{"text":"Question: What is next in 300, 2259, 7454, 17457, 33840, 58175?\nAnswer: 92034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -38a?\nAnswer: 38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/4, 0, -0.08, 2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 12 = -0, -5*w = -3*x - 8. Suppose w*h - 29 = 3. What is the remainder when 9*16\/648 + 266\/18 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 412227 and 10116?\nAnswer: 1648908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001471 rounded to 5 decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {w: 2, q: 4, p: 4, r: 5, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 6*w + 3. Let n be 0*3\/(-6) + -7. Let t be f(n). Is (-6)\/t*(-32)\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3329864441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64585.\nAnswer: 5, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 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: Four letters picked without replacement from {m: 8, x: 5}. Give prob of picking 3 x and 1 m.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -144*u + 7922. Let m be l(55). Sort -1, -5, -3, m, -58.\nAnswer: -58, -5, -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-431)\/(-1724)*552\/(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 3 - 1) + 0 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*v - 8. Calculate the least common multiple of v and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.06 + 0.56. Which is the nearest to -1\/4?  (a) 3\/2  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/9, 1020, 14, -4, -68?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1477315992.\nAnswer: 2, 3, 157, 392069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 4 + -4 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4446 - 4412. Put 20, n, 0 in decreasing order.\nAnswer: n, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: 161 + -145 - ((7 - 19) + 4 - (-3 - 1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (27534*g**3 + g**2 + 38 - 2*g**4 - 27534*g**3)*(6 + 1 - 4) to the form y*g**2 + z*g**4 + k + r*g + w*g**3 and give k.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 603 and 32985373.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4858014 and 1081.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.62401 decades to months.\nAnswer: 4994.8812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 3:05 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73, -77, -83, -91, -101, -113?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, l: 4, q: 2}. What is prob of picking 2 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*m + 240 = -24*m. Suppose -31*d + m*d = -1. Let t be 16\/(-6) + (-2)\/6. Put d, t, -11 in descending order.\nAnswer: d, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 1:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 4*a**2 + a + 1. Let n be o(-4). Let v = -321233\/7 - -45965. Let r = 75 - v. Sort 5, n, r.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 160 + -158. Which is the closest to -2?  (a) u  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -58*o. What is the remainder when l(-1) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13070473185 + 13070473247.40996469. Let q = k - 62.41. Round q to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2526*c*v**5 + 36121*c*v**4 - 89*c*v**2 + 8700*c*v + 2*v**2 - 2*v - 2 wrt v?\nAnswer: 151560*c*v**2 + 866904*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kqqk when four letters picked without replacement from qqqnkkqk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 251, -1700, -3651?\n\"Answer: -1951*o + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - 3*s - s)*(2*s + 0*s - 3*s)*(-6 + 5 + 5)*(0*s + s - 2*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 7*a - 4. Suppose 13 = 4*q - 7. Suppose -q*f = -j - 0*j - 30, 2*f - 5 = -j. Determine k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17812*h - 76 = 17793*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 3*f + 11. Suppose -7*g + 8 = -5*g. Let p be v(g). Let t be -65*(0 + -2 + 18\/p). Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/4*48\/(-30). Suppose q - 301 = -4*z, 3*q + 5 + g = 0. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**3 - 3*a**2 - 3*a - 11. What is the tens digit of r(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 1. Let d(n) = -3*n - 4. Let w(m) = -m**2 - m + 1. Let v be w(1). Let i = v - -2. Let p(y) = i*d(y) + 4*c(y). Let h(b) = -b. Give p(h(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5\/8)*a*a)\/a*a**(-16)*(a**(-1\/24))**(2\/89) assuming a is positive.\nAnswer: a**(-33377\/2136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 2:34 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p + 5. Suppose 4*w = -4*k + 4, 7 = 2*k - 5*w + 2*w. Suppose -6*r = k + 28. What is j(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 915 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1028 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(14\/6 + -3). Let d(z) = 5*z**2 + 3*z + 2. Give d(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 208 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*q = 12. Suppose q = 3*p - p. Let l(y) = 2*y**2 - 8*y**2 + 3*y**p. Let x(n) = 2*n. What is l(x(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 4 + 0)*(4 - 7 + 1)*(2*u - u - 4*u).\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.23, 310, 3\/10, -2\/7, -6 in descending order.\nAnswer: 310, 3\/10, 0.23, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -21.3 + 15.3. Put 5, u, -1\/5, -5 in decreasing order.\nAnswer: 5, -1\/5, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2657?\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 32407091532.6 plus -1?\nAnswer: 32407091531.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 1. Let f(j) = -59. Calculate f(z) + 59*v(z).\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 114502287 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001382340814 rounded to 7 dps?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28296?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 10:50 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d - 59*d**2 + 308*d**2 + 53 + 2.\nAnswer: 249*d**2 + d + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 7\/128, 1\/2, -0.5, 74?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*k**4 + k**3 - 3*k - 11*k**4 + 2 - 2 in the form m*k**2 + x*k + o*k**3 + h*k**4 + g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 6*n. Let f(z) be the second derivative of -z**3\/3 + z**2\/2 + z. Let w be f(-1). Suppose -2*p - w = -11. What is g(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - m - 17. Suppose -1 = -f + 3*c - 5, 3*f = -2*c + 32. Calculate the remainder when o(f) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 - 15*a - 9. Let d be y(3). Solve -619*k + 622*k + 9 = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 4*a**2 + 20*a - 7. Calculate i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/168)\/(54\/2835) - (0 - (-660)\/68)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22671?\nAnswer: 3, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 10:25 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3494*r**3 - 3185*r**2.\nAnswer: 20964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47189 - 111911. What is n rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-6) + 2214\/12. Let u = 185 - g. Solve 4*i - 21 = -j, -2*j - i + u*i = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 422, 190, -30, -232, -410, -558, -670?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 85854497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 6*n**2 - 4*n - 4. What is q(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42109008 by -10527252.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1166.56 - 157.04. Round w to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 17.4?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1547\/(-1428))\/((-26)\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 11:37 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 78 = 80. List the prime factors of z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 663 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, n: 4, l: 2, f: 1}. What is prob of sequence lf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615487 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*t - 2*t + 5*y, 2*y - 8 = 3*t. Let m(b) be the second derivative of -b**3\/3 - b**2\/2 + 19*b. Determine m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 2. Let x be w(-1). Let g = 0.542615 + -0.570615. Which is bigger: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a. Let p(k) = 26762*k**2. Calculate o(p(j)).\nAnswer: -26762*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/2075 and -113\/5496900.\nAnswer: 456242700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30053409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*((o**43*o)\/o)\/o)\/o*(o\/(o*o*o*(o\/(((o**(-5\/7)\/o*o)\/o)\/o*o))\/o)*o)\/o)**(-42) assuming o is positive.\nAnswer: o**(-1608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 5*v**3 + 3*v**2 - 2*v + 17. Let f(c) = 3*c**3 + 2*c**2 - c + 11. Let h(k) = 8*f(k) - 5*x(k). Calculate h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1382, -1687, -1992, -2297, -2602?\nAnswer: -2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -509, -2063, -4661, -8303?\nAnswer: -12989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1441085 and 0.7.\nAnswer: 1441085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.432 times 86?\nAnswer: -123.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 > -5019936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -213?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 9 = -2*v. Let y be (30\/(-9) - -2)*v. Suppose h - 3*h = -y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7301 to 2 decimal places.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 114, 228, 344, 462, 582, 704, 828?\n\"Answer: a**2 + 111*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -2 + 3 + -11 + 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69491 is divided by 13891.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*c = -0*a + 6, 0 = -5*a + 4*c + 15. Suppose -101 = -a*u + 55. Suppose 2*t - u = -6. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -3, -1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {l: 8, v: 1, r: 4, w: 2, g: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2.5 * 4011.301\nAnswer: -10028.2525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, p: 1, h: 5, b: 7}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 40*x - 431. Let t(i) = -14*i + 145. Let d(o) = -17*t(o) - 6*z(o). Let h(m) = -2*m**2. Determine d(h(p)).\nAnswer: 4*p**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12.8 + -12.75. Round k to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from skcskuuskkkk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 1:58 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 28*q - 33*q - 26, -5*d - q - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 9, u: 1, r: 1, p: 3}. Give prob of sequence ph.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4130702?\nAnswer: 2, 29, 229, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4934.\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011 (base 2) to base 15.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2784596178?\nAnswer: 2, 3, 7, 13, 5099993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 4 = -6*y + 2*y, 4*y + 3*j = 3. Suppose y = 36*f - 39*f + 36. Solve 0 = -3*p + 4*i - 17 + 4, 4*p - f = -2*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (89*v**3 - 101*v**3 - 153*v**3)*(-3 + 0 + 5).\nAnswer: -330*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 40?  (a) 2\/31  (b) 1  (c) -2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120)\/21 + ((-4)\/(-16))\/(28\/(-32))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2964 = -2992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32275\/14 - -2307. Let i(j) = j**2 - j. Let a be i(-1). What is the common denominator of m and a\/(-8) + (-274)\/(-88)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - 43121?\nAnswer: -43134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -10629 less than -10629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*h - 7415 = -5*r, 3*r + 4*h = 7414. Suppose -22*k = 43*k + r. Put 6, k, -1 in increasing order.\nAnswer: k, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46\/9 - -44\/9. Which is bigger: 0.8 or m?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 564761?\nAnswer: 564761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 9 + 4 + -6. Suppose -6*c + r*c = 0. Solve c = 5*l - 12 - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4344.22 and -0.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2 + (-272)\/(-40))\/((-2)\/(-145))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(9*j**2 - j**2 + 5*j**2).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6575443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -33*j - 34. What is the units digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 307 - 1528\/5. Let n = -9359 + 9358.5. Which is the closest to -1?  (a) x  (b) n  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -387, -390, -391, -390, -387, -382, -375?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2412*m**2 - 4819*m**2 - 468*m**2 - 5446*m**2.\nAnswer: -8321*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*f**3 + 2\/3*f**2 - 5\/6*f - 1\/3.\nAnswer: (f - 1)*(f + 2)*(3*f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 28 from 2479.\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 7*i + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 11100000100011101110011110?\nAnswer: -11100000100011101110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8930\/1330 - (-9)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mdlldmlbsdambbal. Give prob of sequence mbdl.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 72*o + 439. Is c(55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 89 - 75. Calculate the lowest common multiple of 105 and l.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0584?  (a) 64  (b) -2\/5  (c) 0.13  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**6\/120 - w**5\/12 + 5*w**3\/6 - w**2. Let v be r(5). Find the first derivative of -5*j + v*j + 3*j**2 + 0 + 4 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*d**4 + 9*d**2 - 715*d wrt d?\nAnswer: 756*d**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 103284 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1245450 a multiple of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 295072*p - 295068*p - 12, 2*z - 2*p = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(10)*-3)\/((sqrt(8)*-2)\/sqrt(4)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 5 = -4*h, 5*s + 5*h = 0. Suppose j - 7 + 1 = 2*l, s*j - 21 = 5*l. What is the second derivative of -a + 5*a - a**5 - 11*a - j*a**5 wrt a?\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11987 + -6547. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 9:21 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 91550716?\nAnswer: 640855012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -4*n**2 + 2*n - 7. Let h(o) = -5*o**2 + 2*o - 8. Suppose 0 = -3*y - 19 + 4. Give y*h(b) + 6*m(b).\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -14*k**5 + 18*k**4 + 94*k**3 - 42*k**2 - 80*k + 24 = 0?\nAnswer: -2, -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419 is divided by 66.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 20*h**3 - 3*h - 5. Let d(j) = -10*j**3 + j + 2. Give -5*d(b) - 2*s(b).\nAnswer: 10*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t + 57. Let i be f(13). Suppose -i*z + 68 = -72. Suppose -2*a + 13 = v + a, -4*a = 4*v - z. Solve 5*j - v*j + 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4) + 33\/(-2). Let a(l) = l**2 + 17*l + 1. Let q be a(-17). Let u be q\/((-4 - 3)\/112). Is t less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 1437 = 4*c - 4899, -1584 = -c + 3*l. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425129801.\nAnswer: 53, 61, 131497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -11*w - 19. Let g(x) = -32*x - 58. Let m(s) = 6*g(s) - 21*q(s). Let v(p) = -2*p - 1. Let n(l) = -m(l) - v(l). What is the derivative of n(a) wrt a?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**2 + 8*i + 6. Let d(f) = 7*f**2 + 15*f + 11. Let s(q) = -6*d(q) + 11*m(q). What is the lowest common multiple of s(6) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15274623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*i = -13 - 3, 0 = -4*k - 5*i - 4. Suppose 5*l = k + 21. Solve b = 5*v - 2*b - 11, l*v = 5*b + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -188*k + 78. List the prime factors of y(-33).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z + 27. Let q(a) = -5*a + 26. Let x(h) = -3*q(h) + 2*r(h). Let k be x(4). What are the prime factors of 6 + 1900\/12 + k\/6?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 2*r - r)*(2 + 0 - 1) - 5*r + 3*r + 4*r + 0 + r + 0 + 3437*r + 3621*r + 790*r - 1687*r + 1422*r.\nAnswer: 7588*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m - 9 - 3*m + 24 as b + q*m and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639110?\nAnswer: 2, 5, 79, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-7 - (7 - 12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 + 66*d + 1700.\nAnswer: -2*(d - 50)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 0*a - 10 = 0. Suppose 2 + 0 = a*d. What is the least common multiple of 2 + 10 + (0 - d) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99034 and 174042.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -72 - -102. Suppose 5*j - 353 = o + u, -3*o = j - 67. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -0.1, 55 in decreasing order.\nAnswer: 55, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17785 + 18029. What is the remainder when 518 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23915730?\nAnswer: 2, 3, 5, 821, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 4*q + 23 = -12, -3*h + 21 = -q. Let z(v) = v + 7 - h. Let p(m) = -8*m + 3. Let l(j) = 22*j - 8. Let o(u) = 3*l(u) + 8*p(u). Determine o(z(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rthhtvvhrrrtr. Give prob of picking 2 t.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 308 by -22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4056*339.\nAnswer: -1374984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49135 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + w - 402087043*w**2 - 18169 + 402087041*w**2)*(2*w + 2*w - 2*w).\nAnswer: -4*w**3 - 36338*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 3*l = 2*p - 19, 5*p + l = 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 12*j**2 - 7*j + 29. Let x = 131 - 128. List the prime factors of k(x).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.8 - -0.2. Let t = -3 + h. Let m = -0.048 + 0.018. What is the smallest value in m, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - h - 3*u + 159 = 0, 101 = 2*h - 3*u. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 - 6*u - 7. Let v(d) = d**2 + 18*d - 23. Let z be v(-19). Let r be j(z). Solve 4*l - r + 9 = 4*t, 34 = -5*l - 3*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0\/v**(3\/4))\/(v\/(v\/(v\/((v*v*v*v**(-1\/4)*v*v)\/v))*v))**(-15)*v**(-1\/2)*v*v\/(v\/v**(-2\/11)*v*v)*(v**1\/v*v*v)\/v*v*v**2 assuming v is positive.\nAnswer: v**(-1203\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 59*a**2 - 1 + 5.\nAnswer: 59*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193742*g + 105 + 192945*g - 29.\nAnswer: -797*g + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18.21 - 0.21. Let u = x - 32. Let f = u - -14.00000036. Round f to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1749502.82 rounded to the nearest ten thousand?\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1538*l - 1637 + 41901 + 52016 for l.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 7*k - 167. Let q be u(24). Solve -w - 3 = -q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 0.3, -5529, 5, 3, -13, 1 in ascending order.\nAnswer: -5529, -13, 2\/7, 0.3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 793 + -786. Solve 8 = -3*w - c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 384, 396, 424, 474, 552, 664, 816?\n\"Answer: w**3 + 2*w**2 - w + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25782817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 2*d - 50, 5*f - 5*d + 26 - 106 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -11*m - 3. Let s(f) = 0*f + 5*f + 4 - 3 - f. Let n(b) = b**3 - 5*b**2 + 2*b + 7. Let u be n(5). Let y = 1792 - 1786. What is u*s(k) + y*p(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**5\/130 + 9*c**4\/13 - 229*c**3\/39 + 174*c**2\/13 - 17*c - 102. Suppose i(y) = 0. Calculate y.\nAnswer: -58, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41599 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 + -1 + 13 + 48 + -77 - 15\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 12:14 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10383 is divided by 1730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/39)*k\/k**(-45) assuming k is positive.\nAnswer: k**(1796\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 2 = -3*v + 4, v - 26 = 5*i. Suppose -5*o - 36 = 4*k, 125 = o + 4*k + 161. Solve -v*p + 2*p + 4 = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10972 + -1158. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - d + 44 - 54, 5*a + 49 = 4*d - 28 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 6*z**2 - 6*z + 314. Let r(n) = -5*n**2 + 5*n - 228. Let p(k) = 4*r(k) + 3*y(k). Calculate p(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 33, -3, 2, -5, -8.\nAnswer: -8, -6, -5, -3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1575.222cm?\nAnswer: 15.75222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 40 = 46. Let m(t) = -15*t + 0*t**3 + t**a + 12*t + 9 + 10*t - 9*t**2. Determine m(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1630739 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 11) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1436010, -5744044, -12924106, -22976196, -35900314, -51696460?\nAnswer: -70364634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-276)\/(-72)*36)\/((27\/(-3))\/3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*g**2 - 46*g**2 + 1966*g - 3947*g + 1981*g.\nAnswer: -73*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18924, -21646, -24370, -27096, -29824, -32554?\nAnswer: -35286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 13*k**2 + 4*k + 18. Calculate m(-12).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 608 divided by -2\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 556932.2cm to micrometers.\nAnswer: 5569322000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*w**2 + 4 + 10*w**6 - 2*w**3 + 14*w**6 + 13 - 14 wrt w?\nAnswer: 2880*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1219 greater than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 545 + (12 + -11)\/(2\/(-20)*2). Calculate the greatest common factor of q and 864.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in -2\/23, 4\/7, 2\/5, 0.1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = -30*y - 105 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -0.8, -2, -2\/9 in descending order.\nAnswer: 1, -2\/9, -0.8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o + 4*v - 77 = -6*o, 40*o - 78*o + 39*o + 29 = 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -24746411?\nAnswer: 24746406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of 3*v**2\/2 + 9. Let q be (1\/(-2))\/(1\/(-20)). Let k(p) = -q*p - 10*p + 21*p. What is y(k(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 3:08 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 65.4 * -544.6.\nAnswer: -35616.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 125175509660 - -0.4\nAnswer: 125175509660.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(18\/48*8*(-9)\/315)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 - (1 + 1))*5. Let h be 20\/30 - 4\/(-3). Suppose -2*l + 4*c = l - 123, -n*l - h*c + 179 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 276, 275, 274?\n\"Answer: -y + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 134949277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 31 = -3*r, -2*r + 3*u + 5 = -23. Suppose -2*m = r - 29. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + k - 592 = -3*k, 4*t + 748 = -5*k. Let o = t - -402. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 10 in decreasing order.\nAnswer: 10, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3134 = -2*l, -l + 3159 = -4*t + 2*l. Which is bigger: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 58 - 13. Let g be 11886\/m + (2\/15)\/(-1). Round g to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 21552, -2 in decreasing order.\nAnswer: 21552, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)*6 - (sqrt(3) + sqrt(27) + 5).\nAnswer: -5 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + k**2 + k - 1. Suppose 4*b - 11 = -a - 2, b - 6 = -4*a. Let p(h) = 5*h**3 - 3*h**2 - 4*h + 3. Determine a*p(m) + 3*y(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m + 0*m - 2*m + 2*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -680 minus -0.1?\nAnswer: -679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l + 2*l**2 - 80*l**3 + 82*l**3 + 0*l**2 - l**2 to the form t*l**2 + z*l**3 + k*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116*m**3 + 1040*m**3 + 907*m**3.\nAnswer: 1831*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 127.27 + -129. What is t rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*n + 84 = -84 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*z + 50 + 15 = -3*u, -z = 2*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 1. Let i(h) = -44*h + 33. Let y(r) = -33*g(r) + i(r). Suppose -2*k + 28 = 2*k. Let n(u) = 7 - k + u. Calculate y(n(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1367 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 s when four letters picked without replacement from xssxss?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 4*w - 32. Let x be h(12). Let l = -16 + x. Suppose 4*p + 3*y + 7 - 199 = 0, l = 2*p + y - 94. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a + -49?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 5 = 3*a, 3*a + 4*z = 5*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3626852928 - -993\nAnswer: -3626851935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 848712 to the power of 1\/2, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 836 - 1178. Let j = -145 - t. Let g = -197.0159 + j. Round g to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuukk. Give prob of picking 2 k and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/2)\/(-4)*(-204)\/(-51)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*a**2 + 21*a**2 - 10*a**2 in the form c + t*a + x*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 - 1)*((3 + 2 - 1)*(0*x + 2*x - 4*x) - 5 + x + 5 - 62*x + 25*x - 30*x)*(x - 3*x**3 - x) in the form p + v*x**2 + w*x**3 + i*x + z*x**4 and give z.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2533, -10078, -22653, -40258, -62893, -90558, -123253?