*q - 8*q) to m*q + c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 + -433.4. Let i = 0.14 + -0.34. Let q = -158 + 153. Which is the fourth smallest value? (a) 4 (b) q (c) k (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 0, 137*i - 4*h + 6 = 134*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2328612*b**3*j + b**3*w**2 + 5*b**2*j*w - 2839*b**2*w**2 + b**2*w - 6*b**2 - 2*j*w wrt b.\nAnswer: -13971672*j + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {b: 2, y: 6, x: 1, l: 2, p: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*1\/4*-2. Let s(r) = -r**2 - r - 4. Give s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7867.\nAnswer: 39335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -815979 divided by -3\nAnswer: 271993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 45.\nAnswer: 5*(q - 3)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8062 + -8066. Let x(m) = -4*m**3 + 3*m**2 + 6*m. Let g be (-5)\/(-1) + (3 - 3). Let o(u) = -3*u**3 + 2*u**2 + 5*u. Calculate g*o(j) + l*x(j).\nAnswer: j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 2*y = 82, 2*j - 178 = y - 318 + 164 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 47*l + 1319. Let s be m(-28). Solve 16*c - 20*c + 1 = s*u, -28 = -2*c + 4*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111\/40 - -19\/8. Let b(s) = -s**3 - s**2 - 2*s. Let m be b(0). What is the closest to m in -1, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4 - 30*l**3 + 276*l**2 - 754*l + 507 = 0.\nAnswer: 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -41. Suppose -k = 2 - 4, 4*a - n = -3*k. Suppose -5*m - 9 = -3*z, -3*z + 0*m + a = -4*m. Let u(r) = -5*r**2 - 1. Calculate u(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1390, -1391, -1392, -1393?\nAnswer: -1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 + -1322\/5. Find the common denominator of -43\/8 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*a - 6 - 15, -v - 2*a = 12. Is 2\/(-1) - -42 - v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1836 and 26\/4247875.\nAnswer: 458770500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/4, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i - 223 = 5*w - 57*i, -w - 59 = 4*i. Suppose -x - 2*x - 270 = 0. Let m = w - x. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -841*h + 3261. Let d(c) = -837*c + 3260. Let q(u) = -3*d(u) + 4*y(u). Differentiate q(n) wrt n.\nAnswer: -853","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 148. Let y(u) = u**2 - 2*u - 2. Calculate y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(3\/(-4))\/((-3)\/(-14)). Let w(b) = -8*b**2 + 1 + b**3 + 3*b + 4*b + b. Determine w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -2 + -1 + -4)**2.\nAnswer: -112*sqrt(5) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.17, -2, -3, -1.255, -1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6052 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (1 + 1)) + -19 + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176f (base 16) to base 13\nAnswer: -2966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 36120.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111678 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -973*r**5\/60 - 1348*r**2. Let i(l) = -3*l. Determine z(i(g)).\nAnswer: -8757*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*v = -v - 25, -2*v = -2*z + 6. Let r = z + 1. Solve -3*p + 2*b - 3 = 0, -3*b + r*b = -4*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 19*d - 8. Let y be g(13). Let b = y + -165. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(-345))\/((-136)\/(-63240)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsffbnnibn. Give prob of picking 1 n, 2 b, and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**7\/h*h*h*h\/(h*h*h**(-4)))\/(((h*h\/(h\/((h**(-8)*h)\/h))*h*h)\/h*h)\/h**(-6))*(h**(-1\/2))**(-40)\/(h\/h**(-3\/7)*h**(1\/12)*h) assuming h is positive.\nAnswer: h**(2477\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -132.48. What is a rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13285 + -318935\/24. Let v = 179\/2 + -1603\/18. What is the common denominator of q and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 134 - 1154. Let s = a - 149. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((-28)\/504) - -584. Let c = x + -571. Let b(l) = -l + 14. Calculate b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390 + 253. Let y = -12 + n. Let c = -145 - y. Solve -2*o - 4*m = c, 5*o - 7 = -4*m - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/18)\/((-2)\/(-6)). Let w be (-46)\/(-8) - (-6)\/q. Find the third derivative of m**2 + 3*m**5 - 4*m**w + 2*m**5 + 2*m**5 wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15568 and 4016?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 21. Let t be (-2)\/10 - r\/(-5). Suppose 2*o = o - 4. What is the nearest to 1 in t, 1\/10, o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 148*f**5 - 35*f**5 - 268*f**5 - f - 458*f**5 wrt f.\nAnswer: -12260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6769*n - 364501. What is j(54)?\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v - 8. Suppose -d + 10 + 4 = 5*b, 2*b - 12 = -2*d. Let x(g) = 2*g - 2. Let f be 1 + (-8 - (1 - -1)). Calculate b*w(q) + f*x(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 688\/48)\/(39\/(-117))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 780951, 780950, 780949?\n\"Answer: -v + 780952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25416957 to the nearest integer?\nAnswer: 5042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693)\/(sqrt(22)\/sqrt(2)))\/(sqrt(700)*1 + sqrt(700) - sqrt(700)))\/((sqrt(18) - 4*sqrt(108)\/sqrt(6))\/((sqrt(36)*2)\/sqrt(6))).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4 = 0, 45*q - 47*q - 12 = -3*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 6. Let w be q(6). Let g(o) = -o**2 - 5*o + 3. Let n be g(-5). Find the third derivative of 13*t**3 + t**6 - 2*t**2 + w*t**6 - 13*t**n wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 1161927.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 66 + 4*t - 75.\nAnswer: 4*t - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s + 136 = -0*p, 4*s - 124 = -2*p. Suppose 0 = 7*m - 2*m - 70. Calculate the greatest common divisor of m and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2 + 362000*x + 441. Let c = 2 - 2. Let g be d(c). What is g rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h**3 + 17*h**2 + 27*h - 9. Let y(b) = 4*b**3 - 4*b**2 - 7*b + 2. Calculate -2*i(n) - 9*y(n).\nAnswer: -2*n**3 + 2*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (-5 + 4)*1\/(-1)*18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/48*4*(-6)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksu when three letters picked without replacement from uksuuuks.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-8))\/(0 + 2). Suppose n = 5*t + 3*x - 15, 0 = -5*t - 0*x - 5*x + 25. Solve t = -l - 4 + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*(984\/120)\/(-3*(-52)\/(-195))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 2*k + 1. Suppose -5*m - 4*x = -15 - 0, -5*x = -4*m + 12. Let c be 2\/4 + m\/2. What is the units digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 5*b**4\/24 + 3*b**2. Let x(u) = -u**2 - 1. Let z = 31 - 32. Let n(c) = -2*c**2 + 2. Let p(h) = z*n(h) - 2*x(h). Give k(p(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*o - 615*o = 6656 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/3264 and -83\/256?\nAnswer: 13056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/32 - (-3)\/24. What is the second derivative of -v + 3 + 16*v**3 + 0*v + 21*v**n + 3 wrt v?\nAnswer: 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y - 8. Let h be j(-10). Suppose -h*i + 935 = 59. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y**(-2\/7))\/(((y**(-7)\/y)\/y)\/(y*y**(-6)*y)) assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j*j\/j**(-3))\/(j**0*j)**30)\/((j**6\/(j**(-3\/7)\/j))\/(j**(-2)*j*j*j**(-5))) assuming j is positive.\nAnswer: j**(-276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 605, 2585, 5879, 10481, 16385, 23585, 32075, 41849?\n\"Answer: -u**3 + 663*u**2 - 2*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 + 4*y + 2. Let b be x(-1). Suppose 0 = -4*q + 3*r + 491, b*r = 5*q - 2*q - 372. Calculate the greatest common divisor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 3, p: 4, w: 2, v: 4, l: 1}. What is prob of sequence lv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155997 is divided by 48548.\nAnswer: 10353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a factor of 207045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2 + 10398*v - 10395 = 0.\nAnswer: 1, 3465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + h**4)*(-2*h + 2 - 2 + (0 + 0 + h)*(-4 + 5 - 4)).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 + -45.6. Let z = -40 - r. Let a = -839\/9 + 93. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122605, 245207, 367803, 490393, 612977, 735555, 858127?\nAnswer: 980693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.67 + -28.83. Let u = -30.5 - c. What is the closest to u in -5, 2.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 11. Let q be ((-2)\/(-4))\/(1\/f). Calculate the remainder when 12 is divided by (-33)\/q - (-2)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/445?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, c: 1, a: 5, g: 1, n: 3, s: 4}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716372 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 38*i - 13. Let f(r) = 19*r - 6. Calculate 13*f(v) - 6*w(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/56 + (-18)\/105?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01029439405 to six dps.\nAnswer: 0.010294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*n + 6624, 2*d + 2*d + n = 6626. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 315972*c. Let z(l) = 7*l**2. Calculate z(b(o)).\nAnswer: 698868133488*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -50. Suppose j + 10 = m. Suppose -3*w = j, -3*w + 4 = 3*i - 74. What is the remainder when i is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose 0 = -3*l + 2*l + 16. What is the smallest common multiple of p and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 11. Suppose a = 2*j - 7. What is the tens digit of -7 - -3 - (-2)\/(j\/102)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25201 and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a (base 15) in base 13?\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.15, -0.4, 22262\/9?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21732.\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 68. Suppose -5*f + 20 - u = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 2. Let j = t + 12.3. Let x = j + -1.30000023. Round x to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 331\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68922.941 - -68795. Let l = 128 + d. What is l rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 0.006 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*x**2 + 209*l - 38*x + 1 with respect to x.\nAnswer: 8*l*x - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.8 - -17.785. Let o = b + 1.015. Put -5, o, -3, 4 in descending order.\nAnswer: 4, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 2*y**3 - y**2\/2 + 3*y. Calculate the remainder when l(1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 4 + 10*m - 10*m + 5 - 3. Let w(c) = -7*c - 11. Let t be 9\/(-63) + (-44)\/(-14). Calculate t*w(j) + 5*q(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 143 - 56 + 192 - 2*a**2 + 83.\nAnswer: -2*a**2 + 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.0369\nAnswer: 0.00369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -71457?\nAnswer: -71455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10169.\nAnswer: 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210796 - 210797.3700123. Let g = 1.37 + j. Round g to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 13}. Give prob of sequence aao.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.3. Let s = 2\/75 - 29\/150. What is the third smallest value in d, 2\/3, s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3897123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8*u\/(u*u**1))**(-4\/5) assuming u is positive.\nAnswer: u**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10961009.\nAnswer: 10961009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose -4*t - 4 = 0, -4*j + 7*t - r*t = -21. Solve 3*n - 4*n = -2*p + j, -3*p = -3*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (11 + -12)) + (-4 - (-7 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 533 = -m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 9*g - 20. Let h be m(-5). Suppose h = 5*s - 1 + 16, -5*s = -4*j + 303. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0509\nAnswer: -0.0509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = -2*q - c + 2583, 0 = -5*q + 4*c + 5515. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -2. Let m = l - -1.2. What is the second smallest value in 2\/11, m, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 14*s**2 - 17*s - 33. Let f be j(-15). Let d(t) = 17*t**2 + 4*t - 7. What is the hundreds digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -0.1 (b) -3 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*n + 15141 - 42179 = -653*n + 16066 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.622743l?\nAnswer: 622.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose -r + 5*n + 9 + 9 = 0, 0 = x*r - n - 9. Let j be (2 + -2)*(-27)\/108. What is the closest to 1 in j, r, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12504\/182)\/(-2) - 1. Let r = 5482 - 70890\/13. Let q = r + g. Find the common denominator of 73\/10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/728 and -149\/256152.\nAnswer: 1793064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2244104 (base 5) to base 10\nAnswer: 40529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 158*h**2 - 3*h + 26. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -2, 5, 1, 313 in descending order.\nAnswer: 313, 6, 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*n + 11, 165*x - 162*x + 6 = 3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Suppose -193693*o + 608 = -193655*o. What is the closest to 0 in w, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3096 by -36.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + p = -2*x + x, 3*x + 2*p - 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 + 2*c**3 + 0*c**3)*(-2*c + 3*c - 2*c) - 2*c**4 - 19*c - 30*c + 39*c.\nAnswer: -9*c**4 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 0\/4 - -2. Suppose 2*b = -4*a + 6, -4*a + 16 = 5*b + h. Let l(w) = 13*w + 1. Calculate l(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 - c + 3. Let n(d) = -2*d**3 - 5*d**2 + d - 5. Give 5*g(w) + 3*n(w).\nAnswer: -w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*t**2 + t + 25*t**2 - 2 + 3*t**4 as p*t**3 + y*t**4 + w*t + h + m*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p**4 - 108 + 0*p - 2*p**3 + 0*p**5 + 7*p**6 - 3\/2*p**2. What is the third derivative of g(q) wrt q?\nAnswer: 2520*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -118. Let d(y) = 2*y**3 - 4*y**2 + 2*y. Let c be d(2). Suppose 48 = 5*l - a, -3*l + 3*a = -2*l - c. What is the greatest common factor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896936 is divided by 68985.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 99*a + 1208. Give y(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28000410707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1\/15*v**4 + 0*v**3 + 1\/150*v**5 + 0 - 35*v**2 + 0*v. What is u in k(u) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -0.13, 7, 30, 218 in decreasing order.\nAnswer: 218, 30, 7, 3, 0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvddadxavax. What is prob of picking 2 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/33)\/(7\/(-357)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -639391 or -639985?\nAnswer: -639391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 9*q - 1. Suppose 31 = 4*a - q. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1673 + -5017\/3. Sort v, -0.4, 1.142.\nAnswer: -0.4, v, 1.142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.31 - 0.31. Let k = 1.4 - 0.8. Let d = 0.9 - k. Sort -2, n, d in ascending order.\nAnswer: -2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 - -26?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 3*l - 30 - 2*l + 3*l to the form v + c*l and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 615962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 57\/2 (b) -5 (c) -3\/2294\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 5, -5, -6, 27, 3 in descending order.\nAnswer: 27, 5, 3, -1, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.3, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -27 (b) -130 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159178?\nAnswer: 2, 79589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 8:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/208 and -51\/8.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((12 - 12 + 11 - 5*d)*(-2*d + 3*d - 2*d) + 0*d - d**2 + 0*d)*(-d + 6*d - 9*d)*(4 - 4 - 3) in the form o*d**3 + x*d**2 + y + m*d and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 5. Let n(o) = 440*o - 1. Is n(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Differentiate 0*n + 21 + 0*n - n**m - 14 wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 17. Let t(q) = -q - 7. Let z be t(s). List the prime factors of 52\/5 - z\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 18*g + 1. What is f(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 282*d + 539. Give z(-1).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 15*j + 30. Let m(i) = -i + 1. Let b(o) = k(o) + 2*m(o). Calculate the remainder when b(-14) is divided by (-1 - 3\/6)*-10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63\/8? (a) -4\/9 (b) -1\/89 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 69*m**2 - 33*m - 60. Determine c(22).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 59*z + 1597. Calculate the least common multiple of 5 and j(5).\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 260 + 7?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92291.\nAnswer: 41, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7))*6 - (-1 + sqrt(7))*5)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 106*v + 2 - 29*v**2 + 21*v**2 - 99*v. Calculate h(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 133339715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**5 + 144*b**4 + 328*b**3 + 320*b**2 + 132*b + 16.\nAnswer: 4*(b + 1)**3*(b + 4)*(5*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - (-19698)\/2345. What is the greatest common divisor of 152 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 25. Suppose a*m - m = 2*m. Suppose v + 4*c - 63 = m, -4*c - 253 = -3*v - 0*c. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 5*g = -43, -5*c - 4*g = 64. Let l = c - -17. Suppose 0 = l*j - 28 + 8. Let s(h) = h**2 - 4*h - 5. What is s(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 0*m**3 + 12*m - m**3 + 3 + 76 + 109.\nAnswer: -m**3 + 12*m + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 18*m**2 - 35*m - 87. Let i be p(20). What is the highest common divisor of i and 4667?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 44. Which is the nearest to 1? (a) 10\/11 (b) -4 (c) m (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 - 58*y + 91. What is q(19)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/34*4*(77\/11)\/70?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614394.\nAnswer: 2, 807197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v + 0*v**2 + 1\/2*v**4 + 0 + 9\/2*v**3 = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 542188548.8400115 - 542154983.05. Let f = b + -33566.57. Let q = f + 0.78. What is q rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**4\/6 - u**3\/3 + u**2\/2 - u. Let q be ((-6)\/(-10))\/((-4)\/(-20)). Does 6 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*k - 367 = 0, 0*k = -5*k + 5. What is the remainder when l is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 + 1565*v + 3012. Determine x(-193).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-3))\/(((-3)\/(-2))\/((-18)\/(-8))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 5601960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 11790\/420)*-2 + (-16)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3164 and -107\/84.\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -270, -1719, -5668, -13371, -26082, -45055, -71544?\n\"Answer: -209*w**3 + 4*w**2 + 2*w - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:03 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -845, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 66 + 630. Suppose -8*w = -6*w - y. What are the prime factors of w?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(0 - (-1 - 0)). Suppose 3*s + 5*y - 4*y = 8, -3*s + 4*y = 17. Let g = 3 + s. Solve -g*t - 18 = -u, -t - d = -0*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**22\/(c**3)**(4\/3) assuming c is positive.\nAnswer: c**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -358 (base 12) to base 7\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 180 = 2*d - 23*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.66221 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-10) - 5)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k = 33*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 - 6*h**5 - 2*h**5 + (h**3 + h**3 + 0*h**3)*(-2*h**2 + 5*h**2 + 5*h**2 + (1 + 0 + 1)*(2*h**2 + h**2 - 4*h**2)).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 - -98.1. Suppose 6*m - 2 = 2*i + 4*m, 5*i + 15 = -5*m. What is the biggest value in s, -4, 1\/8, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0734596 to 3 decimal places.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.4, 2\/7, 3\/4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2\/11 + 922*k\/11 + 7248\/11 = 0?\nAnswer: -453, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -306*m - 186*m + 124*m + (-18*m - m - 2*m)*(2 - 1 + 1) + (-1 + 4 - 4)*(-2*m + 0*m + 4*m).\nAnswer: -412*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -52488600 rounded to the nearest one hundred thousand?\nAnswer: -52500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 34*l + 70. Let m be (-1 - -1)\/(28\/l). Let q be (296\/(-76))\/1 - -4. Which is the nearest to 0? (a) m (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 128, 0, 4 in increasing order.\nAnswer: -2, 0, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 18*h**2 - 63*h - 12. Calculate k(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*l + 6. Let b(i) = i**3 + 3*i**2 + 3*i + 4. Let m be b(-3). Let d = 7 + -11. Sort m, l, d in descending order.\nAnswer: l, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3710, 3719, 3728, 3737, 3746, 3755?\n\"Answer: 9*h + 3701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 6. Suppose 2*u - 20 = -4. Suppose -2*p + 4*b - 2 = 0, 2*b = 3*p - 0*p - 17. Calculate the remainder when g(u) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c + 1. Calculate y(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 1. Let f = 0.6 - 0. Let j = 0.1 - f. Which is the second smallest value? (a) j (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -2, -298, -6.\nAnswer: -298, -10, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1401094202 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5473 = 4*o - 1453. Let q = -684 - o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + u = 71, -4*u - 79 = -f - 3*u. Suppose -r = 4*z - 7*z + 59, -4*z = -5*r - f. Is z equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*y - 52*y - 1001 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10287924 divided by 139026\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*o - 2 = -a, -3*o + 16 = 5*a. Solve -w + 2*n + 4 = -0*w, -a*n = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:40 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -136, 0.1, 8, -34?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158.949 - -0.151. Let g = w - 159. Which is the third biggest value? (a) g (b) -1 (c) -3\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {w: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(630\/(-670)) + (-1)\/(-3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -167679*k**4 + 318*k**3 + 5*k**2 - 19932949?\nAnswer: -4024296*k + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382 divided by 2.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 12*h - 2. Let n be m(7). Let r = -32 + n. Let t be (-4 - -4)*r\/2. Which is bigger: -9\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 16) + -437 + 467 - 19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) + sqrt(2695)*-2)\/(sqrt(500)*-1 - sqrt(5) - sqrt(5)).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:16 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6722*f**2 + 8326*f**2 - 15129*f**2.\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 4) + 2 + (6 - 19)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.934 - 0.066. Let u = -7486 + 82400\/11. Let f = u + -724\/143. Which is the second smallest value? (a) f (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.4 - -0.4. Let h = -34.000084 - l. Round h to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*o + 2*o**2 - 37*o + 0*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*a + 2352 = 147*a. What is the remainder when a is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 44. Suppose w*y - y = 10. Suppose -3*q + n + 41 = 0, y*q - 2*n + 48 = 6*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 12*z + 8*z + 3*z)*(2 - 2 + 4) to the form u + r*z and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/7 + 74894*p**3\/7 - 599056*p**2\/7 + 1198048*p\/7 = 0.\nAnswer: 0, 4, 37439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -7. Suppose w = 2*k - 5*k - 6, 2*w = -2*k - 4. Suppose -5*m + 3*i = -2*i - 225, m + 5*i - 45 = w. What is the greatest common divisor of f and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2351 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -161463.4\nAnswer: 14531.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1264320, -2528328, -3792336, -5056344, -6320352, -7584360?\nAnswer: -8848368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9696*d**3 + 5*d**2 + 23*d + 10 wrt d?\nAnswer: 58176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288 - p**3 - 8*p**5 - 246*p - 12*p**5 + 8*p**5 + 252*p wrt p.\nAnswer: -240*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29*l**3 + 4*l**2 + 103*l + 306. List the prime factors of o(-3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/84)\/(-1)*9\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1166 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 738500 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, 0.11, -8, 0.0091 in decreasing order.\nAnswer: 2, 0.11, 0.0091, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2768.5mg to grams.\nAnswer: 2.7685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 101 + (-9)\/((-27)\/(-12)). Let u = m + -58. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:34 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7556, 15144, 22776, 30452, 38172, 45936?\n\"Answer: 22*y**2 + 7522*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*14\/35.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13137 and 13.2.\nAnswer: -173408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 239*z + 4786. What is u(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 1)*(-1 - 2 + 5) - 4 + 1 + 2)*(9*o**2 + 13*o**2 - 1 - 2*o**2)*(-202*o + 24*o + 19*o) as c*o**2 + u + a*o**3 + w*o and give w.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from yfuyyuufufauu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t - 4 - 125*t - 64*t + 2.\nAnswer: -253*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 779. Let a(u) = 2*u - 3. What is 4*a(z) + g(z)?\nAnswer: 3*z + 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*k + 6 - 333*k - 3 - 324*k + 953*k.\nAnswer: -17*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x + 6902 = 2*q, -27602 = -4*q + x. What is q rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 560\/2899?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2. Let q(p) be the second derivative of -1\/3*p**4 + 0*p**2 + 7*p + 0 + 0*p**3. What is q(j(h))?\nAnswer: -400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 732?\nAnswer: 732.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -318 - -316. List the prime factors of 1 + 705\/25 + r\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(6\/16). Suppose -2*s + 3*q - 5 = 0, 3*q - 1 = 3*s + 2. Let n = s - l. Sort 0, n, 2.\nAnswer: n, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-1\/17)\/(q**(1\/6)\/(q\/q**(-9))) assuming q is positive.\nAnswer: q**(7033\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633 = -19*z - 526. Is z less than or equal to -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 64, 113, 172, 235, 296?\n\"Answer: -j**3 + 14*j**2 - 2*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11963?\nAnswer: 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + a**3 - 2*a**3 + (-a - 1 + 1)*(17*a - 17*a + 12*a**2) + (a**3 - a**3 - 3*a**3)*(1 - 3 - 3).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -25*b + 11. Let k be q(3). Let c be (-2 - k\/28) + 183\/21. Solve s - 5*s + n + c = 0, 5*n = -25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 + 25 = 0. Let r = 20 + y. Calculate the greatest common factor of r and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 100, 156, 214, 274, 336?\n\"Answer: t**2 + 51*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 407*g + 12228. Determine r(-28).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16291551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*-4)\/(3\/((-3)\/2)). Suppose -9*n + 625 = -x*n. What is the highest common divisor of n and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*l - 44 = 0, 14*q + 14 = 9*q + 4*l for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/5772 and 7\/3848.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6985*l**6 - 24*l**3 - 281*l**2 + 630*l?\nAnswer: 838200*l**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*3*3 + sqrt(136))\/(sqrt(640)\/sqrt(5)))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 4. Let k(t) = -t**2 + t + 6. Let m be (-6)\/(-3 + 0 - (-9)\/6). Let g be k(m). Determine j(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1944*j**2 - 2944*j**2 + 8970*j**2 - 2562*j**2.\nAnswer: 1520*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:02 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/4 - z**2\/2 + 115*z - 10. Let y be j(0). Factor -55*t - 50*t + y*t + 5*t**2.\nAnswer: 5*t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2969150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -65*c**8\/336 + c**5\/12 - 4*c**3\/3 + 55*c**2. Find the third derivative of q(i) wrt i.\nAnswer: -3900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -4, 0.3, -0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.8556 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(425) + -1)*2 - (sqrt(425) + -1 + (1 + sqrt(425))**2)) - (sqrt(425)*1 + 4 - (sqrt(425) - (4 + 3 + sqrt(425)) - sqrt(425))**2).\nAnswer: -811 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1) + (-2 - -2) + -7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000677 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-363)\/897 - 4\/(-23).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 635180, 635191, 635202?\n\"Answer: 11*i + 635169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 69*p - 297. What is i(73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)\/(70\/(-65) + 1). Let t be 14\/2 - (-23 - n). Does 5 divide (-20)\/t + 1 - -54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 7*t - 3. Let k(b) = -7*b**2 - 23*b + 476. Calculate -k(l) - 3*n(l).\nAnswer: 4*l**2 + 2*l - 467","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 1101001002112?\nAnswer: -1101001002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1525291.1 to the nearest ten thousand.\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Solve -g*a = -2 - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18806960093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835855492.\nAnswer: 2, 257, 813089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a century in decades?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 248 = 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272 is divided by 1073.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**5 - 744*v**4 - 1142*v wrt v.\nAnswer: -40*v**3 - 8928*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 32844987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:16 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 5*m**2 + m**2)*(-20*m + 19*m + 14*m) + 3*m**2 - 2*m**3 - 3*m**2 + 3*m + 2*m**3 - 3*m + (-m - m + 0*m)*(2*m**2 - m**2 - 3*m**2).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1879*w + 11782 + 63378 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 161802 divided by 8989?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27561.\nAnswer: 3, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, s: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39091 - -27?\nAnswer: 39118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 442977.3 years?\nAnswer: 5315727.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/75))**(-1\/64)\/((r*r**(-31))\/(r**(1\/5)*r)) assuming r is positive.\nAnswer: r**(149683\/4800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.4, -2.1, 4, -11, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1238 by 2.\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94 - -15) + -2 + 11 + -11 + -5 + 1.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 1. Let m = -21 - -15. Let c be 2\/18 + ((-140)\/180 - 21\/63). Let h(d) = -d**2 + d - 6. What is c*h(p) + m*t(p)?\nAnswer: 7*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1402296*s**2 + 2775315*s wrt s.\nAnswer: -2804592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14124 = -3*f - 1770. Suppose 7*x - f = 3*x + 2*u, -4*u - 2074 = -2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - u**2 - 1 - u - 2*u**2 + 6*u**2. Suppose -o + 5 = -a, -4*a - 3*o + 10 = -o. Determine j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 + 3 - 3*l**2 - 5*l + 4*l**2 + 3*l**3 + l. Let f be 5\/10 + 10\/4. Let j(r) = -r**3 + r**2 - r + 1. What is f*j(u) - a(u)?\nAnswer: -2*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*v - 2*j, -5*v = -3*v - 4*j + 6. Find the common denominator of 2 - -2*(-59)\/(-36) and ((-212)\/(-16))\/(v\/((-28)\/8)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-3)*((j**(-3\/7)*j)\/j)\/(((j\/(j*j**8))\/j*j*j)\/j) assuming j is positive.\nAnswer: j**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -922 - -931. Solve d = 2*m - 5*y - 2, -4*y - 16 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13236225 (base 7) to base 9\nAnswer: 2257730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {u: 1, k: 5, q: 1, v: 2, e: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**5 + 16*g**4 + 161758*g**2 - 33388656*g wrt g?\nAnswer: 20*g**3 + 192*g**2 + 323516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/842 > 8390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 28*g - 97 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359499 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1858 - -1850. What is the nearest to -1 in -4, 1\/21, q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -811, -1623, -2425, -3211, -3975, -4711, -5413?\n\"Answer: n**3 - n**2 - 816*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -44 (c) 4 (d) 6\/6047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 340765 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6673075 months to centuries.\nAnswer: 0.00222275625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7840802 times 0.2\nAnswer: 1568160.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 3354, 8672, 16418, 26592?\nAnswer: 39194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = 30. Suppose -s + 3*i - y = -i, 0 = s - 2*i + 4. Let v be 195\/(-26)*((-56)\/12)\/(-7). Sort s, v, 0 in descending order.\nAnswer: s, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 28 + 5*n)*(-n - 4 + 4)*(19*n - 19*n + 9*n**2) to a*n**3 + h + k*n**4 + f*n + v*n**2 and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/3 - 16*v**4 - 254*v**3\/3 - 80*v**2 + 544*v\/3 = 0.\nAnswer: -17, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 4*n + 639. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - 20780\/12. Let p = -13763\/8 - o. Let d = 18\/577 + -22863\/11540. What is the common denominator of d and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -0.5 (c) 4\/317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 33066\/3065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + -0.1. Let k = -14.7 - -93.7. Let z = -78.6 + k. Put z, t, 2 in decreasing order.\nAnswer: 2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835909 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3*z**2 + 456*m**3 - 8*m**2*z**2 - 64*m + 181*z**2 - 12 wrt z.\nAnswer: -6*m**3*z - 16*m**2*z + 362*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204854?\nAnswer: 2, 1102427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**7\/840 + f**6\/45 - 3*f**5\/40 + 3*f**4\/8 + 8*f**3\/3 + 3*f - 23. Let c(h) be the second derivative of l(h). Give c(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -15. Suppose -o + 0*o = 4*h + 35, g*h = 5*o - 75. Let v = h + 11. Sort -1, 3, v in descending order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-8)\/(-2) - 9. What is the fourth biggest value in -17, 0.5, j, 2\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904092585.\nAnswer: 3, 5, 11, 271, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -3*k**6\/40 - k**5\/20 + k**4\/3 - k**3\/3 + 1016*k**2. What is b(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, -11, 1\/3, -5, -3 in descending order.\nAnswer: 1\/3, -3, -4.2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.17 + 0.67. Let f = 0 + 0.3. What is the closest to 0 in y, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((4 - 7) + 2 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 + (4 + (-4 - (-32 + 1)) - -8)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3946*p**2 + 2*p - 41677 wrt p.\nAnswer: 7892*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1091? (a) -4 (b) 1\/3 (c) 4 (d) 10 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20 - 6*c + 72*c**2 + 9 - 73*c**2 - 85 - 44*c.\nAnswer: -(c + 2)*(c + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(1*(0 + sqrt(475)) + -2) - ((sqrt(475)*4 - sqrt(475))*-6 + sqrt(475) - (sqrt(475) - (-4 + -4*sqrt(475))))))**2.\nAnswer: 19440*sqrt(19) + 1386396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2474*g + 2873*g - 798 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 - 5*z**2 + 4*z**2)*(-z**2 - 2*z**2 + 4*z**2) + 14*z - 8751*z**4 - 39*z + 8702*z**4 in the form x*z**3 + w + l*z + d*z**4 + o*z**2 and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -12 + 5*o + 10 - 2*o**2 - o**2. Let h(f) = 4*f**2 - 6*f + 1. Calculate -5*h(g) - 6*y(g).\nAnswer: -2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353585, 353630, 353675, 353720, 353765, 353810?\nAnswer: 353855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.75 + 17.25. Round l to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 - (1 + sqrt(637))**2) + -4.\nAnswer: -641 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, -3, 3 in descending order.\nAnswer: 3, -3, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*q - 212*q - 6715 = 0. Let h = 15 + -10. Suppose -h*j + 87 = -48. Calculate the remainder when q is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-8 + 20) - (-5 + 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*p = 4*k + 7, 3*k + 31 = -p. Let n be k\/(-15) - 21\/(-15). Find the third derivative of -3*v**3 + 3*v**2 - n*v**2 - 5*v**2 + v**3 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + z**2 + z - 2. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-15)\/(-9))\/((-185)\/(-222)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 65, 108, 157, 212, 273, 340?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*t - 9 = 127*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970189806 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 6*p**5\/5 + p**4\/6 - p**3\/6 - 13*p**2 + 4*p - 20. Find the second derivative of w(l) wrt l.\nAnswer: 144*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, 1 u, and 1 k when four letters picked without replacement from myrrkkprmukuu.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j*j)\/(j*j**(-27))*(j*j**(2\/45)\/j)\/(j\/j**(-17\/5)*j) assuming j is positive.\nAnswer: j**(569\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100010100100100111101?\nAnswer: 100010100100101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 26. Suppose 5*k + 0*k - u = 0. Solve 0 = -7*f + k*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 3*i - 3. Let m be b(4). Suppose 16 = -5*o + m. What is the smallest value in o, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (742\/(-4))\/(33\/48). Let i = 270 + g. Factor i*s**2 - 2\/11 + 0*s.\nAnswer: 2*(s - 1)*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106\/(-210) - ((-11)\/(-33))\/(-1). Let o = v - -83\/280. Factor -1 + 1\/4*a**2 + 1\/2*a - o*a**3.\nAnswer: -(a - 2)**2*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 56.9. Which is the closest to v? (a) 1 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61073221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a. Suppose a = -2*z + 26 + 4. Let j = z + -5. What is the least common multiple of 16 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -23*a**3 + 4*a**2 + 3*a - 8. Let s be n(2). Let z = s - -431. What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o**(2\/15)\/o)*o)\/o*o)\/o*o)\/o**(-3)*o**(-14)*o\/o**17 assuming o is positive.\nAnswer: o**(-347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 + 3*y - y + 0. Let s be n(-1). Suppose s = v + 3*f + 6, 0*f - f = v. Solve -2 + 5 = v*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:13 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 18*d - 29. Let q be k(-16). Let r(n) be the second derivative of 0 + 1\/3*n**3 + 1\/2*n**2 + 1\/12*n**4 + q*n. Factor r(p).\nAnswer: (p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4116 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396461?\nAnswer: 13, 30497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503 (base 15) to base 7.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -27*a**2 - 4*a + 2. Let q(y) = -42*y**2 - 6*y + 3. Let m(l) = 8*b(l) - 5*q(l). Determine m(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -94. Suppose -6*y = a*y - 2527. Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*u = -3. Let a(p) = -u - 3*p**3 + 4*p - 3*p**2 + 2*p**3 + 4. Let x be a(-4). What is the greatest common factor of 11 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3929 (base 13) to base 6.\nAnswer: 101415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 8*c**3\/3 - 11*c**2\/2 - 9*c. What is the derivative of v(m) wrt m?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2401 (base 6) to base 15.\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - g = -1534503, -5*i + 2*i - 2*g + 920699 = 0. Let x = 606901 - i. Round x to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21107 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2182208, 2182195, 2182156, 2182079, 2181952, 2181763, 2181500, 2181151?\nAnswer: 2180704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*z**4 + 16*z - 121 wrt z?\nAnswer: 28*z**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.2, 0.3, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*s + y, 190*s - 193*s = -4*y + 3 - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*l + 5024 = 7257 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = 13. Suppose -3*u + o*u = 64. What is the third derivative of 7*s**2 + u*s**2 - 8*s**6 - 18*s**2 wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 733*a + 124*a + 3*a**2 + 9*a to s*a + u + b*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(99) - (sqrt(396) - (sqrt(396) + 6*(2*sqrt(396) - sqrt(396))**2) - sqrt(396)))*-1.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4))**(9\/11) assuming z is positive.\nAnswer: z**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1000) + sqrt(40))\/(sqrt(8) - -1*sqrt(24)\/sqrt(3)) - (sqrt(320)*-1 - 2*sqrt(20)*5).\nAnswer: 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30330202130 (base 4) to base 2.\nAnswer: 1100111100100010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 e, and 1 h when four letters picked without replacement from hffstfhehffhsefpes.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(112)*-3 + (4 + sqrt(112) + sqrt(112))*3))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1880\/(-188)*(-42)\/(-60).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 4*k**3 + k**2 - k + 4*k to the form z*k + j*k**3 + s + o*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*h + 35565 - 35315 + 53*h)*(-2 - 3 + 4) to the form d + l*h and give d.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32701259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-1))\/((-72)\/24588)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072239454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0)*1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 602.6*14484\nAnswer: 8728058.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/9)*y\/(y*y**(-1\/8)\/y))\/(y**(-13)*y*y**18) assuming y is positive.\nAnswer: y**(-407\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. What is the remainder when 32 is divided by (-34)\/m*(-1 - -3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10068*f + 10226*f - 20298*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f**2 - 91*f - 454. Determine g(-3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651135077?\nAnswer: 3, 61153151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15217 and 91302.\nAnswer: 91302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 161 = 3*f, 3*m - f - 60 = 39. What is the remainder when 679 is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13090 - -13084. Let u(x) = -4*x**3 + 3*x**2 - 6*x. Let b(i) = -3*i**3 + 3*i**2 - 5*i. Determine s*b(d) + 5*u(d).\nAnswer: -2*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 16. Let v be 4 - 2\/((-15)\/10 + 2). What is the remainder when n(v) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*c - 23 = 0, 2*x + x - 2*c = 13. Let s be (x - -4)\/(-1 - -2). Suppose v + 2*v = s. Solve -12 = -2*o + w, 2*o - 5 + 1 = -v*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 26 = -122. Let g be (6 - 7)\/((-1)\/(-15)). Let n = g - -18. Solve 3*f + f + w = n*b, 0 = -5*b - f + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k - 1. Let w(a) = -a**3 + 11*a**2 - 7*a - 29. Suppose -9 = 6*j - 69. Let d be w(j). What is i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459363 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, 8\/11, -5?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60121 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-105)*-5)\/((-52)\/(-24) + -2). Let y(f) be the third derivative of 0*f - 11\/8*f**4 + 0 + 10*f**q + 7\/20*f**5 + 2*f**3. Factor y(l).\nAnswer: 3*(l - 1)*(7*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p + 4. Suppose 0*k + 4 = -k, 3*k = -u - 14. Let s(y) be the third derivative of y**3\/2 - y**2. Let i be 4 + -1*6\/6. Give i*s(m) + u*w(m).\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 512346*z**2 - 7*z + 38. Let n be w(9). Suppose 0 = 4*i - 5*i - 1, 5*h + n = -i. What is h rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 779 = -3*r, 6*r = -5*p + r + 785. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28480 and 82028096.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -50*g**4 - 340*g**3 - 248*g**2 - 48*g = 0.\nAnswer: -6, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -335 (b) -2\/41 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511 + 516. Solve -4*o + 4*a = o - 2, v*a = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -42. Let y(k) = 6*k**3 + 7*k**2 - 9*k + 9. Let h(v) = -3*v**3 - 3*v**2 + 4*v - 4. Calculate w*h(z) + 4*y(z).\nAnswer: -3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 32 = m. Let z = m + 19. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (17 - 26 - (-4 + -2))) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 81, 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - z**2 + 2*z**2 - 5*z)*(-1 - 1 + 3)*(-2*z**3 + 0*z**3 + 4*z**3).\nAnswer: 2*z**5 - 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, 0.34, -5, 0.5, 5 in ascending order.\nAnswer: -5, 1\/21, 0.34, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.55 - 0.55. Let m = n - 41. Let k = -12.7 - m. Round k to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -51.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a**5\/6 - 761*a**4\/6 - 11848*a**3\/3 - 1828*a**2\/3 + 47336*a\/3 + 13400\/3 = 0. Calculate a.\nAnswer: -25, -2, -2\/7, 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + o + 64 = -4*w, w + 328449*o + 10 = 328454*o for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/6)\/(-5 - 13\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - -3. Let w = 1\/2 - 7\/6. Which is the second biggest value? (a) 0 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-16)*v*v)*v*v*v\/v**5*v)\/(((v\/(v*v\/(v**(-5)\/v)*v)*v)\/v)\/v)**(-1\/2))**(-27) assuming v is positive.\nAnswer: v**(-567\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65455 is divided by 980?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37486 <= 37477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/74828 and 62\/7195.\nAnswer: 374140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/((-9)\/10746). Let l = h + -396. What is the lowest common multiple of 58 and l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4\/25 (b) 0.05 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 813670 and 2845.\nAnswer: 813670","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/160369 and 97\/488?\nAnswer: 1282952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.567 + -4.567. Put 0, 3, u, -2 in descending order.\nAnswer: 3, 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4450577 and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 742137 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3\/2 (c) -230.448\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3)*u*u)**25 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.03 (b) -0.03 (c) -1\/5 (d) 4 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2326\/15, 0.12, -1, 0 in ascending order.\nAnswer: -2326\/15, -1, 0, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*u - 1 + 54*u - 2 + (-6 + 2 + 2)*(-1 + 1 - u) to the form s + c*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28852 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*6\/((-216)\/(-21))*(-851)\/5957.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.207753 rounded to 1 decimal place?\nAnswer: -62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*j = -61*j - 54*j. Solve j = q - 6 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = -2. Let q = -1.2442 + 1.1442. Let s = -0.43 + 0.03. Which is the closest to q? (a) -1 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3834109 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478458.\nAnswer: 2, 3, 19, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 669 + -662. Let h(w) = 2*w - 6. Determine h(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1181804171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 - -16)\/(2 + -1). Let c(n) = 5*n**2 + 1. Let u be c(d). Let s be (-55)\/20 + u\/8. Is s bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m**2 - 5*m + 21152. What are the prime factors of k(0)?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.4 + -9. Let d = u - 5. Let q = -5 - -4.5. Which is the third biggest value? (a) q (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282804 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3589 - -11141. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 4*(-3 - -2). Sort -1, z, -3 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2690, -3034, -3320, -3548, -3718?\nAnswer: -3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 28 + 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 3501764*l**4 + 4933*l**2 + 74*l + 7 wrt l?\nAnswer: -120*l**2 + 84042336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288\/5 - 57. Which is the smallest value? (a) 5 (b) 8 (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/171883668 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - x + 0*x - 6*x + 5*x - 32*x + 2*x - 3*x - 2*x + 2*x - 1 + 1 + (1 - 1 - 2)*(0 + 0 - x) in the form b*x + q and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28099969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -42464 - 26295. What are the prime factors of j?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 - ((1 - 4) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306 (base 7) to base 11.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**(-10\/11)*(u\/((u*u**(2\/5)*u*u)\/u*u))**(14\/11) assuming u is positive.\nAnswer: u**(-318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42790, -168227, -376314, -667051, -1040438, -1496475, -2035162?\n\"Answer: -41325*f**2 - 1462*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27218 bigger than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 8*v + 1. Let f(m) = -m**2 - m - 1. Let y(s) = -10*s**3 + 3*s**2 + 4*s + 4. Let b(c) = 3*f(c) + y(c). What is the units digit of b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*z = 1997 - 2127 - 3702 - 3672 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -19, -29, -39, -49, -59?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338598284 a multiple of 2799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11649766*b**3*g**2*p**3 - b**3*g**2*p + 2*b**3*g - 9633*b**2*p**3 - 467*g*p**3 wrt g.\nAnswer: -23299532*b**3*p**3 - 2*b**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38561*v**2 - 38561*v**2 - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 12?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 + 17 = 3*z - 5*v, -5*z + 2*v + 50 = -8*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 1 - 1 + 3. Let s be g(-1). What is the third derivative of 2*n**2 - 2*n**s + 4*n**4 + 0*n**2 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010001110010 - -110001101111?\nAnswer: -1111100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*i + 3*i. Let l(g) = -g + 7. Let z be l(9). Let x be (-10 + 7)\/(3\/z). Put x, 4, i in descending order.\nAnswer: 4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*c - 1 = -2*c, f - c = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217250359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -23*j**2 - 2*j + 2. Let l be q(1). Is -20 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/4 - 8*y**3\/3 - 4*y**2. Let i(v) = 104*v + 110*v + 102*v + 11 - 312*v. Calculate -5*c(h) - 7*i(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 6*x + 32 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c. Let t be i(-1). Suppose 3*o = -3*n, -t*n - o + 0 + 8 = 0. Differentiate 7*f**2 - 9*f**2 - 10*f**4 + n*f**2 + 6 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3 (c) 0.096 (d) 70 (e) -0.9 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*q + 3, -4*q + 1 = -3*q. Let o = 12 - l. Sort o, -1, -5.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -136 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*f - 18 = -j, 5*j - f - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 9*m + 7*m + 248 + 3*m.\nAnswer: m + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**0\/(p**(1\/4)\/p))\/(p\/p**(-1\/4))**(-5\/7))**26)**(-44) assuming p is positive.\nAnswer: p**(-13156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdppdddkpddppddddppy. Give prob of picking 2 k and 2 p.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012387 to 6 dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 44. Let j = -17.3 - q. Sort -1\/4, 4, j, 1\/5.\nAnswer: j, -1\/4, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1423 - 1413. Which is the nearest to 0.4? (a) x (b) -2\/7 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 84*n - 8. Let a(x) = 42*x - 3. Give 5*a(l) - 2*j(l).\nAnswer: 42*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 23 = n, -a = -3*n - 2*a + 119. Let g = n + -38. Suppose 2*o + 77 - 99 = g. Calculate the remainder when 40 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-45)\/(90\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2543646 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 5) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2\/191045 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55902 and 20601?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g - 186. Suppose -c + g = -24. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j + 96. Let i be ((-3)\/(-22))\/(72\/j). Sort -4\/9, 2\/9, i.\nAnswer: -4\/9, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 + 71 = -9*t. Let u be ((-266)\/t)\/(3\/(-9)). Solve 0 = 7*b + 7 + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265629992 divided by 4\nAnswer: 66407498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 2\/9, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544*((-49)\/14 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 5 + 4 + 2*r + 31*r**3 to i*r**2 + w*r + q + g*r**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z + 1. Suppose 2*m = -5*t + 12, 5*t - 2*t - 9 = -3*m. What is s(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1794, -7168, -16124, -28662, -44782, -64484, -87768?\nAnswer: -114634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 161, 90, -19, -172, -375?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*u + 1 = -7, 3*u + 6 = 0. Sort -1, 0, -3, i in descending order.\nAnswer: i, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 4*l**2 - 2*l**2)*(-2*l**3 + l**3 + 3*l**3) + 12283*l + 3 - 12283*l - 2*l**5.\nAnswer: -6*l**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 108119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204.68 - -205.18. Sort x, -0.22, -2\/9, -20, 1\/6 in increasing order.\nAnswer: -20, -2\/9, -0.22, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-12)\/(-6) - (-1758)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbbmbbbbmbz. What is prob of sequence zbb?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 8:39 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 57\/(-6) + 4)*-6. Let b(i) = -i**3 + 26*i**2 + 26*i + 42. Let y be b(s). Suppose 0 = -2*z + 35 + y. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -47 - 8. Calculate the greatest common factor of f and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21561 - -23530. List the prime factors of z.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5883351?\nAnswer: 3, 101, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -811681?\nAnswer: 8928491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 0.5, -0.7, 4\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + 0))*-4*2)**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 38. Let w(y) = 3*y - 38. Let p(h) = -5*r(h) - 6*w(h). Let i be p(-7). Suppose 5*k - 40 = -4*v, -2*v + i = 5*k - 6. Solve 10 = -k*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqqzijiswwjqqzqqz. Give prob of sequence isi.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 89 = -n, -5*i + 215 = -3*n + 8*n. Let z = -8 + i. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (252\/45)\/((-2)\/(-10)). Let w be (-3)\/4 - (-105)\/m. Suppose -w*n + 3 = o, -o + 1 = 5*n + 2. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 366*v**2 + 2*v**3 - 5*v - 14 - 366*v**2 to the form n + i*v**3 + z*v + x*v**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose -w - 2*s = 4*w - 21, -s - a = 0. Suppose w*u = -4*l + 10, -3*l - 2 = -3*u + 4. Calculate the remainder when 4 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 11 (b) -0.0521 (c) 4 (d) 17 (e) 1\/5 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*f = 396*f + 16929. Suppose 16*c = -3*c + f. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-3776))\/(4\/(-150)). Let y = n + -2\/59. Let w = -33\/2 - -17. What is the nearest to -0.1 in y, w, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 756 and 45.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*g)*(-14 - 5 + 16).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4546 - -6204. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-8)\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 191*q - 95*q - 96*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-3 - (-2 + 252\/2)). Let x = -72 - s. Suppose 5*o + 3*l - 2487 = x, 0 = 2*l. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59782888 to the power of 1\/2, to the nearest integer?\nAnswer: 7732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -144. Let o = k + 85. Is o at most as big as -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 24 = x, 0 = -3*x + 6*x + 5*u - 74. What is the remainder when 45 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -17 - (-1 + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49820 divided by -20\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 146 = 3*j, 20464*o - 20465*o + 19 = -6*j. Let c be (0 - -1)*(-182)\/(-2). Is c bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60747751361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000363516 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eneeeneeeeeeeeceeqq. What is prob of picking 1 e, 1 c, and 2 n?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x - 171 = 1660 - 471 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -288.78118 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 3)*(-5)\/(-2). Solve -28 = r*w - y, -14 = w + 3*w + 2*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 45*i = 16. Suppose 3*g + 2*k - 20 = 0, 2*g - 32 = -g - 5*k. Solve 2*s = i*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - 9*m + 7. Let h be p(4). Solve 0 = -5*q - 2*z - 8, h*z = -q - 11 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 2 e when four letters picked without replacement from {e: 4, p: 3, g: 3, w: 4}.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*i**3 - 5*i**5 + 39*i**3 + (19*i**3 + 12*i**3 - 8*i**3)*(-i**2 + 1 - 1) + (i**2 + 1 - 1)*(-2*i**3 + 4*i**3 - i**3) + 3*i**5 - i**5 - i**5.\nAnswer: -26*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4 + 78*i**3 - 127*i**2 - 132*i + 68 = 0 for i.\nAnswer: -17, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 - 30*i**3 + 19*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3937262 and 20986.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -72*w + 14906. Calculate the remainder when w is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) 3\/5 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 684652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 3272*l - 185782.\nAnswer: -2*(l - 14667)*(l - 57)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, e: 16}. Give prob of picking 4 u.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*h - 7*h**3 - 15*h**3 - 75*h + (2 - 2 - 2*h**2)*(-1 + 1 + h) + h**3 + 3 - 3.\nAnswer: -23*h**3 - 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d, 4*d + 20 + 9 = 5*t. Suppose 0 = 4*p - o + 6*o + 1, 2*p - 37 = t*o. Solve 5*y - 4 = p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29929101.45 to the nearest ten thousand.\nAnswer: -29930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let l(v) = 115*v**4 + 2*v**2 + 247*v + 4. Let j = 283 + -282. Let q(k) = j*l(k) + 4*t(k). Find the second derivative of q(s) wrt s.\nAnswer: 1380*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903439012 - 365.3?\nAnswer: 903438646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*w - 10*w**2 - w**3 - 96*w + 2 - 103*w to g*w**3 + p*w + j*w**2 + r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(2) + sqrt(2) + sqrt(2))*-5 + -5 + 5 + -1)*4)**2.\nAnswer: 960*sqrt(2) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lzvlvtzslv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70081, -69724, -69365, -69004, -68641, -68276?\nAnswer: -67909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 309, 501, 713, 951, 1221, 1529, 1881?\n\"Answer: v**3 + v**2 + 168*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**3 - 39625*w + 19808*w + 19817*w - 55*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 930718699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3 + 1 + 2 + 2*f**2 + 5*f**3 + f - 4*f**3. Let k(u) = -7*u**2 - 5*u - 1. Give -5*b(i) - 4*k(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z = 6, -10*o + 21 = -8*o + 3*z. Suppose -2*k - 2 = o*c, 2 = -3*k + k - 4*c. What is the closest to k in 0.7, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 16893431715494\nAnswer: -16893431715490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9315399nm in micrometers?\nAnswer: 0.0009315399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 + -1)*(2322\/(-903) - (-2612)\/112)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3790, 1794, -3622, -14168, -31554, -57490, -93686?\nAnswer: -141852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132724005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0217305 to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i - 23. Let h be u(-7). Let c = h + -25. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j*k*r**2*v - 9199*j*k*v - 5*j*v - 2*k*v + 4*k - 2*r**2 - 128*r*v - 117*r + 3*v with respect to j.\nAnswer: -15*k*r**2*v - 9199*k*v - 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 - 2*p + 8. Let l be n(6). Let j = 3291\/2 - 4843\/3. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562 + 2562 - 14*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3534121, 3534116, 3534109, 3534100, 3534089, 3534076?\n\"Answer: -j**2 - 2*j + 3534124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - s + 1. Let j(m) = 3*m**2 + 4*m - 3. Let o(r) = 3*r + 47. Let t be o(-15). Give t*n(h) + j(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12110 = -r. Let w = r - 8010. Round w to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.036 + -0.436. Let h = 0.4 - 0.3. Which is the closest to 1? (a) -4 (b) r (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 17*j = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let m be (4\/15)\/((-154)\/(-35) + -4). Put w, 3\/5, m in ascending order.\nAnswer: 3\/5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 1016, 1768, 2682, 3758, 4996, 6396?\nAnswer: 7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 40. Solve 5*n = 0, -7*l - t = -2*l - 2*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r + 48. Let o be t(-3). Suppose o*s + 3*s = -108. What is the third smallest value in -5, -4, s, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 188598?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:25 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2747 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 49\/98 - (-5)\/2 - -2615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 209 = 5*g, 4*g - 276 = -4*u - 0*u. Suppose w + w - 32 = -2*f, 5*w + f - u = 0. Are 68\/5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 20. Let h = 1 + -1. Suppose h = -0*l - 2*l - 2*d + 178, -3*l + 247 = -m*d. Calculate the remainder when l is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**3 + 7*j**2 + 506*j + 112.\nAnswer: -(j - 8)*(j + 7)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 9. What is t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 4800\/(-500))\/(4\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 16. Suppose -2*r = -5*r + u. Find w, given that 1\/3*w**2 - 2\/3 + w - w**3 + 1\/3*w**r = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.74*-1343.27\nAnswer: 2337.2898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*g + 5*g**2 - 50*g to q + z*g**2 + i*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - -4 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150108?