\nAnswer: -160978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 16. Suppose -p - 50 = 5*d - 53, -3*p - 5*d = -29. Calculate the remainder when p is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 63 - 2750?\nAnswer: -2676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -20*q**3 - 4*q**2 - 21*q - 8. Let t(k) = 19*k**3 + 3*k**2 + 20*k + 6. Determine 3*f(h) + 4*t(h).\nAnswer: 16*h**3 + 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1*((sqrt(325) + -1*sqrt(325) + sqrt(325))*-2 - (-4 + -1 + sqrt(325))))**2.\nAnswer: -150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2858*x**3 + 1443*x**3 + 1431*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 2*a - a + 169, 0 = -2*o + 3*a + 76. Let l = o - -5. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*p + 3*s, p + 0*s = -4*s - 18. Which is the closest to -1?  (a) 4\/7  (b) 3\/4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from occofcoovc. What is prob of sequence ovfo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 114\/29 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 632248 is divided by 48634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**4\/4 - 57*s**3\/2 + 1897*s**2\/4 - 390*s - 893 = 0 for s.\nAnswer: -1, 2, 19, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 3. Let m(q) = -q**2 + 10*q - 14. Let d be m(8). Solve 18 = 4*a + 2*t, d*a - l*t = t - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v - 528 = -41*v - 0*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 10:27 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122704089?\nAnswer: 3, 4019, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/(l**(-2\/15)\/l))\/l)\/l)\/l**(3\/2))\/(l\/(l*l**3))**(-38) assuming l is positive.\nAnswer: l**(-3461\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*(sqrt(112) + ((-2*sqrt(112)*1)**2 - sqrt(112))).\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 12651.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -102809689698958.83000065 - -102809698902874. Let u = m + -9203886.17. Let h = u + -29. What is h rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 18, 5, 3.\nAnswer: 1, 3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3479 + -3478. Let j = 15.03 - 0.03. Let k = 21 - j. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225404.\nAnswer: 2, 37, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-3) + ((-310)\/105)\/(-2). Let y = 0.3 - 0. Which is the nearest to 1?  (a) -3  (b) y  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -4*m + 16, 2*m + 0*m - 8 = -5*x. Suppose 51*r = 60*r - 13140. Suppose -r - 1660 = m*p. What is p rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(-1\/6)))\/(x\/x**10))**(2\/49)\/((x\/(x*x*x\/x**(-1\/5)*x))\/(x*x**5)*x**(-4\/3)*x**(-8)) assuming x is positive.\nAnswer: x**(4629\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42.54 + -634.3.\nAnswer: -591.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -0.2, -2\/9, 3\/23 in decreasing order.\nAnswer: 3\/23, -0.2, -2\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d = -306*d + 195351501. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/36)\/((3\/(-1125))\/1). Let v = h - -1793\/24. What is the common denominator of -28\/3 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 24*r - 99. Let k be p(4). Sort k, 0, 10, 1.\nAnswer: k, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (1 - 2) - (56 - 51).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.21 + -9.19. Let w = i - -10. Let r be ((-8)\/14 - 0)*28\/(-40). What is the biggest value in w, r, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/39396 and -185\/140322?\nAnswer: 131622036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {l: 2, p: 1, y: 1, e: 5, z: 2, i: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 269*s**3\/7 + 44929*s**2\/7 - 26142*s - 4104\/7 = 0. Calculate s.\nAnswer: -171, -6\/269, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/170718 and 17\/6.\nAnswer: 170718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 92\/17, 5, -4, 73, -1, 11\/3, 0 in decreasing order.\nAnswer: 73, 92\/17, 5, 11\/3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b. Let n be y(7). Let l be n*(-3)\/3 - 2. Suppose 0 = 49*z - 104 + 6. Solve -2*c = t + 11, 3*t - l*t = -z*c + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 340251 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - -1 - (6 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 784, 694, 606, 520?\n\"Answer: g**2 - 93*g + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**2 + 4*y**3 - 76*y - 2*y**3 + 24571 - 24569 in the form g*y**2 + n + z*y**3 + o*y and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 62211533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -6. Calculate the remainder when 19 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76\/87 - 6\/29. What is the closest to 6 in 3, 0.1, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1\/2)*n*n**(-8)*n*n*n*((n\/(n**(-1)\/n))\/n)**27)\/((n\/n**(-5)*n)\/n**(-4\/3)*(n**(-1\/4))**50) assuming n is positive.\nAnswer: n**(164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-910)\/(-260))\/((-1)\/(-4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 6*h**2 - 7*h + 5. What is x(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 46*f**2 - 3*f - 2. What is the lowest common multiple of v(-1) and 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u - 5. Let j be i(-4). Suppose -8 + 2 = -j*d. Let y(v) = -v + 3. Let h be y(5). Put h, d, 0 in increasing order.\nAnswer: h, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*m + 632 = -24*m + 130*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/6 - ((-4865)\/(-8757))\/(5\/(-492)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of 5*b**4\/6 + 2*b**3\/3 - 15*b**2\/2 - 8*b. Is h(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2 - 6. Let g be (o*-17)\/((-7)\/28). Suppose -v - 3*r = -3*v + 131, 2*v - 4*r = g. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/176985 and -163\/16269510.\nAnswer: 439276770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 104 = 2*l. Suppose -s = 9 - l. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 91 + 104. What are the prime factors of o?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 157137 = 5*x - 112868, 0 = 2*x + 4*q - 108020. What is x rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 623282053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1586530\/133 - -11929. Calculate the common denominator of -23\/6 and a.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = p, -5*f + 0*p + 435 = 3*p. Let r = -48 + f. What is the hundreds digit of ((-85)\/(-15))\/(2\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z + 6. Let s(f) = -f**2 - 7*f - 3. Let u be s(-5). Does 8 divide b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from iiiivummim?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15504 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 314777\/35 - 8993. Find the common denominator of n and -14\/75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 790498679 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 11*b**3 + b**2 - 3*b + 1. Let h be y(2). Let q = h + -39. What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*w + 19*w - 11*w = -30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -14. Let g = k + 13. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 52 = -x. Let o be x\/30 + (-2)\/(-5). Let n = -12\/11 + 57\/22. Which is the closest to 0?  (a) o  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3210\/(-214)*((-1)\/3)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25169 - 17172. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7120 + 800 = 6*i. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from wvvwwwv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -o + 18, 0 = 2*p - 5*p + 5*o - 6. Which is greater: p or -12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2357 and -0.03.\nAnswer: -2357.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -331*l + 3990 = 8*l - 9909. What is the remainder when 367 is divided by l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 10:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3375 is divided by 839?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043 to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j*j**3))\/j)\/j*j**0*j*j*j**(1\/3)\/j*j**(-7)*(((j**(2\/3)*j)\/j)\/j**(2\/5))**(-19) assuming j is positive.\nAnswer: j**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2710230 by 1355115.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3434 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216583391.\nAnswer: 31, 229, 30509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3147155 divided by 1.\nAnswer: 3147155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 840 and 420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -101 - -72. Let n = -25 - z. Suppose 5*y = 4*k - 18, -k + 2*y = n*y + 2. Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 4*u + 1 = 2*g, 8 = 3*g - 5*u. Suppose -3*q = 2*q + 3*r - 3, -4*q + g = r. Solve -h - 1 = 3*d, q = 3*d + 2 + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*c + 3)*(1 + 2 - 2) + (3*c - 2*c + c)*(40 + 22 - 95)*(0 + 2 + 0).\nAnswer: -134*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 297 + -26?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.09161 + 1664.29161. Round v to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 972.1057nm to millimeters.\nAnswer: 0.0009721057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (690\/230)\/((-3)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 2*h - 18 = i, 5 = h. Is (-4 + 19)*(-4)\/(-6)*i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192519538 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 11:07 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010100010010110010 - 11100?\nAnswer: 1010100010010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to -16618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 54528926495 + -3508936420060921\/64350. Let b = 17\/1287 + o. What is the common denominator of b and -5\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -95.3022 - -95.1. What is o rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 7, -4, -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*s**5*w**2 - 2*s**5*w + 14*s**2 + 2*s*w**2 wrt s.\nAnswer: 420*s**2*w**2 - 120*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 867847329 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - b = 4*b + 5, -5*y = -3*b - 35 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9761107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1896586 divided by -1?\nAnswer: 1896586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 11:16 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 106*(-2)\/12*-3. Suppose l - 45 = 2*a. Calculate the smallest common multiple of a and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/((z\/z**2*z)\/z*z*z))\/z)\/z**4)**(-9\/4) assuming z is positive.\nAnswer: z**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4 - 9286*d**3 - 28197609*d**2 - 30830262880*d - 11022931206400 = 0. Calculate d.\nAnswer: -3760, -883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44*g**2*h**4 - 5550*g**2*h**2 + 195*g*h**5 + 3*h**2 wrt h?\nAnswer: 1056*g**2*h + 11700*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = c - 12, 11*c = 9*c + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -19*j - 13. Let u(n) = -1. Let h(r) = -l(r) + 4*u(r). Let q(p) = -19*p - 10. Let o(g) = -6*h(g) - 5*q(g). Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10 - -8) + (-5)\/(5\/(-9)). Suppose 2*j = n*j - 795. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16 - (-400)\/25) + -14. Put -3\/8, i, 1\/2, 0.02 in descending order.\nAnswer: 1\/2, 0.02, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4) - (sqrt(36) + sqrt(36) + sqrt(2304) + sqrt(36) + sqrt(4))) + sqrt(4))\/(sqrt(6)\/sqrt(3)*-1).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c - 2*c - 8*c + c**2.\nAnswer: c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104198 is divided by 5484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (616\/95634*-69)\/((-190)\/(-9)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21711, 21709, 21703, 21693, 21679, 21661, 21639?\nAnswer: 21613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44619 is divided by 22030.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3427 - -34221\/10. What is the common denominator of w and -9\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c + 4*c = -0*c - 6*c - 238 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 2*l - 2*l)*(2*l - 4*l - 6*l) - 6*l**2 + 2 - 2 + (3*l - 3*l - l**2)*(-2 + 1 + 0).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 7*s + 14 = -4*i, -732 = -3*s - 2*i + 727 - 1493 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5 + 4*x - 3 - 2 with respect to x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -7 + 41*h - 15*h - 16*h - 6*h. Let m be k(2). Suppose -m + 0 = -d. Let p(s) = -12*s**2 - s. Give p(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**2 + i - 3. Let p be t(2). Solve 5*r - p = -31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 839 + 33?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 9 = -13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 8 = -3*v - 1, 5*v + 2*r = 8. Suppose -3*f - 3*n + 13150000 = 2*f, -4*f + 10520000 = v*n. Round f to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30900029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (3*(sqrt(700) + 3))**2 + sqrt(700) - (sqrt(700) + sqrt(700)*-1 + -3 + 0 + sqrt(700) + -3)**2.\nAnswer: 670*sqrt(7) + 5648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1829101739.\nAnswer: 1829101739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5\/3 - 49144*s**4\/3 - 311500*s**3 + 1032784*s**2\/3 + 934498*s\/3 - 327880 = 0.\nAnswer: -20, -1, 1, 24591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l - 4 + 5*l - l - 4*l. Suppose 36 = -2*b + 5*b. Suppose 5*w = b + 3. Calculate s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -55 - -10214?\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.743 times 0.5?\nAnswer: -1.3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15e4ac - 3?\nAnswer: -15e4af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 5:02 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 359108 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3492.2835524 + -0.3?\nAnswer: -3492.5835524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 196, 208, 234, 280, 352, 456, 598?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 348\/2349275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 5*f**2 + 3*f + 1. What is the least common multiple of w(3) and (-4 - 3) + (-80)\/(-5)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2 + 5*b - 20*b**4 - 49*b**4 - 21 - b + 3*b wrt b.\nAnswer: -828*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of s**3\/6 - 8*s**2. Let t(h) = h + 6. Suppose -5*q + 10 = -20. Determine q*c(u) - t(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - (-14 + -2 - -2). Let d be 2\/(-6)*(-180)\/(-30). Let g be (-3)\/i*1 + d\/(-8). Solve g = k, -3*a + 2*k - 6 = 7*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvj when four letters picked without replacement from vvgggvjvjgj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3898, -3933, -3902, -3781, -3546?\n\"Answer: 4*m**3 + 9*m**2 - 90*m - 3821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 861 and 1053577?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 563.640036 to 0 decimal places.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2817*m - 1439*m - 2191*m**2 - 1378*m. Let j(d) = -4*d**2. Calculate u(j(b)).\nAnswer: -35056*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -55694238\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {t: 1, i: 1, f: 1, s: 6}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.35 - -0.05. Let g be (-426)\/355*20\/42. Let v be (-7)\/(-1) + 1*-2. What is the smallest value in g, v, l, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.68 and -13?\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/7))**(-4\/7) assuming x is positive.\nAnswer: x**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 284 + 56. What is the remainder when ((-76)\/(-5))\/((s\/50)\/17) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002225665 to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 149 + -124. Suppose q*y = 11*y + 994. What is the remainder when y is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 55*r + 21 - 14 + 131*r + 17 to the form g + h*r and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5034 is divided by 280?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*y = 17, -y = -5*p + p + 47. Let s = p - 3. Solve -4*j = 4*o + 12, o = j - 1 + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98661?\nAnswer: 3, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 754.6 + -697. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*v**4 - 47*v**2 - 2056*v wrt v.\nAnswer: 24*v**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 8. Let q(f) = 5 - 5*f - 4*f**2 + k*f**2 - f**3 + 4*f. Calculate the remainder when 13 is divided by q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.393 + 26641535\nAnswer: 26641535.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 832*v - 882*v - 1210*v - 1856*v to the form p + s*v and give s.\nAnswer: -3116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -25500*o**3 - 12102340*o**2 + 4826016*o + 7600 = 0?\nAnswer: -475, -2\/1275, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Solve 3202 = -995*g + 30197 + 9820 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -264 - -264. Let b(u) be the first derivative of 2 + 3*u**2 + 0*u**4 + p*u + 0*u**3 + 3\/5*u**5. Find the second derivative of b(i) wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.6000102 - -9.6. Round p to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*u**3 + 7*u**2 - 7*u**2)*(0 - 4*u + 0)*(-4 - 3 + 6).\nAnswer: 124*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -8871569\nAnswer: 2\/8871569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 20492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22094591 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7248676 kilograms to milligrams.\nAnswer: 724867.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2 = -m - s, 0 = 3*m + 3*s. Let p(v) be the first derivative of 5*v**4\/4 - 2*v**3\/3 + v + 1. Determine p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -7.025?\nAnswer: 14.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44442 and 90?\nAnswer: 222210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/1560 and -139\/2964.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 778555 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 3. Suppose -4*o - 3*z = -590, -2*o + 749 = r*o - 2*z. Suppose 5*u - o = 221. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(128) + -1)*-6 + 2*(sqrt(128) + -2 + sqrt(128)) + -4)**2.\nAnswer: -28160*sqrt(2) + 206736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 566*g - 1724 + 723 + 118*g with respect to g.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 612656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 2*t + 8 = 0, -2*k - 19*t = -21*t - 10. Solve 0 = -0*x + x + 5*n + k, -5*n = -5*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 8*d = 2*u - 914, 9*d = -3*u + 1251. Solve -u + 53 = -97*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00677 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*q - 33 - 26*q - 29.\nAnswer: -3*q - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/30 - (-5)\/(300\/112). Determine t, given that -2*t**l - 2*t + t**4 + 0 - 1\/2*t**5 + 3\/2*t**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -45*j**2 + 25*j. Let u(p) = -6*p**2 + 3*p. Let a(m) = 3*s(m) - 25*u(m). Let r(t) = 11*t. Determine a(r(i)).\nAnswer: 1815*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 12*d - 8. Let j(k) = 1. Let h(w) = -5*j(w) - r(w). Let n be h(-10). What is the greatest common factor of n and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1270 - 1294. Let b = -97 - -68. Let z = b - d. Which is bigger: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -135*p - 209 wrt p?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**3 + 2*q + 1. Let g be m(-1). Suppose 8*y - 3*y = 10. Solve -3 = -g*n - d - y*d, -n + d = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -188.7 and 2793.\nAnswer: -527039.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 212*m - 2 = 211*m + 4*s, -5*m + 2*s = 26 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 82536593393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o**5 + 3*o**5 - 3*o**5 + (4*o**4 + 2*o**4 - 4*o**4)*(-2*o - 3*o + 4*o) - 175*o**2 - 3*o**5 - 6*o**3 + 175*o**2.\nAnswer: -9*o**5 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5385 is divided by 1089?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 132.933 - 133. Let z = 0.06699884 + m. Round z to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 1671171\nAnswer: -2\/1671171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -31. Let x = -21 + v. Which is the closest to -2\/3?  (a) -0.5  (b) 0  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 291930 divided by 2630.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z + 8*z + 45*z = -40 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -0.0272, -2\/11, -0.4 in increasing order.\nAnswer: -0.4, -1\/4, -2\/11, -0.0272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -149?\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-4)*c)\/c**(-1\/13) assuming c is positive.\nAnswer: c**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c - 78bb6?\nAnswer: -78b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 33, 71, 123, 189, 269?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*s + 15 = 0, -4*s - 20 = -2*k + 6*k. Let q(w) = 7*w + 6. Let x(i) = -i - 1. Suppose 0 = -h - 4*h - 5. Give h*q(l) + k*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 82 - (-2 + 4 + 1). Suppose -4*i + 164 = 2*o, 0*o - j = -o - i. Suppose 4*f = 3*w - 44, 5*w = 4*f + o - 32. Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94*h**2 - 66*h**2 + 133*h**2 + 145*h**6 wrt h?\nAnswer: 17400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 305790731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4226834*q**2 + 8453626*q**2 - 4226821*q**2.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17809 is divided by 292?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3*p = -8*p + 302, -2*p + 2 = 0. Suppose 0 = 3*n - 12*n + g. Calculate the highest common divisor of 297 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 9:23 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 20\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5833\/3  (b) -0.5  (c) 5\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 231134882*c**2*n*v - 3*c*v + 1324*c + 7*n*v - n wrt c?\nAnswer: 462269764*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0851 - 1.2851. Let d = -0.1 + 0.2. Which is the smallest value?  (a) 0.2  (b) l  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2676140 divided by -7871?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u. Let d(l) = 9470*l**2 - l. What is g(d(y))?\nAnswer: -9470*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 110\/(-25) - 6\/(-15). Let g be 796\/6*(1 - x\/8). Is g*-1*(-7 + 0 - -6) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2 - 2. Let j(v) = 6*v**2 - 18*v + 14. Let u(y) = y**2 - 6*y + 6. Let a(m) = j(m) - 3*u(m). Give -3*a(i) + 5*w(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 11 + 1 - 6 + h**2 + h + 39. Suppose 0 = -2*l - 3*c - 3 + 9, c - 2 = -5*l. What is the tens digit of f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-2 - 0) - 0) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-8)*16\/6. Let a(o) = -o**2 - 5*o + 1. Let h be a(-5). Let w be 4 - h - d\/(-4). Calculate the greatest common factor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**2 + 2. Let z(j) = -7*j**2 + 10*j - 2. Let u(l) = 5*m(l) + z(l). Determine u(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -97151\/4 or -24287?\nAnswer: -24287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111 - 100?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 647, 619, 587, 551, 511?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3785774 is divided by 2593?\nAnswer: 2587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -480 divided by -120.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/2 of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*v + 1. Let x = -8 - -11. Let i(b) = -b**3 + b - 1. Let y(m) = 2*m**3 - m**2 - 4*m + 3. Determine v*y(f) + x*i(f).\nAnswer: -f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -64492 - -117092. What is the hundreds digit of q\/96 - (-4)\/48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 279f1c + 2?\nAnswer: 279f1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/20 and -33\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/9*(-11 - -11). What is the closest to 0 in -11, -3, -5\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*v + 24*v + 21 - 7*v - 22.\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -143056 divided by -35764\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3*q**4\/2 - 357*q**3\/2 - 74451*q**2\/2 - 969843*q\/2 - 447876 = 0.\nAnswer: -99, -13, -1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 1 + 0 = 0. Let l(p) = 2*p**2 - 3*p - 2. Let q(o) = o + 1. Calculate g*l(d) - 2*q(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**6\/60 - g**5\/10 + 4*g**3\/3 - 14*g**2. Let x(f) = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.44 - 0.1. Let n = g - -0.24. Let h(p) = p**3 + 3*p**2. Let c be h(-3). What is the second smallest value in n, c, 0.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h = -22*h + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 8*f + 23. Let t be z(-10). Let b = t - 1. Sort 1, b, -5 in descending order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 3*h - 96. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cppppcpcqpppcppccp. Give prob of picking 3 p and 1 c.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-4)*(9 + -8 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 8:47 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k\/(k\/(k\/k**(-4)))))**(-14\/9) assuming k is positive.\nAnswer: k**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5592 divided by -6\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*s**2 - 1)*(-33 + 88 + 26).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 3 + 8*w - 7*w + 14*w in the form u + x*w and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4615 - 745 = 0. Let c = 693 - t. Let i be (-6)\/21 - c\/(-14). What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -18*f**3 + 18*f**2 + 55*f - 322. What is the ten thousands digit of z(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011010011 - 10100?\nAnswer: -11011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1962 - -0.1?\nAnswer: -1961.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*z - 41 = 0, -2*z + 2 + 0 = 0. Solve 4*v = -a + m, 0*v + 7 = -3*a + v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 9:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.457 and 5?\nAnswer: 5.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + -4. Let a = 9 - s. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 63*g - 95. Let c(z) = -20 + 39 - 18. Let y(f) = 3*c(f) + x(f). Differentiate y(r) wrt r.