\nAnswer: 2, 3, 7, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 6*a = a, -b - 5*a = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5*m + 137, -116 = -4*f + 8664*m - 8668*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (7 - (0 + -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, r: 2, f: 1, k: 1, v: 2, m: 2}. What is prob of sequence ww?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119098479*r - 238848301 with respect to r.\nAnswer: 119098479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 21*w - 62. Calculate r(-25).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.0399637953 - -188\nAnswer: 189.0399637953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -419. Suppose -8*s = 3*l - 10*s + 8, -b*s + 20 = 0. Factor -1\/5*h**4 + 8\/5*h**2 - 16\/5 + 0*h + l*h**3.\nAnswer: -(h - 2)**2*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 - 176*b**3 + 568*b**2 + 176*b - 564 = 0.\nAnswer: -47, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3552 and 151\/174048?\nAnswer: 174048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6310, 6427, 6622, 6895, 7246, 7675, 8182?\n\"Answer: 39*x**2 + 6271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**2 - b**3)*(-30 + 2*b**2 + 30) + (-2*b + b**4 + 2*b)*(0*b - 3*b + 2*b) + 2 - 2 - b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6235*h**2 - 35*h - 70. Let y(m) = -693*m**2 - 4*m - 8. What is -4*x(j) + 35*y(j)?\nAnswer: 685*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 281063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14\/292091 + -12058191\/1720415990. Find the common denominator of 63\/418 and v.\nAnswer: 64790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 + 4*r**4 - 5*r**2)*(r + 11*r - 2*r)*(-2 + 4 + 0).\nAnswer: 80*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 11171.\nAnswer: 6\/11171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 3542 - 3534 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 314*w**2 - 36. Let f be o(-6). Suppose 27*m = f + 29097. What are the prime factors of m?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*g + 269*g + 635*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -48. Let j = 67 + x. Let q be 3*(-1 + (-11)\/(-15)). What is the second smallest value in q, -1.2, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53755?\nAnswer: 5, 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-325)\/(-2) - ((-36)\/8 - -5). Calculate the greatest common factor of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**18*t**(-2\/35) assuming t is positive.\nAnswer: t**(628\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - m**2 - 24*m + 24*m + m**3 to h*m + q*m**2 + i + x*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 216\/10 - (-8)\/20. Let t = 5 + 0. Suppose t*r = 78 + w. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 646741*g**2 - g. Let l(q) = -45*q**2. What is u(l(z))?\nAnswer: 1309650525*z**4 + 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 223. Suppose 6*q - 261 = 3*z, 232*z - 235*z + 26 = q. Calculate j(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 0*i**3 + 11*i**2 - 2*i**2 - 6*i**3.\nAnswer: -6*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*z = 4*z, -3*y - 17 = 5*z. Let o = 8 - y. Suppose -o*g + 65 = -2*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0857 and -316983778572.\nAnswer: -316983778572.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 - 2*w - 1. Let r be y(-3). Suppose r*t + j = 190, -3*j + 102 = 4*t - t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-3) + 2\/6. Let p be 5\/25 - 2\/v. Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + 2 - 3\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -27*i**2 - i - 2. Suppose 30*k = 121*k - 121 - 243. Let b(p) = -109*p**2 - 4*p - 9. Calculate k*b(o) - 18*n(o).\nAnswer: 50*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 3 + sqrt(25)\/sqrt(80))**2.\nAnswer: -261\/4 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:39 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36957 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 9*m**2 - 17*m + 22. Let p be r(7). Let u be (2\/(-24))\/((-6)\/(-4)). Let f = -5\/18 + u. Is f at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 60 - 42. Let y = 531782\/15595 - -3\/6238. Let s = v - y. Put s, -2, -1\/4 in increasing order.\nAnswer: -2, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7106\/(-550) + 6\/(-75)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h = -11*h - 104. Suppose 3*a = -18*y + 14*y + 54010, h*y + 3*a = 27008. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.488586 to three decimal places.\nAnswer: -0.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14800 and 320?\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 24*o - 25. Give w(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1944\/96 + -2*2\/16. Solve 30*v = z*v + 60 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(2*o**2 + o**2 + 0*o**2)*(2 + 3 - 2).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-78)\/(-20) + ((-294)\/(-140))\/21. Let g(c) = -2*c**3 + 5*c + 20. Let r(p) = -p + 1. Give w*r(h) + g(h).\nAnswer: -2*h**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1 + 2*a + 0 - 1. Let z(v) = 18*v**2. Calculate s(z(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-3))\/((-4)\/30). Let h = 82 + k. Differentiate 22*w - 10*w - 8 - h*w + 17*w**3 wrt w.\nAnswer: 51*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 288 = 960. Calculate the smallest common multiple of 28 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 65. Let i(q) = q + 33. Let d(o) = -5*i(o) - 3*r(o). Let h be d(-25). Calculate the common denominator of 67\/6 and -186*6\/40 - (-2)\/h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/7 - 24*n**3\/7 + 108*n**2\/7 + 320*n\/7 = 0.\nAnswer: -2, 0, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 4*a**2 + 20*a**2 to j*a**2 + c*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151293 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/7 + 16239*p**3\/7 - 81169*p**2\/7 - 16239*p\/7 + 81170\/7 = 0.\nAnswer: -1, 1, 5, 16234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.18 + 19.9. Let a = h - -0.08. What is a rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123288 divided by 1868.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 13. Let g = n + -3. Suppose 4*o - g = 2*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/60 - 5*g**4\/8 - 133*g**3\/6 + 111*g**2. What is the units digit of r(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155\/2436 - 11\/348. Which is the nearest to -5\/7? (a) r (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 173*l**2 - 4854*l - 109979. Calculate m(-195).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 93. Calculate the greatest common factor of 29 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:44 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 520 + -501 - (13 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*6\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*d + 40*d = 75096. What is the remainder when d is divided by 93?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 1c969b8?\nAnswer: -1c969a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49569? (a) 1\/5 (b) -1\/7 (c) 71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:56 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**9\/126 - n**5\/12 + 6*n**2. Find the third derivative of u(b) wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + 3 + 3 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6370ba (base 14) in base 2?\nAnswer: -1100110100101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = 7. Suppose 0 = m*s - 5*b - 10, -2*b - 9 = -4*s + 5. Solve 0*c - 5*c + 5*v = -10, 0 = -s*c + 3*v + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 38*m**5\/11 + 42*m**4\/11 - 10484*m**3\/11 + 72616*m**2\/11 - 98640*m\/11 - 11200\/11 = 0.\nAnswer: -20, -2\/19, 2, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y - 1. Let t(m) = -11*m - 2. Let l(h) = 3*t(h) - 4*x(h). What are the prime factors of l(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -5, -0.04, 297\/562?\nAnswer: 297\/562","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 3*a**2\/2 - 977*a. Determine v(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 0*g**2 + 4 + 2*g**2 + 0.\nAnswer: 2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/2 - (-149865)\/(-21630)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**2 - 76*x + 3. Let s(v) = 4*v - 51. Let h(q) = 5*i(q) - 7*s(q). Is h(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, v: 16}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 2*i**3\/3 + 7*i**2\/2 + 4*i + 2. Let f be b(-4). Let m(g) = g**2 - 8*g + 3. List the prime factors of m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/2 + 116200075*d.\nAnswer: -5*d*(d - 46480030)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4\/4 + 255*p**3 - 18519*p**2\/4 + 35715*p\/2 - 13482 = 0.\nAnswer: 1, 4, 14, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 4?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 - 3*z + 4. Let c be b(3). What is the second derivative of -5*s + 3*s**2 + c*s + 2 - 2 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2439 = 5*k - 11086, 4*k + 4*t = 6924. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1.45409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let x = 20 + -26.6. Let i = x - -6.1. Which is the biggest value? (a) j (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 14*k + 13*k + 260 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, z: 13}. What is prob of sequence zzkk?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 - 104 = -104*z. Let g(q) = 2*q - 10. Give g(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let j(o) = o**2 + 3*o + 13. Let c(b) = j(b) + 4*s(b). Let a be c(-6). What is the units digit of a*2\/((-18)\/(-39))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmcm when four letters picked without replacement from cjjjcmcmjjc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -4 (c) -0.4 (d) -2 (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -2*p, 0*p + p + 3 = j. Let h(c) = 35*c - 21. Let l(d) = -104*d + 64. Let x(n) = j*l(n) + 11*h(n). Differentiate x(f) with respect to f.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 2029 - 193 = 0. Solve 2*k + r = n + 36, -2*k - 3*n + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572665 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*i + 1, 45*u + 3*i = 42*u - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402792?\nAnswer: 2, 175349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 83. Suppose y*b - 6*b - 7 = -3*q, 0 = b + 4*q - 22. Solve -3*j = -5*h + 2*h - 12, -b*h - 12 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w + 868 - 2812 = -109*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - 4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160911351 < 160911351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/60 + t**4\/12 - 4*t**2 - t. Factor x(c).\nAnswer: -2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 108 + 2 + 12*h - 21*h.\nAnswer: -9*h + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*d - 8*d. Suppose -d*t + 29 - 23 = 0. Sort t, -2, -3.\nAnswer: -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16638 and 10266.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-211 - (-115 - -29)) + 69\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220)*1)\/(sqrt(315)\/sqrt(7) - sqrt(405)*-2).\nAnswer: 4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91859858 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/40 - (-5 - -6 - 3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, 6, -4.\nAnswer: -4, -2\/35, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-133 + 122 + 39 + 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6559*f**3 + 3212*f**3 + 3318*f**3.\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 14 = -8*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131313810*u**5 - 210*u**2 - 9*u - 1270 wrt u?\nAnswer: 7878828600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, 4, -981, 5 in descending order.\nAnswer: 5, 4, -6\/13, -981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*p - 455*p = -225*p - 882266. List the prime factors of p.\nAnswer: 7, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = -20*b - 56*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - 2*sqrt(84)))\/sqrt(6))\/(sqrt(84)\/(sqrt(24)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 586*z**2 + 721*z**3 - 4 - 1 + 5 + 114*z**2 wrt z?\nAnswer: 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y + 99 = -41*y + 739 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 41864.\nAnswer: -7\/10466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 11*q + 17*q)*(5*q**4 + 0*q**4 - 2*q**3 - 3*q**4) - 2*q + 3*q - 2279 + 2280 + 9*q**5 - 6*q**4.\nAnswer: 31*q**5 - 28*q**4 + q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70848 and 12?\nAnswer: 70848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -8 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**3 + 190*n**2 - 784.\nAnswer: 6*n**2 + 380*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1468, 2559, 3482, 4153, 4488, 4403, 3814, 2637?\n\"Answer: -14*a**3 + 1189*a + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 28, -3.\nAnswer: -3, 28, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4279?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594899?\nAnswer: 3, 177211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 30788676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 - 37?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32326839\/81 - (-144)\/648 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*u + 668, -4*d + 97 = 5*u - 1236. Let k = d - 218. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.028466 and 0.04162.\nAnswer: 0.070086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 114258 (base 11) in base 6?\nAnswer: 3515241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:02 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 31, 13, 3, 0.1, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 41*g = 39*g + 41565, -4*l + 2*g = -55448. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 35*c**6\/6 - 5*c**3 + 24. Find the third derivative of i(s) wrt s.\nAnswer: 2100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.009 minus -85.93?\nAnswer: 86.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -21, 5 in decreasing order.\nAnswer: 5, 4, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6985, 28260, 63799, 113608, 177693, 256060?\nAnswer: 348715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 + 199. Let p = 85 + r. Suppose -y + p*y + 4 = 2*c, -3*y + 28 = 4*c. Solve -11 = -y*l - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b. Let q(z) = 47*z**2. What is p(q(w))?\nAnswer: 423*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {n: 1, j: 1, d: 4, i: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**(-2\/15))*u*u)\/u)\/u)\/((u**(-4\/5)*u)\/u) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = 7. What is the third derivative of 2 + 29*r**2 + 14*r**j + 10*r**4 + 28*r**2 - 55*r**2 wrt r?\nAnswer: 576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 6)*(-3*p + 2*p - 3*p)*(4*p + 6*p + 6*p).\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1440)\/(-132)*1056\/(-240).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 161 + 34. Let z = s + 43. Put z, 3, 2 in decreasing order.\nAnswer: z, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 192*x = -42108. Calculate the greatest common factor of 114 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = b - 46, -3*v - 2*v + 95 = 2*b. What is the remainder when b is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/29, 1\/8, -0.1, -1, -4\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19427?\nAnswer: 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 193544*j**4 - 967620*j**3.\nAnswer: -4*j**3*(j - 48381)*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 7*a + 5. Let h be y(-6). Let n be 0 - -1 - (1 + -33). Calculate the highest common divisor of n and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 29. Suppose -s*z = -9*z + 144. Let q be (-8)\/z + (-3)\/(-9). What is the third smallest value in -2\/5, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3111*q = 6442*q + 13075*q - 869518 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let m(l) = -18*l**3 + 14*l**2 + 14*l + 66. Let g(q) = 4*q**3 - 3*q**2 - 3*q - 13. What is 42*g(v) + 9*m(v)?\nAnswer: 6*v**3 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**2 + 2*w - 1. Let k be b(1). Solve 2*y - 2*r = 4*y - 10, -k = -4*y - 5*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43627.2496 rounded to the nearest 10?\nAnswer: -43630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, v: 3, j: 1, w: 1, d: 2, m: 1}. What is prob of sequence jdvn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 - 2*f - 2. Let o be g(-3). Let m(p) = o*p - 4*p + p**2. Let l(z) be the third derivative of 5*z**4\/24 - 116*z**2. Give m(l(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j**2 + 4*j + 3. Calculate v(-6).\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -30, -35, -40?\n\"Answer: -5*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16313447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p. Let b = 458 - 462. Calculate o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2264 + 2637 = 13*c - 1651. What is the lowest common multiple of c and 4?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197516*t - 197553*t + 395085*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2581 divided by 5\nAnswer: 2581\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = 5*h - 67*x - 25, -3*h - 5*x + 31 = 0. Let j(k) = 2*k**2 - 2*k - 4. Let w(r) = -r**2 + r + 2. Let a(t) = 3*j(t) + 5*w(t). Give a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035605 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*p - 47, -3*w - 5*p - 42 = -2*p. Let f(g) = -g**3 - 16*g**2 + 41*g - 1. What are the prime factors of f(w)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:57 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -5*k + 479, k + 121197 - 121108 = 2*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 31*j**2 - 34*j + 11. What is l(30)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*y - 21, -3*i - 4*y + 15 = -2*y. Let a be (-17017)\/102 - (-2)\/(-12). Let g = a + 681\/4. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z + 28. Let x(r) = 5*r + 13. Let p(k) = 6*g(k) - 13*x(k). Let c(d) = -d + 2. Suppose 6*q - 1 - 47 = 0. What is q*p(i) + 5*c(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-37*(-78)\/(-2886))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97330*b + 97237*b + 3*v + 1944, -54 = -3*b + 3*v for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 7*j**2 + j + 11. Suppose 2*t - 3*t - 7 = 0. Let c be d(t). Find the third derivative of h**2 + 10*h**4 + 3*h**c - 6*h**2 + 3*h**4 wrt h.\nAnswer: 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(3\/2))**(-7))**(-34))**(1\/16))**(8\/7) assuming c is positive.\nAnswer: c**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9916634 is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0243419 to four decimal places.\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(275) + sqrt(275) + sqrt(275) + 1) + -3 + (sqrt(275)*1)**2 + sqrt(275))*2.\nAnswer: -110*sqrt(11) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 987308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i + 23*i - 47*i)*(5*i**3 - i**3 - 2*i**3).\nAnswer: -50*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:27 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/5 + 146*r**3 - 3688*r**2\/5 - 9562*r\/5 - 1029 = 0 for r.\nAnswer: -735, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -8. Suppose 0 = 7*a - 4*a - 1479. Let f be (-10)\/(-75) + a\/15. Solve 2*h = c + 3 + 3, 0 = -2*c - m*h + f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/19? (a) -4 (b) 5 (c) 0.2 (d) -0.4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, -0.4, -0.2 in increasing order.\nAnswer: -0.4, -0.2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -46*f**5\/3 - 1476*f**4 - 111380*f**3\/3 - 849728*f**2\/3 - 44506*f + 609212\/3 = 0. Calculate f.\nAnswer: -62, -17, -1, 17\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 - -442. What is the derivative of z*o - 11*o + 1073 - 1225 wrt o?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*s - 16, 4*t - s + 1 - 13 = 0. Suppose h = -t*h - 9. What is the biggest value in h, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2210*u + 10874 - 1112 + 4480 = -4911*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.1, 9, 1\/6 in descending order.\nAnswer: 9, 1\/6, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*b, 3*u - 57*b + 56*b = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5284.5 years?\nAnswer: 52.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 116\/6)*-6. Suppose 93*u - k*u = 16. What is the hundreds digit of 10\/((-80)\/(-372))*u\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -582\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -64 + (66 - -76).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44426227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.065 (b) 29 (c) 2 (d) 0 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13013604 and 23\/360.\nAnswer: 130136040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 5*j**2 + 0*j**2)*(-3*j - j + 3*j)*(0 + 2 + 2) + (j**2 - 4*j**2 + j**2)*(5*j + j - 4*j) + 0*j**3 - j**3 + 2*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 + -77. Is 32 a factor of (1070\/20)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 66 + 43)*(-3 - 4 + 5)*(0*f - 4*f + 5*f) as c*f + m and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 183, 1222, 2959, 5388, 8503?\n\"Answer: -d**3 + 355*d**2 - 19*d - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/17)*a*a**(3\/5)*a*(a**(-2\/3))**(-2\/25))\/(a**(-2\/9)*a*a*a**(-6)*a)**(-25\/2) assuming a is positive.\nAnswer: a**(-281077\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 7 + -24 + 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/120 - x**5\/60 + 5*x**4\/24 - x**3\/2 + 4*x**2. Let c(y) = 0. What is y?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 39*c + 234. Let x be l(44). Suppose -4*k = -20, 0*z - 4*k + 16 = 2*z. Sort z, 0, x in increasing order.\nAnswer: z, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 115 + (-13 - 1 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(475) - (-5 + -2*sqrt(475) + sqrt(475))))**2.\nAnswer: 90000*sqrt(19) + 1732500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 - 6*k - 2. Let j(g) = -7*g**3 + g. Let t be j(1). Let q = 13 - -4. Let b(h) = -3*h - 17. Determine q*l(c) + t*b(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + (-1 - -6) - (2 + -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**5 - 1882*k**4 + 2*k - 166394 wrt k?\nAnswer: 800*k**3 - 22584*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/16 - (-4)\/4. Which is the nearest to 0.2? (a) g (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802969618.\nAnswer: 2, 11, 401, 91019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/9 and -35\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {n: 4, r: 5, j: 10, p: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 1. Let a be x(2). Suppose -5*j - a*f = -2*j - 3, -2*j = -2*f - 14. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*a**2 - 2737*a + 1368*a - 274*a**2 + 1369*a.\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2149, -1234, 5727, 21758, 49883, 93126, 154511?\nAnswer: 237062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/6 - 2*r**2 + r. Let d be m(7). Suppose j - 13 = -d. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334290?\nAnswer: 2, 3, 5, 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2389046329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*a - 626, 2*a - 3*x - 1056 = -3*a. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.94058 to 2 dps.\nAnswer: 20.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000939481 to six decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 465560914 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 514 and 527621?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 5. Let z = 13 - 22. Let l be o(z). Solve -6 = -2*m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 2\/1 - (10549 + -10552)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose 4*w + g + 7 = 18, 2*w + 3*g - 13 = 0. Let a(z) = -3*z + 4. Let x be a(3). Put p, w, x in ascending order.\nAnswer: x, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53593539 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -l - 1396, -3*g = -1 - 5. What is l rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*z = -44, -4*f - 7*z + 52 = -11*z. Let v(n) = -7*n + n - 3 - 6 + n**3 - 3*n**2 + 3. Determine v(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {s: 4, a: 1, j: 9}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16375502*-0.9\nAnswer: 14737951.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 2*b - 2. Let d be s(2). Suppose -5*v + 76 = -d*i - 31, v = 4*i + 7. Let n = 4 + 65. Calculate the highest common factor of v and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.6. Let q = -3.7 - -4. Let m = -0.2 - q. Sort 1\/4, m, a.\nAnswer: m, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10709 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.619191 days to weeks.\nAnswer: 9.231313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12373, -12360, -12347, -12334?\n\"Answer: 13*c - 12386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 + 3.7. Let v = -0.1 - -0.4. Which is the nearest to -0.2? (a) 0.2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1)*7\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 179488 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - -1.1. Let a = w - -0.6. Sort -1\/4, a, 3 in descending order.\nAnswer: 3, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114.9 - -11.1. Let b = c - 125.99999913. What is b rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3882\/5 + 784. Suppose 0 = 5*t, -3*n + 24 = -0*n + 3*t. Is n < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12332*s**3 + s**2 + 128*s**4 + 1 - s**2 + 2*s + 12330*s**3 to g*s + r*s**2 + y*s**3 + i + h*s**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 28. Give n(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 65. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 54*q**4 + 27372*q**3 + 10322834*q**2\/3 - 21223720*q\/3 - 10488200 = 0.\nAnswer: -2290\/9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 2561 = -728. What is the remainder when w is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x. Let g be r(-6). Let o be (g\/(-24))\/((-1)\/2). Let l(s) = 12*s**2 - 5. Is l(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -104591.41?\nAnswer: -73213.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3306*w**2 + w + 15. Suppose -d - 1 + 12 = 0. Let l be f(d). What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -5\/11, 5, 1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/7*(-15)\/2. Suppose 2*q - 34 = 2*w, w + 282 = 3*q + 235. Calculate the greatest common factor of q and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -31, -56, -103, -178, -287?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4108\/(-6))\/13)\/(-1*(-60)\/(-45))*2?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1093.1 - -0.059866\nAnswer: -1093.040134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + (-4)\/(-8)*140 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 + -1 - (9 + -18 + -33)) - 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8503 divided by 10.\nAnswer: 8503\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 3 - 1) - (-11 - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 111173904?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 376 = 87*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324*z**3 + 327*z**3 + 10*z - 12*z**2 + 15 - 982*z**3 + 333*z**3 + 9.\nAnswer: 2*(z - 4)*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 1, z: 2, e: 1}. Give prob of picking 1 z, 1 e, and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**3 - a**2 + 7*a. Let c(x) = 13*x**3 - 4*x**2 + 13*x + 1. Let b(i) = 2*c(i) - 5*h(i). What is the second derivative of b(n) wrt n?\nAnswer: -54*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/200)\/(60\/50)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 9*l**2 + 10*l + 9. Let q be (-3 - 28\/(-8))*16. What are the prime factors of w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 10978098?\nAnswer: 10978098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -0*c + 3*c. Suppose 3*r = 6*r - c. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265.05551 + 0.04551. Let b = n - -267. What is b rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 69834*u - 3066888 = 0.\nAnswer: -23234, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31451 is divided by 64?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 8*s = 15. Let c = s + 1. Let l(a) = -3*a**3 - 6 - 5*a - 3*a**2 - 2*a**2 + 4*a**3. What is l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16959 + 9?\nAnswer: -16950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3710 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 1315342648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.72 - 0.28. Let k = b + 4. Let q = -0.21 + -0.29. What is the closest to 0.2 in q, k, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:42 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37539 and 139680?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3474527567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -928 and -2.072597275.\nAnswer: -930.072597275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*n + 4, -5*u + 2*n - 4 + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70288*m**2 - 70240*m**2 + 140541*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12770 (base 14) to base 9\nAnswer: 68215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -2 - (-2 + 1 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (8\/4 + -6). Suppose s + 25*v - 27*v + 6 = 0, -3*v + 24 = -3*s. Find the common denominator of s and j + 0 - (-448)\/(-264).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(5))**2 + 4.\nAnswer: 4*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11 - -12) + 13 - -23) + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19314426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -9, -4*w + 3*x = -x - 68. Let s = -10 + w. Find the second derivative of h**4 + h**s - h + 0*h**4 wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/2*(-25)\/(-90)*28\/35?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-2 - (-5 - (1 - 9))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d + 4*y - 823, 0 = 5*y - 10. Let i = -1571 + 15691\/10. Calculate the common denominator of d\/(-60) - (-10)\/(-50) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b = 34, i + 4*b + 84 = 112. Let j(r) = 71*r + 4. Let g(d) = -13065*d - 737. What is i*g(q) + 737*j(q)?\nAnswer: 67*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/15*(-159)\/(-106)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 116.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3926051.\nAnswer: 47, 103, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5127, 9, 11, -1, -2 in increasing order.\nAnswer: -2, -1, 9, 11, 5127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 7\/5 (c) 14 (d) 1\/4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245430082092 - 5.\nAnswer: -245430082097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(1 - (3 - 3)). Suppose 24 = 4*x - 4*k, -x - s*k - 7 = 3. Calculate the remainder when -1*x*69\/(-6) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2879 (base 13) to base 12.\nAnswer: -3472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 20*v + 3*v + 3*v. Let k(j) = -j. Give k(m(a)).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -22 + -2750 + 2712.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 - 1073*w**2 - 746*w - 16416. Give f(269).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6720 - 418.\nAnswer: 6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15915.\nAnswer: 3, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 <= -401\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -107583 divided by 6?\nAnswer: -35861\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 smaller than -0.04066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -107. Let z(s) = -s**3 - 4*s**2 + 8*s + 5. Calculate z(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/2))**(39\/7))**(7\/6) assuming y is positive.\nAnswer: y**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjjxjjxj?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16*c**2. Let s(z) = -4856 - 4854 - 8*z + 9710. What is l(s(k))?\nAnswer: 1024*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 398 and -0.4.\nAnswer: -159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157694279 to the power of 1\/2, to the nearest integer?\nAnswer: 34025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100000110011011111 (base 2) in base 9?\nAnswer: 3181783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/8 - 5*v**3\/6 - 5*v**2. Let i be t(0). Let x be ((-700)\/(-6))\/(i\/(-420)). Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 3*p - 0*p + 2*l, -2*p + 178 = -4*l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 22*q + 106. Let k be w(-4). Factor -25\/2*i**k - 8 + 20*i.\nAnswer: -(5*i - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**2 - 8*n**2 - 8*n**2 + 32*n**2 - 4 - 8*n**2 + 689*n to the form w*n**2 + t + m*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.414261ml to litres.\nAnswer: 0.007414261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*j = -254*j - 247*j + 288 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(35)\/(2*sqrt(7)) + (5*sqrt(50))\/sqrt(10) + 2)**2 + 0)*-5.