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16422 at least -17419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -123  (b) -521  (c) 4\/5  (d) -1\/2  (e) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, h: 3, v: 3, e: 1, l: 1}. Give prob of sequence rlh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 26170.16t?\nAnswer: 26170160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 12*b**2 + 18*b + 17. Suppose 2*z + n - 20 = z, 4*n + 91 = 5*z. Calculate the remainder when x(-10) is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l + 108. Determine m(16).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 25310 (base 10) to base 7\nAnswer: 133535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*c + c - 14*i = 24*c - 54, 0 = -0*i - 4*i + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3156367, -3156378, -3156387, -3156394?\nAnswer: -3156399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-188)\/(-36) - 6\/27. Suppose y*p - 8*p = 3. Which is bigger: -1\/12 or p?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*12 + (-8)\/2. Let n = -14 + w. Let f = -21 + n. What is the remainder when 35 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6687 + 6687.09. Which is bigger: -0.0037 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252 is divided by 126.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/2 of a century in months?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-5)\/(-24))\/5 + 291\/873. Let v = 0.6 - 0.3. Which is the smallest value?  (a) v  (b) t  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -83 + -bc4?\nAnswer: -c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-115)\/(-10) + 14\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -238862.74 + 238863. Let f = 0.03 - -0.37. Which is the nearest to j?  (a) f  (b) -2\/3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 49, 55, 65, 79?\n\"Answer: 2*n**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 47 = -14. Suppose 2*u = 5*s + 3 - o, 5*s = u + 4. Let q be 6\/3 + 1 + 1. Which is the third smallest value?  (a) q  (b) u  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.6967465 to 1 dp.\nAnswer: 31.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 531 is divided by 244?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 1177*h + 1172*h - 2349*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*g**2 - 229 + 18*g + 144 + 82 to the form v*g + r*g**2 + s and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -3*x + 9*x. Suppose x = -20*s + 23*s, 2*s = -5*r + 30. Solve 0 = -5*g + r*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.6424563 nanometers?\nAnswer: 0.0000006424563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 > 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -47900 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17980 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -6*n + 146. Let k be u(23). Suppose -l - 4208 = -3*z, -13*l + k*l - 5629 = -4*z. List the prime factors of z.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -33. Let v = 1 + -1. What is the least common multiple of 3 + (v - (3 + -2)) and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izzlziozm. What is prob of sequence izo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00911189419 rounded to 5 decimal places?\nAnswer: -0.00911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290*z + 279*z + 5733 + 7891 = 66541 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 10*b - 40389 = o, -121171 = -3*b - o. Let a be b\/(-315) + (-4)\/(-18). Do a and -130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k + 1. Let b be c(0). What is the second biggest value in b, 8, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92\/4 - 18) + (-83)\/17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 9:05 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 7*q**2 + 9*q + 10. Let b be m(8). Let y = -13 + b. Let n = -4035 + 4053. Calculate the remainder when n is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r + 7. Suppose h - 2*h - o - 1786 = 0, 4*o - 8 = 0. Let w be 10\/105 - h\/(-252). Determine t(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 16*l + 108. Calculate w(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02388109 rounded to five decimal places?\nAnswer: 0.02388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*n**4 - 278*n**3 + 786*n**2 - 770*n + 254.\nAnswer: 2*(n - 1)**3*(4*n - 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 604881, 604853, 604825?\nAnswer: 604797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 11*d**2 + 3*d - 4. Give h(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-558)\/(-217))\/((-6)\/(-70)). Solve -94*i - j = -84*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 3, -37080?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 8 = 3*o, -o + 4 = -g + 2*o. Suppose -2*x + 61 = 67. Sort 4, g, x in decreasing order.\nAnswer: 4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 5. Suppose f = -4*q + q. Solve q*n = -3*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o**3 + 3*o**2 - o + 27. Let i(f) = -3*f**3 - 3*f**2 - 18. Let v(y) = 2*a(y) + 3*i(y). What is v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 - -15.2. Let m = -14 + a. Let k be (-7)\/35 - ((-96)\/(-10))\/(-3). Is m equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*w = -1373 + 797 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 2678*f = 2673*f + 29, -3*z - 17 = -f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 329\/10 - (30459\/710 - 43)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39027558161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 79919, 79946, 79973, 80000, 80027, 80054?\nAnswer: 80081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(-25)\/(-45) + 12\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21*10\/585)\/(((-340)\/10)\/442)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*l + 236 = 85*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 1818 = 5*z, 0 = -4*z + 6*z + 5*d - 723. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -53*u + 7. Let i = 6 - 12. Let v be k(i). Suppose -2*f - 59 = -x, -5*x - 2*f + v = 3*f. Calculate the greatest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2*r + 2)*(-13385 + 5909 + 3391) to x*r + d and give x.\nAnswer: 8170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -54128.54 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 8:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 20*k**5 - 11*k**4 - 16*k**3 + 7*k**2 + 11*k - 11. Let h(b) = 7*b**5 - 4*b**4 - 5*b**3 + 2*b**2 + 4*b - 4. Let q(y) = 11*h(y) - 4*r(y). Factor q(z).\nAnswer: -3*z**2*(z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-4\/19)*a)\/a**(18\/11))\/(((a**(-4\/3)\/a*a)\/a)\/a)**18 assuming a is positive.\nAnswer: a**(12660\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 662 and 580574?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 637646058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 69658086.3 and 96704.\nAnswer: 69754790.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) + -6*-1*sqrt(156) + sqrt(156) + sqrt(156) - sqrt(156))\/(1*sqrt(16)))\/((sqrt(768)\/sqrt(8))\/sqrt(2)*-6).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244137 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 382 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kmkmzkmkkmmzmm. Give prob of sequence kmzk.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19 - 627?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/130)\/((-554)\/5540)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*f + 6 = 5*c, -3*f = 9. Suppose 11*h - c*h + 2*p = 2025, -3*h = -2*p - 1199. Is 48 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 3*m**2 + 3*m + 2. Suppose -20 + 11 = 3*t. What is the smallest common multiple of 4 and o(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2c + 16?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -847 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 11:20 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6, 5, -4, -21?\n\"Answer: -4*i**2 + 11*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 183*x - 633. Let p(d) = 67*d - 212. Let j(v) = -4*c(v) + 11*p(v). Calculate j(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*y**3 - 193*y - 10156 + 63*y**2 - 63*y**2 + 983 + 6*y**3 wrt y?\nAnswer: 36*y**2 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 3. Let d = k - 4. Is d at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-20))\/((-20910)\/5576)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002592 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -198 - -196. Which is the closest to -11?  (a) -2\/15  (b) 4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - 24*f + 572. Give t(-21).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 917597399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -2644446 = -2644449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 100000111000010110111010 (base 2) to base 4\nAnswer: 200320112322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31 or -185\/6?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.166 - -136.834. Let y = -174.4 + n. Let k = -37 - y. What is the biggest value in -8, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hdpdxhhahhahppxhaad. What is prob of sequence hah?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**0\/(t*t**(1\/12))*(t\/t**(-1))**(33\/2)*t**3*t*t\/(t\/(t**6\/t*t))*(t*t*t**(-2\/7))**(-33) assuming t is positive.\nAnswer: t**(-1231\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5.57  (b) -0.4  (c) 0.1  (d) 4  (e) -3\/4  (f) 34\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 251020.22446+-668\nAnswer: 250352.22446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b8 + -263?\nAnswer: -35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 PM and 5:54 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(15)\/sqrt(3) + 1).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m\/(m\/(m\/(m*m\/(m*m*m**(-1\/3))))))*m)\/m**(-2\/3)*(m*m**(-4\/3)\/m*m*m)\/((((m*m**(-6\/13))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(239\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-6) + (-44)\/(-12). Suppose q - s - 36 = -q, -3*q + c*s + 48 = 0. Let f = q - 16. Solve f*z + 2 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 0*b + 2*b)*(-6 - 19 + 0)*(-2*b + 2*b + 2*b).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -4. Let t(n) = -3 + n + r*n - n**2 + 2*n. Let a(p) = p + 3. Let b be a(0). Give t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -4*r - 0*p - 5*p, -3*r + p = 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yby when three letters picked without replacement from {b: 4, y: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of 0*f + 0*f**3 + 0*f**5 - 8*f**2 + 0 + 1\/4*f**4 + 2\/15*f**6. What is the second derivative of s(m) wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 9. Is 0 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 76418 or 75600?\nAnswer: 76418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5*w = -79861, 11*w = -4*k + 9*w + 106516. What are the prime factors of k?\nAnswer: 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/3*3\/(-2). Suppose 0 = -4*a + 2*j + 174, l*a = 3*j + 224 - 6. Suppose 5*y - a - 132 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 354 = -5*p + 7*p. What are the prime factors of p?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tsqs when four letters picked without replacement from zsgsztqe?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 21 - 217. Suppose 3*d = 5*d + 50. Let g = d + l. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 61755 - 9135 = 0. Suppose -7*g + f - 1664 = 0. Suppose -6*t = -9425 - g. Round t to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of o**6\/1440 - o**5\/240 - 13*o**4\/288 + 5*o**3\/24 + 8*o**2 - 4. Factor b(r).\nAnswer: (r - 5)*(r - 1)*(r + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -661*k**8\/56 - k**5\/20 + 572*k**4\/3 + 8*k - 111. What is the third derivative of d(p) wrt p?\nAnswer: -79320*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15197623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 5*x**2 + 2*x - 6. Let q be c(5). Suppose -3*z + 5*u + 24 = 2*u, q*z = u + 26. Suppose 30 = -m + z*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/54*-6)\/(14\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -h + 17. Let n be 2\/10 - 478\/(-10). Let y = n + h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -143\/24, -4\/3 in descending order.\nAnswer: 0.1, -4\/3, -143\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (69\/(-5))\/23 + 18\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.082 + 0.022. Let h = p + -10.24. What is h rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - 0) + 196 + -224.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*m - 4 - 7, -5*h + 19 = -2*m. Let l(w) = -w**2 + 7*w + 4. Let u be l(7). Suppose 0*p + 4 = u*p. Put h, -4, p in descending order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204*h = 210*h + 55404. List the prime factors of -3 - (-46)\/14 - h\/21.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-45)*27)\/((-31)\/((-39060)\/(-189)))*-4.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 8:49 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 233 - 13. What is the greatest common factor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*g**3 - g**2 - 26*g + 4777.\nAnswer: -21*g**2 - 2*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30\/301 or 1?\nAnswer: 30\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10\/9, 5, -0.02, -2\/13, -0.1 in decreasing order.\nAnswer: 5, 10\/9, -0.02, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(170)*-1*-4)\/sqrt(10) - (sqrt(204)\/(sqrt(12) - -1*sqrt(12)) + (1 + sqrt(17))*6 + sqrt(17))).\nAnswer: -21*sqrt(17)\/2 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/400 and -97\/23307408?\nAnswer: 582685200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 48*q**4 + 13128*q**3 - 6573*q**2 + 822*q = 0?\nAnswer: -274, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 88898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 21*s + 13 + 5*s**2 - 8 + 15*s**2 + 37. Let u be x(-19). Solve -t = -5*o + 7, -3*o - u*t + 0*t - 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z**2 - 19*z + 147. Determine k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9520137078007\/1976782825656 + -371380\/15356277. Let u = 2\/16091 - y. Find the common denominator of 229\/18 + 2\/(-9) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.051  (b) -173  (c) 6  (d) -2\/7  (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((0 - 0) + (-19 - -16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 12, -2\/7, 0, 2\/9, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 102 and 1809.\nAnswer: 61506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 14 = -2*f, 1 + 9 = 2*o + 2*f. What is the units digit of (10\/(-8) + o)*28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 756, 2692, 5936, 10494, 16372?\nAnswer: 23576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -351754, -703510, -1055266, -1407022?\nAnswer: -1758778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*(0 + sqrt(11))*-2 + -6*(sqrt(121)*2)\/sqrt(11) + 4.\nAnswer: -22*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, o: 2, t: 1, r: 4}. What is prob of picking 1 t, 1 j, and 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -619407533*u**2*v*x + 186775577*u**2 + 2*u*x wrt v.\nAnswer: -619407533*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/81240 and -143\/1236.\nAnswer: 8367720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 5 + 2*p**3 + 13*p**4 + 14*p**4 - 23*p**4 as s*p**3 + b*p**4 + i + y*p + o*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34 in 2, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37*(-11)\/(-22) - -2)*20\/30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from urkgksfur. What is prob of sequence sukr?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 472 and (2 + -7)\/1*-48 - (374 - 370).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 31 and -0.67.\nAnswer: 30.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 34 (base 8) to base 5\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-18)*-6*4\/20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.8 - -0.2. Let n = 6 + -6.7. Let s = 0.9 + n. What is the second smallest value in s, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122646?\nAnswer: 2, 3, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 8*a**2 + 2. Let w be (-7)\/21 - 69\/9. Let u be h(w). Let r(b) = b**3 - b + 2. Give r(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7526 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 115557 and 234.\nAnswer: 693342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-4)*(0 + 2). Suppose g = 3*c - 13, -5*c + 9 = z*g - 8. List the prime factors of 2\/g - -1*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 1207315?\nAnswer: 12073150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-348)\/406 - 2\/14)*-3. Let p(v) be the first derivative of 1\/2*v**2 + 5\/3*v**i + 12 + 7\/4*v**4 + 0*v + 3\/5*v**5. Factor p(g).\nAnswer: g*(g + 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43 - 39. Which is smaller: 13\/4 or v?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, -3, 0.07, 13\/7, 0.1, 3 in descending order.\nAnswer: 3, 13\/7, 0.1, 0.07, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/4 + (-30)\/(-8). Suppose q - 6*q + 2*m + 28 = 0, 2*q + m - t = 0. Suppose 10 = -q*l - l + 2*r, 2*r = -2*l + 10. Sort -1, l, 3 in descending order.\nAnswer: 3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 468\/(-312) - ((-7)\/2 + 0). Suppose 8 = -d + 2. Let h be 15\/12 + d\/(-8). What is the greatest common factor of h and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 7, m: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 133 + -87. Suppose 4*u - 2*u + 5*i = 30, -3*i = 4*u - v. Suppose 4*o = 4*c + 44, 3*o = -2*c - 2*c - 2. Calculate the remainder when u is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 11. Suppose -m*y = -2*s - 29, -3*y + 17 = s - 0. What is the lowest common multiple of y and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of 11*z**5\/60 + 7*z**3\/3 - 17*z**2. What is the derivative of y(c) wrt c?\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/(-10))\/((-24)\/(-80)). Let b be (30\/(-20))\/((-6)\/m*-2). Let p(o) = 8*o**2 + 7*o - 5. Let w(a) = a**2 + a - 1. Determine b*p(d) - 6*w(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64702 divided by 11.\nAnswer: 5882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8 = 2*s, s + 3*s - 5*q = 25. Let a be (-85)\/(-175) - 2\/s. Put 0, a, 5 in ascending order.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqssqqqqqqqqqqq.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 2*o - 150, -2*o + 217 - 59 = -3*k. Suppose -2823 = -4*l + o. What are the prime factors of l?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 286901067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t**3 + 4*t**2 - 6*t + 12. Let w(u) = 2*u**3 - 2*u**2 - u - 3. Give g(r) + 3*w(r).\nAnswer: 3*r**3 - 2*r**2 - 9*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 4*g + 3. Let r be q(-2). Let s(v) = -12*v**3 - v**2 - 13. Let a(l) = 3*l**3 + 3. Let n = 144 + -146. Give n*s(z) + r*a(z).\nAnswer: -3*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1578 + -305. Let n = -1273.003004 + r. What is n rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 76345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1))**(-33))**(-25) assuming q is positive.\nAnswer: q**(-825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 5*b. Suppose a = -y - 2*y + 18, -2*a = 0. List the prime factors of h(y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -121 + 844\/7. Let c = -0.2 - 0. Sort p, -0.5, c.\nAnswer: -0.5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 114, 126, 140, 156, 174, 194?\n\"Answer: t**2 + 9*t + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -230 (base 4) in base 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*p + 4*b, -3*p + 453*b - 33 = 447*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (5\/30*75\/(-10))\/(15\/144)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -148306.2532 * -3.\nAnswer: 444918.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -32083*h. Let s(t) = 2*t. Calculate s(r(c)).\nAnswer: -64166*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 30 = -4*k. Suppose -5*l + k = -2*l. Suppose -u + 261 = l*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v + 3. Let a(k) = -4*k - 4. Let r(y) = 4*a(y) + 5*b(y). Give r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 - 36. What is the units digit of (-945)\/(-20) - b\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of -g**4\/12 - g. Factor m(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 15*o + 25. Let w be i(-2). Which is the nearest to -2\/3?  (a) 5  (b) -0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 14) + 9 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, 4, -101, -7 in increasing order.\nAnswer: -101, -7, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 9*u - 12. Give v(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*d + 6*d + 4416*d**2 - 3182*d**2 to b + j*d + v*d**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 177154\/1961 or 90?\nAnswer: 177154\/1961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 0.3, -0.1, 0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(891) + sqrt(891) + 0)*-1)**2 - (3*sqrt(891) + 3 + (sqrt(891) + -2 + sqrt(891) + sqrt(891))*-2)**2.\nAnswer: -7177 + 378*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -6497.6436 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*u + 77*u + 99*u.\nAnswer: 133*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does -2 = -29639\/48589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21164 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 99348088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107 - 130 + 8*w**3 - 3*w**3 + 437 - 108 - 113.\nAnswer: 5*w**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -129717261 and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 2. Let l(i) = -i - 4. Give 3*l(r) - 5*n(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-10)*(4 - -2). Let b be (-3)\/(-4 - (-33)\/6). Suppose -g - 3*p - 13 = p, -4*g + 2*p + 2 = 0. What is the closest to g in -2\/7, b, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5050891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29 and 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -27*g**2 - g - 1. Let r be u(-1). Suppose 0 = -w - 14 - 31. Let b = r - w. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from piiwj. What is prob of sequence ipi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 9*x + 50 = 0. Suppose f - 204 = -3*d, -f - 430 = -3*f + x*d. Suppose 3*b - w - 294 = 0, 2*b + 3*w = -w + f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3841 - 3893 - (0 + -21 + -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 3*n**2 + 2. Let i be s(3). Suppose -2*o - 2*w = i, 0 = -7*o + 4*o + 2*w + 12. Is o < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.3 + 5. Let q = 3 - 3.5. Which is the closest to -0.1?  (a) 0  (b) q  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10\/4)\/(1\/2). Suppose -4*n - z*n = 261. Let u = n - -32. Which is greater: u or 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 0 + 3)*(t - t - t**2) - t**2 - 3*t**2 + 5*t**2 - 8*t**2 - t**2 + 3*t**2 + (4 - 4 - 2*t**2)*(1 - 1 - 3))*(-43 - 53*t + 34*t + 18*t).\nAnswer: -2*t**3 - 86*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -269 divided by 1\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/21, 18, 1\/3, -3 in increasing order.\nAnswer: -3, 2\/21, 1\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l. Let v be 2\/15 - (9\/(-18) - (-95)\/150). Let y(p) be the third derivative of 0*p - 7\/24*p**4 + v + 25*p**2 + 0*p**3. Calculate a(y(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2607381 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-5))\/((-3)\/(9\/(-6)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 61 - (3\/(-2))\/((-2)\/(-4)). What is the third derivative of 34*h**5 - h**6 - j*h**5 + 37*h**2 + 42*h**5 wrt h?\nAnswer: -120*h**3 + 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -293560 divided by 36695.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6148.67642 rounded to 0 decimal places?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -188, -393, -598, -803?\n\"Answer: -205*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-7 - -10 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (9 - 1 - (3 + 22 + -18 - -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9964817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -651, -654, -659, -666, -675?\n\"Answer: -z**2 - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4 + 288*z**3 - 20736*z**2.\nAnswer: -z**2*(z - 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 262 and 74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*t**2 - 225*t**3 - 3*t**2 - 24*t**3 - 90 - 26*t**3 wrt t.\nAnswer: -825*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of -l**4\/12 - l**3\/3 + 3*l. Let z be m(2). Let t = z - -5. Which is the biggest value?  (a) 3\/5  (b) t  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*p**2 + 90*p**2 + 7 - 399*p - 4.\nAnswer: -4*p**2 - 399*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 3:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 1, -4, -934 in ascending order.\nAnswer: -934, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*60\/(-500)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6138140.4 nanoseconds to hours.\nAnswer: 0.000001705039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-9) - (-196)\/36. Solve 7*k - f*o = 2*k + 30, -7 = -2*k + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 274 = 5*l. Let u(t) = 229*t**2 - 59*t - 35. What is the remainder when u(-2) is divided by l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 581159818?\nAnswer: 2, 677, 429217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 7*c**4\/4 + 2*c**2 + 4*c + 4. Let m(l) = 235*l - 349*l - 5 - 7*l**3 + 109*l. Calculate -5*d(k) - 4*m(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1650552332 to the power of 1\/3, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6\/5, -3, -0.1765, 2\/3, -0.3, -0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5 = -g, -g - 3*j = -4*j - 9. Solve f = -b - b - g, -2*f - 8 = 2*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.32 + -1.496. Let i = v + -25.824. Sort -1\/7, -3, i in decreasing order.\nAnswer: -1\/7, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71325892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 8 = 3*n - 2*n, -4*a + 20 = -n. Solve 4*c - 14 = -5*o - a, -o - 27 = -5*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 113567\/3 + -37853. Factor 20\/9*a**2 + 2\/9*a**5 + 4\/3*a**4 + 2\/3*a + 0 + q*a**3.\nAnswer: 2*a*(a + 1)**3*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/8 + 1)*2\/10. What is the smallest value in 4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -164 divided by 34376\nAnswer: -41\/8594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 80151904*x**2 - 98567399.\nAnswer: 160303808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/44 and 59\/539.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-21)\/(-36)*-3*-8. Let g be ((-8)\/c)\/(3\/(-42)). Are 7 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 1. Let d be g(5). Let i = 11 + d. Solve 19 = -q - 3*m, 3*q + 32 = m - i*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10\/19 or 1?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 12:52 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*q = 8*p + 8*p - 95*q - 44, -3*q = -8*p + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2050348911 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*c = 8, -j - 5*c = -60 + 17. Calculate the greatest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -j - 3*t - 7, -j = -2*t + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o. Let i(p) = -4*p - 777080. Give i(c(d)).\nAnswer: 8*d - 777080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 1:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1443013341 (base 5) to base 13.\nAnswer: -a59363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 4*y**2 - 5*y + 3. Is 9 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**3 + j**2 + 2*j - 1. Let h be d(0). Are -1\/132 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.012145949 to five decimal places.\nAnswer: -0.01215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -9832 equal to -9811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24005151 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 194357\/258 - -22\/43. Let q = 759 - o. What is the common denominator of (-867)\/(-36) - 14\/56 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 3*j = 2*p + 16, -5*p + 5*j = 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4906, 9794, 14680, 19564, 24446?\n\"Answer: -x**2 + 4891*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31687 * 114.\nAnswer: -3612318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 94*q + 83*q + 13*q + 22*q - q**2 + 3 - 51*q in the form h*q + j + p*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Convert 220.3467km to millimeters.\nAnswer: 220346700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*t**3 + g*t + 5308*g + 97*t**2 wrt t.\nAnswer: 3*g*t**2 + g + 194*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 q, and 1 v when three letters picked without replacement from vodvqvov.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-103715)\/60 - (-6)\/(-27). Let u = d - -1731. Calculate the common denominator of u and -27\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 + 6)\/(-7)*2 + (-15)\/(-6)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = -a + 63. Suppose 4*n + 4 = -5*z + a*z, -5*z + 40 = 5*n. Is 30788\/6 - 9*z\/162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3881.614 seconds?\nAnswer: 3881614000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3470299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 142 + -67. Suppose 2*h = -2*h - 12, -3*s = -5*h - 93. Suppose -s = -179*q + 177*q. What is the remainder when x is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5335758759 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dllf when four letters picked without replacement from dgtldfldgg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of k**5\/4 + k**4\/8 + 2*k**3\/3 - 45*k**2. What is the second derivative of q(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2117 - -2065. Let a = 0.093 + -56.093. Let y = z - a. Sort 2\/3, 2, y in ascending order.\nAnswer: 2\/3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 4*a + 2. Let s(x) be the third derivative of -x**7\/2520 - 9*x**5\/10 - 65*x**2. Let i(o) be the third derivative of s(o). Determine i(d(t)).\nAnswer: -8*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x**2 - 2253*x - 22941. Calculate d(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00066688 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -21. Is 6 a factor of (-228)\/4*(-4)\/(-12)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 13*l - 13. Let j(p) = 7*p - 6. Give -13*j(a) + 6*k(a).\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55041656*x**4 + x**2 - 16106576*x + 1?\nAnswer: 1320999744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 78*j - j**2 + 2*j**2 - 14.\nAnswer: j**2 + 78*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 174299471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 6*x - 4*q + 16, -x - 6 = -5*q. Solve 4*m = x*a + 4, -4*m + 3*a = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -212*f**3 + 1901*f**2 + 166*f - 938. Determine q(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -408, -303, -6, 483, 1164?\n\"Answer: 96*j**2 - 183*j - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -1\/35731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - 8*v - 88. Let y be j(-8). Suppose -3*n - 2*f - 18 = -5*n, -n + 2*f + 13 = 0. Calculate the highest common divisor of y and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 257*p**4 - 413*p**3 + 185*p**2 + 364183221*p wrt p.\nAnswer: 3084*p**2 - 2478*p + 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8359201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 21*h + 111. Let s be j(-21). Sort 4, 3, -2, s in ascending order.\nAnswer: -2, 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/32264 and -117\/20.\nAnswer: 161320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 PM and 4:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 70848 divided by 2\nAnswer: 35424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2032074 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b + 3. Let o(j) = 7681*j**3 + 2875*j**2 + 6*j - 18. Let m(i) = 6*n(i) + o(i). What is the third derivative of m(d) wrt d?\nAnswer: 46086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4464 and 6.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144349, 288089, 431829, 575569?\nAnswer: 719309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*p = 18*p + 153*p - 18242926. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.15 + 3.85. Which is the fourth biggest value?  (a) -2\/9  (b) 1\/6  (c) v  (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 15 - 29 + 23*k**2 + 5 + 6 in the form o*k**2 + y*k + f and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 1111.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r = -21*r + 43890. Suppose -p = -39*p + r. Is 104 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 338 + -318. What is the highest common factor of 80 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 11:51 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11730892 is divided by 12991.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 6 = -8. Which is greater: 2\/11 or t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 621.7972l in millilitres?\nAnswer: 621797.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1212 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.6, 105538, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157613553?\nAnswer: 3, 41, 173, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from thjlhettweeetth. Give prob of sequence ehw.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24178 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - 2. Calculate s(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*h**(-3\/11)*h*h)\/h*(h*h**(2\/7))\/h)**(-50))**(-11) assuming h is positive.\nAnswer: h**(11600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000027895 to seven decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13 - ((11 - 9) + -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y - 7. Let d = 54 - 59. Let z = -3 + 9. Let b(p) = 11 + 9*p - z*p + 2*p. What is d*b(n) - 8*a(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 584 = -5*n, 5*n = n - q + 468. Let t = n + -107. Let k(w) = -3 + 2*w**2 - w**3 + 0*w**3 + 7*w**2. Determine k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 7*r. Let z = -3 + 1. Let u(f) = 3*f + 5. Let n be u(z). What is g(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + (15 - 4) + 1 + -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from ioszovs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-20)\/12) + 255\/630?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2133.15 - -2134.39003. Let z = x - 1.24. Round z to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 7. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9777190 divided by -2.\nAnswer: 4888595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**4 + 2*q**4 + 1 + 0*q**4 + (-5*q**3 + 3*q**3 + 4*q**3)*(-q - q + 0*q) to the form j*q**3 + v*q**4 + x*q + i*q**2 + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uquwxuugxwuywuxxyy. Give prob of sequence uqy.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**3*f\/(f\/f**(1\/2))*f)\/((f\/(f\/(f*f**5*f)))\/f*f**(2\/5)))\/(f**(2\/7))**(9\/7) assuming f is positive.\nAnswer: f**(-3561\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113213 + -24?\nAnswer: 113134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.6 + -2.4. Let h = -28.9 - -26. Let p = h - 1.1. Which is the nearest to 11?  (a) p  (b) v  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 112, -62, 3, -3 in descending order.\nAnswer: 112, 3, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uaq when three letters picked without replacement from farqrfu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 674*v - 4368 = 670*v. Calculate the remainder when v is divided by 183.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*m + 318 = 622 + 1768 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 PM and 7:58 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 321889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55 - 51.3. Let v = 0.7 - d. Let r = -3.00015 - v. What is r rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7219.3 + 7219. Which is the closest to 2?  (a) f  (b) 0.5  (c) -0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w + 2*w + 4*h - 42, 4*w - 29 = 3*h. Suppose 2*x - 3*x = -w. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -17*x**5\/12 - x**4\/24 + 829*x**3\/3 - 193*x**2. What is the second derivative of i(k) wrt k?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18*5\/(-180)*(-1)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(6*6\/(-24)))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b\/b**2))**26 assuming b is positive.\nAnswer: b**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is dd (base 16) in base 13?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 91 = -2*q, -3*n = -2*q - 2*q - 115. Let t be (7 - -13)\/((-31)\/n + 1). Is t less than 330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 29 + 44, 0 = -3*i + 4*r + 12. Let k(v) = -5*v + 3. What is the lowest common multiple of k(-5) and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 4. Suppose 5*k - 3*v - 21 = o, 3*k - v - 7 = 8. Suppose -u - 80 = -k*u. What is the remainder when 46 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-129)\/(-15) + (-9)\/15. Suppose -6 = d - u. Solve 4 + 6 = d*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 10:50 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21928191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, q: 1, c: 3, j: 1}. Give prob of picking 1 j and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1 + sqrt(320))**2 - sqrt(10)\/(sqrt(12)\/sqrt(6))).\nAnswer: 75*sqrt(5) + 1605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**3 + 4*g**2 + 4*g + 592. Let s(y) = -3*y**3 + 10*y**2 + 10*y + 1185. Calculate -2*s(o) + 5*u(o).\nAnswer: -4*o**3 + 590","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 497130392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -521.1 and 0.3.\nAnswer: -520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3645)\/(-648)*32\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-12))\/((-37)\/74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3\/40 - 7\/40. Let z = -3.99 + -0.01. Let t = -7 - z. Which is the nearest to h?  (a) 0.3  (b) -2\/5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 16*s**2 + 10585*s + 31752. What is d(-3)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -16, 2\/3, -2\/5, 4\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 32. What is the first derivative of 9*d + 11*d + 16*d - t - 8*d wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 1:47 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*x**2 - 5*x**2 + 4*x**2)*(4 + 0 - 5)*(x - 5*x + x) - 126830*x + 126830*x - 54*x**3 in the form m*x**2 + q*x + u + a*x**3 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 6*q**2 - 4*q + 17. Calculate the remainder when 484 is divided by k(4).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11721558*v**2 + 9140242*v.\nAnswer: -23443116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 divided by 2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f - 10*f + 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -293807*z + 8814205. Give h(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*f + 909*f**4 - 721 - 650 + 4*f - 72*f**4 wrt f?\nAnswer: 3348*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 10.21. Let l = g - 0.19. What is the second smallest value in l, 1, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + (2*-2)\/(-1). Suppose -3*o + 90 = -2*n, b*n + 54 = 2*o - 8. Suppose 26 + o = 2*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6, 1\/7, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-3 - -3)*1. Suppose q = 4*h - 6*h, -4 = -4*w + h. Let v(d) = 1. Let m(s) = s + 3. Determine w*m(o) + v(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 3*x**2 - 1 + 0 + 5*x - 2*x**2 + x**3 + 2*x. Let q be c(-5). Let s = -88 - q. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 13130 = 450. What are the prime factors of g\/98 - (-2)\/7?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15359 is divided by 7662?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 670577.\nAnswer: -3352885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -38*i + 41*i + 5*b, -4*b = 3*i - 31 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 803 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -71 in -0.2, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b + 4. What is the remainder when k(-5) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 967*w**3 - 2*w**2 + 61*w**2 - 966*w**3.\nAnswer: w**3 + 59*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 6:55 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 183 + -187. Let w be (-6)\/q*(-8)\/(-6). Solve w*p + 0*p = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 3*i. Let t be f(-3). Suppose 5*a + 0*a - z - 14 = t, 0 = 4*a - 5*z - 28. Solve a*l - 17 = -l + 4*v, -3*v = 5*l + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((-2 + sqrt(80))**2 - sqrt(80)) + 5*(3 + sqrt(5)) - (1*sqrt(605)*4 - sqrt(605))**2*-6).\nAnswer: -15*sqrt(5) + 32772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238 = l - 18*l. Suppose 0 = 3*x - 29 - 49. Calculate the smallest common multiple of x and l.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -c + 4*p + 35983, 0 = c - p - 7196. What are the prime factors of c?\nAnswer: 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 213 + -105. Let v = 176 - x. Suppose -3*n = -l - 55, 0 = -3*n + 2*l + v - 12. What is the highest common factor of 12 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 12. Suppose -4*k + 0*x + 204 = 4*x, -v*k + x + 279 = 0. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 9:51 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, -3, 0.64, -164, 4, -0.1 in decreasing order.\nAnswer: 4, 3\/4, 0.64, -0.1, -3, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1210 (base 5) to base 7.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/6 - (-21)\/6. Suppose -n*q - 2*q = 0. Suppose q = -z + 4*f + 15, 2*z + 2*z = 5*f + 60. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.29 and -6.506.\nAnswer: -14.89874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k**4 - 252*k**3 + 676*k**2 - 144*k - 272 = 0. What is k?\nAnswer: -34, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/25844399?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -697104 by 6.\nAnswer: -116184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of ((-18630)\/360)\/((-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 8*m**2 - 13*m - 5. Is f(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-45)\/(-75))\/(1\/(15\/21)). What is the third biggest value in l, -1\/4, 19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59388049?\nAnswer: 7, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjaasaa. What is prob of sequence jasa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1676804 and -0.069.\nAnswer: 1676803.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-128)\/(-120)*-1)\/((-11)\/(-33)).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = 3*v - 16, -5 = -5*r - 3*v + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.98 rounded to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -53968\/2443 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 7*k - 63. Let u be p(9). Suppose u = 2*x + 472 - 7998. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -c**7\/420 + c**6\/40 - 13*c**5\/120 + c**4\/4 - c**3\/3 + c**2 + 2. Let b(g) be the second derivative of v(g). Factor b(o).\nAnswer: -(o - 2)**2*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68 + 3*n**2 + 0*n**2 + 91852*n + 67.\nAnswer: 3*n**2 + 91852*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1002694, -1002695, -1002696, -1002697?\nAnswer: -1002698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus -0.2861477?\nAnswer: 0.7138523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.17, 12, 1, 4, 1\/7 in decreasing order.\nAnswer: 12, 4, 1, 0.17, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28 and 1144?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2*y - 11 = 0, 4*j + 3*y = 2*j. Let b be 3 + (j - 2 - -1). Let g(w) = -w**3 + 6*w**2 - 4*w - 5. Determine g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 280 + -279.4. What is the fourth biggest value in t, -1\/6, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = 7*c - 13. Let w(x) = 2*x**2 + 4*x - 2. Let r be w(c). Suppose -r = -4*v + 2*n, n + 5 = 5*v - 14. Sort -4, -3\/7, v in decreasing order.\nAnswer: v, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 26*u. Let s(x) = 9*x**2 + 5*x - 5. Let b(q) = -11*q**2 - 6*q + 6. Let w(m) = 5*b(m) + 6*s(m). Give w(z(k)).\nAnswer: -676*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 68*t**3 + 16*t. Let b = -19 + 22. Let s(w) = -69*w**3 - 17*w. Let d(o) = b*m(o) + 4*s(o). What is the second derivative of d(j) wrt j?\nAnswer: -432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -335105+91331.3\nAnswer: -243773.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 15, 73 in increasing order.\nAnswer: 3, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.1 - 0.3. Let s = -27.4 + r. Round s to zero decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2031 + 43?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/2)\/((-2)\/6). What is the highest common factor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m - 4\/3*m**2 - 8\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.772 - -0.148. Let x = g - -0.08. Let k = 2 + x. Which is the nearest to -0.1?  (a) k  (b) 0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-4)\/6 + (1 - (-1270)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o. Let v(d) = -1927*d - 1686*d + 3428*d. What is v(r(s))?\nAnswer: -555*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101010000010 (base 2) to base 13.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 14) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 9*y**5 + 9*y**4 + 21*y**3 + 21*y + 21. Let d = -42 - -63. Let q(w) = -w**5 - w**4 - 2*w**3 - 2*w - 2. Let j(m) = d*q(m) + 2*h(m). Factor j(o).\nAnswer: -3*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91658.92 rounded to the nearest one hundred?\nAnswer: 91700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 523.961 kilometers to millimeters.\nAnswer: 523961000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31 - 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46325.277 or -3?\nAnswer: -46325.277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 363643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 6. Let n be (12\/10)\/(i - 259\/70). Solve -b + 2*l = -12, -5*b - n*l = -b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of s**2 + 27470*s + 12806?\nAnswer: 2*s + 27470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -2, 4, 0, 2.5, -83, 5?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2033264 is divided by 677753.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 389 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c**2 - 2*c - 2. Let t be y(-4). Let f be t\/4*96\/(-20). Let o = f + 584\/7. Sort o, 1, 1\/2.\nAnswer: o, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 times -17?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 3, -57*f = 2*t - 54*f - 25. Let v be 3 - (3 - 2)*4. Let k be v\/((-2)\/30) - 1. What is the greatest common factor of t and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hbbhhiubdd. Give prob of picking 1 d and 3 h.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2448 - 2451. Let j(n) = -8 - 6*n + 1 + 1. Give j(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppykypukphhphpa. Give prob of picking 2 y and 1 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.689 rounded to one dp?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 119297 divided by 1828\nAnswer: 119297\/1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 7*n - 1. Suppose 0 = 3*v - 27 + 6. Let p = v - 5. Calculate a(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 PM and 1:50 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3586809 is divided by 174.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2. Let u(y) be the first derivative of -y**4\/12 - 3*y - 3. Let o(g) be the first derivative of u(g). Calculate s(o(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d - 14. Suppose 2*b - 44 = -5*t - b, -3*b = 6. Let i be v(t). Suppose -i + 66 = 4*j. What is the highest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/11, -0.2, -1\/3, 1 in descending order.\nAnswer: 1, 4\/11, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16326 and 14526.\nAnswer: 13175082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n**2 + n - n)*(-11 + 11 + 9*n) + 0*n**3 + 3*n**3 - 32*n + 33*n - 21*n**2.\nAnswer: -42*n**3 - 21*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*w - 17*w - k + 1035, w - 207 = -k. Calculate the remainder when w is divided by 91.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00029649 to six dps.\nAnswer: -0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 2*u**2 - 3*u - 3. Let f be d(-2). Factor n**f + n**3 - n**3 + 2*n**4 - 3*n**4.\nAnswer: -n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 400 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -51826 at most as big as -51695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yqtzyztzqztbzbttyzzy. What is prob of sequence tbyt?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1116786?\nAnswer: 2, 3, 11, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + sqrt(7))*6 - ((sqrt(35) - sqrt(70)\/sqrt(2))\/sqrt(5) + sqrt(7) - sqrt(378)\/sqrt(6)).\nAnswer: 36 + 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(171)*-2 - sqrt(171) - sqrt(171))\/sqrt(3))\/(sqrt(9)\/(sqrt(3) - sqrt(27)) - (1*sqrt(33))\/sqrt(11)).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (54 + -3 - 14) + (-2 - -7)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8959176 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.9 + -2.5. Let p = -1.4 + j. Sort 1, p, 3 in descending order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, 0.3, 14, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**2 - 48*s + 27. Let k be d(-16). Let x = k - 21. Solve 3*q = -2*i - 3, -x = 3*i + 4*q - q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/30 + 107\/15. Suppose -k*g + 4*g + 60 = 0. What is the highest common divisor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90 + 31*d - 11*d - 363*d**2 - 22*d wrt d.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 13*u**2. Let b be 13*(-6)\/(1 - 7). Let p(f) = -25*f + 33*f - b*f - 12*f. Determine p(m(s)).\nAnswer: -221*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + b + 11702, 19*d - 10*d - 26319 = -3*b. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 244865.1 months to decades.\nAnswer: 2040.5425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13.45, 398, 114 in descending order.\nAnswer: 398, 114, -13.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -594*s + 30. Let y(z) = -298*z + 12. Determine 4*b(g) - 10*y(g).\nAnswer: 604*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - 5*v**2 - 9*v - 41. Let n be g(-5). Solve -m - 3*r - 7 = 3, -4*r = -n*m + 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28.1 - 22.78. Let u = c - 5.4. What is u rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -202186445.5 rounded to the nearest one million?\nAnswer: -202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**3 - 3*h**3 + h**3)*(-113*h + 358*h - 255*h).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 + 49.5. Put x, 0.3, 2\/9, 0.11 in descending order.\nAnswer: x, 0.3, 2\/9, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + (2 - 1) + (3 - 4). Suppose -16*h = -b*h - 7631. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 5*o + 7. Let p(u) = u + 1. Let y = 314 - 289. Suppose 5*t + 5*v = -y, -2*t + 3*v - 5 = -0. Calculate t*p(k) + w(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 3\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 55 + 131?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2681, 2690, 2711, 2750, 2813?\n\"Answer: y**3 + 2*y + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of -5\/7*f**2 + 8\/35*f**5 + 2 - 2\/7*f**3 + 5\/14*f**4 - 2\/7*f. Let l(t) = 0. What is t?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a + 580 = 32*a. Determine p, given that 28*p**3 + p + 62*p**2 - 98*p**2 - 4*p**4 - a*p + 40 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + (3*-3)\/3. Let o be (-18)\/(-4)*1\/(-6). Put 3, y, o in decreasing order.\nAnswer: y, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 357251 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7222685409 + -45?\nAnswer: 7222685364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 26*u - 23*u. Let m(q) = 2*q**3 + 15*q**2 + 16*q - 6. Let n(d) = d**3 + 8*d**2 + 9*d - 3. Let h(s) = 3*m(s) - 5*n(s). What is h(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n - 4. Let g be z(10). Let i = g + -75\/2. Sort -1, 2, i in descending order.\nAnswer: 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11808 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 2. Suppose -u + 5*s = -5*u - 3415, l = s. What is u rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 6:34 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10735\/444 - 8\/111. Calculate the common denominator of 3\/5 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - -4. What is the greatest common factor of 35 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 9:12 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 143 + (-12168)\/(-27 - -105)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -203 - -1027\/5. Let r = 0 - 0.1. Is r at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11659812643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-130)\/(-15))\/((-2)\/(-771)). Suppose 119*y = 106*y + u. List the prime factors of y.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.47, -14, 7 in decreasing order.