\nAnswer: -15225\/4 - 275*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 + 4*n - 4. Let c be q(-6). Let z(y) = y - 10. Let s be z(15). Suppose -s*v - 3 = -18. Solve -2*x - 3*o = -c, 8 = -x + v*x - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*5\/30 + -4 + 1. Let q(w) = -w**3 - 2*w**2 - w + 3. Let u be q(v). Solve -j - 2*j = 6, u*j = -a - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 12453860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Let y = -5 + 1. Which is the closest to 0.1? (a) y (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58851930 is divided by 52782.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41430 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: Divide 98 by 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 3, m: 3, g: 1, n: 8, f: 1}. What is prob of sequence nfy?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1262 + -1135. Solve -132 + f = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjxxnxgjxgxajbjgbbg. Give prob of picking 3 j and 1 b.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*d + 23 = 0, g + 3*g - 13 = d. Suppose -g*l = 4*n - 2*n - 132, -5*l = 0. Suppose 0 = 4*f + 6 - 98. What is the remainder when n is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413717 is divided by 151?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*z**3 - 144*z**3 - 59 - 61 + 120.\nAnswer: -417*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.152 times -0.3?\nAnswer: -154.8456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + -3.3. Let s = 0 - 11. Sort s, q, -1\/2.\nAnswer: s, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -33, -51, -75, -105, -141, -183?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49853520 a multiple of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15675 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 5 (c) 18 (d) -25680 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4034.38 - -2.71.\nAnswer: -4031.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2498km in centimeters?\nAnswer: 2324980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, 4, -2\/87, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42593977 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 6. Let m = -8 + x. Which is the nearest to m? (a) 3 (b) -4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*u = 2, -l - 2*u + u - 1 = 0. Solve l = f - 5*f + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2. Let h(z) = -6540797*z. Calculate h(c(p)).\nAnswer: 26163188*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4 + 2692*p**3 - 7271100*p**2 - 5962904100*p + 11954871000 = 0.\nAnswer: -1035, 2, 1395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4) - (-2)\/4. Suppose x*s + 2*s + 5*q + 15 = 0, -4*s + 4*q + 20 = 0. Sort 0, -1, s in increasing order.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i - 1. Let y(f) = 7 + 5 - 15. Calculate p(n) - y(n).\nAnswer: -n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 10*h**3 + 2*h**2 + 2 - 11*h**3 to the form f*h**2 + p*h**3 + r + g*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2373?\nAnswer: 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -109.5, -1.9, -2\/7, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6545 + -6539. Which is the nearest to -0.1? (a) 2 (b) -3 (c) t (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 19*x**2 - 11*x + 22. Let w be g(-19). What is the third derivative of -2*o**2 + 115*o**4 + 100*o**4 - w*o**4 + 17*o wrt o?\nAnswer: -384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.04 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 35. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c0 (base 13) in base 8?\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002454104335 rounded to five decimal places?\nAnswer: -0.00245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -52*b - 1. Let w(m) = -m + 7. Let k be w(13). Let s(y) = -17*y + 209. What is the remainder when i(k) is divided by s(10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1671, 3330, 4989, 6648, 8307?\nAnswer: 9966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let t(a) = 5*a - 6. Let u(j) = -2*d(j) - t(j). Let c(i) = -i + i + 1 - i. Suppose 2*s = -3*s + 5. Give s*u(g) - 5*c(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1158 divided by -69784.\nAnswer: -579\/34892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -657878 (base 14) to base 16\nAnswer: -347d22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128363328.\nAnswer: 2, 3, 17, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 0.1 (c) 1\/6 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495 and 385?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ac939 - 2?\nAnswer: ac937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953586213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 - 9*x - 1. Let s be b(8). Let r be (s\/2)\/(3\/(-4)). What is the third derivative of 2*l**r + 2*l**6 - 3*l**6 + l**2 - 4*l**2 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 11*b + 7. Let c be l(5). Let a be (-130)\/(-14) - 2\/7. Let f = a - c. Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128061850.\nAnswer: 2, 5, 467, 48311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -607, -1525, -2751, -4285?\nAnswer: -6127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 6*n - 6. Let q be 0 + (-22)\/(-2)*36. Let s = q - 390. Calculate d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 89*g**8\/168 + g**5\/60 + 119*g**4\/24 - 455*g**2. Find the third derivative of i(b) wrt b.\nAnswer: 10680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 5933?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65030.\nAnswer: 2, 5, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*y + 5 - 2 - 34*y - 4*y to the form k*y + g and give k.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(78) + -2*sqrt(78))\/sqrt(6) + -1*sqrt(13)*1 + 1*sqrt(13) + 3 - (5 + 2 + ((sqrt(117) - (sqrt(117) + -2)**2) + -5 - sqrt(117))).\nAnswer: -8*sqrt(13) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + h, -2*q - 19 = -5*h + 6. Solve q = 3*j + 2*b + 10, -5*b - 6 = 2*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27670624 divided by 6917656\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79283, 316873, 712849, 1267205, 1979935, 2851033?\n\"Answer: -d**3 + 79199*d**2 + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 246 + (0 - -1) - (-18 + 15). What are the prime factors of n\/((0 - -1)\/((-11)\/(-22)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/5, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9) + (11 - (14 - 2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 + 261*n**2 - 2576*n - 14591. Let t(j) = j**3 + 52*j**2 - 515*j - 2918. Let h(z) = -11*t(z) + 2*x(z). Factor h(w).\nAnswer: (w - 27)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*f + 13*f - 28*f)*(0*f + 4*f + f + (1 - 1 + 2)*(2*f - f + f)).\nAnswer: -468*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34318 + 5?\nAnswer: -34313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20124 + 2?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 + 34*t**2 - 71*t wrt t?\nAnswer: -6*t + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98) + -3.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgwwccgcgwwc. Give prob of picking 4 c.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - n + 4 - 87 to r + d*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10180 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, -179, -474, -845, -1286, -1791?\nAnswer: -2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1724 - 87265?\nAnswer: -85441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141565 - 380*w**3 + 141565.\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1424 divided by -9.\nAnswer: 1424\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, p: 4, z: 4}. Give prob of sequence pzz.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/(-128)*(-32)\/12. Let v(z) be the second derivative of -2*z + 0 + 0*z**3 + 5\/6*z**4 - k*z**2. Find the first derivative of v(p) wrt p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-69)\/(-46)*284\/3. Let v = g - 153. Let c be 1\/2*2 - 12. Is v >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 7*s + 18 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 22, 175, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*y + 1065 = -9*y, 0 = 3*l - y - 807. Suppose 0 = 3*n + 45 - 39, -4*j - 2*n = -36. Calculate the greatest common divisor of l and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 j when four letters picked without replacement from ymbjyybjjjjyyjjmyy?\nAnswer: 49\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22465882 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 + -122?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2002 divide 1871211342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 + -189?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-3) - (7 - 9\/3). Which is the third biggest value? (a) -2 (b) o (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146902 is divided by 5439?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/1)\/(8\/24). Let m(t) = 2*t + 4. Let g be m(n). Let l(x) = x**3 + 7*x**2 - 7*x + 10. Give l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/35 and 83\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 3*b**6\/70 - 3*b**5\/20 - 17*b**4\/84 - b**3\/14 + 2*b + 4. Let j(d) = 0. Calculate d.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - (-3 - 2) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468714397 to the power of 1\/2, to the nearest integer?\nAnswer: 21650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2770*r - 132997. Calculate l(-48).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-2 - (-8 - -4)). Put 0.2, -5, j in increasing order.\nAnswer: -5, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/72 - (-30)\/16. Let s be ((-1)\/j - -2)\/((-7)\/(-14)). Solve 4*c + 5 = s*i + 15, -24 = -5*c - 2*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854982 is divided by 24380?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 19, 27, 33?\n\"Answer: -t**2 + 13*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/126)\/(34\/(-2992))?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 plus 498?\nAnswer: 498.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 516596293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/2)*b*b\/((b\/b**(-9\/10))\/b) assuming b is positive.\nAnswer: b**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 57015*t + 798980. What is q(14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.32 + 0.08. Let u = -1 + o. Let a = u + -0.1. Sort 2, a, 0.2 in decreasing order.\nAnswer: 2, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032745 rounded to seven decimal places?\nAnswer: -0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 93847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22) - (188\/(-1034) - 584\/(-220))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189961, -379744, -569527, -759310, -949093?\nAnswer: -1138876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002293858 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbb when four letters picked without replacement from {b: 6, d: 12}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 26*j**2 - 26*j + 32. Let i be o(-27). Solve 20 = -i*k, 20 = 5*n + 4*k + 46 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3873401, -3873399, -3873397?\nAnswer: -3873395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {z: 2, e: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 280.5804.\nAnswer: -140.2902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 40, 51, 64?\n\"Answer: j**2 + 6*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21776, -21765, -21746, -21719, -21684, -21641, -21590?\nAnswer: -21531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*f + 51, 0 = 3*f - 5*f + 2*x + 22. Suppose 0 = -f*v + 98 + 4666. Is v 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 {e: 1, h: 4, z: 1, a: 1, y: 4}. Give prob of picking 1 a and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrvr when four letters picked without replacement from {r: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3679045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -48, -109, -204, -333?\n\"Answer: -17*r**2 + 24*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)\/sqrt(3) + sqrt(33))\/(-6*(sqrt(12)\/sqrt(4) + sqrt(3))) + ((-6*(-3*sqrt(11) + sqrt(11)))**2 + sqrt(11) - sqrt(198)\/sqrt(2)).\nAnswer: -13*sqrt(11)\/6 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o + 3 = 0, 5*l + 3*o = 11. Suppose -4*u + 32 = l*j, -3*j + 4*u - 23 = -4*j. Solve -59*f = -56*f - j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/6 - 69190\/(-8880)?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11371950*a**2*b**2 - 4*a**2*b - 4*a**2 + a*b - 4*a + 3*b + 11132 wrt b?\nAnswer: 22743900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14351 (base 8) in base 7?\nAnswer: -24410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 6*m + 3. Let d be u(-6). Let o = 43\/2 + -85\/4. Let v = -3 + 2.7. Which is the second biggest value? (a) d (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6451.8 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + (-5 - -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**3 - 10*y**3 + 2*y - 4*y**2 + 0*y + 0*y**2 - 16*y**3 in the form q*y**3 + r + w*y**2 + f*y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = -13*n + 344. Let w(y) = -y**3 + y**2. Let b be w(2). Let j be 2*13*n\/b. Calculate the greatest common divisor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355b58 (base 16) to base 13\nAnswer: 955810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/20 - 4*t**4\/3 - t**3 + 19*t**2\/2 - 3*t. Let m be g(17). Let v = m + -133. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76412*b = -76464*b + 832 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*o - 7 + 357 = 0, 4*o = -2*f + 128. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 638.05 + -638. Let i = w - 0.95. Which is the closest to 0? (a) 3 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)\/k*k**(19\/4) assuming k is positive.\nAnswer: k**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 20 = -i, 4*i - 336 + 336 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4736, -37840, -127678, -302618, -591028, -1021276?\n\"Answer: -4728*c**3 + c**2 - 11*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584) + -5)**2 + -3 + (sqrt(1584) + -2 + sqrt(1584) + sqrt(1584))**2 + sqrt(1584).\nAnswer: -252*sqrt(11) + 15866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 25. Let q(n) be the third derivative of 1\/60*n**6 - 3*n**2 + g + 0*n**5 + 0*n**4 + 0*n**3 - 1\/42*n**7 + 0*n. Solve q(i) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 + (-4)\/(-16). Let i(f) = -3*f + 4. What is the remainder when i(-3) is divided by (w*3)\/(30\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2)**2 + -2 + -3)*3 + (-3 + (3*sqrt(76) + 0)*-4)**2.\nAnswer: 168*sqrt(19) + 11178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 + 19300*m - 186245000 = 0. Calculate m.\nAnswer: 19300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18*(-1)\/15*200. What is the greatest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/8 + -1)\/((-13)\/(-520)). Suppose 8*w + r = 2*w. Let b be (-1)\/w - 2398487\/(-65). What is b rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3854411.\nAnswer: 11, 59, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 80310906 divided by 2946\nAnswer: 27261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-54) - (-2)\/(-12). What is the remainder when (-28 - 1)*g\/((-4)\/4) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l. Let y(i) = 7130*i**2 - 654*i. Determine y(b(j)).\nAnswer: 114080*j**2 + 2616*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.698541 rounded to two decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d - 11. Let j be k(-11). Suppose 18*w + 427 = 1219. Calculate the highest common factor of j and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393209281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -224?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -1528\nAnswer: 3667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57018 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8717*b**2 + 33*b - 1020. Let q be s(36). Round q to the nearest one hundred thousand.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1330 - -1345. Solve -2*j = n*j - 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800744 is divided by 598?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 125472796.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1927*u - 1940*u - 113*u**2 + 3905*u as w*u + x*u**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -20*d - 5 + d + 5 + 1 + 20*d. Suppose 2 = -3*w - 1. Let r(z) be the third derivative of z**4\/8 + 5*z**3\/6 - z**2. What is w*r(j) + 4*n(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 2*f - 445, 5*f = 5*l + 1125. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -30319, 3, 4, 1 in decreasing order.\nAnswer: 4, 3, 2, 1, -1, -30319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648970652.30857 + 0.3.\nAnswer: -648970652.00857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3 - 6. Let u be (-390)\/(-18) + (-1)\/d. Suppose 5*c + 4*s - s = u, -4 = 4*c - 3*s. Solve 6 = -c*p + 4*n, -2*p + 4*n = p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**5 + l**2 - 1. Let s(g) = 11*g**5 + 570*g**4 + 8833*g**3 - 6079*g**2 + 1024*g - 1. Let a(w) = -4*h(w) + 4*s(w). Find f, given that a(f) = 0.\nAnswer: -32, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1149831 divided by 10\nAnswer: -1149831\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o + 2*o**2 - 4 + 1 - 3*o**2 + 2*o**2. Is z(10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2057 - 1000 = -393*y - 5022 - 18287 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 - 40*w - 14 - 26*w**3.\nAnswer: -26*w**3 - 40*w - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {h: 1, g: 9, f: 4, k: 2, j: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/60 + 5*b**4\/24 + b**3\/3 - b**2. Let g be q(5). List the prime factors of 6*g\/(-3)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b - 6*i + 3*i, 0 = -4*b - 5*i - 8. Suppose -b*r - 12 = -48. Suppose 8*n - 20 = r. What is the lowest common multiple of 17 and n?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/60 and 59\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qacq when four letters picked without replacement from vcqqa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3. Let t be ((-2)\/6)\/(-2*(-5)\/150). Let w(l) be the first derivative of -l**3\/3 - 3*l**2 - 5*l - 1. Let b be w(t). Determine q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567 or 568?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - s - 28 - 26, -27 = -r + 3*s. Solve 0 = 23*n - 14*n + r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1610, -1600, -1570, -1508, -1402, -1240, -1010?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2941 + 2914. Let l(z) = -z**3 - 27*z**2 - 2*z - 52. Give l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 3. Let a(o) = 3*o - 4. Let z(l) = 3*a(l) - 4*y(l). Let h be (-1 + (-1 - -2))*-1. Let q(r) = -r + h + 0. What is q(z(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00543688 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5)*-2)\/(162\/405)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -58*w + 1162. What is b(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -22 - -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 2. Let c be g(3). Let p be -1 - -3*(1 - -1). Let i = -262 + 264. Solve -5*j + i*r = p, -3*j + 0*j - 3 = c*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326 less than 10633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 5:31 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.330946 + 626757.169054. Let o = p - 626758.42999997. Let j = -0.07 + o. Round j to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 14. Suppose 1482 = -252*v + 330*v. What is p(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 - 5 = 2*i, 3*c = i + 10. Solve 3*b - 4*f + 4 = 0, b - 22*f - c = -24*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -88*j - 230*j + 24*j + 44*j. Let o(p) = -66*p + 7. Let m(f) = 47*f - 5. Let n(d) = 7*m(d) + 5*o(d). What is c(n(i))?\nAnswer: 250*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(9\/4)\/(-3). Let i(y) = 3*y**2 - 45*y + 4. Let a be i(15). Suppose -s - 4*f = a*s + 49, -f - 19 = 2*s. Sort s, -5, g.\nAnswer: s, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -5. Let w(y) = 4*y**2 - 1. What is the units digit of w(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*6 - (sqrt(132) + sqrt(132) + ((-3*sqrt(132) - sqrt(132))*4 - sqrt(132))))\/(-4*sqrt(60)\/sqrt(180)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25716 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 311\/10 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*j, -j - 4 + 1 = -2*o. Suppose 4*q - 4*u = 20, u = -5*q + o*u + 16. Let y(a) = -4*a**3 + 4. Let h(l) = -9*l**3 - l + 9. Give q*h(w) - 5*y(w).\nAnswer: 2*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2261558, 1 in decreasing order.\nAnswer: 4, 1, -2261558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1\/2*b**4 + 16*b**3 + 51*b**2 + 52*b + 35\/2 = 0.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4128 (b) -5 (c) 305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 607?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/21 + 2244614*i\/21 - 3527216\/3 = 0. What is i?\nAnswer: 11, 1122296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.26 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 184620101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5813 - 5808. Sort 6, -4, l, -3.\nAnswer: -4, -3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 39*z - 20*z - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -89136, -89164, -89192, -89220, -89248?\n\"Answer: -28*s - 89108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42401 (base 5) in base 7?\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1070622 and -143\/15822.\nAnswer: 3211866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) 100\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -7. Let l = 15 - x. Suppose 13*f - 18*f = -10. Calculate the least common multiple of f and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -0.3. Let m = u + 2.6. Which is the nearest to 0.2? (a) -2\/17 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000228545395 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/4 + 2013*s**3\/4 - 11421*s**2\/2 - 52201248*s + 8647693824 = 0?\nAnswer: -322, 289, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 148. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 201, 329, 459?\n\"Answer: q**2 + 123*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 727\/(311156\/(-17976))*4\/42*18\/2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 + 85 + 8 + 7*f + 61.\nAnswer: 7*f - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(69 + (-61792)\/896).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 21*z - 12*z as k*z + y and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56909, -114218, -171527, -228836, -286145, -343454?\n\"Answer: -57309*a + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 62. Let j(m) be the second derivative of -5*m**4\/3 + 2*m + 1416. Determine j(g(p)).\nAnswer: -80*p**2 - 4960*p - 76880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a decade?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001011 (base 2) in base 14?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -59, -54, -47, -38, -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*r**5\/3 + 2405*r**4\/3 + 35612*r**3 - 134992*r**2\/3 - 158656*r\/3 - 11696 = 0. Calculate r.\nAnswer: -34, -2\/5, 2, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*q + 4053 = 75469, -4*z - 142808 = -2*q. Round z to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7068194503 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1141 and 28?\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 164 = -4*v, -4*r + 5*v + 215 = r. Suppose 0 = -2*z + 5*n + 36, -40*z + r*z = -4*n + 72. Which is greater: 27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23300, -46627, -70008, -93467, -117028, -140715, -164552?\n\"Answer: -4*u**3 - 3*u**2 - 23290*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.67 - -3.86. Round q to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 11*c + 32. Let u be k(7). Suppose -5*a = -81 - 34. Let i = a - u. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59454 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 125645?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/21)\/(24\/(-208)))\/((-544)\/1904).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - h - 6 = 0, -27*y - 2*h + 36 = -23*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + c + 16. Let s be j(0). Suppose 20 = 2*g - s. What is the remainder when g is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-74))\/(-3 + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/33 and 2\/276*(7840\/24)\/(-14).\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 67256?\nAnswer: 201768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((sqrt(243) - (sqrt(243) + 0)) + -3)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 2*y**2 - 10*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -168*p**3 - 611*p**2 - 7*p - 10937654?\nAnswer: -504*p**2 - 1222*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1085 and -112.54?\nAnswer: -122105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10*r**2 - 6 + 3.\nAnswer: -10*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112082736 to the nearest integer?\nAnswer: 10587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 59 = -i, 2*b - 2*i + 32 = 4*b. Solve 0*h - 2*q - 3 = -h, -5*h + 3*q + b = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 234209184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*w**3 - 115*w**3 - 85*w**3 - 521*w**4 + 1304*w**2 wrt w?\nAnswer: -12504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242.0017 + 0.0017. Let r = -326 - p. Put r, -2\/7, -5\/2 in decreasing order.\nAnswer: -2\/7, -5\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(3\/2))\/o*o)\/o**(-4))**(-3\/37))**(-4\/3) assuming o is positive.\nAnswer: o**(14\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:00 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/200 and 49\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-8) - 6\/(-8). Suppose -j*w = -27 - 68. Let c = w + -6. Calculate the greatest common divisor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 11*l + 4. Let h be (-122)\/10 + (-2)\/(-10). Let d be (-62)\/(-8) - (-9)\/h. What is the units digit of j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-57)\/15 - -4). Let a(f) = 5*f**3 - 10*f**2 + 10*f + 10. Let w(j) = 6*j**3 - 11*j**2 + 11*j + 11. Let t(v) = -7*a(v) + 6*w(v). Calculate t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(2)*-4.\nAnswer: -8*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 184\/96*15\/6 and 91\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1355 + -583. What is the remainder when w is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 13 + 0*k**2 - 5\/3*k**3 + 0*k. Let j(a) be the third derivative of 13*a**4\/24 - a**2 - 32*a. Determine j(y(r)).\nAnswer: -65*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let j(n) = -34*n**2 + 14 - 14. Calculate j(f(c)).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 12*m + 32. Suppose 3*t = r + 43, -2*r + 2 + 16 = 2*t. Let h be l(t). Suppose -17*n = -h*n + 4. Solve n*q = 3*y + 3 - 1, -2*y - 2 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82830*w**2 - 41376*w**2 - 41511*w**2.\nAnswer: -57*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from venevvveennvneeee. What is prob of sequence vvev?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00393 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 + 42 + 44 - 4*q**2 + 34 - 2*q**4 + 31 as a*q + u*q**4 + y*q**2 + o*q**3 + i and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4521962 to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2317 (base 10) to base 16.\nAnswer: -90d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59441213?\nAnswer: 13, 29, 157669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*x = -5, -x - 2*x = 2*c - 13. Let f(k) = -c - 2 + k**2 + 2. Let y be (-6)\/(-4) + 36\/(-8). Let v(w) = w**2 + w - 3. Calculate y*f(h) + 2*v(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 + 141?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, -52 in increasing order.\nAnswer: -52, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Let o be -1 - (623 - (1 + n)). Let d = o + 995. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14976 divided by -3\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97528283 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464 + 481. Solve -71 = -w*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 + 3 = 4*t, -t - 4 = 0. Solve -3*f = -2*l - r + 16, 4*f - l = -13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1087260.6 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8435, 17147, 25841, 34523, 43199, 51875, 60557, 69251?\nAnswer: 77963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -456*p**3 + 4*p**2 + 142*p + 652. Let o be q(-5). Round o to the nearest one hundred.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9*h + 12. Suppose h*i - 30 = -6*u + u, -5*i + 45 = 5*u. Solve i*p - 9 = 4*q, 3*p = 2*p + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = 2*t, -t = 5*k + 15 - 2. Let g = -61 - -65. What is the second derivative of 4*j + g*j + 4*j**2 + 5*j**t - 5*j**2 wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 152?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -177 in descending order.\nAnswer: 2, -5, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-55)\/33)\/5)\/(4*(-5)\/1620).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -495*t - 9171 - 6493 + 25181 + 21668 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 979365, 979366, 979367, 979368, 979369?\n\"Answer: l + 979364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, -122162, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 283974 divided by 38\nAnswer: 7473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -247*x + 379*x - 17792 - 4648. Which is the nearest to -3? (a) -5 (b) x (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 - 4*g + 3. What is p(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*u = -225*u - 332934. What are the prime factors of u?\nAnswer: 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7 + 8 - 2*u - 18 - u + 0*u. Let s(h) = 3*h + 4. Let p be (-46)\/14 - 4\/(-14). Determine p*s(d) - 4*l(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 12:07 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l - 101*l + 188*l - 45 = -5*b, -2*b - 66 = -4*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26160.27303 from 13.\nAnswer: -26147.27303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.4, -51, 1364?\nAnswer: 1364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/2))\/(y**(1\/3)\/y)*(y**(1\/4))**37 assuming y is positive.\nAnswer: y**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 12. Let u be 102\/b + 10\/45. Suppose -4*h + h - 2*f = -38, 2*h = -u*f + 28. What is the greatest common divisor of 96 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o + 76. Let y be l(-9). Solve 0 = -y*w - 6 - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 + 5.9. Let y = 14 - 10. Put 2\/3, z, y in increasing order.\nAnswer: z, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixxxxz. Give prob of sequence ix.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/9305132?\nAnswer: -1\/9305132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 158*g - 153*g - 39, 3*a = g - 26. Let f be (-1 + 1 + -2)\/13. What is the fourth smallest value in 11\/4, f, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 0.111619.\nAnswer: -0.781333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2 + 730850*s + 730849 = 0.\nAnswer: -730849, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 25*a = -16. Solve -k - 3 = -a*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*w + 74, 0 = 2*y - 2*w - 0*w + 36. Let o be 4*(-18)\/y*(-8)\/(-12). Solve o*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(((-4)\/(-10))\/((-24)\/(-10))). Let i = v + -66. Calculate the greatest common divisor of 28 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419328423 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24 = 4*p + h, 2*h = -2*p + 24. What is the remainder when 15 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -130 + 842122?\nAnswer: 841aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173691 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = -16. Calculate the common denominator of -121\/10 and (-46)\/d - 4\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/96379?\nAnswer: 3\/96379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3739.84 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let a(t) = 22007*t. Give a(x(m)).\nAnswer: -22007*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15408 = -n, d - 3078 = -5*n + 6*n. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 9 - 24) + 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -98, 2, -5, 1\/3, 5, 1\/5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8524 + -8514. Solve d*k = 14*k + 36 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g - 10*g + 27*g - 14*g. Let t(n) be the third derivative of n**5\/30 - n**2. Calculate a(t(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303548319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*5\/(-75).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2679 in 20, -44, 0.2, 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u + 135 = l, 3*u + 80 = 5*l. Let r be 7\/u*(-1)\/(-1). Let q = -5.06 - -0.06. Sort 0.6, q, r in decreasing order.\nAnswer: 0.6, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4\/(-16))\/(0 + 2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4162 and 9560?\nAnswer: 19894360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706 - 1458 + 0*f**3 + 9*f**3 + 752 - 24*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -1\/6 (c) -3\/10 (d) -8 (e) 3\/8 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 6807966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2749, -22843, -77541, -184147, -359965, -622299?