\nAnswer: 7, -0.47, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ge when two letters picked without replacement from aggkgegkw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.811 + 0.189. Is -17 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -9*w. Solve 2*q + 1 - 5 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -120, -250, -380, -510, -640?\n\"Answer: -130*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 13 = 2*r, 0 = -4*a - 24*r + 22*r + 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 131070183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/25 + 0)*1003. Let h = t + -200. Factor -h - 3\/5*m**3 + 3\/5*m + 3\/5*m**2.\nAnswer: -3*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -13. Suppose -6 = 2*k + n*f - 49, -26 = -k + 2*f. Calculate the remainder when 50 is divided by (59 + -2)\/(k\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4536 divided by 7?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, z: 13, x: 4}. What is prob of sequence fzx?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, -55, -3, -4 in decreasing order.\nAnswer: 3, -3, -4, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -u - 4*u + 240, -3*u + 4*y = -130. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102 (base 5) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - -44. Let d = 86 - k. Calculate the greatest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*s - 42*s - 36*s + 104*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 12*n + 90 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -5*a**2 + 136760*a - 132140235 = 0.\nAnswer: 1003, 26349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30 - -31. Let p(w) = -4*w + 1. Let s be p(-1). Which is the nearest to l?  (a) 1\/6  (b) 0.2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5084112.\nAnswer: 2, 3, 11, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23531 (base 6) to base 2.\nAnswer: 110101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11439 - -11440. Let n = 13\/5 - 11\/5. Which is the third smallest value?  (a) n  (b) i  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 346  (b) -2.3  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -289 - -120. Let t = -182.4 - j. What is t rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.02 + 0.62. Let i = -1.6 + v. What is the nearest to 0 in -3\/2, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -34, 18315, 54\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 12715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*w + w - 4*w + 8*w**4 - 36*w**4 - 37 wrt w?\nAnswer: -112*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000000110001 (base 2) in base 14?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 106\/(-265)*(-2400)\/(-528)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from tntnpnn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -6. Let r = 0.13 - -0.07. Which is the second smallest value?  (a) r  (b) -0.4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/45 + (-122)\/(-18). Suppose 6*g = c*g - 2. Suppose 4*j + 12 = 5*x + 40, 3*x + 16 = g*j. 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 a(f) = 214*f + 5. Let p be a(-1). Let k = -197 - p. What is the smallest common multiple of k and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 564, 1625, 3208, 5319?\nAnswer: 7964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 6) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence upb when three letters picked without replacement from {o: 3, b: 1, p: 5, u: 11}.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + sqrt(2) - (-2*sqrt(8))\/sqrt(4).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 1273768  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 8:35 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -890*j + 72 = -914*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 5. Let q be (v\/14)\/(1\/12). Let a be q*(-3)\/6 - 0. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 40\/19?  (a) 5\/4  (b) -4  (c) 69  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.4087333 months?\nAnswer: 0.000200727775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 9*k + 402. Let j be w(-45). Let a be 19\/(-3) - (-2)\/6. Is (-16)\/a - j\/9 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -15*((-20)\/15)\/1 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -3, -2\/15, -0.071, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 10*d**2 - 3*d + 8. Let a be n(-10). Does 10 divide (4 - 15\/3) + a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - ((-700)\/25 + 36))*1\/5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-4) + (-42)\/(-12). Calculate the common denominator of (-566)\/(-60) + 2\/x and -42\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*i + 31*i + 62*i - 31*i.\nAnswer: 105*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (0 - 3) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 65 + -62. Let h = 0.08 - -3.92. Let c = 0 - -0.2. What is the nearest to 0.2 in w, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 259\/1035901 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 3*n - 141. Suppose -2*w + 131 = 5*c, -2*c + 552*w = 551*w - 38. What is the remainder when n is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-2\/25)*(w\/w**(16\/9)*w)\/w*(w**(-3\/11)*w)\/(w*w*w\/w**(-34)*w) assuming w is positive.\nAnswer: w**(-91898\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3.394 * -11\nAnswer: 37.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 32*o**2 + o - 79828 + 153*o**2 + 79742 wrt o.\nAnswer: 370*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n + 7*n**2 + 2*n + 5*n**2 - 6*n**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 43*d**2 + 141*d - 411. Is k(37) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.02 + 1.1. Let y = p - -0.02. What is the second biggest value in y, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -39. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 182693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -377, -263, -73, 193, 535, 953?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-175))\/(32\/240)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 6 = 3*d, -w - 8 = -4*d. Let h be w*(2 + 1)*12\/36. Which is the closest to 1?  (a) -2  (b) h  (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 18*u. Suppose -5*o - 4*p = -3*p - 50, 5*p = 0. Let l(i) = 2*i + o*i - 10*i. What is g(l(q))?\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76\/(-12) + 4 + 1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 7*b**2 - 4*b + 5. Let r = -6 - -11. Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10.1 + 10. Let s be (2 - -4*1)*5. Let n be ((-2)\/s)\/(3\/(-27)). What is the nearest to -1 in v, -2\/15, n?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2817 - 1?\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 207 and 46414023.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q + 2*l - 200 = 0, 5*q + 101*l - 81 = 105*l for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1892 is divided by 82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 39 = 0, w = -0*w - 2*y + 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/2245 and -54\/7?\nAnswer: 15715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, -4, 828, 0 in descending order.\nAnswer: 828, 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7522 and 65900242.\nAnswer: 7522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -2 - 0) + -3. Let x be (-1)\/1 - m\/5. Let u be (1\/(-3)*x)\/(-1). Solve -3*t + 0*t + 6 = u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143379?\nAnswer: 3, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 13) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1154056 divided by -5?\nAnswer: 1154056\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*z - 67 = z, -5*w = 2*z - 167. Suppose -m + 9 = -2*m. Let g = m + w. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 - 169*x**3 + 170*x**2.\nAnswer: -x**2*(x - 1)*(x + 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*p + 2. Let m(l) = -8*l**2 - 1. Let j be m(-1). What is the remainder when (-66)\/p*12\/j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 580.8189 tonnes to grams.\nAnswer: 580818900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p - 1. Let o(j) = -7*j - 153 - 153 + 304 - 2*j**2. Give 6*n(d) - o(d).\nAnswer: 2*d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7116 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 2  (b) -2\/15  (c) -0.4  (d) 5  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -171, -115, -59, -3?\n\"Answer: 56*f - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -11, 0, -1681, -4, 15, -5 in decreasing order.\nAnswer: 15, 0, -2, -4, -5, -11, -1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 11 + 3 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5778292 - -208036855\/36. Let m = p + -2055\/4. Find the common denominator of (-1)\/(-2) + 4505\/(-340) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10252 + 16048. List the prime factors of k.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -15 + 19. Let x = -1 - -5. Put x, 13, t in increasing order.\nAnswer: t, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2 - -95)*(-1 + 3 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, 28174, -4 in decreasing order.\nAnswer: 28174, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10261462877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*t)*(-10665*t - 3324*t - 468*t - 8589*t - 2659*t).\nAnswer: 51410*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 9*b**3 - 2*b**2 + 3*b. Give m(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5*k + 50 = -0*k, -45 = -5*j - 4*k. Suppose 0 = j*o - 6*o. Suppose -4*g + 882 = -2*c - o*c, 0 = 3*g + 5*c - 694. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -191*n - 897*n - 1421*n in the form l*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(-2 + (-15)\/(-6)). Suppose -3*k + a = -11. Suppose -k*q + 50 - 1792 = -5*t, t = -3*q + 356. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.92 + 298\nAnswer: 297.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y - 3*y + 3*y)*(19*y - 25*y + 8*y + 123)*(-3 - 2 + 3) as v*y + b + m*y**2 and give v.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/2 or -5050?\nAnswer: -5050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d + 12*d + 4*d to t + i*d and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 112*g + 89*g - 50*g to z*g + s and give z.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -327601 - -327604. Factor -6\/11*i**v - 18\/11*i**4 + 10\/11*i**2 + 0 - 2\/11*i.\nAnswer: -2*i*(i + 1)*(3*i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15889390 by 9962.\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-180)\/(-6 + -6) - 10. Solve 3*k + 3*z - 19 = k, -u*k + 4*z = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 0)\/((-9)\/(-27))*46\/(-46). Let b(j) be the second derivative of -29*j + 5\/2*j**z + 0 + 25*j**2 - 5\/12*j**4. Factor b(h).\nAnswer: -5*(h - 5)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*c - 24*c + 1350. Let h = c + -120. What is the nearest to 0.2 in 3, h, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2*c - 2 + (2*c - 3*c + 0*c)*(-2 - 2 + 6) + 4*c + 97*c + 157*c to x*c + t and give x.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 3:51 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9725288.73 rounded to the nearest 100000?\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 4795639\/73 = 65695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/4))**(-1\/2)*((i**(1\/10)*i)\/i)\/i**(-2\/7))**(-27) assuming i is positive.\nAnswer: i**(-5751\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12998 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*p + 78 = 0. Let t = 10 - -3. Calculate the highest common divisor of t and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l - 1. Let v = 38 - 34. Let s = -5 - -10. Let z(a) = 10*a - 2. Let g(j) = -5*j + 1. Let i(h) = 5*g(h) + 2*z(h). Calculate s*i(y) + v*b(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 9\/4 + (-220)\/(-528). Put -3\/8, s, 123 in decreasing order.\nAnswer: 123, s, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i**2*m**3 - i**2*m**2 + 22*i - 80*m**3 wrt i.\nAnswer: -2*i*m**3 - 2*i*m**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -148?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -147965 divided by 5?\nAnswer: -29593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8875021 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5508672 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*f + 875 = 0. What is the remainder when 10 is divided by f\/49 + (-6)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 21 - 51. Suppose 345 = f*b - 13*b. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -160319*g*n*u**3 + 26*g*n*u**2 - n*u**5 - 3*n*u**3 - 2*n*u**2 - 174683*n wrt u?\nAnswer: -961914*g*n - 60*n*u**2 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**2 + 166*z - 17*z + 1 + 0*z**2 as b*z**2 + j*z + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -42 and 606.25.\nAnswer: 564.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2 - 249*y**3 + 108*y**3 - 3 + 103*y**3. Give i(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004655 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -2413b?\nAnswer: -24137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 13*x**2 - 14*x + 28. Let j be u(12). Which is the smallest value?  (a) 0  (b) j  (c) 0.5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/20502415 and 14\/24434385?\nAnswer: 1783710105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 (base 15) in base 4?\nAnswer: 11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 61.\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*y**3 - 27 + 14 + 32*y**3.\nAnswer: y**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8862 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11045130023850 + -29.\nAnswer: -11045130023879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 - 4*n - 2. Let y(j) = -j. Determine x(r) + 2*y(r).\nAnswer: -2*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 618052 and 2251?\nAnswer: 615801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + -4)*(-1)\/3*2. Let n be 11 - ((-4)\/(-2) - 1). Suppose 2 + n = y*m. Solve -2*v - 4*c = -4*v, 0 = 2*v - m*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 370*n**2 - 416*n**2 + 488*n**2 - 1418*n**2 + (0*n - 3*n + 2*n)*(4*n - 6*n + 4*n) - 4*n**2 + 3*n**2 + 2*n**2 to the form k*n + r*n**2 + w and give r.\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539)*1 + 2)*2 + (-3*(sqrt(1539) + 1) - (-5 + (sqrt(1539) - (sqrt(1539) + 1)) + sqrt(1539))))**2.\nAnswer: -252*sqrt(19) + 6205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 62*p**3 + 3*p**2 - 2. Let i be r(1). Suppose 2*a + i = -a. Let u be (-280)\/a*(-186)\/(-8). What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*b**2 - 16*b**2 + 0*b**2 + 8*b**2 to the form j + z*b + q*b**2 and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r*r**(-20)*r**11*(r\/r**(7\/2))**16 assuming r is positive.\nAnswer: r**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*k**2*u**4 + k**2*u**2 + 33*k*u**4 + 385*k*u**2 - 12*u**4 + 2*u**2 wrt u.\nAnswer: -48*k**2*u + 792*k*u - 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 4*d - 47, -226*b + 222*b + 20 = -d. Solve -4*l + b - 12 = 3*s, 5*s + 15 = -4*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 155137813 to the nearest integer?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 11. Suppose h - 2*n = -v*n + 14, n = h + 6. What is the closest to h in -0.1, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1317143 (base 12) to base 3.\nAnswer: -21002022022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1063 + 1065. Solve 13 = v + 4*a - 10, -h*a = 2*v - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3385615 and 39950257?\nAnswer: 199751285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2331005 (base 6) to base 12.\nAnswer: -59a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d + d - 1 - 7 + 4*d**2 - 4*d**3. Let z be g(-6). Is z\/14 + (-6)\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.7 - 1.6. Let k be (-6)\/4*24\/(-144). Let h = 0 - 0.2. Sort n, k, h in decreasing order.\nAnswer: k, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 + 415382?\nAnswer: 415367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2793\/(-2394)*(-5)\/(-14)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12785, 199, -4 in ascending order.\nAnswer: -12785, -4, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 1 + -10 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**4 - 40796*m**3 - 122370*m**2 + 8*m + 163160 = 0. What is m?\nAnswer: -20395, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -199 and -5?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -153 times 0.116\nAnswer: -17.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*i = 7*i + 3366. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u. Let m(d) be the second derivative of d**4\/2 - 3*d. Determine m(c(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u = -201192 - 72542. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138455706 to the power of 1\/3, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 37\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**3\/6 - x**2\/2 - 3*x. Let t be v(-4). Find the second derivative of t*l**4 - 4*l**3 - 3*l + 4*l**3 wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**2 + 29*v - 9. Let j be w(14). Suppose h - 619 = 5*d - 2458, 2*d - 731 = j*h. Calculate the highest common factor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14312640*a**2*m - 31*a*m - 3*a + 1075*m - 3 wrt a.\nAnswer: 28625280*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 + 307. Let p = -202 + c. What is the highest common factor of 56 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*k + 45*k - 300 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1522427961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2890 = 3*u - 2889, -u + 9 = 3*f. Solve -2*p - f*j - 20 = 0, p + 2*j = 3*j - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + -14. Find the second derivative of 2*w + 0*w + 2*w - w**m + 0*w**5 wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-14))\/((-405)\/3780)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 - -54.42. Let x = q - 0.52. Which is the nearest to x?  (a) 0.2  (b) -4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1064407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77398923 is divided by 10302?\nAnswer: 10299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 25\/492, -2\/113.\nAnswer: -1, -2\/113, 25\/492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/4 + 51*o**3\/4 - 135*o**2\/4 - 427*o\/4 - 60.\nAnswer: -(o - 48)*(o - 5)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-6))\/((-2)\/(-4)). Let h = 17 - 21. What is the closest to f in h, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7089 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -145274 divided by -72637?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*o + 414 + 1144 = -575 - 98 for o.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207743?\nAnswer: 207743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(((u**(-2\/7)\/u*u)\/u)\/u))**6*u*u**(-11)*(u\/u**(-1\/9))\/u assuming u is positive.\nAnswer: u**(619\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 437*t**2 - 188*t**2 - 121*t**2 + 3*t**3 - 128*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.284 and 0.3.\nAnswer: 0.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -42, -4\/373, -3\/7, -2\/5, 3\/4?\nAnswer: -4\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.0037 and -3.7.\nAnswer: 7.41369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5745105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -171*a + 856 + 854 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 330 = i + 4*i, 0 = -60*i - 15*i - 3*m + 4635 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 130708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -13\/70, -0.1, 1\/3, -10.18, 2, 1\/5?\nAnswer: -13\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 11:31 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1183 is divided by 394.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = -6, 13*d - 2*y = 17*d - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 189\/81*36\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (4 - (5 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -60 + 62. Solve -5*x = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-130)\/(-195))\/((-3)\/6)*-18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*j - 2*s - 143, -11 = 5*s - 21. What is the remainder when 229 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.3, -23, -2, 5, -0.03, 0.5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**3*(((o*o**(-1\/7)*o)\/o)\/o)\/o)**(-1))**(1\/11) assuming o is positive.\nAnswer: o**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91)*-1))))\/(sqrt(560)\/sqrt(5)) - -4*(0 + sqrt(1053))*-5)**2.\nAnswer: 1675453\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 233683361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8092945 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 3) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1055 and -1066 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2389583023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15020 (base 7) in base 3?\nAnswer: -12122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(0*x - x + 0*x) - 19*x + 14*x + 29*x + x - 4*x + 4*x + 2*x - 2 + 2 + x + x + 0*x + (2 - 2 - 1)*(-3*x + 0*x + 4*x) + 2 - 2 + x - 1 - x + 1.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2945 is divided by 121.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 120323\/15 + -8018. Calculate the common denominator of (6\/27)\/((-4)\/87) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 - 3.8. Let r = 740\/9 - 8134\/99. What is the nearest to 1 in w, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 4 = -5*n - 11*n + 17*n, -40 = 10*c - 2*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 + 6*f**3 - 424459677 + 424459677.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1061232 = -36*v + 84*v. Is v 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 xxxxcccchhxxxciecce. Give prob of sequence xxh.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + 3 + sqrt(50)*5 + sqrt(50) + ((sqrt(50) - sqrt(200)) + -4)**2)*-6*-6*6*-3.\nAnswer: -48600*sqrt(2) - 44712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - a + 2. Let b be w(-2). Let k = -999 + 4053\/4. Calculate the common denominator of k and b + 1 + 5\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0195034733 rounded to four dps?\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yhyhhhhhhm. Give prob of sequence hyhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 3, 1, -4, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348 is divided by 116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 198346566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317 (base 11) to base 5.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/((-1764)\/(-160)) + 9*(-5)\/10?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.1 in 0.1, -0.2, -7, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 3*z**3 - 2*z**2 - 2*z - 2. Let y be 66\/11 - 0 - 4. Let w(m) = -4*m**3 + 3*m**2 + 3*m + 3. Suppose 3*s - 5 - 4 = 0. Calculate s*d(v) + y*w(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39783 and 137505.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, p: 8, x: 1, j: 3, l: 4}. What is prob of sequence jlj?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -26 + 42. Let b(l) = 5 - 4 - 4 - 1 + i*l. Give b(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -968*w**2. Let n(o) = 7*o - 102. Let d(i) = -6*i + 85. Let a(u) = -6*d(u) - 5*n(u). What is y(a(m))?\nAnswer: -968*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4775917*i**2*p + 4*i*p - i + 2*p - 138108 wrt i?\nAnswer: 9551834*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 1 + 4*f - 5*f + 10*f + 8*f. Let m be (-24)\/16 + 5\/2. What is x(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 7. Suppose 3*k + 0*k + 3*g = 3, -3*k + g = -15. Let u(x) = -5*x + 1. Let m(h) = 6*h - 2. Determine k*u(v) + z*m(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5250171, 10500340, 15750511, 21000684, 26250859?\nAnswer: 31501036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5300, -41063, -138144, -327203, -638900?\n\"Answer: -5110*w**3 + w**2 + 4*w - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, v: 3, z: 5}. Give prob of picking 1 u and 3 v.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -16235*n - 161. Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7870 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/164934 and 82\/231?\nAnswer: 164934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01416 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 - -13.8. What is the smallest value in l, 0.5, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -0.3, -3\/4, 0.4, -5846\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 59 + -23. Let j = g - 12. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/6  (b) -4  (c) -16  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -36430 divided by -7286\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*d + 103 - 211. Solve -13*z + d*z = 0, z - 16 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2363890541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 2. Let n be (27\/18)\/((-3)\/8). Let x be j(n). Let h(t) = -t**3 + 7*t**2 - 2*t + 6. What are the prime factors of h(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207*m + 264980 = 4*o + 211*m, -4*o - 12*m = -264980. What are the prime factors of o?\nAnswer: 5, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 516 - 262 - 256 + 7*v**2 - 20*v**3 in the form f*v + n*v**3 + s*v**2 + r and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -139 + 237. Suppose 5*v - s = 162. Is (v - 16)\/((-2)\/(-1)*1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(15)\/sqrt(3))**2 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 4. Let r(s) = -s + 0 - 2 - 118*s**3 + s**2 + p. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -4, 2\/5, 2.3, 1\/2, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -418 + 338. Sort 0, -3\/2, d in ascending order.\nAnswer: d, -3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6236 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of -s**4\/6 + s**2\/2 - 2*s. What is h(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1509158 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t**2 + 12*t - 18. Let y(l) = -l**2 - l + 1. Let m(j) = -x(j) - 3*y(j). Is m(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -19b1 - 635?\nAnswer: -2426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**4 + b**3 + b**2 - b. Let g(n) = 30*n**5 + 3*n**4 - 2*n**3 - 23*n**2 + 2*n. Let u(s) = g(s) + 2*o(s). Find the third derivative of u(d) wrt d.\nAnswer: 1800*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 9*l**2 - 16024*l + 348166. Calculate x(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-1 - (2 + -5)). Suppose 4*d = 5*n - 4938, -i*n + 2753 = 4*d - 1219. Let l = n - 703. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*w + 4170 = -78*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y + 2*y - 1 - y + 3*y - 24. What is s(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22034824 divided by 28.\nAnswer: -786958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, o: 5, c: 2, i: 6, a: 3}. What is prob of sequence sas?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 22*l - 30. Let k be r(4). Suppose -28 = k*h - 62*h. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1648 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from yywyvdvycw.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.43 + 0.03. Let m = -0.6 - f. Let c = m - -0.19969. What is c rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 (base 5) in base 8?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 137484 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 219*h - 878. Determine y(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9024 divided by 1500\nAnswer: -752\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39555765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 1\/3, 3, 2, 9.4, -13.\nAnswer: -13, 1\/3, 2, 3, 9.4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.0851 - 5.0751. Let j = f - 0.01. Let r = j + 10. Which is the nearest to 2?  (a) -1\/7  (b) r  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - -20242) + (8 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 5*c**4 + 3465*c**3 + 615600*c**2 + 5263380*c = 0?\nAnswer: -342, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*w)*(-16*w**3 - 1099 + 1099).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303 + 4*a - a + 297 + a.\nAnswer: 4*a + 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199 + 169 = 169*i - 308 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*a**3 - 1 - a**2 + 1.\nAnswer: -55*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 3*y - 37311, 2*y - 24892 = -5*p + 10*p. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55 - 42. Suppose 4*l = -o + 57, -4*l + 45 = 2*o - 17. What is the highest common factor of g and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.15 and 0.515.\nAnswer: 0.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 179497, -3, -4, -2 in descending order.\nAnswer: 179497, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -11*p + 2*p + 3*p. What is s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + t - 1. Let i = -5 + 7. Let a be d(i). What is the highest common divisor of 40 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 3 = -3*w. Let p be 1\/w - (-36)\/8. Solve p*g - k + 4*k = -12, 5*k = 4*g + 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.9526816 years?\nAnswer: 11.4321792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 768 and 187.\nAnswer: 143616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 118 and 28131967.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 205 and 6717440?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 340351114?\nAnswer: 2, 1657, 102701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/147*(-219)\/16 - 3*6\/(-144)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 15, 237, 9, 5 in ascending order.\nAnswer: -3, 5, 9, 15, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 7 = 4*c. Let u be 120\/6 - 0\/c. What are the prime factors of u*5*3\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 19*m - 75. Determine u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 2*t - 3. Let b(h) = 3*h**2 - 5*h - 7. Determine 2*b(k) - 5*w(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -56300 to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 46643 (base 8) to base 16\nAnswer: 4da3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -241.6 + 253. Let n = a + -13.4. Sort n, -17, -4 in increasing order.\nAnswer: -17, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182305052.\nAnswer: 2, 45576263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, t: 4, e: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m - 1041*m**3 - 1071*m**3 - 135*m**2 + 2113*m**3 to k*m + z + a*m**2 + v*m**3 and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b - 4*b + 2*b)*(-6 - 6 + 1 + 3 + 3 - 4 + (1 - 2 + 2)*(4 + 1 - 6) - 2 - 1 + 2 + 3 - 5 + 4 - 2 + 0 + 1)*(-6 + 5 - 5) as l + a*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 861834 to the nearest ten thousand.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6014.7511 + -6015. Let y = s - 10.1211. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, 2\/15, -0.1, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -90 + 62. Let h be 26\/7 - 8\/y. Suppose -h = -5*p + 11. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -83*u**2 - 42659*u + 1542.\nAnswer: -(u + 514)*(83*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 630965 and 4187?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 5\/7 in decreasing order.\nAnswer: 1, 5\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -m**4 - 1686*m**3 - 54912*m**2 - 601370*m - 2200143 = 0.\nAnswer: -1653, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 7*v + 2. Let a be i(-1). What is the nearest to 0.3 in a, 2\/11, -1\/5, 1\/25?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/5, -4, -365, 0.3, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 730, 1467, 2206, 2947, 3690, 4435?\n\"Answer: c**2 + 734*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 24*x**2 + 220*x - 101. Let z(w) = 6*w**2 + 55*w - 25. Let r(u) = -2*n(u) + 9*z(u). Let v be r(-10). Solve -l = -5*i + v, -2*l + 2 = 3*i - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - -45 - 15 - (-5 - -80).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -58, -265, -610, -1093, -1714, -2473, -3370?\n\"Answer: -69*n**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 2 + (-3 + 0 + 5)*(-43 + 73 + 47))*(0 - 22*o - 1 + o)*(-2*o + o - o) to the form j*o + y + p*o**2 and give p.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22502272 and 1730944.\nAnswer: 22502272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -1236189.\nAnswer: -1236191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 8:05 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/10*(-510)\/(-136). What is the fifth biggest value in 0.4, i, 0.8, -0.3, -2\/23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -294, -431, -596, -795, -1034, -1319, -1656, -2051?\nAnswer: -2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1)\/(-1 - (-40)\/41) is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -55.18057 - -0.18057. Let o = 65.41 + -10.71. Let z = o + i. What is the smallest value in -0.5, z, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 25*m + 360. Give j(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 742.4\nAnswer: -74.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 369*o**2 - 5.\nAnswer: 369*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/11  (b) -3\/2  (c) 2796  (d) -0.02  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/12 and 169\/3738.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 612 - 609.984. Let o = 0.016 - t. What is the nearest to 2\/5 in 2\/9, -2\/7, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 6474*v + 271900. Give l(-42).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -186200 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/10 + -2*36\/(-20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 4:15 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -4*k + 50 + 34, 2*k + 58 = 3*o. Suppose -3*t - o = t. Let q be 100000\/(t\/(-7) + -1). Round q to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 279848*g**3 - 124928 with respect to g.\nAnswer: 839544*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1447 + 2?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 17*r**2 + 105*r + 434. Give x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.08  (b) -3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 - 6*c + 11. Suppose -2*u + 41 = 2*z + 3*u, -27 = -4*z + u. What is the tens digit of s(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189042071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**4 + 88*y**3 - 148*y**2 - 240*y = 0.\nAnswer: -1, 0, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + 0. Suppose -d + c*d = 0. Sort d, -4, 3 in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*b = -3, 3*b = -h - 4*h + 7. Let o(x) = -1. Let t(p) = 3*p + 3*p - 4*p. Let f(u) = h*o(u) - t(u). What is the first derivative of f(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q. Let y = -4 - 1. Let i(u) be the second derivative of -u**5\/20 - 5*u**4\/12 + 3*u**2 + 19*u. Let d be i(y). Give z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.6013 rounded to zero dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from adnknna.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2e1 (base 16) to base 6\nAnswer: -3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and 1388961?\nAnswer: -8333766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -5. What is n in n**2 - 1 + 2*n - h*n + 0 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 7838386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/6184 + 117379\/723528. Calculate the common denominator of 26\/9 and c.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 781782713 to the nearest integer?\nAnswer: 27960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -230\/3, 2?\nAnswer: -230\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 + 25 - t**3 - 27 + 0*t**3 + 3*t**2 to the form a + k*t + n*t**4 + o*t**2 + j*t**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-2) + (1 - -1). Let c(u) = -u**3 + 6*u**2 + 6*u + 7. Let i be c(7). Suppose 0 = n*b + 4*g - 16, i*g - 3*g = 12. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 10:24 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, 4, 5, 2\/3, 191?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -575.\nAnswer: -11\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 537\/20821 - 2\/443. Let l = z + -103\/423. Which is the fourth smallest value?  (a) 0.3  (b) 3\/4  (c) -5  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25281705 to the nearest integer?\nAnswer: 5028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**6\/120 + s**5\/30 - s**4\/24 - s**3\/3 + 16*s**2. Let p be n(-1). Solve z = -p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 6*r**2 - r + 7. Let x be j(6). Let d(w) = 0 + 0 + 8*w - 2*w. What is the smallest common multiple of d(x) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 221 = z, 3*y + z - 5*z = 663. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 247*q + 14*q + q - 1572 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 558409 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrmrzrmmmrmrmrmrr. What is prob of sequence rr?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 7*g - 680. Determine x(81).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1272)\/120 + 12707\/485?\nAnswer: 78\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(5\/(-45)*6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29870 and 20909?\nAnswer: 209090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 17 = 3*f + 2*p, f + 3*p + 14 = 0. Let j = 4 - f. Factor -2*x**4 - 2*x**4 + 2*x**j + 2*x**4.\nAnswer: -2*x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2212*w - 10883*w - 25114 = -538*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 12. What are the prime factors of 21 - -1 - c - -1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.275 * 0.3167.\nAnswer: 0.0870925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y - 13. Let q be d(-3). Factor 1\/3*x - 1\/3*x**3 + 2\/3*x**4 + 1\/3 - x**q.\nAnswer: (x - 1)**2*(x + 1)*(2*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.59028s in microseconds?\nAnswer: 24590280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 4, 0 = g + 3*y - 14 + 4. Sort 14, g, -1 in descending order.\nAnswer: 14, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15.348 - 42.348. What is the biggest value in 0, 0.2, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, 11.8, -6\/5 in decreasing order.\nAnswer: 11.8, -6\/5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4506066 rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 2. What are the prime factors of (1 - (-9 - -1))\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 458 + -457.95. Is c >= 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 27, 4, -1\/6, -307, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/12)\/2)\/((-1)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -2. Suppose -t = -y - 0. Let m(h) = -h**3 + 16*h**2 - 27*h - 11. Let i be m(14). Sort i, -6, t in decreasing order.\nAnswer: i, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279*b - 2189 = 1996. Put b, 44, 3, 1, -5 in descending order.\nAnswer: 44, 3, 1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {a: 3, t: 4, h: 3, g: 7, d: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171*x - 518*x + 172*x = -169*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4560\/(-1064)*3\/18?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28921 is divided by 339?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -61*t**5 + 65*t**5 - 20*t**2 - t**2 wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, b: 1, m: 1, n: 1}. Give prob of sequence bzw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -10*h - 8. Let n be h*2457\/(-492) - 5. Is 0 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/14)\/(2\/(-4276)). Let h = a - 153. Let x = 0.053 + -2.053. What is the smallest value in 1, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8271.9999985092 + -8272. What is w rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 = 5*v - 3*j, -5*v + 233 - 78 = 2*j. Let t = v - 216\/7. What is the smallest value in t, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-1)*(-156)\/130 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 3:33 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1816 is divided by 863?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36468664*q**5 + q**2 - 41191739 wrt q?\nAnswer: 2188119840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2. Let f(s) = -475*s**2 + 2. What is f(a(z))?\nAnswer: -475*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1722\/(-21)*96\/(-8)*1\/(-8)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 - 196*h + 197.\nAnswer: -(h - 1)*(h + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/7, 0.4, 2\/21, -13, -1\/4, -1\/134?\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 15*s**2 + 13*s + 13. Let x(c) = -7*c**2 - 6*c - 6. Let r(a) = -13*x(a) - 6*y(a). Factor r(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.74*2\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 4*c - 2*m + m, -2*c - 3071*m + 3067*m = -20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174331 is divided by 2414.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/280*633 + (-558)\/(-60) + -9.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 323411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0617 and 0.06.\nAnswer: -0.003702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2449114 is divided by 163274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 245 (base 6) to base 10.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.8 * -0.015595\nAnswer: 0.028071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 10:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 0*v**2 + 3 - 2*v**3 + 0*v + 3\/4*v**4. Factor r(u).\nAnswer: 3*u**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -2. Let t = -154 + 42. Let k = t - -112.1. Which is the nearest to k?  (a) 5  (b) 0.2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q**2 + 6*q**3 - 4*q**3 - 3*q**3)*(475*q - 138048 + 138048) in the form g + s*q**4 + u*q**3 + p*q + d*q**2 and give u.\nAnswer: -1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -8*h + 119. What are the prime factors of i(-31)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1770\/(-354))\/(1\/((-4)\/50)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 9507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -9*y**2 + 3*y + 18. Let l(h) = -4*h**2 + h + 9. Let j(d) = -5*l(d) + 3*u(d). Let o(p) = -10*p**2 + 6*p + 13. Calculate 7*j(s) - 5*o(s).\nAnswer: s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2002 (base 4) to base 13\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 5*w - 28 = 0. Let g(l) = 48*l**3 + 37*l**2 - 87*l + 6. Let d be g(2). Calculate the greatest common divisor of w and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, t: 5}. Give prob of sequence etet.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.022 in 3, 13\/92, 8?\nAnswer: 13\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/275500 and 109\/1740?\nAnswer: 826500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -20, -18, 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + 0.3. Let v = -0.59 - -0.39. Which is the smallest value?  (a) u  (b) -5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - w + 1486 = t, 4*t - 1496 = 4*w. Calculate the greatest common factor of t and 1612.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -3*r + 37. Suppose 588 = r*z - z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5908364, -5908365, -5908366?\nAnswer: -5908367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76 - -5) + (40 - 18)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-54) - 1*2\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.09 and -675?\nAnswer: 674.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by 1373.\nAnswer: -63\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 37 = 3*f + 30, 114*f - 242*f = 4*a - 102*f - 458 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 11.9 - 195787406\nAnswer: -195787394.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039637809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) 96  (b) -3  (c) -5  (d) 0.06  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-18)\/(-7) - 45\/(-105). Suppose -b*d + 4 = -2*d. Suppose 0 = 5*t - 2*h + d + 6, h = 5. Solve t = -2*w - 3*x + 16, -w + 2*x + 6 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 66 - 64. Suppose -2*u + 21 + 7 = -n*q, -5*u + 63 = 2*q. Calculate the remainder when 43 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = o - 266, -2*o - 7*v = -6*v - 514. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**5\/5 + 1664*r**4 - 8726546*r**3\/5 + 30344724*r**2 + 2770351848*r\/5 + 1852865712 = 0. Calculate r.\nAnswer: -6, 30, 2071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - 1654*4\/(-8). Is (v\/21)\/(1\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 229331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4 = -2*g, 3*y + 0 - 12 = -3*g. Solve -5 = y*k + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 v when three letters picked without replacement from {r: 3, a: 7, v: 3}.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 12 = -3. Let q(g) = -2*g**3 - g**2 + 1. Let j(b) = -2*b - 1. Let t be j(0). Let a be q(t). Solve -5*s - a*d = -l*d - 9, -3 = -3*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 11 = -2*d - 0*d, 2*d - 21 = 3*v. Let c be (-4)\/10 - 12\/v. Solve 0*i - c*i = 2*a - 12, -20 = -5*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((y**2 - 2*y**3 - y**2)*(2*y**2 + 2*y - 2*y) - y**5 - 2*y**5 + 4*y**5 - 4*y**5 + 0*y**5 + 15*y**5)*(-2 + 2 + 2).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4*sqrt(24)*-5)\/((sqrt(648) - 2*sqrt(648)) + sqrt(8)).\nAnswer: 2 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/4  (b) -2\/11  (c) -3  (d) -0.4  (e) 0.1  (f) 14111.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 904 divide 188994309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7 - 5) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (1 - 0) + (-4 - (1 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 4*k - 3694, -2 = -4*k - 22. Calculate the remainder when n is divided by 143.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-1\/40)))**(8\/19) assuming d is positive.\nAnswer: d**(1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10309 - 10309. Solve -4*d - 18 = -2*c, 3*d + 13 + w = c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*z + 202*z = 1100 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 0 - (-16 + 14) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1054777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**4 + 351*r**3 + 48315*r**2 - 5485923*r - 22693500 = 0. What is r?\nAnswer: -125, -4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 107. What is z(22)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2982*c + 128164 + 113378 = 0 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*g + 172*g - 3347 = -49*g + 250 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8414 * -0.4.\nAnswer: -3365.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1.49 * 5\nAnswer: -7.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -10. Does 5 divide (-16)\/k*(10 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -4211432?\nAnswer: -4211431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 304\/3413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 19*p**2 + 2*p - 53. Let x(h) = -7*h**2. Calculate v(x(b)).\nAnswer: 931*b**4 - 14*b**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 143.8 - 111. Let m = 37.8 - s. Let j = -1 - -0.8. Put 2\/11, j, m in ascending order.\nAnswer: j, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*x + 747, -222 - 354 = -4*x + 3*r. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*f**3 + 77*f**3 - 232*f**3 + 47*f**3 + 34*f**3 + 41*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 38)*(-75)\/225?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 5*y - 921 + 854, 3*y - 53 = -7*p. Suppose 0*j + 2*j = 2*g + 16, 2*g + 6 = 0. Let a(z) = -z - z - 2 + j*z. Determine a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-264)\/(-9))\/(10 - 224\/24). Calculate the greatest common divisor of 212 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.585 + 7.185. Put 0, a, 189 in ascending order.\nAnswer: 0, a, 189","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -221046 - -4?\nAnswer: -221042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-15)\/10*(-12)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-88 + 12 - -27 - -17) + 8 + -30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -10*b**2 - 2 + 18*b - 2 - 2 + b**3. Let j be r(8). Is ((-35)\/j)\/(1\/(-82)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, w: 4, s: 6, h: 1}. Give prob of sequence www.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21156 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b**(-2))**(2\/49))**(-7))**(-1\/17) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81 - 77. Suppose -z*s + 1949 = 3*d - 2*s, 0 = -5*s - 25. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + 5*(-2*(0 + sqrt(243) + sqrt(243)) + -2)).\nAnswer: 42 + 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 656*s - 84. Let f be k(-8). Which is bigger: f or -5333?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 7. Let h(x) = -5*x**2 - x. Let m be h(1). Let p be m*(3 - 2)\/1. Let s be i(p). Calculate the greatest common divisor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44422.83ng to tonnes.\nAnswer: 0.00000000004442283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -21*a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -3972, 2, -5 in descending order.\nAnswer: 5, 2, -1, -5, -3972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.250921 and 0.2?\nAnswer: 0.2501842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 3961*v**5\/20 - 4009*v**2\/2 + 2125*v. Differentiate g(d) with respect to d.\nAnswer: 11883*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19423 - 20256.26. Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26256149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n + 40. Let x be j(-10). Let k = x - 111. Which is bigger: -4\/5 or k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of u**5\/120 - u**4\/8 + u**3\/3 + 5*u. Let z(h) be the second derivative of o(h). List the prime factors of z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -280, -391, -574, -829, -1156, -1555?\n\"Answer: -36*x**2 - 3*x - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 + 40. Let d be 46\/8 + 3\/12. Let k(f) = 3*f + 4. What is the smallest common multiple of g and k(d)?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -46 - 1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (105\/(-14))\/((-27)\/12)*(-45)\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10130 and 4240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 5*u**2 + 9*u + 26. Let g be z(-6). Solve i + 0*x = 2*x - g, 0 = -2*x + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 385 + 58. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 7 in decreasing order.\nAnswer: 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8)*1)\/(20450\/6544).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -7) + (-6 - (-2 - 8)) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1806 and 8?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52477003, 104954019, 157431035?\nAnswer: 209908051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 834 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -2, 5, 1 in ascending order.\nAnswer: -3, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 3*m + 65 + 165, -118 = -x + 3*m. Suppose -4*a + 31 = 4*o - 53, -2*o = -5*a + x. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjdjjjjjdd. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -958, -2794, -5540, -9202, -13786, -19298, -25744?\nAnswer: -33130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n - 2. Let l be u(2). Suppose -5*h + 6*h + 3*b = -5, -4 = 3*h - 2*b. Sort h, l, -9 in ascending order.\nAnswer: -9, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j**5 + 2132*j**4 + 240780*j**3 + 475148*j**2 + 236504*j = 0 for j.\nAnswer: -94, -1, 0, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 4737 = 3*y, 2*y - 3154 = -9*b + 11*b. Which is greater: 0.04 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -142, -135, -118, -85, -30, 53?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -v + 4*x + 8, -3*v = 5*x + 2. Let a be (v\/8*-28)\/(-5). Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35110 and 12750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 5:10 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 548  (b) 0.2  (c) -0.46  (d) -182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*v - 12*v**3 - 2 - 352*v**4 - 347*v**4 + 697*v**4 - 3*v**3 to h*v**3 + r*v + b*v**2 + f*v**4 + q and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 8. Let x = 22245\/4 - 5562. What is the closest to 0 in x, u, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 85. Suppose 0 = m + 18 - j. Calculate the common denominator of 14\/29 and (4\/m + (-128)\/9)\/3.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -7*u + 54. Suppose -67*q - 9261 + 9529 = 0. Let f(x) = -3*x + 27. Calculate q*g(w) - 9*f(w).\nAnswer: -w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/36)\/((((-592)\/504)\/(-37))\/(2\/(-14)))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8744*o**3 + 131068*o**2 + 1380*o = 0 for o.\nAnswer: -23\/2186, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 479 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (11 + -4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2036\/5 - -406. Let b = -236\/45 + g. Which is greater: b or -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 14, w: 5, r: 1}. What is prob of sequence mr?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/120 and -43\/27680?\nAnswer: 83040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*y = -103, w - 4*y - 44 = -8*y. Let f be 43*2 - (5 + -3). Calculate the greatest common factor of w and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-94)\/(-18) + -5 + (-16)\/(-9). Solve -t*q + 4*g = -0*g - 18, -12 = 4*q + 4*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 13) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4\/2 + 457*y**3\/2 - 2790*y**2 + 11224*y - 15008.