\nAnswer: -988453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(3\/9). Solve 5*c - 10 = -0*s + s, -2*s = -c + j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Suppose j = -5*p + 63, -p + x*p + 5*j = 55. Let v(c) = 2*c - 3. Calculate the remainder when p is divided by v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 42*b**2 + 37*b - 220. Let s be h(8). Suppose -n = -5*n - 3*o + s, o = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-1 + 6 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/28 + 2\/(-8). Let u = 11\/42 + w. Which is the second smallest value? (a) 4 (b) u (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 0.27. Let d = -0.75 + 0.05. Let u = d - v. Put u, -0.5, 0.2 in decreasing order.\nAnswer: 0.2, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/3 + 4397*o**3\/6 + 65741*o**2\/6 - 2785*o = 0.\nAnswer: -15, 0, 1\/4, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(5 + -2). Suppose -5*r - 2*x = l*x - 99, 4*r + 3*x - 80 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crce when four letters picked without replacement from {r: 2, c: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40928 and 2272.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:11 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 2*i**2 + 3*i**3 - 4*i**3.\nAnswer: -7*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 808596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -57 + 4*(-45)\/(-20). Let y = o - -157. Solve -1 = -y*g + 108*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from jjjaajjjajjajjjjjjaj?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(-14*7\/(-392)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 5. Let b(r) = -r - 4. Suppose 3*g - 5*v + 0 = 1, -3*g - 3 = -3*v. Let t be 11\/5 - (-1)\/(-5). Determine g*b(s) + t*h(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*i - 15, 5*m + 4*i - i = 75. Sort -5, m, -6, 4.\nAnswer: -6, -5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 5*n + 4. Let y be b(6). Let p be ((-19)\/(-2))\/((-5)\/y). Let l = -17 - p. Let f(i) = i**2 + i - 2. Determine f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -23163 + 23163 + o. Let m(k) = 22952*k. Give h(m(i)).\nAnswer: 22952*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -521*q**8\/168 + q**6\/60 - 3*q**4\/8 - q**3 + 4088*q**2. What is the second derivative of w(v) wrt v?\nAnswer: -20840*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and 103\/20274.\nAnswer: 20274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 41.077.\nAnswer: 41.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 45*l - 31. Let k be g(-8). Let c = -249 - k. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*b = -14*b + 27824. Sort -2\/9, 0.2, b in increasing order.\nAnswer: -2\/9, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1. Let n be a(3). Suppose l - n*l = 5. Let v = l - -24. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*h - 967 = -2*a, 2916 = -3*a + 4*h. Is (a\/12)\/((-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 235.\nAnswer: -1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-108)*(-6)\/(-8)*-4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30695 + 49920. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 288, 651, 1144, 1761, 2496?\nAnswer: 3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 403057257 and 14791092?\nAnswer: 1612229028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 20*v - 100. Let g be a(-10). Solve g*k - 3*k + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (40 + -145 - -34)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.39 - -0.79. Let c = 24 + -25. What is the nearest to 0 in u, c, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {t: 3, f: 1, y: 4, p: 1, k: 4, s: 7}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1415 (b) 2\/3 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 1 + 8 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 2, u: 2, l: 3, k: 3, c: 1}. What is prob of sequence ul?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/6*-1 + 71468\/102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662155?\nAnswer: 5, 13, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1825 divided by 5?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6051 - -6058. Solve -w + j = -4*p + p, -5*w = -5*p - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 41 = 1129. Calculate the remainder when w is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + ((0 + sqrt(108))*-2)**2 + -3 + sqrt(108)*2*6)*6.\nAnswer: 432*sqrt(3) + 2538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20180 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.015 - -29.015. Let z = r + -24. Let l be ((-12)\/66)\/((-39)\/33). Which is the fourth smallest value? (a) l (b) z (c) -1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(119)*2 - sqrt(119)) + sqrt(119)) - sqrt(119) - sqrt(119))*4*-1)\/(3*sqrt(448) + sqrt(7) + sqrt(343) + -4*sqrt(343) + sqrt(343)).\nAnswer: -8*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1010.44 to the nearest integer.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14362 and 62565.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3 + 12, 0 = -4*h + 4*u + 1504. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2*b**7\/21 - 4*b**6\/15 + 6*b**5\/5 + 4*b**4\/3 - 26*b**3\/3 + 12*b**2 + 4*b - 16. Factor z(p).\nAnswer: -4*(p - 1)**3*(p + 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)\/b*b\/b**12*b**(-6\/7)\/(b*b*b**(-14\/9)\/b) assuming b is positive.\nAnswer: b**(-1279\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 42 = -7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 2445730?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 17*g + 35 = 0. Let v(x) = -4*x + 183. Let q be v(39). Sort 1, q, g in ascending order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-24))\/(36\/(-8))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*v = -17, -6850 = -5*w + 2*v - 6873 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14775 - 9003 = -535*n - 5588 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 702698760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -53\/3. Let x = 7 + 7. Let q = x - 13.5. Sort h, q, 2\/5 in increasing order.\nAnswer: h, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/7 + 7890*q**2\/7 - 74612*q\/7 + 35334\/7 = 0. Calculate q.\nAnswer: 1\/2, 9, 1963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 181, 507, 1017, 1741?\n\"Answer: 5*s**3 + 47*s**2 - 4*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -21. Which is the closest to l? (a) -4\/9 (b) -1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 33*a. Let i(f) = 20*f. What is t(i(s))?\nAnswer: 660*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*v + 4*h = 60, 44 = 33*v - 29*v + 4*h for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 726, -332, 2, -2 in descending order.\nAnswer: 726, 2, -2, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8 - 20. Suppose 4*k - t*k = 12. Calculate the smallest common multiple of 6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111956 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/42*-2*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19*v + 31. Let w be d(-7). What is the units digit of (-3480)\/w + 4\/(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 129 (c) -3 (d) 1\/3 (e) 0.86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.106498 micrograms in nanograms?\nAnswer: 8106.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 519\/12 - (-15)\/20. Let n = u - -329. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/41 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200022202121 (base 3) in base 15?\nAnswer: -4a19bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -23 (b) -3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/11 - 1434*o**3\/11 + 141532*o**2\/11 - 680544*o\/11 + 806400\/11 = 0.\nAnswer: 2, 3, 112, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 5 (c) -0.3 (d) 24\/25 (e) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 114\/42 + (-2)\/(-7). Find the third derivative of 2*h**3 + 6 - 3 - 3 - b*h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -18*f**3 - 3*f**2 + 12*f + 9. Let j(n) = -6*n - 4 + 2*n**2 - n**2 + 9*n**3 + 0*n**2. Let o(c) = 9*j(c) + 4*q(c). Factor o(t).\nAnswer: 3*t*(t - 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 91 in descending order.\nAnswer: 91, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 43761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2576483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4835, -5766, -6707, -7652, -8595?\nAnswer: -9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -36, -56, -84?\n\"Answer: -4*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - -0.1. Sort -0.1, -0.02, n in ascending order.\nAnswer: -0.1, -0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) 1\/4 (b) 17 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 21750?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/41 less than or equal to 949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 398581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5156583, 5156566, 5156549, 5156532, 5156515?\n\"Answer: -17*d + 5156600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1449\/92)\/((-1)\/((-592)\/3)) and 10.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -72. Calculate the remainder when 27 is divided by (-25)\/15*(v + 8\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 24 - 234. Does 17 divide (-4250)\/p + (-2)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 111940596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddfwgdrrfggdfrww. What is prob of sequence dwf?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Let v(l) = -10*l + 6. Let a be v(u). Let d = a - -54. What is the least common multiple of d and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -3. Let a = -0.3 - p. Put -2, a, -2\/9 in decreasing order.\nAnswer: -2\/9, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27082 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 802 + 4898 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.953397 to 1 dp.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 - 1 = 0, 129 = -4*f - 3*h. Let l be 179498\/(-5) + 12\/f. What is l rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:01 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 108*h**3 + 1904*h**2 + 10260*h - 12274.\nAnswer: 2*(h - 1)*(h + 17)*(h + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -932.9 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 284898 + -1994285\/7. Let v = 1.1 - 1. Sort 5, d, v, 2\/21 in decreasing order.\nAnswer: 5, d, v, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j - 1. What is the units digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5\/7 - 45*l**4\/7 - 6*l**3.\nAnswer: -3*l**3*(l + 1)*(l + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, s: 7}. Give prob of sequence sss.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*w - 2*w - 2*l, -5*w = -2*l - 43. Let p(q) = q - 2. Let y(m) = 32 + 3*m - 73 + 35. Give w*p(z) - 2*y(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 8. Let y be ((-12)\/10)\/(15\/100). Let x be c(y). Suppose -47 = -2*j + r, x*j + 25 = j - r. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + v, -4*v - 10 = -2. Let p(t) be the second derivative of -1\/3*t**3 + 0 + b*t - t**2. What is the derivative of p(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160 - -164. Suppose -2*c = -5*n - 25, 2*c = 4*n + 5*c + 20. Sort 5, n, b.\nAnswer: n, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:07 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23102637, -46205275, -69307913, -92410551, -115513189?\n\"Answer: -23102638*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19481*p + 155877. Calculate v(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/sqrt(5))\/sqrt(5) + -2*sqrt(108))\/(-6*sqrt(24)*2*-1).\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:43 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101111010 + -100010010001000?\nAnswer: -101000000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 7. Let a be k(5). Suppose 6 = a*v - 2. Suppose -v*n = -3*n - 400. Round n to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2407*f = -2427*f + 80. Let i(c) = -c**2 + 7*c. Let s be i(7). Solve s = -v - f + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25, 33, 41, 49?\n\"Answer: 8*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 101. Let h be 14 + (-20)\/(4 - k). Suppose 4*r = -5*c + 90 - 25, -4*r = c - 77. What is the highest common divisor of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2966 + -2967. Which is the biggest value? (a) 0.5 (b) 4 (c) h (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, 5, 139?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 439 + 51. What is the remainder when q is divided by ((-225)\/(-420)*8)\/(3\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 37 + -30 + (115 - 56).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -9, -7, -2\/17?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -3*u**5\/20 + u**2. Let c(d) = 6*d**2 - 5. Let t(n) = 9*n**2 - 8. Let i(j) = 8*c(j) - 5*t(j). Determine i(g(r)).\nAnswer: 243*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/5)\/(d\/d**(-4\/3)))\/(d**(-1\/4))**(2\/61) assuming d is positive.\nAnswer: d**(-2059\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.7712 weeks in seconds?\nAnswer: 381490421.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/18 and 55\/61884?\nAnswer: 61884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 68*i + 72*i + 24, h = i + 12. Solve 17 = 2*s + 5*d, -h*s - 14*d = -12*d + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30503514?\nAnswer: 2, 3, 53, 95923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22223 + -399863\/18. What is the common denominator of 7\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-161.\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/12 - 5*p**3\/6 - 3*p**2. Let q be n(-4). Suppose -q*u + 4 = 1. Are -2\/9 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1)*x)*x**4)\/(x**(-2)*x\/(x\/x**(1\/4))*x))\/((x\/((x*x**(2\/17))\/x))\/x*x**(-1\/6)*x*(x*(x*(x\/(x**(-1)*x))\/x)\/x)**(4\/13)) assuming x is positive.\nAnswer: x**(12535\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -516.5?\nAnswer: -2582.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*z + 304 = 0, 4*l + z = l + 905. List the prime factors of l.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 e when four letters picked without replacement from {e: 4, h: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 3681580?\nAnswer: 7363160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = l + 4*l. Suppose 330 = -l*r + 21*r. What is the greatest common divisor of 66 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 - 4*r - 4. Let q be 4 - (16 + -4 - 4). Let y(t) = 15*t**2 - 9*t - 9. Give q*y(l) + 9*i(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 2.34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2 + j + 4*j**2 + (-j + j - 2*j)*(4*j - 3*j - 4*j).\nAnswer: 10*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 2. Let r(y) = y**3 + 15*y**2 + 14*y - 6. Let u be r(-14). What is the tens digit of w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 75353.\nAnswer: 30141.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1915200 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 39\/5*i**2 + 36\/5*i + 3\/5*i**3.\nAnswer: 3*i*(i - 12)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b*b**6)**(-10\/17) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-3\/13)\/(r*r**(-1\/6)*r*r\/(r**(-2\/3)*r*r)))\/((r**(-2\/3))**(-3\/16))**(-16) assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 2, -54 in increasing order.\nAnswer: -54, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/128 and 25\/256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 4. Let r = 68 + -53. Suppose t + 11 - r = 0. Let w(z) be the third derivative of z**4\/24 - z**3\/6 + z**2. Give t*u(l) - 14*w(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*o + 4 + 1 - 5 to the form i + t*o and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114366640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - 201. Let p = 6 + -5.7. What is the nearest to p in -0.4, u, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-133)\/(-35) + 2\/10. Is 7592\/18 + r\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*w - 536 + 536)*(6*w + 11*w - 6*w) to s*w + m*w**2 + g and give m.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 - (-23 + 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*s**4 + 215888*s**3 + 12336*s**2 = 0. Calculate s.\nAnswer: -1542, -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 66, -4\/5, 22.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 12*n + 31. What is k(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/2 + 566*l**3 - 2275*l**2\/2 - 3971*l - 2268 = 0. What is l?\nAnswer: -1134, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 237*w - 6765. Give x(29).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 20*w**2 - 7*w - 61. Suppose 5*g - 131 = -4*r, -4*g + 112 = -0*r - 4*r. Suppose -31*t = -g*t + 80. Does 29 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*j + d, 7*j - 4*d = 2*j + 69. Suppose -2*l = -j - 17. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52232592131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14968, -119535, -403240, -955615, -1866192, -3224503, -5120080?\nAnswer: -7642455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 7)*(1 + 1 + 0)*(3 + 11 - 1)*(-43*w**2 - 23*w**4 + 43*w**2) to the form g*w**3 + j*w + t*w**4 + h + n*w**2 and give t.\nAnswer: 5382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -1\/4, 292553, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-15) + 5\/25. What is the second biggest value in 0.2, n, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 12 = 3*g. Suppose -3*k + g = -2*k. Let s be 26\/56 - 4\/(-14). What is the third biggest value in s, -1\/2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6165*o**2 + 1 - 1775*o**2 - 1 + 147*o**2 to b*o**2 + v + m*o and give b.\nAnswer: -7793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:45 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-36)\/(-63))\/(2\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -617, -5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**4 - 196*p**4 - 166*p**4)*(-36 - 53 + 19 - 40).\nAnswer: 37840*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.8 + 12. Let r = -3 - v. Which is the closest to 1? (a) 0 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 - 103. Calculate the greatest common factor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*d + 36, 3*l - 33*d + 22 = -32*d. Let r be 12\/(-20) + -6*4\/l. Let -r*y**4 - 4\/5*y**2 - 2\/5*y**5 + 16\/5 - 22\/5*y**3 + 24\/5*y = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76612, -74980, -73348, -71716, -70084?\nAnswer: -68452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.391387 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-5)\/60*-2. Let t(l) be the second derivative of l**5\/20 - l**4\/6 - 2*l**3\/3 + 3*l**2\/2 + 2*l. Let d be t(3). Are n and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -19. Suppose -3*v = -3*z - 6, 5*v + 2*z + y = 16. Let i be (v + -4)*(-2)\/4. Is i at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Let l(o) = -o**3 + 4*o**2 + 4*o - 6. Let t be l(h). Let p = -2 + t. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -191, -185, -171, -143, -95, -21?\n\"Answer: s**3 - 2*s**2 + 5*s - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 537 or 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -30299600 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(57)\/sqrt(48) - (sqrt(2736) + -2*sqrt(2736) + sqrt(2736) - sqrt(2736)) - (-1 + sqrt(1539) + sqrt(57)\/(sqrt(6)\/sqrt(2))))*-6)**2 + -1.\nAnswer: 162*sqrt(19) + 14003\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -20*m**2 - 43*m + 15. Let n(b) = -7*b**2 - 15*b + 5. Give 17*n(u) - 6*w(u).\nAnswer: u**2 + 3*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 150*h + 60*h to the form t + x*h and give x.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:53 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 9. Let o be i(-3). Let -4*g**2 + 3*g - 6*g + 8 + o*g - g = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3856367 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -2674?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from ozabi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275)*-1 - ((sqrt(275) - (2*sqrt(275))**2)*-1 + sqrt(275))) + -1 + 2*(sqrt(275) + 2)*-3 + -4.\nAnswer: -1117 - 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 8*z - 6. Give k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*l + 1 - 4*l**2 + 2*l**3 - 3*l + 15*l**2 to y*l**2 + s*l**3 + r*l + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 22 - 36)*(-2 - 3*m + 2*m + 2*m)*(8*m + 17*m - 8*m).\nAnswer: 578*m**2 - 1156*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 1. Let n(a) = -a**2 - 26*a + 6. Let i(x) = -n(x) + 6*t(x). What is the second derivative of i(w) wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*q**2 - 1810*q**2 + 508*q**2 + 500*q**2 + 304*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 5}. Give prob of picking 2 j and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/2 (c) 19\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*z - 3 = 0, 19*k - 22*k - 2*z = -19. Which is the closest to 9? (a) 0 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 14691200*g - 10791567872000.\nAnswer: -5*(g - 1469120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 0 + 3 - 5 + 1. Let r(w) = 21*w**3 - 11*w**2 - 4. Let y(s) = 6*f(s) - r(s). What is the third derivative of y(a) wrt a?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -10*a + 120. What is the highest common factor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725609 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g**3 + 55*g**3 - 110*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11800 - -306843\/26. Find the common denominator of n and ((-11)\/(-7))\/((-3)\/((-84)\/80)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132031 - 0?\nAnswer: 132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120342 + 3?\nAnswer: 1120400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -588284 (base 9) in base 16?\nAnswer: -5660b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2428*n**2 - 1123*n**2 + 2550*n**2 to the form d*n + u*n**2 + y and give u.\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 5*p + 1. Let w = 0 + 4. Let b be t(w). Find the third derivative of -b*c**3 + 4*c**3 - c**3 + 2*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let a(o) = o. Let r(h) = 4*a(h) - 4*c(h). Let n(u) be the first derivative of -u**3\/3 + 1294. Calculate n(r(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 + 0 + 0 + -2. Let l(d) = d**2 - 7*d + 4. Let y be l(8). Suppose -i + y + q = 0. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:45 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (4 + sqrt(117))**2 + 4)*-6.\nAnswer: -816 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -13323144?\nAnswer: -13323251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9066 - 1609.\nAnswer: -1607.0934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*k + 27, 2*k + a - 13 = 4*a. Suppose -k = -o + 11. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (410*z**3 - 31 + 21 + 13)*(0*z - 2*z + 3*z).\nAnswer: 410*z**4 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 3*t + 5. Let k be j(-3). Put k, -3, 101, 3 in decreasing order.\nAnswer: 101, k, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + -4 - (-4 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 43*t**2 + 192*t - 1. Calculate i(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -207.95. What is the smallest value in 0.5, -1\/3, t, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -38, -29, -6, 37, 106, 207, 346?\n\"Answer: i**3 - 2*i**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -85. Let q = 56.6 - t. Let s = -1.06 - -0.06. Which is the closest to s? (a) 1 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-16) - 3)\/((-15)\/(-100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100 and -3024.663?\nAnswer: 302466.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400462619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jus. Give prob of picking 1 j and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4624935 by -660705.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1)**(3\/22)\/(m**(-2\/17)*m**(-2)\/m))**38 assuming m is positive.\nAnswer: m**(25061\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 51 = -3*l. Suppose 0 = -2*i + l - 4. Let r(g) = -g**3 + 10*g**2 + g - 1. Is r(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -139? (a) 146\/11 (b) -11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -524, -1\/3, 0.4 in decreasing order.\nAnswer: 0.4, -1\/3, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 6212640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19 - 52 + 26 - c + 18. Determine w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -4, -28 in decreasing order.\nAnswer: 5, 4, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, 5\/3, 0.009, 21\/5, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234) - -4*(sqrt(234) + sqrt(234)*-2)) + -2*sqrt(234)*6 + sqrt(234))\/((-1*sqrt(3456) - sqrt(3456))\/(sqrt(192)*2)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/11)*o*o**(2\/81)*o assuming o is positive.\nAnswer: o**(1480\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228499 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/146, -0.4, 2, 5, 1\/3, -34, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 31, 38?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 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: What is the value of -19 - -1 - 3 - (22 - -2 - (11 - -4))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17706*h = 17713*h - 28. Let c(x) be the first derivative of -3*x**2\/2 + 10*x - 11. Calculate c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28854622 from 544.\nAnswer: -28854078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 371, -31 in descending order.\nAnswer: 371, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 19, -5 in decreasing order.\nAnswer: 19, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4156*g + 0 - 5632*g as y*g + x and give y.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*w**2 + 29*h*w + 3*w**2 - 3*w wrt w.\nAnswer: 2*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 2*o - 2. Let u = 9 - 11. List the prime factors of m(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 67*x - 1291. Calculate the remainder when 203 is divided by w(22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 431*s + 18526. Determine y(-43).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13888 divided by 21060?\nAnswer: 3472\/5265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.14, 0.2.\nAnswer: -0.7, 0.14, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191 - 161. Let a be (-19)\/1 - (1 + 0). Let c = p + a. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 794 (b) 1\/4 (c) 5 (d) 1.4 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -1799905 in increasing order.\nAnswer: -1799905, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/12 + 10\/3. Let a = n + 0. Solve -a*v = 0, -4*u - 2*v = -5*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 41470*g. Let r(d) = d**2. What is r(y(z))?\nAnswer: 1719760900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 10*q + 1. Let w be r(10). Let t(s) = 3*s - 1. Give t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6664 to one decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f**4)*(2 - 2 + f) - 20436*f**5 - 86933*f**5 + 6847*f**5 - 992*f**5 - 13850*f**5.\nAnswer: -115365*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -97*o + 195*o - 97*o. Let f(x) = 4*x. Determine u(f(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, x: 11}. Give prob of sequence xjxx.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/60 + 253*m**2. Let h(i) = 69*i. Let u(v) = 275*v. Let t(y) = 11*h(y) - 3*u(y). Determine t(f(z)).\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1279*b + 371*b + 3834 + 15966 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4335 - 4337 + 82*c + 182*c.\nAnswer: 264*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 5, -2, -9, -16?\n\"Answer: -7*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18079 divided by 3912?\nAnswer: -18079\/3912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1223133*s**3 + 11715*s**2 - 13*s wrt s?\nAnswer: -7338798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1231 or 2.9?\nAnswer: -1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1107 = -5*y, 7*t = -2*y + 5*t + 450. Find the second derivative of 50*m - 110*m**2 - 113*m**2 + y*m**2 + 61*m**4 wrt m.\nAnswer: 732*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g - 95. Give f(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3192 and -227\/3570.\nAnswer: 271320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Suppose 5*s = -3*j + 104, q*s - 4*j = 3*s + 30. What is the remainder when 41 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139261584 and 6396.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/7362 and -17\/54.\nAnswer: 22086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 - 2*s - 5. Let o = 6 - 10. Let m = o - -1. Let r be 1\/((-22)\/8 - m). Calculate x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 2*p - 117. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4088 and -29\/9198.\nAnswer: 36792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*d + 16. Let x = d + 12. Let y(l) = 3*l - 3. What is the units digit of y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - 17*t**2 - 2*t - 3. Let d(o) = -4*o**3 + 9*o**2 + o + 2. Calculate -5*d(a) - 3*n(a).\nAnswer: -a**3 + 6*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-45)*-3 - 33\/(-5). What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 178842, 179331, 179824, 180321?\n\"Answer: 2*z**2 + 483*z + 178357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-6))))\/((r\/((r\/r**4)\/r))\/r))\/(r*r*(r*r**(-1\/4))\/r*r*r)**(-31) assuming r is positive.\nAnswer: r**(477\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 30 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347129834?\nAnswer: 2, 7, 5563, 30137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 3*z**2)*(1 - 1 + z**2) - 6*z**4 - 3*z**3 + 3*z**3 - 49 - 3*z**3 + 34 - 8*z**4 + 9*z**4.\nAnswer: -2*z**4 - 3*z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.11, -5, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14045296*f**4 - 651*f + 9348 wrt f?\nAnswer: 168543552*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + 0 + (0 - -87) + (4460 - 4513).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 27 = -u + 2*p, 0 = -4*u + p + 127. What is the hundreds digit of (-327)\/(((-1)\/2)\/(16\/u))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 - 2*y - 5. Let w be r(4). Let h be (-10)\/(-35) + w\/7. Suppose -5*p = -4*d - p + 48, -5*d + h*p = -52. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1184360 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55797509*d**2 - 111673*d - 492 wrt d?\nAnswer: -111595018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49e + 17?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2760 + -2758. Let h = -122 - -121. Which is the closest to g? (a) h (b) 0 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by 4.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 1509*q + 7508. Calculate i(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 37834.654.\nAnswer: 189173.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/5 - 159791*o**3\/5 + 11340119*o**2\/5 + 159791*o\/5 - 2268024 = 0 for o.\nAnswer: -1, 1, 71, 159720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-20))\/(6\/40). Let h = 8 + p. Suppose 12 = 2*c - h*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19695811 a multiple of 1650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(325) + 0)**2.\nAnswer: 60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25358 and 4010654?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3611507*b**4 + 34428465*b**2?\nAnswer: -86676168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 1435.4?\nAnswer: -1443.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**2*y**2 - 56*n**2*y + 7*n*y**2 - 5*n*y wrt y?\nAnswer: 18*n**2 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - a + 5)*(5*a + 9*a + a)*((1 + 2 - 2)*(-2 - 38 - 4) + 5 + 4 - 3).\nAnswer: 570*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12793106 to the power of 1\/2, to the nearest integer?\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119224 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 + 76*l + 3*l**2 - 23*l - 31*l - 28*l. Calculate a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 1)\/8*(12 + 2). Let r be (-4)\/(-28)*4*f. Let z = 0.114 + -0.214. What is the second biggest value in z, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 111, 161?\n\"Answer: 50*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**4\/24 - t**3\/3 + 3*t**2 - 14*t. Let u(p) = -3. Calculate -3*a(k) + 2*u(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -393759140*g**2 + 100799864 wrt g.\nAnswer: -787518280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763506750 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12571614*w**3 + 24601303*w**3 - 12029691*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c - 6. Let d(v) be the second derivative of -v**3\/6 - 7*v - 6. Determine 4*d(i) - w(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 17*z + 24. Let y(r) = r**2 + 34*r + 168. Let j be y(-6). Give a(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1457*s**3 + 192 - 4*s**4 - 104*s + 129*s**2 - 317*s**2 + 0*s**4 + 1561*s**3 = 0.