\nAnswer: (y - 4)**3*(y + 469)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(351) + -2*sqrt(351) - sqrt(39))*-1*3)\/((sqrt(30)\/(sqrt(10) + 2*sqrt(10) + sqrt(10)) - sqrt(3)) + sqrt(30)\/(sqrt(90)\/sqrt(9))).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-1 - -1) + 30 + (-27 - (11 + -55)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 400 and 4640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -57*m - 172*m + 1985 + 1450 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/3 + 14738*z\/3 - 14740\/3.\nAnswer: 2*(z - 1)*(z + 7370)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -108 + -1?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 5*h**2 + 5*h + 2. Let n be k(-3). Solve 0 = n*b + 2*f - 21, -3*b - 5*f + 32 - 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*n**2 + 55123*n - 624 = 0 for n.\nAnswer: 3\/265, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i**3 + 57*i**2 - i - 17. Calculate x(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - -27. Suppose 118 - w = 3*x. Calculate the common denominator of 46\/5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63639783 to the nearest integer?\nAnswer: 7977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 3*v + 8. Let p be t(-6). Let b = p + 6121. Suppose 11*y - 5700 - b = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -2*d + 2. Let w be (1 + 1\/d)*(2 - -2). Suppose 0*q = 4*q. Solve q*n - 2*n - w = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 5*y**2 - 5*y + 2. Let a be j(0). What is the highest common divisor of a and 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(1*(-2 - (-7 + 4))). What is the greatest common factor of 56 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*-1 + ((-2)\/1 - -64) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 143.77783 to 2 decimal places.\nAnswer: 143.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -5*t + 4. Let s be p(-6). Let y be 3\/7 - s\/14. Let x(b) = b**3 + 3*b**2 + b. Let r be x(y). Solve -1 + r = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c8f - -7?\nAnswer: -2c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14\/806649 or -1?\nAnswer: 14\/806649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2*52\/(-96) - -4 and 89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -7*t - 7. Let h(i) = 27*i - 3. Let b be h(7). Suppose -x + 4*x = b. What is the remainder when x is divided by u(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 4*p - 0*p - 65, -q + 13 = 3*p. Suppose -q = -2*u - 3, 68 = -4*d + 4*u. What is the common denominator of -41\/6 and (234\/d)\/(9 + 1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17390 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/4 + 51*y**2\/2 + 185*y\/4 - 375.\nAnswer: (y - 3)*(y + 5)*(y + 100)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 8:25 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3244 - -3279. What is the greatest common divisor of w and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -0*f + 2*g - 78, -2*g - 34 = -2*f. Suppose -4*i - f + 40 = 0. Suppose -7*v + v = i. Which is the nearest to v?  (a) -0.5  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 409812 = 10497*v - 4725*v for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 7:49 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -7*p**2 - 6. Let c(m) = 15*m**2 + 13. Let y = 448 - 439. Give y*i(s) + 4*c(s).\nAnswer: -3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 - (-3 + -6 + 3). Suppose 3*p - 225 = -3*i - 2*p, 0 = -4*i - 3*p + 300. Suppose -i = -10*k + 5*k. Solve -b*s = -3 + k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0414 times 0.5?\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37 or 0.04727?\nAnswer: 0.04727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5 = -79. Let x = -288 - p. Let v be 4\/2 - -1 - x. What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1579.300019872 - -1579.3. Round a to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 2*x + 2. Suppose 3*q + 3 = -15. Let b = q + 4. Let v(f) = -1. Let p(i) = b*v(i) - h(i). What is the second derivative of p(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 28*u**2 + 28*u - 24. Let w be k(-29). Suppose -w*r + 6 + 6 = -n, -4*n = 2*r - 18. Solve -3*a - 4*g + 5*g = -r, -a - g = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -22. Let i = p + 17. What is the third smallest value in -3\/8, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 559424 is divided by 559416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 48*d - 141. Let p be x(3). Let w(g) be the first derivative of 0*g**p - 5\/4*g**4 + 0*g + 22 - 23\/2*g**2. What is the second derivative of w(f) wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43726555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.125  (b) 0.7  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from eejzzqzeqzjzzjz.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide (1*(-364)\/7)\/2*-37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2926336 rounded to three dps?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 11 - 2*g - 2*g + 3*g. Suppose 2*o - 19 = -w + o, 2*w + 3*o = 43. Suppose -2*f = w - 14. Determine l(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -683 divided by -7\nAnswer: 683\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/14 and 75\/8314.\nAnswer: 58198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7340113, 7340122, 7340137, 7340158, 7340185?\nAnswer: 7340218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -101635 - -101771.114. Let v = -136 + q. Let h = v - 0.054. What is h rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160.0166421ns in weeks?\nAnswer: 0.00000000000026457778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-64)\/6)\/2*(-74)\/((-3552)\/1116)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 1.17?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -267*i + 2965. Give q(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255678495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18754?\nAnswer: 2, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1 + -5*sqrt(176)*3 + -4 + -3*sqrt(176) + -5))**2 + -5.\nAnswer: 18432*sqrt(11) + 913403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 16 = 3*p - 2*p, 2*p - f = 3. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 94*o - 24*o - 51*o. Let k = -0.03 - 0.27. What is the smallest value in o, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -11  (b) 0.1  (c) -0.4  (d) -2\/25  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 3\/8*x**4 - 1\/3*x**3 - 1\/15*x**5 - 8*x**2 + 0 + 0*x. Factor l(k).\nAnswer: -(k - 2)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -17*f - 10. Put 4, f, -67 in descending order.\nAnswer: 4, f, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 4*f - 23 = 0, 19*f + 30 = -4*v + 24*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 149, 202, 255, 308, 361, 414?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**2. Let v(j) be the third derivative of -3*j**5\/20 + 2*j**3\/3 - 21*j**2. Let g(s) = -10*s**2 + 5. Let y(c) = -4*g(c) + 5*v(c). Determine z(y(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -7275*x + 7279*x - 1036, 0 = x - 5*y - 255. Let q(i) = -53*i - 2. Let a be q(-2). What is the greatest common divisor of a and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**3 + 2*i**4 + 3*i + i - 2*i to c + y*i**4 + x*i**2 + r*i + u*i**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y + 9*y - 6*y = -5*i + 75, 0 = 14*i + 3*y - 159 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -340868, -681727, -1022586, -1363445, -1704304, -2045163?\n\"Answer: -340859*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6274948 and 915.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 66619689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 + -6. What is the third derivative of 8*d**p - 4*d**4 - 4*d**2 - 8*d**4 + d**2 wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -212\/283 + -1\/1132. Which is the smallest value?  (a) 8  (b) -2  (c) 4  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -103445.4 bigger than -605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - 11*w**2 - 5*w**2)*(-5*w**2 + 23*w + 16*w**2 - 12*w**2).\nAnswer: 18*w**4 - 414*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cssc when four letters picked without replacement from {q: 5, c: 4, s: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29195.5 and 1.51.\nAnswer: -44085.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiltittiltl. Give prob of sequence ll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15057 - (-4)\/10*(-880)\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 - 3)*(y - 2*y + 0*y) - 1507*y + 358*y - 5063*y as j*y + h and give j.\nAnswer: -6210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -65, -89, -139, -221, -341, -505, -719, -989?\n\"Answer: -d**3 - 7*d**2 + 4*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s**2. Let f = 122 - 114. Let q(z) = -252 + 252 + f*z. Determine q(g(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 1)\/(3\/3). Let d = j + -5. Let n = 8 + d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 23530\/18 - (-3 + 232\/72). Let a = b + -763. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23219 equal to 23172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 142171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 5. Suppose 0 = 3*h - 6, 0*n - 4*h - r = -n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -34, -53, -74, -97, -122?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 44999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 57615031*d**3 + 248996556 wrt d?\nAnswer: 172845093*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 0, 4*k + 3*q - 17 + 5 = 0. Suppose x - 3*n - 2*n = 29, 0 = 2*x - k*n - 23. Calculate the highest common factor of x and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 10 + 12 + 1 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.47 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eek when three letters picked without replacement from qteqttwttetkekq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p**3 + 12*p**2 + 15*p + 12. Let w(r) = -8*r**3 + 36*r**2 + 44*r + 35. Let a(x) = -11*b(x) + 4*w(x). Give a(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13155855 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1503327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ulu when three letters picked without replacement from {v: 1, r: 4, l: 1, q: 4, u: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g - 4. What is the tens digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9 - 3 - (-510)\/24. Is 28 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**2 - 9*k**2 + 0*k**2)*((4*k + 0*k - 2*k)*(-2 - 1 - 1) - 6 + 5*k + 6).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -7693000 to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -11\/269?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**3 + 2*o - 1. Determine s(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of x**5\/20 + 5*x**4\/6 + 5*x**3\/3 + 9*x**2\/2 - 24*x + 2. Determine j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2497287, 9989208, 22475767, 39956970, 62432823?\n\"Answer: q**3 + 2497313*q**2 - 25*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - -8) + -8 + 6\/(-2). Let c(n) = -n**3 - 7*n**2 - 2*n - 4. Let t be c(g). What is the tens digit of (298\/10)\/(2\/t) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4, 941*c = 940*c - 5*j. Solve -5*m = 2*f + 29, 5*f + 6*m - m + c = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16682 is divided by 125?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**4 - 82*u**3 - 343*u**2 + 49588*u + 498036 = 0 for u.\nAnswer: -14, 33, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -523*a + 522*a = -3470. List the prime factors of a\/5 - 7 - -3.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f**4 - f**3 + 10865*f**2 - 8*f - 8756 wrt f?\nAnswer: -12*f**2 - 6*f + 21730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1006 - 0.9495. What is the smallest value in d, -4, 1\/5, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -420, -1693, -3816, -6789?\n\"Answer: -425*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1211638 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 50709669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 927323899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3842 divided by 9\nAnswer: -3842\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -6*v**2 + 6*v + 6. Let a be m(2). Let j(l) = l**2 + 4*l - 1. Let i(n) = n**3 - 7*n**2 + n - 3. What is the smallest common multiple of j(a) and i(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -41*x**3 + 19*x**3 + 2*x**2 - 2*x + 21*x**3 + (-3*x + 2*x + 2*x)*(2*x - x**2 - 2*x).\nAnswer: -2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -2  (c) -1  (d) 1\/2  (e) 12870\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 16*m - 10. Suppose 5*w + 4*o = 18, 4*w - 5*o = -23 + 21. Suppose 5*d = w*l - 35, 2*l - 33 + 4 = -d. Determine b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 12:58 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50 - -158\/3. Which is the biggest value?  (a) u  (b) 0.06  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10*(-6)\/(-15))\/(6\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**2 + 5*b - 5*b + (-3*b + 0*b + 4*b)*(17 - 2*b - 17).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 1710116*c + 26 = -1710118*c, 3*n = 5*c + 35 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2034751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/540*400\/(-160).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44242*v**2 + 16726*v wrt v.\nAnswer: 88484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4*y = 214, 5*c + 3*y = 299 - 92. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - y = -48. Does 5 divide 0 - 3 - (2 - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 2  (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - 26. Suppose 22 = 4*z - 6. Factor -56*b**f - 3 - 27*b**4 + 1 - z*b**4 + 0*b - 16*b - 44*b**2 - 8*b**5.\nAnswer: -2*(b + 1)**4*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -343 (base 16) to base 8\nAnswer: -1503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - p**2 - p + 1. Suppose 2*r + 6 = 5*r. Suppose 26 = r*c - 4*b, -3*c + b + 4*b = -34. Let i = c - 5. Give s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 257 = -a - 5*h, -4*a + 1212 = -3*h. Suppose 0 = 6*l - 0*l - a. Let f = l + -18. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + 195\/52)\/((-231)\/294)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.638 - 7.6375021. What is q rounded to 5 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/13789?  (a) 0  (b) 1\/2  (c) -5  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/168 and -89\/5335692.\nAnswer: 74699688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 11*x + 1130 - 1119)*(-4*x**2 + 5*x**2 + x**2)*(1 + 2*x - 1).\nAnswer: -40*x**4 + 44*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 4*q - 3*q - 12*q. Let v(r) = -2*r. Determine v(b(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -9, -42, -3\/2, 24?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1479728 or -1479727?\nAnswer: -1479727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-21)\/14*(-2)\/1. Let f be 4*p\/(-6)*-1. What is the remainder when 44 - (0 - 0 - f) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -10, -0.2, 0.04 in increasing order.\nAnswer: -10, -0.2, 0.04, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -51*a**5\/20 - 45*a**4\/2 - 150*a. What is the third derivative of j(m) wrt m?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 29, 6, -19, -46, -75, -106?\n\"Answer: -c**2 - 20*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -22*j**2 + 7785*j - 6680. What is z(353)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 14 - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 122330029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**2 + 1623712*q - 164777541184 = 0. What is q?\nAnswer: 202964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.52 - -0.5200705. Round v to six decimal places.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8395 + 18772. What are the prime factors of w?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3210485 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12963349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (-10 - (-24 + -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7322448 a multiple of 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 2:29 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6865*n + 1772*n + 173162 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1998935 - -1998958.50133. Let o = k + -23.5. Round o to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 7*b**2 - b - 2. Let n be l(-7). Suppose -n*g - 14 = 1. Let h(r) = -77 + 242 + r**3 - 78 - 88 - 4*r. Calculate h(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 6)*(0 + 19 + 1)*(6*w**3 + 5*w**3 - 5*w**3)*(0 - 7 - 5).\nAnswer: 2880*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-36))\/((-1)\/1)*(-62226)\/13828.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21\/17 + 135\/68. Suppose -3*x + 40 = -5*j, -2*j = -7*j - x - 20. What is the closest to 0 in 0, j, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, b: 1, o: 1}. What is prob of sequence ol?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**4\/3 - 2*k**3 - 31*k - 13. Let l(n) be the first derivative of z(n). Factor l(u).\nAnswer: -4*u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 3. Let w(l) = -2*l - l**h + l - 2 - l. Let r = 687 - 689. Determine w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 - -39. Let u be a\/3 - (-20)\/12. Suppose 0 = -2*w + 3*w - u*f - 3, -5*f = w - 24. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*j + 104*j = -168. Calculate the highest common divisor of 532 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of 2*y**6\/15 - y**3\/3 - y**2\/2 - 2*y. Let x(t) = -21*t**4 + 11*t + 5. Let q(s) = 33*w(s) + 6*x(s). Differentiate q(z) wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2485321*f**3*y**2 - 3488757*f**2*y**2 + 2*f*y**2 - 2*f wrt f.\nAnswer: -14911926*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -4 + (-9 - (-4 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -1870415 and -125817.\nAnswer: -1996232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -7*s + 6. Suppose 48 = d - s*f + f, 4*d = 2*f + 198. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -g**6\/40 - g**5\/60 - 3*g**2. What is the third derivative of y(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1814466.34 + -1.\nAnswer: -1814467.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19.142 + -19.102. Let m = 9 - 4. Which is the smallest value?  (a) 1  (b) -2\/7  (c) m  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -7*p. Let x(w) = 31*w**2 + 7*w + 4. Determine v(x(a)).\nAnswer: -217*a**2 - 49*a - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*p**3 + 1273*p**3 + 428*p**3 + (-2*p + 0*p + p)*(-p**2 + 4 - 4) + 2*p**3 - p**3 + 0*p**3 in the form i + c*p + h*p**3 + u*p**2 and give h.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 4*z - 1 - 3, 3 = -3*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((sqrt(99) + 1*sqrt(99))*4)\/(sqrt(36)\/sqrt(4)*6) + -2)**2.\nAnswer: -16*sqrt(11)\/3 + 185\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4482.114 years to months.\nAnswer: 53785.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 116 = -129. Let i = -351\/10 + x. Put i, 1\/5, -0.4 in increasing order.\nAnswer: -0.4, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190840781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27 - -48) + -7 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -125.894 - 3.206. Let h = v - -124. Let a = h + 5. Are a and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -0.5, 1064, -32\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.689, -1\/9, -0.4, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 31221820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-4)*(-1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*(-35)\/28*4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*15\/(-15) - (52 + 6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + -11.573?\nAnswer: -22.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5432, 5324, 5144, 4892?\n\"Answer: -36*y**2 + 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 343*t - 11112*t - 5238*t.\nAnswer: -16007*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adddddddv. Give prob of sequence va.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 117. Determine x(0).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -21  (c) -1\/3  (d) -1\/52  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (155\/(-744))\/(20\/(-36)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/(9315\/(-138)))\/(2\/(24\/46))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 69 + -19. Let t = f - 45. What is the second derivative of -t*i**3 - 6*i + i**3 + 5*i**3 + 2*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k\/(k*k**(2\/9)))*k**(-4) assuming k is positive.\nAnswer: k**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of j**2\/2 + 6. Let w(y) = -y**3 + y**2 + y + 8. Let s be w(0). Let g(c) = -11 + 16 - 5 + s*c. Calculate g(k(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g - 30. Let a be w(-12). Let o = -7 - -11. Suppose o = -l + 49. Calculate the highest common factor of l and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {n: 2, s: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 + m**2 - 2*m**2)*(1 - 3*m**2 - m**2 + 0*m**2).\nAnswer: -4*m**4 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7044708 and 5312?\nAnswer: 112715328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1764432506?\nAnswer: 2, 367, 2403859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*f - 11*f - 5. Solve 0 = 2*s + 3*h - 10, 3*s + f*h + 0*h = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 508225743*c**2 + 508722066*c wrt c.\nAnswer: 1016451486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {g: 4, a: 10, w: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*g + 129 = 2*g. Let n(q) be the first derivative of q - 2. Let s(r) be the third derivative of -r**4\/12 - r**3 - 3*r**2. Give g*n(d) + s(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*i**4 - 25*i**3 + 25*i**3)*(9 - 40 + 1) to the form p*i**3 + w*i + l*i**4 + d*i**2 + c and give l.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 6. Let p = 353\/270 - -5\/54. Do p and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s. Suppose n = -3*c + 23, n + 5*c = -0*n + 17. Let r(m) = -19*m - 12*m + 15 + n*m. What is p(r(a))?\nAnswer: -a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3269073ml to litres.\nAnswer: 0.0003269073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48663*l + 23 - 23.\nAnswer: 48663*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4417682, 8835379, 13253092, 17670821, 22088566, 26506327, 30924104?\nAnswer: 35341897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -885*v**3 - 10*v**2 + 56*v wrt v?\nAnswer: -5310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11473 and 6622?\nAnswer: 986678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 4*p**2 - 2*p - 36. List the prime factors of c(7).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 3\/8  (b) 0  (c) 2\/5  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 183, -171, 0, -5, 1 in ascending order.\nAnswer: -171, -5, 0, 1, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -6*w**2 + 585*w - 456. Let g be p(94). Is 1514 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 6*y**3 - 7*y**2 - 26*y - 10. Determine i(-3).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, -0.72, 4\/9, 3\/2, -39, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*g**2\/5 + 381*g\/5 + 1134\/5 = 0.\nAnswer: -2, 189\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 8*y**2 - 10*y + 30*y - 9*y**2 to the form p*y + i + w*y**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 4574 + 1694 = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cchcccchc?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-5 - -14) + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5620 + 16864\/3. Let 0 - a*d**2 - 8\/3*d = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-840)\/(-16) - (271 - 218))\/(2*(-2)\/416)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 133976690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r**(-7)\/r)*r))\/r*r*r)**28 assuming r is positive.\nAnswer: r**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6*(10\/(-3)*1)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - d**2 + d - 1. Let a(f) = 1 + 121*f**3 - 66*f**3 - 4*f**2 + 5 + 2*f - 54*f**3. Calculate a(w) - 2*z(w).\nAnswer: -w**3 - 2*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*5*(816\/(-60) - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29813.4391 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -379*p**3*u**2*w**2 + 2*p**3*u**2 + p**3*w + 58*p**2*u*w - 4*p*w**2 wrt u?\nAnswer: -758*p**3*w**2 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 89, -8, 0 in descending order.\nAnswer: 89, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.69  (b) 37  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2204 and 190?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*g**3 - 847*g**3 - 192*g**3.\nAnswer: -1008*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 121056540439 - 1.6?\nAnswer: 121056540437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2\/11 - 17559*f\/11 = 0. What is f?\nAnswer: -17559, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -1319 in increasing order.\nAnswer: -1319, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from {z: 2, s: 3, u: 3, h: 5}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**4 - 1 + 1 + (3*z**3 - 2*z**3 - 5*z**3 - 2*z)*(-51 + 9*z + 51).\nAnswer: -38*z**4 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2734401640 rounded to the nearest 1000000?\nAnswer: 2734000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(77)*-1 + sqrt(77))\/((-1*sqrt(55))\/sqrt(5)) - -1*((1*sqrt(378) + sqrt(378))\/sqrt(6))\/(sqrt(144)*2).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -71*z + 21*z + 30*z + 23*z. Let i(r) = -156*r. What is t(i(u))?\nAnswer: -468*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8, 4, -9, -7 in ascending order.\nAnswer: -9, -7, -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*o**3 - 2*o**2 - 251*o + 17689905 with respect to o.\nAnswer: 24*o**2 - 4*o - 251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -1.22.\nAnswer: 0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -156 + 156 - 37*g as j + w*g and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36 - -35. Let c be r\/(-14)*(11 + -9). Find t such that 1\/7*t**4 + c*t - 1\/7*t**3 + 0 - 1\/7*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26287 - -15417. Is 4\/18 - v\/90 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 37\/8 and -14\/105103?\nAnswer: 840824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -5. Let -10*b**5 - r*b**2 + 4*b**4 + 23*b**3 - 6*b**3 + 3*b**3 - 10*b + 4 = 0. What is b?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s + 4*s + s + (4 - 4 + 2)*(4 + s - 4).