\nAnswer: -1, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8431*z - 8431*z + 40*z**3)*(1 - 1 - 5*z + (-3 + 0 + 5)*(-z + 0*z + 3*z)) to the form s + n*z**4 + x*z + b*z**3 + r*z**2 and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1339 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119629243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 + (-1282 - -1326) + 4 + -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p + 20. Suppose 3*j = u + p*u + 6, -2*u = 0. Solve o + j - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 4, d: 3}. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*a - 2*f - 33, -a = -f + 7. Let x be 1\/a - 220\/(-8). Suppose 14*u + 55 = 27 + 42. Calculate the highest common divisor of u and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 153 = 3*f - 4*c, 0 = -5*f - c - 253. Let y = 1583262\/149 + -10626. What is the common denominator of y and f?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1189085\/3341416 - 3\/32129. Let z = -223 - -229. What is the common denominator of d and (-1 - (-209)\/z) + 4\/(-12)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by -3039\nAnswer: 220\/3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 11. Calculate the lowest common multiple of i(13) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47884, -191545, -431000, -766261, -1197340?\nAnswer: -1724249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-150)\/(-12))*-20 - (-846)\/90?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1210)\/3025*100\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 41. Let k be m(-15). Let g = k + -22. Solve -g*l + i + 9 = 0, 3*l - 4 = 2*i - 4*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1914 + 2074. Suppose 3*q + 41 = 2*s - 23, 2*s - 64 = q. Calculate the greatest common divisor of r and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 2. Suppose -3*k + 278 = -232. Suppose 2*v - 7*v = -k. What is the remainder when v is divided by h(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1620 and 149\/21960.\nAnswer: 197640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 27. Find the third derivative of 0*j**2 - 4*j**l + 11*j**2 - 5*j**2 + 14*j**2 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 18. Let o be a(13). Let l be o\/(-7) - (1 - 909998). Round l to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.53 and 0.6.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*f**4 - 200*f**3 + 268*f**2 + 37350802*f wrt f.\nAnswer: 840*f**2 - 1200*f + 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:54 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 6. Let g be q(9). Let b be 4*1\/g + -1. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5736 + -58?\nAnswer: 5678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-33 + 74 + -26 + (-8 - 4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/609)\/(3\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a*a\/((a\/(a*a**10))\/a))**5 assuming a is positive.\nAnswer: a**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from uhhhnhhhnhtnhnnhh?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:19 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4827.0285 hours to weeks.\nAnswer: 28.7323125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286699.\nAnswer: 7, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 = 5*t + c, 0 = 4*t - 2*c - 14. Suppose -t*w + 7*w - 4*z - 16 = 0, -w + 8 = 4*z. Solve 0 = -4*o - k - 13, -3*o + w*k = 6 - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (0 - (-3)\/3 - -2). What is the second biggest value in -5, -4, -3\/8, f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Suppose 0 = -2*h - h - 15. Let o be y(h). Suppose -5*d + 18 - 3 = 0. Solve d = f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1142111 or -1142029?\nAnswer: -1142029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 747 (b) 3.6 (c) 5\/6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(288)*1 + 2*(-1 + sqrt(288))))**2.\nAnswer: 7776*sqrt(2) + 93636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-57*4\/(-18). Is o > 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niu when three letters picked without replacement from {u: 2, n: 3, i: 2, j: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1555 - 888. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*h*v**2 + 2*h*v - 37407*h - 10*v**2 + 1158016 with respect to h.\nAnswer: -186*v**2 + 2*v - 37407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s**2 + s + 2. Let d(h) = 172*h**3 + 774*h**2 + 387*h + 774. Determine -2*d(r) + 774*k(r).\nAnswer: 430*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:04 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 8:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2075055.71 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45309936*a**6 + a**4 + 30340840*a**2 + 2.\nAnswer: 5437192320*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 542*l**2\/3 + 1078*l + 1614.\nAnswer: 2*(l + 3)**2*(l + 807)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -851c (base 16) to base 5.\nAnswer: -2042301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*o - 1392 + 3564 = -3140 - 232 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14683 + 14683 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + m**2 - 32*m + 69. What is the remainder when y(6) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 7\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-54 - -46) + 33 - -5\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baaaaaaaaaba. Give prob of sequence aaba.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403159059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 89. Calculate the least common multiple of 238 and r.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 1:39 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 91858455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072.6 times 1.7?\nAnswer: 3523.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(475) + sqrt(475) + 0 + sqrt(475) + 4*(1 + sqrt(475)))**2 + 6*2*(sqrt(475)*1)**2.\nAnswer: 490*sqrt(19) + 29024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47139 is divided by 7850.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3 - -2) + (-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-5))**(-27)*(r\/(r\/r**(-4\/5)))\/r**(1\/29))**(-19) assuming r is positive.\nAnswer: r**(-295241\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2445 + 4845. Let p be (0 + s\/3)*47950\/7. What is p rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2129709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3684, -3677, -3668, -3657?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3372553.\nAnswer: 727, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 62. Suppose -4*q - 5*o = -s, -2*q + 0*o - 6 = 5*o. Let j be (91\/14 - q)\/((-1)\/4). Which is the nearest to 1\/6? (a) -3\/7 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -267, -233, -201, -171, -143, -117?\n\"Answer: -n**2 + 37*n - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -468 + 464. Is q\/(-8)*2726*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21747000 rounded to the nearest one hundred thousand?\nAnswer: 21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548 - 25*i**2 + 18*i**2 + 229 + 316.\nAnswer: -7*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10746*t + 12. Let k be o(1). Suppose -23*f = -29*f + k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*c**4\/11 - 2320*c**3\/11 + 27138*c**2\/11 - 13136*c\/11 + 1624\/11 = 0. What is c?\nAnswer: 1\/4, 14, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:15 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from oisou.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**2 + 2023*d + 2022*d - 3*d**3 - 4045*d.\nAnswer: -3*d**3 - 27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 241. Suppose 0 = 8*s + 2*s + g. Let d be (56\/s)\/((-4)\/20). What is the highest common factor of d and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19587 - -4642432898\nAnswer: 4642432898.19587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 42*o + 87*o - 30 - 37*o + 6 to u + b*o and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3501)\/(-51) + 13086\/37077.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 5*a**2 + 6*a**2 - 15*a**2 with respect to a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w**2 - 7*w - 4. Let p be -3 + 1 + 6 - 0. Let y(t) = t**2 + t + 1. Let m(q) = p*y(q) + g(q). Find the second derivative of m(k) wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779433 divided by -1.\nAnswer: 779433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 o when four letters picked without replacement from {a: 11, o: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0 + 2 - 2*h + 3*h. Suppose -2*s + 2 = -4*s. Give v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20891436 is divided by 4090?\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(2\/5)*j)\/(j*(j*j**3)\/j*j))\/(j**(-1\/2)*j**5*j))\/((j**0)**(2\/25)*j\/(j**(2\/19)*j)*j**2*j) assuming j is positive.\nAnswer: j**(-2051\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2736)*-6 - (-3 + 1 + sqrt(2736)) - -1*((sqrt(171) + 0)**2 + 4).\nAnswer: 177 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -100001?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12517 = -139*h - 5845 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30623.5299 - -30372.530406. Let z = 370 - 119. Let w = t + z. Round w to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(3 + sqrt(153))*3 - (sqrt(153)*-2 + 2 - (sqrt(153) + sqrt(153)*-1 + 0))))**2.\nAnswer: 5760*sqrt(17) + 42768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9706 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5165*b - 16054. Give r(3).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128881 or -128872?\nAnswer: -128872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 913356 + 115?\nAnswer: 913470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 63. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1408*g + 319*g**3 + 283*g**3 - 15*g**4 - 218*g**3 - 242 - 3*g**4 - 1916*g**2.\nAnswer: -2*(g - 11)**2*(3*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28744, 28747, 28750, 28753, 28756?\nAnswer: 28759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82927 + -580490\/7. Let k = 0 + 0.2. Which is the closest to k? (a) j (b) -0.3 (c) 0.8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e8d718 + -1?\nAnswer: -2e8d719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/((130\/(-80))\/(-13))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17239 = 70*r + 902*r - 11921 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 71 - 8. Solve 5*o - 4*n + p*n = -22, n + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4359 = 7*y - 5360. What is the greatest common factor of y and 880?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13948259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*g + 2*g = 272, 0 = u + 3*g + 156. Let j be (7 - 0\/2)*u\/(-56). Suppose -3*d = -3*k + 6*k - 33, -j = -2*d - 4*k. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4608308?\nAnswer: 2, 1152077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 3. Let s = 125\/4 - 31. Let u be 15\/(-325) - (-13)\/65. What is the nearest to s in -5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = 1. Suppose 0 = 2*x - 4*r + 2, r = -h*x + 5. Suppose -5*u - m + 7 = 0, m + 5 - 11 = -4*u. Calculate the remainder when x is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 440*x\/9 - 446\/3.\nAnswer: 2*(x - 3)*(x + 223)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16145667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 2*u**4 + u**4 + u**4 + u**4 + 0*u**4 + 5*u - u**4 - 5*u + (-7*u**3 - 5*u**4 + 7*u**3)*(-2 - 1 + 2).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Suppose 4*i + 2*n + 102 = 0, 17*i + 4*n = 12*i - 132. List the prime factors of (8\/p*1)\/(i\/2376).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2952, 10994, 24136, 42378?\n\"Answer: 2550*o**2 + 392*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.37 + -19.37. Let l = -25 + 16. What is the second smallest value in l, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395844080.\nAnswer: 2, 5, 277, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -5*z**4\/24 - 7*z**3\/6 - 13*z**2 + 37. Let r(y) be the second derivative of q(y). What is r(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b*b**(-6)\/b)\/b*b*b*b\/(b*b**2)*(b**(-3)\/b)**(3\/13) assuming b is positive.\nAnswer: b**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + 3*r)*((0*r + 2*r - 4*r)*(0*r - 2*r**2 + 0*r) + r**3 - 4*r**3 + 2*r**3).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = -10942 + 11464. Solve 30 - t = -4*j + 2*m, j + m + 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, and 1 v when three letters picked without replacement from {p: 1, e: 3, d: 2, l: 3, v: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*c**4 + 1753*c**3 + 839229*c**2 wrt c.\nAnswer: -2952*c + 10518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/18*((-6)\/(-20) + 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 4}. What is prob of sequence li?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 51 = 8*r - 5*r, i = -6*r - 18*r + 18*r + 12 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.126 - 0.074. Which is the third biggest value? (a) x (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 4*c - 74, 4 = -2*c. What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140654463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5 - 131*b**4 - 3667*b**3 + 40347*b**2 - 128520*b + 132300 = 0.\nAnswer: -70, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, w: 1, s: 5, o: 4}. What is prob of picking 2 e?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -1\/2 (c) 6 (d) -10\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*c*l*y**3 - 2*c*l*y + 8*c*l + 1946*c*y**2 - c - 8*l*y**3 - 4*l*y - 3324*y wrt y.\nAnswer: 60*c*l*y + 3892*c - 48*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrkk when four letters picked without replacement from {k: 10, r: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 - 4*x**3 + x**3)*(5 - 1 - 3) + (-2*x**2 - 2*x**2 + 3*x**2)*(-13 + 13 - 6*x) as y*x**3 + m*x + d*x**2 + n and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p + 1126. Give i(65).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**2 + 25*w + 17. Let a(n) = -4*n**2 - 6*n - 4. Let j(z) = -22*a(z) - 6*q(z). Let x be j(-8). Solve 4*s = 20, -x*f + 12 = s + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - 19*x - 8. Determine v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -2*r + 3*x - 50, 13 = r - 5*x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -0.4, 0.05, 5\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*k = -8, -3*q + 5*k - 10 = -5*q. Suppose -372 = -q*c - 6*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4480 and 81\/70868?\nAnswer: 11338880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 10. Let m(p) = 2*p + 9. Let w(q) = -4*m(q) - 3*s(q). What are the prime factors of w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 4*t)*(193*t**3 - 91*t**3 + 214*t**3 + 3 - 3) as v*t + s*t**2 + m*t**4 + d*t**3 + z and give m.\nAnswer: -1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, x: 1, c: 2, u: 1, d: 1}. What is prob of sequence da?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -44.5927.\nAnswer: -4.45927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*r + 4 = 4*g, 5*r + 45 = -5*g. Let f = -15.4 - -15. What is the third biggest value in -0.1, g, -15, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from cccdcccc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 116c0c (base 14) to base 12\nAnswer: 248450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-10) + (-2015009975)\/(-2750) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(2 + -6*sqrt(304)*-1*-2*5)**2)*2.\nAnswer: -8755234 + 7680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*x - 20732 - 7275 = -6491 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*d - 3*i, -3*i + 37 = 5*d - 5*i. Find the third derivative of -d*o**2 - 7*o**5 + 11*o**5 + 2*o**5 wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + 137. Let z = 396 - a. What is the greatest common divisor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/153 (b) 5 (c) -0.1 (d) -4\/7 (e) -1\/4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1363 + -1363. Let r be (2\/4)\/(2\/(-4)). Is 112 - -3 - (s - r)*-4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x - 170. Let z(r) = 27*r - 112. Determine -2*c(m) + 3*z(m).\nAnswer: 29*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 109020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 21*z**2 - z - 408. Let u be w(-20). Let f(t) = t**3 - 14*t**2 + 25*t - 25. Give f(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283438281481 plus 0.0095?\nAnswer: 1283438281481.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 + 0)) + -1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 1913, 3983, 6803, 10331, 14525, 19343, 24743?\nAnswer: 30683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5 - 155*q**4 + 1065*q**3 - 1525*q**2 - 2750*q = 0.\nAnswer: -1, 0, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.31 - 0.31. Let g = 26.8 - x. Let c = 1.8 - g. What is the closest to 2\/3 in 1\/5, -5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 9769853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1375914, -1376051, -1376188, -1376325?\n\"Answer: -137*j - 1375777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 21\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-750)\/315*1029\/735?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 52*d - 1399*d**3 + 1395*d**3 - 9 - 47*d to the form j*d**3 + n + p*d**2 + f*d and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.3 (c) -10\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (9 + -9 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 2*u + 7*u**2 + 4*u + 0*u + 27.\nAnswer: 7*u**2 + 2*u + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*q + 1 = 0, 5*l - 2596*q + 2601*q = -90 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*v - 11, 3*v + 19 = -3*s + 10. Let d(h) = -h - 1. Let m(z) = -37*z**3 + 5*z + 5. Give s*m(x) - 5*d(x).\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*t - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*p = -631*p. Let f be 2\/(-6) - (-1)\/(-2). Let x = 193\/18 + -21\/2. Which is the closest to p? (a) 0.4 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 17. Let o be 0*(z\/4 - 2). Suppose -2*l = f + 1, o*l + 10 = 5*l. Which is the second biggest value? (a) f (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 plus 141426?\nAnswer: 141724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 5 - (6 + (-90 - (-19 - -19)))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000633117394 rounded to 5 decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/13 and -51\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*k - 663 = -192*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448503439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, 3\/2, -2\/13, 2\/3 in descending order.\nAnswer: 62, 3\/2, 2\/3, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 193063820 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4023268499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:55 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 96*o**2 + 96*o**2)*(o + o + o)*(1 - 4 + 1).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 21*j**2 - 40*j - 48. Calculate v(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*q - 22, 5*k = 210*q - 216*q - 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45528844.\nAnswer: 2, 11382211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**3\/2 - 8*p**2 - 9*p. Let k be i(-7). Find the second derivative of -5*r - r - 7*r**k + r**5 - 2*r**5 wrt r.\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -1509 (c) 0.02 (d) -4.03 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - -0.4. Let p = -4937 + 4940. Let i = -51\/130 - 1\/130. What is the closest to p in k, 0.4, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 18\/7, -5, 582?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.25, -4, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1.3, 276479?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + (152310 - 0)\/10 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -9 + -11 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17017 by -143.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + 22*s**2 + 26*s - 78. Let z be d(8). Let r(f) be the first derivative of -f**3 + 0*f + 1 + 3\/2*f**z. Factor r(w).\nAnswer: -3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y + 35*y = 13*y - 1540 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*(v*((v*v**(-2\/9)*v)\/v)\/v*v*v)\/v))\/(v*v*v*v**(-2\/7)*v*v))**(5\/4)*(v*v**(-1)*v**(-1)\/v)**21 assuming v is positive.\nAnswer: v**(-12629\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 91*v**2 + 6*v - 2. Calculate the remainder when n(1) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11115810 and 225.\nAnswer: 55579050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + 14\/24. Let z be 2*-1 - 298\/6. Let r = 51 + z. What is the nearest to -1 in 2\/7, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2046 - 2041. Suppose 21 = 4*a + 5. Sort a, w, 2.\nAnswer: 2, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 less than -1026441577?\nAnswer: -1026441207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3506*q - x = 3505*q - 15, 5*q - 11*x + 81 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:04 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 + 8*q + 7. Let z = 3 - 0. Let n(d) = -z - 4*d**2 - 3 + 12*d**2 - 7*d. Give 7*n(l) + 6*r(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00177363499 to 7 dps.\nAnswer: 0.0017736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142735 is divided by 35012.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 3 (b) -30 (c) 12\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/2122688 and 79\/64.\nAnswer: 2122688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.4. Which is the third smallest value? (a) f (b) 0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*20\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 68*s - 1077. What is j(23)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 5\/3*w**4 + 13*w + 0 - 2*w**2 - 11\/4*w**5 + 0*w**3 + 1\/6*w**6. Suppose a(s) = 0. What is s?\nAnswer: 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 605, 599, 593?\n\"Answer: -6*y + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5811, -5799, -5797, -5811, -5847, -5911, -6009, -6147?\n\"Answer: -s**3 + s**2 + 16*s - 5827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*s - 9. What is the closest to -1\/2 in 2, 5, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 + 674 = 4*v. Let x be (1*-16)\/(-4) + v. What is the highest common divisor of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5523 divided by -17.\nAnswer: -5523\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -1031 in descending order.\nAnswer: -4, -7, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5632365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 49*k + 38. Give p(47).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 132 - (-12 - 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 3, c: 10, m: 2}. What is prob of picking 1 u and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*g + 315, 0*j + 2*j + g = 123. Let c = 85 - j. Suppose 2*y + 2*n = y + 25, -y = n - c. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 17*o**3 + o + 18*o**3 - o**4 - o + 2*o**2 to p*o + y + a*o**3 + f*o**4 + k*o**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 25. Suppose p*j = -0*j + 24. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/24 - g**3\/3 + 3*g**2. What is the units digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -41 + 25 + (0 + -1 - 3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y + 3. Let u(j) = 6855*j. What is u(o(m))?\nAnswer: 143955*m + 20565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47.037 + 47. Let u = -0.163 + o. Let i = -0.27 + -0.13. Which is the biggest value? (a) i (b) u (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5092240)\/96*4\/(-6) - 4\/(-18)?\nAnswer: 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.59 + 1.59. Which is the closest to f? (a) -0.1 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 1752*y**3 - 112698*y**2 + 114452*y = 0. What is y?\nAnswer: -806, -71, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 3*x - 1. Find the common denominator of -51\/11 and l(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/s**(-4\/21)*s)\/s*s)\/s**(-2))\/(s\/((s*s*s*s**(-15\/4))\/s)*s**7))**(-46) assuming s is positive.\nAnswer: s**(8809\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*b**2*r + 2*b*r*s - 30*b*s - r*s - 284*r + 11*s wrt b?\nAnswer: 116*b*r + 2*r*s - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/(l*l**23)*l*l\/(l**(-10)\/l)*l*l**(-13))**(-2\/61) assuming l is positive.\nAnswer: l**(66\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16884, -45271, -73658, -102045, -130432?\n\"Answer: -28387*g + 11503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(35)\/(-3*sqrt(5)*6 - sqrt(5)) + (sqrt(175)*-2 - (sqrt(63)*-1)\/sqrt(9))).\nAnswer: -875*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140032032 (base 5) in base 6?\nAnswer: -23041043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4507, 4, -5 in decreasing order.\nAnswer: 4507, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 437 = 2*h, -3*r + 1073 = -5*h + r. Suppose 27091 = 11*n + 25*n + 27127. Sort h, 0, n in ascending order.\nAnswer: h, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 158, 187, 204, 203, 178, 123, 32?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63701 by -3.\nAnswer: 63701\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -937 - -932. Sort l, 5, -3539.\nAnswer: -3539, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 10*p**2 - 15*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -322+-3370\nAnswer: -3692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136340170 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-100) + 18\/5. Find t such that -7 - 26*t + f*t**2 + 22*t - 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4792008.\nAnswer: 2, 3, 13, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 x when four letters picked without replacement from jxlluulljujuljjluu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2276*f - 1293750 = 2138*f. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.194 to 2 decimal places.\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16\/15 + 2\/5. Which is smaller: a or 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49.3 - -49. Let y = -3.15 - -0.15. Let s be 140\/(-18) - 16\/72. What is the fourth smallest value in y, w, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2, -1080 in decreasing order.\nAnswer: 2, -1, -2, -1080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 181. Let b be o(0). Suppose -z - z = -3*h + b, -60 = -h + z. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + (-1844 + 1811 - (1 + -90))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, n: 2}. What is prob of picking 4 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*c + 157*c - 2*o - 31 = 295*c, 4*o - 78 = -8*c - 2*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5255 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = 17*g + 185 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 - 6*z + 6. Let f be j(5). Suppose v + f = 5*t, 0 = -5*t - 4*v + 21 - 0. Let q = 0.04 + -0.04. What is the closest to 0 in t, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 211, 24.5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4006 + 4077. Solve -56*g + 30 = -w*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -22*s**2 + 27*s. Let x(q) = 10*q**2 - 13*q. Calculate 6*h(n) + 14*x(n).\nAnswer: 8*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39557 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 20.9. Let g = -10 - -6. Let f = -22.4 - -22. Which is the third biggest value? (a) f (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*v - 36, 25*v + 63 = -3*p + 32*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5\/2 - 183*b**4 - 6327*b**3\/2 - 10254*b**2 + 30738*b - 17136 = 0.\nAnswer: -102, -14, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -20 in decreasing order.\nAnswer: 4, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -50.6962\nAnswer: 253.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -4.68.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 4, 3.36, 2, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*x**2 + 5875984*x + 2350392 = 0. What is x?\nAnswer: -587598, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0336 and -0.08.\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11640 and 18.\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 0, 3 in ascending order.\nAnswer: 0, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121\/238 - -27\/34. Sort 0.4, n, 0, -167\/2 in decreasing order.\nAnswer: 0.4, n, 0, -167\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(13))*-6.\nAnswer: 72 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/28? (a) 0.08 (b) -6\/115 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(64) - -2*sqrt(64))*5)\/sqrt(2) + (sqrt(320) + (sqrt(320) - sqrt(320)*2*-3) + sqrt(320) + sqrt(320))\/sqrt(10))**2.\nAnswer: -60000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(13) + -1) - sqrt(65)\/(sqrt(60)\/sqrt(3)))**2.\nAnswer: -36*sqrt(13) + 1117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66203520 divided by -16\nAnswer: -4137720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-279))\/(6*4\/1944)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 257134.215 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58404 - -339037. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - 1. Let f = m + 3. Let k = f - -50. Solve 3*h - 5 - k = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 427 = 2*n, 2*h - 110 = -2*n + 174. Let a = -139 + h. Solve 10 = f + 3*y + a, 3*f = -2*y + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/9575271?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millimeter in micrometers?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/390*((-345)\/(-18))\/23?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.6 - -0.6. Let k = 11037.3 + -11088. Let g = k - l. What is the biggest value in -8, g, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, u: 2, a: 7}. What is prob of picking 2 a, 1 t, and 1 u?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) + (-33)\/12. Does l = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -11 + (1 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/180 + 19*s**3\/6 + 12*s**2. Let a(i) be the first derivative of u(i). Let y(z) = -22*z - 5*z**2 + 22*z. What is y(a(g))?\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 14) in base 4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155920*r**2*x**3 - 2*r*x**3 - r*x - 542*x**3 - 26*x wrt r.\nAnswer: -311840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -228. Let w = -111 + j. Let b(z) = -5 + 11*z - z**2 + 3*z - 9*z. Determine b(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651?\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 5*n**2 + n - 8. Let p(k) = -4*k**3 - 4*k**2 - 2*k + 9. Let m(g) = -3*d(g) - 2*p(g). Calculate m(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 7*f - 3*f**2 + 0*f**2 - 6 + 4*f**2. Let l be ((-2)\/2)\/((-4)\/(-40)). Let w be q(l). What is the nearest to 5 in -0.2, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 8*p - 12, 152*p = g + 157*p + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - (5 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2018 + 1021. Let a = d + 1000. What is the nearest to 2 in a, -1\/5, 1\/4, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 equal to -0.078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Let m = h - 2. What is the second biggest value in 1\/9, -3, m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58721885 and -0.1.\nAnswer: -5872188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 247. Let g be x(-45). Suppose 2*d = -4*s + 166, -2*s - 3*s = -5*d - 170. Let j = s - g. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1038083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5038 + 5088 = -3*d + 6*i - 44*i, -3*d = 19*i + 31 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 34*c + 7036. Give j(-103).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**3 - 6*r**2 - 25*r - 16. Let g be j(-4). Let b = g - 4397\/7. What is the closest to 0 in -7, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(3*(sqrt(140)*-2 + sqrt(140) + sqrt(140) + sqrt(140)) + sqrt(140)))\/((sqrt(70) + (sqrt(70) - 2*sqrt(70)*-6) + sqrt(70))\/sqrt(10)) + 1)**2.\nAnswer: -16*sqrt(5)\/3 + 329\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25770132053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2535\/120 + -21 + 1\/8*-25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(567) + 5 + sqrt(567) + 1 + -4 + (sqrt(567) - (sqrt(567) + sqrt(567)*1 + -2) - (sqrt(567) - (sqrt(567)*2 + -1 - sqrt(567)))))**2*-4.\nAnswer: -2304 - 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*k - 5*k + m, -50 = -5*k - 5*m. Suppose 6*o + 11 = k*o. What is the remainder when 17 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61544 or 61532?\nAnswer: 61544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, b: 2, k: 6, a: 2}. Give prob of sequence ggb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 27770 = 18*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 + -245. Let c be d + (-6)\/(-18)*15. Let s(p) be the third derivative of -p**4\/8 + p**3\/3 - p**2. Give s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134794754 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 4222 = 4156. Let b(l) be the second derivative of -2*l**4\/3 + 3*l**2\/2 + l. Let x(a) = 31*a**2 - 11. What is r*x(f) + 22*b(f)?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*j**2 - 2*j**2 + 8*j**2)*((-2*j - j + 2*j)*(1 - 1 - 1) - 8 + 9*j + 8 + 10*j + 33 - 33).\nAnswer: 500*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -8*o - 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eheehheeeeeeeheehee. Give prob of sequence eh.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**4\/7 + 20410588*q**3\/7 - 1859788358748*q**2 + 19527742048340*q\/7 - 6509243947684\/7 = 0. Calculate q.\nAnswer: 1\/2, 1, 1275661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = 2*j - 18, -4*y + 22 = -3*j. Let t = 179 - 123. What is the units digit of t - (-3)\/3*j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14956 + -14956.02. Is -2\/4275 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -30. Let l be 38 - t - (1 + 0). Suppose -3*x - 5*d = -11, 2*d = -5*x + 2*x + 8. Solve -r + 8 = -0*i + 3*i, -x*r + 3*i = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 29. Solve v*f - 5*p = 11, -2*f - f - 17 = 2*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6627\/2*y**4 - 8\/3 + 6439*y**3 - 17641\/6*y**2 - 548\/3*y = 0. What is y?\nAnswer: -4\/141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39135)\/(-10436))\/(3\/48*2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9302 + 83720\/9. What is the nearest to -1\/4 in -1\/7, -4, 3, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55106.\nAnswer: 2, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*v + 81, 3413*d - 3414*d + 9 = -v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 - 7*j - 6. Let y be c(-5). Let d be (-1)\/(-4) - (-5)\/(100\/155). Suppose -g = 4 - d. Solve y*p - g = 8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378 + -31. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84863 is divided by 909.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or -3615\/28?\nAnswer: -3615\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 81. Solve w*p - 15 = 9*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 700732 and 3674.\nAnswer: 7708052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + -1 - -2. Suppose -l*x + 10 = -20. What is the lowest common multiple of x and 204\/15 + 4\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-110))\/(1\/(-180) + 0) + -6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1814\/2721)\/(((-5)\/(-93))\/5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -30 + 41 + 86\/(-8). Let n(y) be the second derivative of -l*y**2 - 3*y + 7\/48*y**4 + 0 + 5\/24*y**3. Factor n(f).\nAnswer: (f + 1)*(7*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.132 - -8.192. Let s = 10.1 - b. Let m = s - 0.04. What is the biggest value in 0.3, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 plus -77161?\nAnswer: -77121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40403 (base 10) to base 6\nAnswer: 511015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 142 = 2*o, -514*s + 516*s - 202 = -3*o. What is the remainder when 280 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/((-185)\/(-74)))\/(6\/660)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k**2 - 16*k - 6. Let s(z) = -5*z**2 - 5*z - 2. Let d(x) = 3*x**2 - 6*x + 1. Suppose -r = -8 + 5. Let q be d(r). Determine q*s(j) - 3*u(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -48, -179, -428, -831, -1424?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2364*n**2 - 1 + 1 + 260*n**2.\nAnswer: -2104*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:11 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12864 - -12984. Suppose 2*t + 366 = -t. Let a = j + t. Put a, 2, -1\/5 in decreasing order.\nAnswer: 2, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3700006 and -0.05.\nAnswer: 3700005.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -30c6 (base 13) in base 8?\nAnswer: -15141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:41 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*f, 306 = -j + 3*f - 126. Let l = 76 - j. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/(20\/((-1540)\/(-33)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7765 times 0.02\nAnswer: -155.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 3. Let m(a) = -4*a**2 + a - 6. Let l(z) = -4*m(z) + 9*y(z). Let p be 2\/(-1 - (-1 + 1)). Let h be l(p). Sort -4, h, -2 in ascending order.\nAnswer: -4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + 7*i - 4. Let o be ((-3)\/(-2))\/((-1)\/(-4)). Let q be l(o). What is the third derivative of -q - x**2 + 2 - x**5 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2000 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*n + 21, 0 = 4*n + 4*t - 3*t - 19. Let u = -71417 + 71422. Solve n*h = u*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18455000\/(-8))\/((-2)\/(-16)). What is d rounded to the nearest 100000?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 12032*b**5 + 210 + 985*b - 6*b**4 - 12057*b**5 + 1430*b**2 + 851*b**3 - 131*b**3 + 46*b**4 = 0.\nAnswer: -3, -1, -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 14. Let o(p) = -5. Let w(a) = 1. Let d(s) = 2*o(s) + 11*w(s). Let g(h) = 4*d(h) + v(h). What is the units digit of g(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x**4 - 36*x**2 + 36*x**2)*(-1 + 1 - 3)*(5 - 5 - 3) to the form t*x**2 + q*x + j*x**4 + g + w*x**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 15 = -5*i, -2*h + 30 = -3*i - 2*i. Let f be 212\/5 + 3 - 2\/h. What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + -1.1. What is the fourth smallest value in 0.1, 4\/3, -2, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + -252. Let c = j + 342.9. Is c at least -1\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 6*o - 6. Let l(m) = 4*m**2 - 5*m - 5. Let f(r) = -5*k(r) + 6*l(r). Let a(n) = -8*n + 30*n - 9*n - 14*n. Calculate f(a(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114\/7 + 118\/7. Sort g, -0.3, 0.2 in decreasing order.\nAnswer: g, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)*v**(-8)*v\/(v\/(v\/v**5))*v**8 assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46 - 15.\nAnswer: -14.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u - 4*i - 23, -4*u - i = 25. Let v = u - -9. Let n(r) = -r**2 + 5*r + 3. Calculate n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 88?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**3*k**(-4))**(-19)\/(k**(-2)*k\/(k*k**(-2)))**(-1\/30) assuming k is positive.\nAnswer: k**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xevo when four letters picked without replacement from {i: 1, x: 1, o: 2, v: 8, e: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(2\/7)\/(((d*d**(-1\/4))\/d)\/d)**49 assuming d is positive.\nAnswer: d**(245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 71 = 197. Which is the second smallest value? (a) v (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -10. Suppose -6*a = -3*a. Suppose a = -5*d - h + 10, 0 = -d - d - 3*h - k. Solve n - d*n = 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*k = k - 12, -2*k + 15 = 5*j. Is j at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4 - 7 + 1 - 9*c - 3. Let k(p) = 4*p + 2. What is -5*k(y) - 2*l(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -150856 divided by 6\nAnswer: -75428\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*r - 234, -2812*r = -2698*r + 2*c - 6964 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3*p*p**(-2\/5)\/p)\/(p\/(p*p\/(p**(-1\/6)*p*p))*p*p*p*p\/p**(-1\/4)))\/((p\/(p\/(p*p**(-5)*p*p))*p**(1\/3))\/(p*p**(2\/3)*p*p*p)**(-35)) assuming p is positive.\nAnswer: p**(-3283\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*b - 2*l, l + 3 = -3*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/2 - 2*d**2 - d. Let x(h) = 10 + 5 - 4*h - 13*h + 7*h - 2. Give -7*m(n) - 2*x(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36365, -145600, -327667, -582572, -910321?\n\"Answer: -n**3 - 36410*n**2 + 2*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -279 - 168511a?\nAnswer: -1685398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0 + 2*j - 7 + 15*j**2 + 6. Let y be p(-3). Suppose y - 33 = u. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 - 11100?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2087533 minutes?\nAnswer: 12525198000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300.1390555 + 0.1379765. Let l = j - -300. Round l to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhlr. Give prob of sequence ol.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 = 5*a, -4*u - 20 = a - 6*a. Suppose 5*n + 2*n - 14 = u. Suppose -4\/3*c + 8\/3*c**4 + 2\/3 - n*c**2 + 8\/3*c**3 = 0. Calculate c.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 5. Let l = 2742 + -2737. Calculate q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -60*x**5 - 2*x**2 + 1330*x + 2. Let a(w) = 2*w**5 + w**2 + w - 1. Let f(d) = 2*a(d) + b(d). Find the second derivative of f(z) wrt z.\nAnswer: -1120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406054582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7611 divided by -169.\nAnswer: 7611\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 57 = 4*j, -5*j + 65 = -0*j + 5*d. What is the least common multiple of 30 and j?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356 times 3\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251*x + 251*x - 47*x**4)*(-x - 406 + 218 + 199).\nAnswer: 47*x**5 - 517*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1da3?\nAnswer: 1d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072*d = -1058*d + 10262. Is -733 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -2) + -1 + 23838994. Let f(a) = -1660169*a - 4. Let j be f(-6). Suppose 2*g - j - b = 0. Round g to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1364.8895 - 1364.8. Sort r, 3, 5, 2.\nAnswer: r, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - j = -4, -b + 12 = b - 2*j. Suppose -5*u + u + 14 = -n, -16 = 2*n - b*u. Suppose z = -2*y + 191, n*y + 3*z = -z + 194. List the prime factors of y.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/231 + ((-120)\/14 - -9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 575. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.3 - 0.7. Let g = 0.05 + -0.15. What is the closest to -1 in z, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 579122.4 nanometers?\nAnswer: 0.05791224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 385292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvvvvltvttvlvvttvt. What is prob of picking 1 v, 1 t, and 2 l?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 116830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = 2*j - 39, -119 = -5*j + 3*h. Let d be 3 - (6\/3 + j). Which is smaller: -22 or d?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*h + 2*p, 4*h + 3*p + 50 - 164 = 0. Put -0.04, h, 0.3, -3 in increasing order.\nAnswer: -3, -0.04, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/300*(2\/7)\/(1660\/(-581))?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133.044014634 - 34.95598607. Let j = s - -168. What is j rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 93.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211*d**2 - 102*d**2 + 543*d**2 + 277*d**2 to the form j*d**2 + t*d + u and give j.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let m(t) = 353553*t. What is m(z(p))?\nAnswer: 353553*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221 and 2835039?\nAnswer: 36855507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20468303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*9\/(225\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30198380 to the nearest ten thousand.\nAnswer: -30200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(98*c - 140*c + 421*c).\nAnswer: 758*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 32\/(-32) + (-54)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0009 + -0.001123. Round t to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-50)\/30)\/(1\/3). Suppose j = l + 6, -4 = l + 3*j + 10. Let i = q - l. Solve 0 = 2*r + 3*r - 2*g + 18, -19 = 4*r + i*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmm when three letters picked without replacement from mmmmmmmmmmmmxmmxmm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682646 divided by -341323?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-22 + 0\/(-2)). Let q be 95\/(-2)*25\/750*-12. Solve -q*j + 3 = -s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106578943355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/5878 - -117581\/123438. Are c and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 456499343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 159. Let d(a) = -a**3 - 12*a**2 - 8*a - 9. Let t be d(-11). Let b = t - n. What is the remainder when b is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -877 (b) -1\/16 (c) 0.4 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 5. Calculate the highest common factor of i and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2241*u**3 - 16*u**2 - 16*u + 24. Let x(l) = 2240*l**3 - 18*l**2 - 18*l + 27. What is -9*f(v) + 8*x(v)?\nAnswer: -2249*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 48. Let b(y) be the third derivative of j*y**2 + 0*y - 1\/6*y**3 + 0 + 0*y**4 - 1\/20*y**5. Find the first derivative of b(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpzzzzzzeqzkzzv. Give prob of picking 1 v, 1 k, 1 z, and 1 p.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 128360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1003, -1002, -1001, -1000?\n\"Answer: o - 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v + 52*v - 1060 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**4 - 3*y**3 - 52*y**2 - 4989 wrt y.\nAnswer: -8*y**3 - 9*y**2 - 104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-710)\/(-852)*(-9)\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 - 1. Suppose -6*h - 1226 = -1220. Let f(k) = -3*k**3 + 2*k**2 - 2*k - 3. Let w(j) = h*f(j) + 2*z(j). Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -8*g**8\/7 + g**4\/3 + 5*g**3\/3 - 3*g**2 - 14. What is the second derivative of q(y) wrt y?\nAnswer: -7680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -287? (a) -3\/4 (b) 1\/14 (c) 0.3 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*j = -29, 4*a - 5*j = -6*j + 78. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22912 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303009 (base 14) to base 15.\nAnswer: -220793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -6, 60 in increasing order.\nAnswer: -175, -6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b*b\/(b*b**(2\/9))*b**(-3\/8)\/((b*b\/(b*b\/(b**10\/b)*b*b)*b*b)\/b*b))**31 assuming b is positive.\nAnswer: b**(-28117\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272*70.\nAnswer: 19040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 13*h. Let t(c) = -55914*c. Determine t(l(q)).\nAnswer: -726882*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 60 = -27*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6 - -c66a1?\nAnswer: c6797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.326460792 rounded to 5 decimal places?\nAnswer: -0.32646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -192295.59177 rounded to the nearest 10?\nAnswer: -192300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234 + 3612?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322523 or -55?\nAnswer: 322523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m + 3*m + 12*m - 4*w + 23 = 0, -w - 3 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-48)*9*4. Suppose -r*i + 34 + 23 = 0. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -22. Let t = r - -19. Let n be ((-5)\/2)\/((-6)\/4). Which is the closest to 1? (a) n (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -92, 3, 0, -2 in decreasing order.\nAnswer: 3, 0, -2, -6, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7106*z - 6904*z - 8080 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.3, 1001.5, -352, -5 in ascending order.\nAnswer: -352, -5, 1\/6, 0.3, 1001.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1822, 1\/5, 6885 in descending order.\nAnswer: 6885, 1822, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126.99999864 + 127. Round d to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9155322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 922896 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -6*q + 4110. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-40))\/((((-10521)\/5264 - 8) + 10)*6)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550 and 234218950.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 22, 19 in increasing order.\nAnswer: -3, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -15. What is the remainder when (3 - -11) + -1*1 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -323?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Let v(c) = 2*c - 22. Let q be v(15). Suppose 5*s - j = 10, -3*s + q*j + 6 = 3*j. Solve -s - 1 = h*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0738548 to 3 decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, -1414, 7 in descending order.\nAnswer: 25, 7, 1, -1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (2 - -6) + -2. Is (-580)\/(-16) + 6\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -789, 36, 3, 47, 10 in decreasing order.\nAnswer: 47, 36, 10, 3, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6723 - -6723.1. What is the third biggest value in -0.03, 0.3, q, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69718495*s**4 - 110844836*s?\nAnswer: -836621940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-476)\/112)\/((-2)\/8). Solve 7*j - 3 + h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1200.22 to the nearest ten.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/260019 and -9\/8811755?\nAnswer: 79305795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i**27*i**(-11\/5)\/i*i\/((i\/(i**(-35)\/i)*i)\/i))**(2\/5) assuming i is positive.\nAnswer: i**(-152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 15, 3*o = -3*x. Let v(c) = 2*c**2 + 3. Let u(j) = -3*j**2 - 4. Let k(l) = -3*u(l) - 4*v(l). Let f(g) = 2*g**3 + 5*g**2. What is o*k(p) + f(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -0.3. Let v be ((-3 - (-9)\/3)\/(-2))\/(-3). Let z = -4 - -1. Which is the closest to 0? (a) z (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1406*k = 2*n + 1428*k + 326, 2*n = 4*n + 2*k + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukqnqqqqunqnkuqqqqu. What is prob of picking 2 k and 2 u?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -400630 (base 7) to base 12\nAnswer: -33107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -511 (c) -5 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/12)\/(2\/(-21)). Let v be 2\/(-4) - a\/8. Suppose 92 = 4*z + 5*x, 4*z - v*x = 49 + 11. Solve -z = 4*b - 2*p, 0*b = b - 3*p + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 + -0.05. Which is smaller: r or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -0.7 (c) 3 (d) 165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4256?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose j*r = z + 2*r - 121, 2*z = -r + 227. Let h = z + -78. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*i + 4*y, 12*i - 14 = 9*i + 4*y. Is 11 a factor of (i\/(-9) + 0)\/((-13)\/3120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*p - 60*p - 211500. What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 29, 58, 109, 188, 301, 454, 653?\n\"Answer: s**3 + 2*s**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1574 - 1397. Calculate the remainder when n is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 + 70*b**2 - 65*b = 0. What is b?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*-6)\/(sqrt(5) + (4*sqrt(80) - sqrt(5))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, -1 in descending order.\nAnswer: 21, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 19 + 64 + -71?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1387, -1382, -1373, -1360, -1343?\n\"Answer: 2*g**2 - g - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/216*0\/1. Let u(o) be the first derivative of 2*o**6 + 0*o**5 - 1\/2*o**2 + 0*o**4 + 2 + g*o**3 + 0*o. What is the second derivative of u(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 160 in decreasing order.\nAnswer: 160, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 117\/351 + 1937\/3. Let c = q + -636. Solve 14*p + c = 9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 624, 630, 636?\n\"Answer: 6*o + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182892907?\nAnswer: 3, 13, 55971613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 4*m - 2. Let o = -156 + 162. Calculate the remainder when (-4)\/(-6) + 440\/o is divided by u(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 199*b**2 - 1592*b + 11. What is q(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1\/b))**(-3\/10)*b**(-2\/17)*b\/b**7)\/(b**(1\/3)*b**(-1)*(b**(-5)*b)\/(b*b**(-2\/19)*b)) assuming b is positive.\nAnswer: b**(1393\/9690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 2*j + 1. Let i be z(-4). Suppose 13*r + 22 = -i*r. What is the nearest to r in 2\/3, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 10. What is the remainder when y(0) is divided by (40\/(-35))\/8 + (-1290)\/(-210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -27*w**6\/40 - w**4\/8 + 127*w**3\/6 + 2*w**2 + 104*w. What is the first derivative of x(g) wrt g?\nAnswer: -243*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/8371 + -2728904\/58597. Let x = t + 332\/7. Which is the closest to -2\/7? (a) 2\/5 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 12*d + 9*d + 6 - 32*d + 0*d**2 + 13*d. Calculate w(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.621, -0.1, -83, -1.01 in descending order.\nAnswer: 0.621, -0.1, -1.01, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from rmrmmmrrrmmrmr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 0.1, 92\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 11371752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9742862ml to litres.\nAnswer: 0.0009742862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n + 21*n - 16*n - 546 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66697 - -606534. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let g(f) be the third derivative of f**7\/360 - f**5\/12 - 4*f**2. Let a(l) be the third derivative of g(l). Give a(u(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 309*l - 180*l + 613*l + 142*l in the form q*l + a and give q.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p + 15, -4*q = -p - 103. Suppose q*l = 22*l. Suppose -c + 4*c - 1740 = l. What is c rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 44*b + 132. What is d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734*o**2 - 2*o**3 + 734*o**2 + 2*o**4 + 3*o to u*o**3 + i*o**4 + p*o + w*o**2 + g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15)*75\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5 + 840*a**4 - 46628*a**3 + 169080*a**2 + 216550*a = 0?\nAnswer: -1, 0, 5, 61, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 452 (base 6) to base 2\nAnswer: 10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/(-16)*((-25)\/(-45))\/(85\/102)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -7, 1, 0, -4 in descending order.\nAnswer: 1, 0, -4, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1107 (base 11) to base 14\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 - 5)*(-2*b + 3*b + 0*b)*(2*b**2 + 5*b**2 + 29*b**2) + (-b + b + b**3)*(-20 + 28 + 10) as u*b**3 + q*b + f*b**2 + i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -5*(sqrt(2) + -1).\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, q: 3, z: 1}. Give prob of picking 2 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16872.5766 rounded to zero dps?\nAnswer: -16873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92754475 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -27. Let p = q - 15. Let k(x) = -x**3 - 3*x**2 + x + 3. Calculate the remainder when 43 is divided by k(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 21. Let m be x(5). Suppose 0 = -m*o + 15*o - 100. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 + 2 = 4*k, 5*k + 3 = -o. Suppose -41*t + 1178 = 686. What is the greatest common factor of t and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24*h**3 + 3*h**2 - 4*h + 2. Determine w(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - (-35)\/(-14). Let p = 7 + z. Let a = 4 - 9. Put -3, a, p in increasing order.\nAnswer: a, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2527369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -60, 5, 38, -2 in descending order.\nAnswer: 38, 5, -2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v. Suppose -2 = -3*c + k - 3*k, 10 = 3*c + 4*k. Let t be w(c). Let o(f) = 11 - 28 + 17 + 2*f**2 + f**3. What is o(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t*t\/(t**(3\/8)\/t)*(t**(1\/3))**26 assuming t is positive.\nAnswer: t**(295\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*t = -12, 3*t + 20 = 2*y - t. Find the third derivative of -c**2 + 5*c**4 - c**y + 5*c**2 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213956582 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5166*r*t**3 - r - 6*t**3 + 1976*t**2 wrt r?\nAnswer: 5166*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55068 and -0.1.\nAnswer: 5506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18253, -18251, -18247, -18241, -18233, -18223, -18211?\nAnswer: -18197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2989 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 23765.9 to the nearest 100.\nAnswer: 23800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 + 6*o - 6. Let n(y) = -y**2 + y - 1. Let a(k) = -4*i(k) + 24*n(k). Let x(j) = j**2. Give a(x(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73.969 - -74. Let p be (-13)\/52*(3 + (1 - (-16)\/(-3))). Sort 2\/5, p, z, -5.\nAnswer: -5, z, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*a + 6, 1 + 5 = a + 2*i. Which is smaller: 12\/179 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 143*q - 3. Let l(n) = 4640*n + 1. Give l(z(i)).\nAnswer: 9280*i**2 - 663520*i - 13919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38005, 37991, 37967, 37933, 37889?\n\"Answer: -5*g**2 + g + 38009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653055 (base 8) in base 16?\nAnswer: b562d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -228.37\nAnswer: -5480.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 731 - 776. What is the remainder when 443 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 + 26*s - 49. Let q(i) = -2*i**3 - 9*i + 17. Give 17*q(f) + 6*y(f).\nAnswer: 2*f**3 + 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 1. Let f be i(-1). Solve 2 = -k - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25013455 (base 6) to base 12.\nAnswer: 32428b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -51911221?\nAnswer: 51911227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -132*j**2 + 75*j - 3. Let u(i) = -134*i**2 + 74*i - 2. Let k(g) = 2*m(g) - 3*u(g). What is the second derivative of k(y) wrt y?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*h + 3*h. Is h greater than 16\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 - 2*y + 4. Let a(v) = 5*v**2 + 2*v - 3. What is 3*a(i) + 2*w(i)?\nAnswer: 5*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 3.4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(300) - (sqrt(7) - sqrt(49)\/sqrt(7) - sqrt(7))*1) + (4*sqrt(567)*1 - sqrt(567))*-2)*4.\nAnswer: -1058*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -45*g - 73. Let d(v) = -67*v - 109. Let m(b) = -5*d(b) + 8*y(b). Is m(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7642666 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163777 is divided by 32748.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1)*k*k))\/(k\/(k*k**(-1))))\/(k**(-4)\/k**4) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1645648?\nAnswer: -1\/411412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31898716 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55034.773 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 6 + -6 + -121 + 32.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 2. Let w be y(7). Let a(t) = 4*t + 6*t**2 - 4*t - 4*t**w. Let b(r) = 5*r**2 - 2*r**2 - r**2. Give a(b(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2993 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315635, 637013, 958391, 1279769, 1601147?\nAnswer: 1922525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + 4*k + 0*k + 2*k as s + n*k and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 9, -2, -14, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-60)*-5)\/((-4)\/80)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)*w**(-9)*w*w*w*(w**(12\/11)*w)**27)**23 assuming w is positive.\nAnswer: w**(9476\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*d + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 + -26 - -46) + 59?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 18*j - 130*j as t + f*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 61*l**6\/120 - l**4\/8 + 11*l**3\/6 - 2*l**2 + 4*l. What is the second derivative of g(d) wrt d?\nAnswer: 366*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -609, -1465, -2663, -4203?\nAnswer: -6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41539, 5, -1 in descending order.\nAnswer: 5, -1, -4, -41539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:17 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 209791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, g: 6, w: 2}. Give prob of sequence gww.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (448\/192 - (-75)\/(-9)) + 6\/1. Put o, -2, 0.25, 4\/5, -0.08 in ascending order.\nAnswer: -2, -0.08, o, 0.25, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 79. Let b be k(-23). Let m = 88 - 85. Suppose -m = 3*r + 5*i, 7 = 4*r - i + 4*i. What is the greatest common divisor of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4077 + 3.\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.133 less than -0.298144?\nAnswer: -36.431144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23829 - 14799. Is o a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/27 and (-2)\/18*(-876)\/4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + 2 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(1 + 4\/(-2)). Let n = -1 - a. Suppose 51 = x + 5*d, -204 = -7*x + 3*x + n*d. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(99)*-2 - sqrt(99)))\/(sqrt(729) - (sqrt(729) + (sqrt(729) - sqrt(729)*2))))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 7168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*o + 165. Suppose 5*j + s = 6*s + 135, s + 105 = 4*j. Calculate the greatest common divisor of o and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 7911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01292, 0.4, -5\/101?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.045218 weeks to days.\nAnswer: 42.316526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d + 5. Let m(u) = 35*u + 9. Let p(n) = 11*k(n) - 6*m(n). Let h be p(2). What is the units digit of ((-4)\/(-6))\/((-10)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5572 + 5593.622. Round d to zero dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 3132 - 1956 = j. What is the greatest common divisor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7786705 + -24342.\nAnswer: 7762363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 18*v**2 + 4*v + 4. Let s(o) = -22*o**2 - 5*o - 5. Let q(c) = -5*b(c) - 4*s(c). Let z(p) = -463*p**2. Give q(z(x)).\nAnswer: -428738*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111220 + -10?\nAnswer: 2111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1582 - -1578. What is the closest to -2\/3 in -1, b, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1394 - -1382. Which is the fourth biggest value? (a) 4 (b) 7 (c) -2\/19 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 = -9. Let v = -11 + 11. Put v, y, 3 in descending order.\nAnswer: 3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 10986422.\nAnswer: 10986429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2451.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 0 + 0 + (-17 - 45 + 17)*(0*w - w - w) in the form q*w + m and give q.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12523031?\nAnswer: 557, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p + 209*p**2 + 4035*p**2.\nAnswer: 4244*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 12 + 26 - d)*(-15*d - 1 + 16*d - 1) to b + u*d + q*d**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -38, -31, -24, -17, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/(j\/j**(5\/2)))**(-1\/4)*(j**(8\/5)\/j**6)\/(j\/(j*j**(-1)*j))**(3\/4) assuming j is positive.\nAnswer: j**(-181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + -11144?\nAnswer: -11153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -194654*w. Let c(z) = -64*z**2 + 4. What is c(k(o))?\nAnswer: -2424971501824*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13186, 11707, 7684, -155, -13082, -32369, -59288, -95111?\nAnswer: -141110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 + 101. Let q = 102 + k. Let s = 407 - 245. What is the highest common factor of s and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 66*c + 0*c**3 - 62*c to the form q*c + h*c**2 + n + v*c**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/5 + 2*i**3\/5 + 3*i**2\/5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (161560\/(-12117))\/((-30)\/117)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3746*l**5\/5 - 2346*l**2 - 5847. Find the second derivative of q(h) wrt h.\nAnswer: -44952*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3115 and 28\/(-2)*(232 - 236)?\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1325007 and -85\/3091683?\nAnswer: 9275049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c - 4 = -69*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*h = 6 - 30, h = 2*t - 9. Suppose t*a - 27 = -0*a - 5*v, 4*v - 4 = 2*a. Solve a = -q - q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12 - ((-37 - -44) + -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 356.427 kilometers?\nAnswer: 356427000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 3. Let x be v(3). Let w be (6 - 2) + x + -1. Solve 4 = -w*l + 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3666 and 69498.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 - z**2 - z - 21. Give a(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -27 - 1 - (10 + -8). Let q = c - -44. Suppose s + 1 = 2*g, 0*g - 3*g - s = -q. Solve g = -3*u - h + 4*h, 3*u - 2 = 2*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102122100200220 + 0?\nAnswer: 102122100200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.5 - -0.5. Let l = -0.363 + 0.663. Which is the nearest to 2\/5? (a) u (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 10.6\nAnswer: 19.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46200*f**3*o**2 + 1243*f**2*o**2 - 21*f**2*o wrt f.\nAnswer: 277200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/(16\/(-200)). Suppose y*t = -i + 21, t + 4 = -i + 9. Solve -3*q - 4*p + 13 = 0, 3*q = 5*q + t*p - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o**2 - 3)*(-3*o + 2 - 2) - o - 3*o + 3*o**3 - 2*o**3 - 2*o**2 + (0 + 0 - o)*(-2*o**2 + 4 - 4) + 0*o - o**3 + 0*o.\nAnswer: 8*o**3 - 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1 + 2) - -7. Let g be 8 + 2\/k*2. What is the tens digit of (g\/(-6))\/((-9)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:44 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 6. Let m be w(4). Let r(h) = -5*h + 6. Let a(d) = d - 1. Let c(f) = 6*a(f) + r(f). Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/7, 2\/5, 5, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*-3*(-1)\/(-1)*-2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -2*o + 14, o - 5*t - 28 = 0. Let g = -18.44 - -18. Let h = 4.44 + g. Put o, -2, h in ascending order.\nAnswer: -2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45149 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 9. Let v be (-2)\/(-7) - 24\/(-14). Let j be ((-10)\/4)\/(1\/(4 - 6)). Let h(y) = 2*y + 4. Give j*h(t) + v*q(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1215 and 361?\nAnswer: 438615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (1 - -2) + (-1296)\/243)*0. Let w(a) be the second derivative of 0*a**2 + 0 - 7\/40*a**6 + n*a**3 - 13\/80*a**5 - 1\/24*a**4 - 2*a. Factor w(q).\nAnswer: -q**2*(3*q + 1)*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 10 + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 5, -38.2?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(245) - sqrt(245)*5))**2.\nAnswer: 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 264*c - 270*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)\/b)**(2\/47)\/(b\/(b*b**(-1\/2)\/b))**(-39)*((b**(-1\/7)\/b)\/(b*((b\/(b\/(b*b**(-12))))\/b)\/b))**(24\/7) assuming b is positive.\nAnswer: b**(440319\/4606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/14 - (-2)\/(-7). Let c be (2\/f*10)\/1. Suppose 4*r - 3*t = c, r - 6*r - t = -11. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209006*m - 207671*m = 180225 for m.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a**3*j**2 - 2*a**3 - 214*a**2*j**2 - 9*a**2 - 13*a + 5*j**2 - 10 with respect to j.\nAnswer: 10*a**3*j - 428*a**2*j + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h - 3. Let d(l) = -18*l**3 - l**2 + 1. Let p be d(-1). Suppose 0 = 4*m - 4*q + 2 + p, 2*q - 2 = 0. Does 12 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x + 8. Let r be b(5). Let s = r - -6. Let o(g) = -g - 1 - 5 - 1. What is o(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 8*z, -4*g - z - 7 = -8. Let j(s) = -s**3 + s**2 + s. Let o(p) = 2*p**3 + 6*p**2 + 6*p. Give g*o(l) + 6*j(l).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x + 1. Let r(d) = 77*d**2 + 2*d - 3. Give z(r(o)).\nAnswer: 539*o**2 + 14*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (30 - (0 + -2)) + 9 + -16\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from ddqdwwqwwwmwdwdqqw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + n)*(-2*n - 10*n + 10*n)*((3 + 1 - 1)*(6 - 4 - 4) + 2 + 3 - 3).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*c = 6*r + 1, r + 2*c = -1. Let n be 8*((3 - r) + -5). Let g = n - -12. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q - 71*q + q**3 + 46*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180648658 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*12\/20 + 2\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 41 + 19441*m**3 - 31*m**2 - 38867*m**3 + 5*m + 19429*m**3. Give x(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 7. Suppose -o = -11 - 50. Suppose -5*m = -o - 4. What is the remainder when m is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, j: 2, s: 1, q: 1, a: 2, r: 2}. What is prob of picking 1 q, 1 r, and 1 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974512563?\nAnswer: 3, 1741, 186581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 1. Let q be d(1). Let g(c) = 10*c + 4. Let w(m) = -7*m - 3. Let x(a) = 5*g(a) + 7*w(a). What is the least common multiple of x(q) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -663 + 681. Solve -2*x = -4*f - h, -x + 3 + 0 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 16 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Suppose -s - 3 = -v, -4*s + 18 = -2*s + 4*v. Let y be x(s). Solve y = 2*z - 5 + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 97 (c) -4 (d) 315\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 17*q**2 + 660*q - 3486. Determine k(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + ((sqrt(891) - (sqrt(891) + 0 + sqrt(891))*-5) + sqrt(891) - sqrt(891)) + (sqrt(891) - -1*(sqrt(891) + 1)) + (sqrt(891) + 0)*2 + -1)**2.\nAnswer: -540*sqrt(11) + 200476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**4 + 1810*s**3 + 5*s**2 + 24106*s.\nAnswer: -12*s**2 + 10860*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -3883*(-5 + 4)\/(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/180 and 53\/66132.\nAnswer: 330660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/5)\/(64\/(1622400\/(-585))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1561514?\nAnswer: 1561520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*i = 2, -2*b + 4*b = -3*i + 9. Suppose b*t + 17 - 32 = 0. Solve -j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 51.854 and -3.6.\nAnswer: 48.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 1\/6*q**3 + 3\/2*q**2 - 13*q + 2. Give v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 1\/11, 2, -3, -2\/175, -0.7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 659 - -531. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4519 = -b - 4510, 4*b = -4*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 3413 + -3410. Suppose 2*h + 16 = 3*i, 6*i - 5*h - 20 = i. Solve -2 = -u - r, x*u - i = -0*u - r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 94725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1439201, -1439621, -1440321, -1441301?\n\"Answer: -140*g**2 - 1439061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.822583 and 1341.\nAnswer: 1325.177417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -0*h. Suppose -z = h*z - 1084. Let i = z + -80. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/4 + 133\/(-49). Which is the third biggest value? (a) -5 (b) w (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 23*v + 210. Is v > 122\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:13 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 8*n + 9 + 23, 8 = -2*n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 18 + g**3 - 2*g**4 + 10 - g + 9 to x + l*g**2 + v*g + w*g**4 + f*g**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i - 2. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132 - -12. Suppose 15*l - 11*l - z = 0. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55772 = 321880*l - 321116*l for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -87fa + -11?\nAnswer: -880b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 6, s: 8, k: 2, i: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 1:26 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -54, -2\/129, 0.3, 1\/18 in decreasing order.\nAnswer: 7, 2, 0.3, 1\/18, -2\/129, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 3. Let h = 348.6 - 317. Let j = -32 + h. Which is the second smallest value? (a) 2\/19 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/(-8) + (80 - 78)\/(1\/2).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64637, 64609, 64559, 64475, 64345, 64157, 63899, 63559?\n\"Answer: -2*i**3 + i**2 - 17*i + 64655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156792 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 3. What is j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 19*g - 118. Let b be w(-5). Suppose 1\/4*q**3 + 5\/4*q**2 + b*q + 1 = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70295413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 2. What is the least common multiple of s and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d + 14. Let a be b(-6). Let w(v) be the first derivative of 2\/3*v**3 + 3 + 0*v + 3\/2*v**a. What is the second derivative of w(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16501, 16500, 16497, 16492, 16485, 16476, 16465?\nAnswer: 16452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 + 63.96. Let s = g - -0.04. What is the nearest to -1 in -2, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -3, -0.5, 4, -1, -13\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5 + 14 = 0. Let p be 3\/(-9) - ((-4528)\/f + 3). Suppose p = 2*b + 104. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/199 or 0?\nAnswer: -5\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1588 - 1354. Which is the closest to k? (a) 1\/5 (b) 0.1 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1717681ml to litres.\nAnswer: 0.0001717681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 - -3. Let o = -24 - -25. Sort -0.3, o, n in descending order.\nAnswer: o, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2*c**4\/3 + 3*c**2 + 10*c. Differentiate m(l) wrt l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + u**2 + 7*u**2)*(-4*u + 3*u + 3*u) + 3*u**3 + 0*u**3 - 5*u**3 in the form f*u**2 + b*u + q*u**3 + c and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**3 - 9*h**2 + 3*h - 16. Let d(w) = -3*w**3 + 4*w**2 - w + 7. Let t(g) = -5*d(g) - 2*i(g). Let q(p) = p**2 + p + 2. Give 3*q(m) + 2*t(m).\nAnswer: -2*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {n: 3, h: 1, s: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 437667139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfolzhl. What is prob of sequence fn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1008 (c) -4 (d) 4\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -4*sqrt(2736)*2 + sqrt(2736) + (sqrt(2736) - ((sqrt(2736) - (1 + sqrt(2736))) + sqrt(2736)))*-2 + -4)**2 + 5.\nAnswer: 1680*sqrt(19) + 268183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0107*6865.\nAnswer: 73.4555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*w = 127*w + 102*w + 137*w - 364*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -z, 3*x - 5*x + z - 2 = -6*x - 2*z + 68 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/5*(-60)\/816*-2.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.59979 minutes to seconds.\nAnswer: 155.9874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -24*l + 3078. Is s(-45) a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -4.5. Let t = -0.256 + 1.256. Sort 0.1, t, g, -5.\nAnswer: -5, 0.1, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 4*p)*(-1 - 1 + 0 + 4 - 3 + 0 + (0 - 4 + 3)*(-2 + 3 - 4) - 3 + 8 - 29).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104512 and 385664.\nAnswer: 27382144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -9 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 13602?\nAnswer: 1509822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 2144.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 530*t - 64296. What is j(188)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8692 (base 12) to base 5\nAnswer: -433143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131477491?\nAnswer: 131477491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -23. Is -18*(2 - 21\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1 + -4 + 4). Find the common denominator of -38\/9 and (74 + c)*(-10)\/40*-1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*c - 59 + 265*c + 58)*(-4 + 1 + 2)*(-3*c**2 + 2*c**2 - c**2).\nAnswer: -60*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c = 75*c + 3*v - 18, 0 = -2*c - 4*v + 22. Sort 147, 0, c.\nAnswer: 0, c, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (15 - 12) + -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -21*l + 5. What is the remainder when d(-4) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -81270 and -1381578\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360*p**5 - p**3 + 3*p + p - 16*p**2 + 950*p**5 + p - 9*p wrt p.\nAnswer: 78600*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000051017 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czckx. Give prob of picking 2 c and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5998 - 18244\/3. Let m = 226 + -142. Let y = j + m. Is y < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 31*k + 3 = 0, -2*z + 11*k - 17 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2)*(-30)\/(-33). Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + -15 + 8 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - 8 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 11*d**2 + 84*d - 349. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f*(f*((f**(-1\/4)\/f)\/f)\/f)\/f))\/f))**(-27))**(-19)\/((f**(-1))**(2\/5))**25 assuming f is positive.\nAnswer: f**(-4577\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -327221 - 1.73?\nAnswer: -327222.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27348132335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -94. Let d be 184 + w + -4 + -1 + 3. Suppose m - d = 14. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -6571\nAnswer: 26284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 6*o + 3 - 69 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*9*2\/84.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, 7, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -32*i**2 - 10. Let f(q) = -783*q**2. What is o(f(h))?\nAnswer: -19618848*h**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -12. Let r = 12 + u. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgoo. What is prob of sequence obo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -35. Let l(z) = 12 + z + 2*z - 2*z. What is l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -3*v. Solve 0*p - 2*p + 6 = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from hhhhhhhmhhhmzz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q**10\/q)))\/q)\/q**(-12))\/(q**(-2\/5))**(-14) assuming q is positive.\nAnswer: q**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 140, 282, 424, 566, 708, 850?\n\"Answer: 142*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*b + 380*b + 60 = 0. Suppose -3*f + 37 + 5 = 0. What is the least common multiple of f and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:55 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -33*q - 1\/2*q**2 - 3\/2*q**3 - 53\/15*q**6 + 0*q**4 - 1\/10*q**5 + 0. What is the second derivative of f(l) wrt l?\nAnswer: -1272*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 1*sqrt(128)*1 + 1*sqrt(128)*-4 + -4 + sqrt(128)*3 + 5 + 3 + -3.\nAnswer: 1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 greater than -426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*c = 3*c + 69, -k = 2*c - 21. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17401 + 156611\/9. Sort k, 5, -5, 80 in decreasing order.\nAnswer: 80, 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Let w = t + 1.2. Let y = -9 - -8.8. What is the biggest value in w, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2158464092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36564 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: Suppose -2 = -4*k + 6. Find the third derivative of 4*g**2 - g**k + g**6 + 2*g**6 - g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2484*h = 2487*h - 4*z + 40, -z + 5 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -319, 4477, -4, -5 in ascending order.\nAnswer: -319, -5, -4, 4477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01745 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -6443?\nAnswer: -19329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110111111000100101 + -1000?\nAnswer: -11110111111000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4550 - 269 = -2*y, 3*y = -4*u + 7254. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33 and 3227752?\nAnswer: 3227719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/19 (b) -115 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6478 and 88396?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 22*c**2 - 52*c + 30. Calculate j(24).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 2*d**2 + 4*d)*(-2*d**3 + 5*d**3 + 0*d**3) - 4*d**5 - 3*d**5 + 3*d**5 + 3*d**5 - 5*d**5 + 10*d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 2*l)*(-3*l**2 + 5*l**2 + 0*l**2) - 2*l**3 + 2*l**3 + l**3 + (2*l**2 + 0*l**2 - 4*l**2)*(2*l + 0*l - l) + 0*l**3 - 2*l**3 + 3*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -50, -66, -82?\n\"Answer: -16*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - -1*sqrt(209))*2 - sqrt(209))\/sqrt(11) + (sqrt(209)\/sqrt(44) - (sqrt(76) + sqrt(19) + -3)).\nAnswer: -13*sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d + 3*f - 13, 5*f = -2*d + 19. Let w be (1 + 1)*409\/d. Let i = w + 224. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1680 and -19\/350?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 2*b = 67 + 10, 4*b = 2*d + 22 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five eighths of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166166 is divided by 154.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(-5 + 0 + 2 + (sqrt(684) - -2*sqrt(684)) + 5*sqrt(684)*3)*-6)**2.\nAnswer: -7978500 + 23328*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288836 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2432*j - 6. Let w be i(1). Suppose w = -m + 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 4. Let y(j) = j**3 - 9*j**2 - 9*j. What are the prime factors of y(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 129 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*i = -25, 4*v + 4*i - 3*i = 5. Put 5, 4, v in ascending order.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 - 65 + 18*q)*(3 - 1 + 1)*(-2*q + q - q)*(-9*q - 4*q + 0*q) to u*q + a + f*q**3 + i*q**2 and give f.\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 - 3*q**2 + 206 - 2*q**2 - 103 as h*q + z + j*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibw when three letters picked without replacement from {i: 2, b: 5, u: 3, w: 7}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 4*w + 4 = 0, 4*w = 4*d + 16. Let c be 20872\/2984 + -3 + d. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348465437.\nAnswer: 41, 2207, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(468)\/(sqrt(9)*-2))\/(sqrt(144)\/sqrt(4)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2)\/(1 + (-5 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**4\/6 + 9*i. Let f(x) = 4*x**2. What is f(y(r))?\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 1, -141, -2.56.\nAnswer: -141, -44, -2.56, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 - 275. Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35543161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 23*r - 77. Let b be 2*(-2)\/(8\/(-6)). Solve 0 = -x - 4*u + 18, x - b*u = -7 - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37551*p**2*q**2 + p**2*q + 15*p**2 + p*q**2 + 2*p*q + 245*p + 9*q**2 + 193*q wrt q?\nAnswer: -75102*p**2 + 2*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + -2*sqrt(11))*6*-3.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -4\/9 (c) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o + 76. Let m be d(11). Suppose 0 = 12*h - 17 - m. Calculate the remainder when 62 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 82. Let d = k - 9. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*f - f + 80. Suppose f*p - 477 = 771. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692424389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 56 + 1 = 0. Let j(q) = -q**3 + 11*q**2 + q - 6. Let p be j(d). Suppose -5*u + 40 = -u - 2*b, -3*b - 48 = -p*u. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 - -422\/3. Let p = -0.3 + -0.2. Suppose -1157*s = -1151*s - 6. Which is the nearest to s? (a) j (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8370.102 minutes?\nAnswer: 139.5017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, -4 in increasing order.\nAnswer: -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*b - 5*d, -36 = 12*b - 15*b - 4*d. Solve 0 = 5*q - 9*q + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 665 and 17689?\nAnswer: 88445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2*k - 27 + k**2 + 0*k**3 + 7\/4*k**4. Let r(i) = 29*i**3 + 9*i - 9. Give 2*r(o) - 9*x(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 1425*r + 2870 = 0 for r.\nAnswer: -2, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i**4 - 2\/7*i**7 + 0*i - 2\/3*i**3 + 0*i**5 + 0*i**2 - 14 + 0*i**6. Find the third derivative of r(j) wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + t + 1. Suppose -p + 3*p = -2. Let h be n(p). Sort -4, h, 0.\nAnswer: -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56853 is divided by 844?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 8, n: 2}. Give prob of sequence nxbb.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 3*y**2 + 3*y**2 + (0 - y + 0)*(1 + 2*y**2 - 1) + y**3 - 2*y**3 - 2*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 2*d**2 + 91*d - 94*d + 24 - d**3 + 138 to the form a*d**2 + h*d + g*d**3 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 85816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003 + 1283 = 35*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.20607*9\nAnswer: -1.85463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11 = -5*l, -3*l - 5*n - 6 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 520.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141466755 rounded to five dps?\nAnswer: 0.01415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -4*q, -4*h + 3*q + 3 - 1 = 0. Calculate the remainder when 3 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - j - 1, a = -2*j. Let w(o) = -o**3 + 11*o**2 - 16*o - 15. Let s be w(9). Let i be 824\/1088 - (s - (-50)\/(-16)). Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001110 + -11011?\nAnswer: 1101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*10\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -33. Solve -3*x - 2*r - 11 = 0, -x + 5*x + s = 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7392 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -58*(3\/6)\/(-1). Suppose 5*s = 2*a + 2*a - d, 38 = 4*a - 2*s. What is the smallest common multiple of a and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11580 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -32\/13, -6.891, 9, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, w: 9}. What is prob of picking 2 d and 2 w?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -49, -81, -135, -217?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 0, 3, 4, 3825 in ascending order.\nAnswer: 0, 3, 4, 49, 3825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 - r**4\/8 + r**3\/3 - 4*r**2. What is the units digit of k(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((4\/(-20))\/((-12)\/30))\/(456\/(-16)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210993989507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**2 + 423*g + 834 = 0.\nAnswer: -139, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.42 and 59.88063.\nAnswer: 58.46063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2497*u - 7337 - 5743 = 4399 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1.039, -2\/13, -1 in decreasing order.\nAnswer: -2\/13, -2\/9, -1, -1.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, j: 1, y: 1, p: 2}. Give prob of sequence ff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - w**4 - 2*w**3 - w**2 + w**2 - w**4 + (1 - 1 - 2*w**2)*(0*w + w**2 + 0*w) - 76*w + 7*w**4 + 199*w + w**4.\nAnswer: 4*w**4 + 123*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 11*l**2 - 10*l + 27. Let v be d(5). Let k = -2 + 1. Let m = -11\/51 - 2\/17. Which is the closest to m? (a) v (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:24 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8217266*j**3 + 1063*j - 3481?\nAnswer: 49303596*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5243.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 5 + (-9 - -6) - (-2 - -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1)))**(-1\/44)*((i**(1\/4)\/i)\/i)**(-38\/5)*i\/(i**(-4)\/i)*(i*i*i**(2\/3)*i)\/i*i**6\/(i**3*i*i) assuming i is positive.\nAnswer: i**(15173\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -338917.\nAnswer: 5\/338917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g + 7. Suppose -10*p + 9*p - 18 = 0. Is a(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 5:57 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12495082670109 + 10.\nAnswer: 12495082670119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5695, 11347, 16955, 22525, 28063?\n\"Answer: c**3 - 28*c**2 + 5729*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -110100?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 38247271*x\/2 - 19123636.\nAnswer: (x - 38247272)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6210*i - 134 + 1756*i + 273 - 139)*(2*i**2 - 3*i**2 + 3*i**2) in the form o*i**2 + w*i + v + b*i**3 and give b.\nAnswer: 15932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - h + 4. Let b = 44 - 24. Suppose 0 = -2*o - 2*o - 5*w + 20, -5*w + b = 0. Let q be k(o). Solve -2*g = -7*f + 4*f + 7, -4*f = -4*g - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*w = -24 - 4, -2*y = 5*w + 31. Let u = -9 - y. Suppose a = -3*a + u. Put a, 0, 2 in increasing order.\nAnswer: 0, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12016)\/2253)\/(7*(-4)\/(-378)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/50)\/(2\/8). Are -1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p**2 - 2*p + 4. Let k be v(-3). Let h be -4 + k + (-34)\/(-10). What is the second biggest value in h, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 - 162. Suppose -h*l - 1208 = 904. What is l rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-3 + -3) - -3. Suppose -r = 3*h - h - 15, 0 = -h - 2*r + 15. Let n be (-36)\/(-24)*16\/6. Solve w = -h*p - n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y + 5*v, -2*y - 12 = 5*v. Solve y*j - 5*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - 48. Let u = g - -17. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:01 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*1)**2 + 3.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-261)\/54 - (-2)\/(-12). Suppose -3*p + 22 = -2*s, p + 5*s - 7 = -28. Let u = -106\/231 + 1\/33. Put p, o, u in ascending order.\nAnswer: o, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*r + 6*x, -5*r - 32*x + 21*x = -14*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1425274009 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 4. Let u be l(-3). Suppose 0*c = -u*c - 25. Is -6 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334 + 294 = -8*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -1\/21*p**3 + 0 + 3*p - 1\/7*p**2 - 1\/147*p**7 - 1\/105*p**6 + 1\/21*p**4 + 1\/35*p**5. Determine x so that k(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -7*b**4\/12 + 6*b**3 - 6*b**2 + 88. Let w(p) = 2*p - 5. What is 6*d(n) + 44*w(n)?\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/621)\/(10\/6*36\/(-24))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299506237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 36*z**4 + 7*z**3 - z**2 - 7*z + 41. Let n(x) = 18*x**4 + 3*x**3 - 3*x + 21. Let h(b) = 7*n(b) - 3*v(b). Find the third derivative of h(s) wrt s.\nAnswer: 432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*n - 564 = 0, 0*n - n + 423 = 3*w. Calculate the common denominator of (-2 - w\/30) + 1 and (-228)\/(-32) + (-1)\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiitzitttittiit. Give prob of sequence iitz.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 17 = g, -4*g + 7 = 3*m - 5*g. Suppose 0 = 2*y + 2*k + 94, -y + k = -m*y - 137. Calculate the common denominator of 39\/4 and 2\/4*y\/72.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1614058666 to the nearest integer?\nAnswer: 40175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let c(r) = r**2 + 4*r + 2. Let o(i) = 2*i + 59. Let b be o(-29). Let t(m) = -m. Let v(j) = b*c(j) + u*t(j). Determine v(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 4*u = 44, 2*y + u + 5 + 1 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 2*m + 4 = 0, -4*c = -3*m + 6. Solve 0*q - 4*q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**2 + 0 + 0 - 10*n**2 to the form t + b*n**2 + u*n and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/530 and 119\/95044158.\nAnswer: 475220790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 3 + sqrt(192)*1)**2 + (sqrt(192) + sqrt(192)*-1 + 1)**2 + ((sqrt(192) - (sqrt(192) - (-1 + sqrt(192)))*-4)*4)**2.\nAnswer: 1120*sqrt(3) + 4106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61*21\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.111 * 0.1633.\nAnswer: 0.3447263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 177*o**2 + 3268*o - 233. What is i(-21)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 812\/321 + -21\/107. Let b(g) be the first derivative of j*g**3 + 0*g + 0*g**2 - 6 + g**5 + 0*g**4. What is the third derivative of b(c) wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3343, 13442, 30247, 53740, 83903, 120718, 164167, 214232?\n\"Answer: -3*z**3 + 3371*z**2 + 7*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -32706421?\nAnswer: 5\/32706421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4261*c - 8. Let p be y(6). Suppose -2*f = 2*v - 6504, -9318 = 5*v + f - p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*m + 504*m + 1958*m - 74*m to the form z + f*m and give f.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 - 1 - 3 + 2 + (-3 + 4 + 1)*(0 - 2 + 3) + 3 - 4 - 1 - 3 + 0 + 1)*(-d - 2*d + 5*d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 9, 26, 41?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/954*-90)\/((((-4)\/2)\/2)\/(-19))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -97*x - 8594. Calculate k(-89).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 11 = f, 2*f + 12 = 3*t + 35. Let n = 12 - 8. Suppose f*j = 9*u - 4*u + 985, -n*j - 5*u = -935. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.50901 and 3?\nAnswer: -178.52703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 2*d - 1. Let i be r(-2). Suppose -i*g + 15 = 2*g. Find the second derivative of -4*y**2 - g*y - 3*y**2 + 3*y**2 wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from abaaaaqarqab.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 40?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/2709 and -11\/1986.\nAnswer: 1793358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9474 - -309)*(14\/(-8))\/(1\/(-4)).\nAnswer: 3, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i + 71*i - 19080 = 0. Does 106 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70a944 (base 11) to base 5\nAnswer: -243014204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -82461 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100264 is divided by 542.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + m**2 + 2*m - 3. Let a be (12 - 14) + 4*1. Let w be (-42)\/4 - (a + (-3)\/2). Let h(g) = 16*g**3 + 5*g**2 + 11*g - 16. What is w*i(p) + 2*h(p)?\nAnswer: -p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560 = 124*k - 269*k + 184*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*z + 9 + 70, -11*d - 5*z + 107 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4*k**2 - 4*k**2 + 2*k**2) + (-227 + 43 - 69)*(-2*k**2 - 2*k + 2*k).\nAnswer: 510*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s + 2*c + 3 = 0, 0 = -s - c - 3. Let g be (2 + 1 + s)\/1. Let x be -138 - -147 - (9*3)\/3. Solve 0 = -2*m - x*m - g*h - 8, -m + 12 = -3*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 17*d - 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492944?\nAnswer: 2, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 31 + 7*l**3 + 16 - 2*l**4 - 9*l**3 to the form b*l + r*l**2 + g + q*l**3 + v*l**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*j**3 + j + 45 with respect to j.\nAnswer: -297*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*f + 4*k, f = 4*f - 4*k + 22. Let w be (4\/10)\/((-1)\/f*4). Let n be 2*((-7)\/(-14))\/(w + -2). Which is smaller: n or 4\/31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 59. Calculate the remainder when 85 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:36 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i + 2 = 0, 5*i = 5*y - 50. Let b = -9 + y. Solve -5*g = -5*p, b = g + 2*g + 2*p - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 9) to base 12\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48206350789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9125 and 2342935?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23497 + -23495. Solve l = 4*g + 2*z, 0 = -4*z + z - 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7982510*c. Let w(v) = 2*v. Determine w(y(z)).\nAnswer: 15965020*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 29793112 at least 29793117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505.309 millimeters in micrometers?\nAnswer: 1505309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5568\/(-336))\/29*21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(5\/(1820\/152) - (-6)\/39). Solve 33*h = 29*h - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}