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = h + 9, 2*h = -3*d - 600 + 587. Sort 2, h, 57.\nAnswer: h, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, h: 9, n: 1, o: 2}. What is prob of picking 1 n and 1 o?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**5\/6 - 4*u**4 - 943*u**3\/6 - 541*u**2 + 498*u + 2484 = 0.\nAnswer: -18, -3, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*r + 108, 94 = b - 3*r - r. Suppose 0*f - 8 = -f. Calculate the least common multiple of b and f.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 306\/15 + ((-1236)\/(-60) - 20).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166029 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 9*g**2 + 11*g + 3. Let s be w(8). Suppose -4*u + 2*p - 64 + 244 = 0, s = u + 4*p. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -821 + 820. Let v = 99 - 492\/5. Put v, 5, w, 0.2 in increasing order.\nAnswer: w, 0.2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n + 1707. Let o(l) = -2*l - 853. Determine 5*o(m) + 3*v(m).\nAnswer: -m + 856","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 7*n**3 - n**2 - 2*n. Let s(y) = -8*y**3 + 2*y**2 + 2*y. Let m(r) = 2*s(r) + 3*v(r). Let c be m(1). Put -5, 0, c in ascending order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/11 in 3, 0.2744, 0.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.12  (b) -2\/17  (c) -3  (d) -0.2  (e) -3\/8  (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110 - -1010021110?\nAnswer: 1010021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g - 2 + 2)*(0 - 3 + 5) + (0 + 5 - 1)*(-2 + 0 + 1)*(-2 + 4*g + 2) to the form j + s*g and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 108.39256 times -0.04\nAnswer: -4.3357024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 277, 414, 551?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/29 - (-89)\/29. Let y(f) be the first derivative of 5\/4*f**4 + 7\/2*f**2 + 0*f - 5 + 0*f**p. Find the second derivative of y(r) wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -403470 by 10.\nAnswer: -40347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3 - 4)*(1 - 1 - 2)*(-13607 - 154*l**2 + 13607).\nAnswer: 924*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41.9 + -45. Let g = n + 3.10036. What is g rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o + 2. Let v(z) = -17*z + 9. Let j(l) = 9*p(l) - 2*v(l). Let a(t) = 10*t**2. Determine a(j(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/402120 and -103\/214464.\nAnswer: 3216960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 208 + 252 = 4*q, 6 = -3*v - q. What is the closest to 1 in -10, v, 1\/14, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73404 is divided by 24369?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 430256335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 6. Let x be (g + -3 - -1) + -2. Solve -3*h + x = 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*p**4 - 5*p**3 + 10*p**2 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -67776, -67004, -66238, -65478, -64724, -63976, -63234?\n\"Answer: -3*s**2 + 781*s - 68554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -18771.928 to the nearest one hundred.\nAnswer: -18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 173.06410379562 + -0.06410286562. Let t = 173 - o. Round t to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 16 = 0, 2*v = i - 4*i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -414.88 + -6.01?\nAnswer: -420.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -4.111?\nAnswer: -12.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/45 - 654\/(-27). Suppose 3*i = -3*i + y. Let 21*m**3 - 3*m + 8*m**4 - 5*m**2 + i*m**4 + 5*m**2 + 6*m**2 = 0. What is m?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2140\/9 + 238. Which is the closest to -1?  (a) 4\/7  (b) x  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -176441 (base 8) to base 16.\nAnswer: -fd21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2\/7, -1\/7, 2\/11 in increasing order.\nAnswer: -3, -2\/7, -1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/320 and -19\/3200.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 101505509 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -14*p**2 - 4*p. Let h(j) = 797*j**2. What is s(h(i))?\nAnswer: -8892926*i**4 - 3188*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 2*f + 31, -2*w + 3*f + 14 = -w. Let s(a) = -a**2 + 14*a - 2. What is the tens digit of s(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1, -3, 338, 1\/2, 0.028, -2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 2*g**2\/25 + 19648*g\/25 + 5843438\/25 = 0?\nAnswer: -9517, -307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4240 and 1927280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 8*f**2. Let s(r) = 777329*r. Determine s(z(a)).\nAnswer: 6218632*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p - p + 0*p + 0*p + 2*p - 4*p + (-3 - 4 + 6)*(-2*p - 2*p + 5*p) - 2*p + 5*p - p + (-3*p + 1 - 1)*(1 + 8 + 0)*(1 - 2 + 3).\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 20, -4595, 2.\nAnswer: -4595, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 484 - 478. What is the least common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -9*w + 135, 5*p - 709*w + 715*w - 90 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(-7))\/n)\/n**(-40))\/((n\/(n**(4\/7)*n))\/(((n**(-2\/29)*n)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(9846\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 182179637 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3330 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*r + 38 + 39. Let o be ((r + 2)\/(-54))\/((-1)\/68). Which is bigger: o or 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 3*(-4)\/(-4). Suppose -6*n + 2*m + 6 = -2*n, -5*n + 5*m = g. Suppose -n*d + 8 - 2 = 0. Sort -24, -3, d in increasing order.\nAnswer: -24, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4244\/(-21220) + -3 + (-239)\/5 + -1\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -37*y - 4. Let p be j(-1). Let s = p + -32. Solve -2*d + s = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) -0.3  (c) -2\/29  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3145 and 21335?\nAnswer: 789395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*w + 55 = -4, -10 = -2*w. Let t(d) = 73*d - 3. Let s be t(2). Calculate the highest common divisor of s and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 17*r - 68. Let n be y(4). Suppose 2 = s, n = -5*z - 4*s + 15591 + 6562. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 - 28 - 1)*(-2*f**4 - 2*f + 2*f) + 2*f**4 - 3*f + 3*f.\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -12*f - 612. Let i be w(-52). Suppose 2*x + 24 = 3*t, 39 = 4*t - 0*x - 5*x. Calculate the highest common factor of t and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 117+3.23\nAnswer: 120.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 399059592 and 266039728?\nAnswer: 798119184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -1. Suppose 0 = 10*b - 0*b - 30. Suppose c = 3*z - 20, 4*z - 71 + 36 = b*c. Sort -3, z, v.\nAnswer: -3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 43, 1 in decreasing order.\nAnswer: 43, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -404249836, -404249834, -404249832, -404249830?\n\"Answer: 2*w - 404249838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-576)\/(-80) - -5 - (0 + 13)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 499691471945800969\/4090065789310332 + 32\/96746754407. Let s = -59\/3252 + f. Let x = s + -123. Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -835*s + 5*k = -836*s - 10, -5*k = -5*s + 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bvrv when four letters picked without replacement from {u: 1, v: 2, b: 4, z: 2, r: 3, j: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -11 + -53 + 57\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t + 3. Let n be y(0). Suppose n*l - 2*l = 2*l. Solve 2*u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9259 and 4747?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 83020681 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**3 - 72*d**2 - 1652*d + 10888. Give j(29).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 2, 4, 6, 23, -1 in decreasing order.\nAnswer: 23, 16, 6, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -591, -1189, -1793, -2403, -3019?\n\"Answer: -3*q**2 - 589*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 231 and -4\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -58*o + 54*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 700355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((6\/1215*-27)\/(366\/15))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 391 - 385 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 523\/15 + (-1 - 136\/(-120)). Suppose 0 = 14*r - 679 - z. Calculate the lowest common multiple of r and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*q + 8 = 3*q, -4*c = -2*q + 6. Let p = -15.9 - -16. What is the closest to c in p, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 - 3. Let r(l) be the third derivative of -l**5\/60 + l**3\/6 + 8*l**2. Calculate 4*r(h) + 2*s(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1576\/49 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (-21 + -5 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 98 = 2*o, -2 = 3*f - f. What is the highest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h. Let c be t(2). Suppose 5*z + 4*g = 200 - 506, -c*z - 96 = -5*g. Let q = z + 86. What is the remainder when q is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 6. Suppose 0 = 3*a - n*f + 8, -3*f - 3 = -5*a + 2. Suppose -15 = -3*z + 3. Calculate the remainder when z is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 2:12 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lblb. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*(-1 + (1 - -1)). Let p be (-2 + -1)\/((-18)\/12). Let g be q\/p - -1 - -1. Is g at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**5 + 0*v**3 + 0*v**3 + (-4*v**5 + 0*v**5 + 3*v**5)*(1 + 2 - 1) + (0*v**2 - 7303*v**5 + 0*v**2 + 8694*v**5)*(0 - 3 - 7).\nAnswer: -13914*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjjjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6772, -5769, -4766, -3763, -2760?\n\"Answer: 1003*z - 7775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 3061.\nAnswer: 4\/3061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 3*k. Let o(j) = j**3 - 5*j**2 - 5*j - 3. Let x be o(6). Let s be p(x). Suppose 4*q = -s + 8. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -9. What is the second smallest value in 0.3, 0.4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(27\/42)\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 3, 133473 in descending order.\nAnswer: 133473, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (276\/8)\/23*(-40)\/1770.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + 9*p + 2. Let o be q(-10). Suppose 0 = -5*r + 5*t + 2 - 7, -4*t = o. What is the units digit of 8\/r + 3 + 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/36)\/(1\/(-36)). Calculate the highest common divisor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rryxxkjrryyxxyyykyy. Give prob of sequence kxy.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (107\/((-4601)\/86))\/(30\/2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/14 - (-1358)\/49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*q)*(-1 - 1 + 3)*(-115*q - 62*q - 20*q)*(-5*q**2 - 6 + 6).\nAnswer: -1970*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29 and 1073?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 3*u + 10. Let r(s) be the first derivative of -s**u - 2 + 2 + 1 - 5*s + 0. Calculate r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2, 39, 82, 131?\n\"Answer: 3*r**2 + 28*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vszms?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*m**2 + 5*m - 20*m - m.\nAnswer: 10*m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from yjyvbjojyo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, c: 2, m: 1, l: 5, i: 6}. What is prob of picking 1 i, 1 o, 1 l, and 1 m?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1800\/6000)\/((-9)\/(-5))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 135 + -125. Solve 0 = 4*x + f - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-204))\/(1\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k - 24. Let d(b) = -2*b - 24. Let r(m) = -6*d(m) + 5*x(m). Let j = 8 - 18. Let y be r(j). Sort y, -1, 2 in decreasing order.\nAnswer: y, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -348, -2651, -8896, -21057, -41108, -71023?\nAnswer: -112776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -37*l**4 - 3954*l**2. Let z(s) = -s. What is a(z(p))?\nAnswer: 888*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 11:44 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2))**(-34)*s**(-6)\/s**6)**49 assuming s is positive.\nAnswer: s**2744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 4*p**2 - p + 1. Let q be o(1). Suppose u + 2 = t, -q*t + 6*u + 16 = 3*u. What is the highest common divisor of t and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ujrjf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 27*t + 1. Give l(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245 = -20*a - 205. Let y = 177 + -172. Solve 0 = 5*h + 4*z + 37, 0 = -y*h + a*z - 16 - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3433 + 3434. Let b = -0.1 - 0.3. What is the nearest to r in 14, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -243376 (base 8) to base 12.\nAnswer: -4053a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -71.8430088 + 71.84. Let t = f + 0.003. Round t to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1152)\/21 - (-2)\/(-70)*5. Let v be (s\/(-25))\/(16\/10). Factor -1\/8*c**3 + 3\/4*c**2 + 3\/4 - v*c.\nAnswer: -(c - 3)*(c - 2)*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 7 + (-12)\/4. Suppose -b*k = -2*k. Let n = k - -5. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 99882261 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 910*a + 84. Is 44 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -211 - -211.123. Round x to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 2*b + 113 = 98, -2*u - 4*b - 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2*o - 89 = 0, y - 3*y - 5*o = -223. Is 33 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1425?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(104)*4)\/sqrt(2) + sqrt(130)\/(-1*sqrt(30)\/sqrt(3)) + -3.\nAnswer: -3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 192379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 165*q + 2. Let m(o) = 2*o + 22. What is m(d(z))?\nAnswer: 330*z + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1261 - 0.126099153. Round k to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*s + 1)*(-2 + 3*s**2 + 2)*(7*s + 7*s + s).\nAnswer: -90*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -0.3  (b) 1  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -4\/7  (b) 3  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -161 + 201. Let y = o - -34. What is the remainder when y is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 15 = -2*h. Let y(k) be the first derivative of 3*k**2\/2 - 7*k - 3. Let d(a) = a - 3. Let s(p) = -5*d(p) + 2*y(p). Determine s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 5*n**4\/24 + 33*n**2 - 97. Let v(l) be the second derivative of t(l). Let z(b) = b + 4*b - b. What is z(v(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -14 - -18 - (-3179)\/(-1). Let s = 274 - i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 237?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2497, 3240, 4479, 6214?\n\"Answer: 248*s**2 - s + 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 6*r**2 - 2*r**2 - r**2)*(0*r**2 + 0*r**2 + 5*r**2)*(1 - 3 + 4).\nAnswer: 30*r**4 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3024*v + 24203. Determine z(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 - 76 = -5*v. Find the second derivative of 5*y + 50*y**v + 12*y**2 - 2*y - 18*y - 3 wrt y.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 71, -4, -1, -258, 2.\nAnswer: -258, -4, -1, 2, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -227e34 (base 15) to base 2.\nAnswer: -110010010000011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000051413 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 135 + -134.88. Let p = 2.12 - k. Which is smaller: p or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -1.9  (b) 0  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 178 = 156. Solve -4*j + 8 = 4*d, 5*j = -d + 3*d - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -97 + 237. Let t(l) = -5*l - 27. Suppose 5*h - 5*w + 36 = -19, -3*h = -w + 29. What is the remainder when y is divided by t(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - n - 6*n**4)*(3 + n - 3) + (-n - 1 + 1)*(0*n + 0*n - 3*n**4).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 22*k**2 + 104*k + 56. What is the least common multiple of 84 and w(26)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60 divided by -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, a: 3, l: 13, d: 2}. What is prob of sequence aa?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 3*q + 30, 3*v = -41*q + 37*q - 41 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2086 - 2088. Let i = -2.51 - -2.7. Which is the second smallest value?  (a) i  (b) 2\/3  (c) x  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/11 equal to -124\/679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4459561, 4459396, 4459243, 4459108, 4458997, 4458916, 4458871?\n\"Answer: m**3 - 172*m + 4459732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1562 - 1561.91. Let p = -5.03 - -5. Let f = 0.47 - p. Which is the fourth biggest value?  (a) f  (b) 5  (c) 3\/5  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4 - -0.8. Suppose 27 + 12 = 3*v. Let i = v + -11. Put i, 2\/7, m in ascending order.\nAnswer: 2\/7, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 112*z + 107*z = -23, -14 = 5*t + 2*z. Let m(v) = v**3 + v**2 - 7*v - 5. What is m(t)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -5*r + 1744 - 1719, q = -5*r + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.72 and -10.0062.\nAnswer: 7.204464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -3  (c) -0.046  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 197101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p. Let z(t) = -9*t**2 - 220964*t. Determine z(b(d)).\nAnswer: -9*d**2 - 220964*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: e66 (base 15) to base 14\nAnswer: 127c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**3 + 2 - 2 + (-4*v - 9*v - 9*v)*(0*v - 3*v**2 + 0*v).\nAnswer: 67*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -49*a**3 + 3*a**2 + 4. Let i(q) = 33*q**3 - 2*q**2 - 3. Let y(b) = -7*i(b) - 5*n(b). What is the units digit of y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 98 - 188 + 145 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + (2 + sqrt(252) + 3)**2 - (-4*(sqrt(2800) + -1 + sqrt(2800)))**2.\nAnswer: -178939 + 1346*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -10780 - 16620. What is t rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 500 - 496. Calculate the highest common factor of m and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 10*s**2 - 8*s + 6. Let z be f(-9). Let h(u) = 5*u**2 + u - 3. Let j be h(z). Let r = j + -22. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 3. Suppose -v + 0*v + c = 0. Suppose -56 = -y + v*p, -46 = -3*y + 3*p + 98. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1129798707?\nAnswer: 3, 376599569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 114999*t. Let b(m) = 22*m**2. Calculate o(b(x)).\nAnswer: 2529978*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1. Suppose -5*j - o + 3 = -7, -2*j - 5*o + 4 = 0. Let b be j*-1*10\/(-4). Solve m*s - b = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26500949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8 = 2*y - 6, -4*y + 3*m = 9. Let f be 35 + -38 - y\/1. Let n = 10\/197 + -2040\/1379. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32 - 71 + 40 + 67*n + (-1 + 2 - 2)*(-3*n - 2*n + 3*n) + 3 + 2*n - 3.\nAnswer: 71*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -124, -171, -246, -355, -504, -699?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 14, 41, 88, 161?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8612 and 0.8244.\nAnswer: -7099.7328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2\/4 - 2359015*p\/4 + 2359005\/2.\nAnswer: 5*(p - 471801)*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 7301858134.\nAnswer: 7301858134.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/1972 and -29\/8?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 32, 3, -61, -5652 in decreasing order.\nAnswer: 32, 3, -4, -61, -5652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 + -2) - (-4 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8304809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1364\/13293 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3165626 - -2055626. Round x to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 82 = -58. Let z(h) = h**3 + 12*h**2 + h + 6. Let f be z(-10). Calculate the greatest common factor of f and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from zfffffz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, i: 10, w: 2, s: 3}. Give prob of picking 2 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-14))\/(a*a**(-36)))\/((a*a\/a**(-1\/35))\/a**(-1\/17)))**(22\/9) assuming a is positive.\nAnswer: a**(627176\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**3 - 36*g**2 - 162*g - 216 = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 41, 97, 177, 287, 433, 621, 857?\n\"Answer: b**3 + 6*b**2 + 31*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by (8\/3)\/((-161)\/(-21) + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q**2 - 31*q - 10. Let l be y(-10). Is l equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)\/((-645)\/40 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -633, -2130, -4491, -7716, -11805, -16758, -22575?\n\"Answer: -432*n**2 - 201*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -43.4471 + 35.837. Let q = c + 7.6. Round q to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3005063625 and -0.3.\nAnswer: -3005063625.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, h: 2, g: 7, n: 5}. Give prob of picking 3 g and 1 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 22*y**2. Let p(l) = 8*l - 5. Let z(s) = -27*s + 25. Let a(i) = -7*p(i) - 2*z(i). Calculate a(u(b)).\nAnswer: -44*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1754381247, 1754381248, 1754381249?\nAnswer: 1754381250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from lggllg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + 0. Let y = -104 + 104. Suppose -4*u - d*f - 23 = y, 4*f + 3 + 7 = 5*u. Is -2 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.62  (b) -2  (c) -3\/2  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 1942*f - 19617. What is w(-10)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1244591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 398669011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -0.001.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36.33649 + -51.9.\nAnswer: -15.56351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 39751334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 677*g - 33197 = -256*g + 10507 - 786 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eijujuejewuej. What is prob of sequence uuw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -11. Which is the closest to 1?  (a) 4  (b) 0  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -25*s**2 - 6*s - 2. Let t(l) = 25*l**2 + 4*l + 3. Let b(i) = -4*i + 82. Let g be b(20). Let r(k) = g*t(k) + 3*h(k). Factor r(x).\nAnswer: -5*x*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1572?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 417299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 371506243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*j - 372*j + 1 + 3*j + 1261*j + 666*j to t*j + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2382 and 168?\nAnswer: 66696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ddmdmddddd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, -11, 116, -4\/9, -1\/8 in decreasing order.\nAnswer: 116, -1\/8, -4\/9, -5\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 2281 divide 19098813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-8)*(-83 + 45 - 120)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14466.\nAnswer: 2, 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((26649\/(-651) + 41)\/(-2))\/((-2)\/(-4)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - w - 2*x - 6, 5*w + 3*x = -2. Suppose w*a - a = 2. Let g be ((-2)\/(-4))\/((-3)\/a). What is the nearest to -0.1 in 1, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59790203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48476*x**5 - 2*x - 24245*x**5 - 43 - 24979*x**5 wrt x.\nAnswer: -14960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 3*g + 77 = -5*c + 13, -216*c + 2*g + 5 = -211*c + 45 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00070998247 rounded to five decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -2. Suppose 2*d - 3 = -3*r, 5*d = f*r - 4*r + 2. Let x = 4 + r. Solve -3*b + 31 = x*i, -2*i + 2*b + 3 = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (1 - 1 - (-5 - -8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) - (sqrt(128) - (sqrt(128) + -2 + sqrt(128))))**2 + -5.\nAnswer: -64*sqrt(2) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3872\/3984 - (-4 + (-96)\/(-18)). Is a bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28026*l + 316170 wrt l?\nAnswer: -28026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*((-257 - 681 - 47)*(2*d + 2*d - 2*d) + (-3 - 1 + 3)*(-d - 4*d + 4*d) + 3*d - 3*d - 3*d).\nAnswer: 1972*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*r - 8*r**2 + 3*r + 0*r**2 - 15*r in the form h + i*r**2 + u*r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times -178730.6?\nAnswer: 16443215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 273, 1216, 2793, 5010, 7873?\n\"Answer: h**3 + 311*h**2 + 3*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2*2\/(-4))\/(-1)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 20 = -5*p. Suppose 0 = d - o - p, -5*o + 23 = 3*d - 0*o. What is the remainder when -2 + 48\/3 - 3 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -1788285?\nAnswer: 1788284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 33 + (0 - -2 - 5). What is the first derivative of -26 - 10*u + 5*u + 5*u - h*u**4 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 478640441?\nAnswer: 478640441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q**2 + 3*q - 5*q - 4*q**2)*((6 + 5 + 3)*(-2 + 2 - 4*q) + 5*q - 6*q - 2*q) as f + c*q + i*q**3 + m*q**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 381 + -59. What is the greatest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -217687279 equal to -217687279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 78*q**2 - 430 + 721*q**2 + q + 11*q - 12*q with respect to q.\nAnswer: 1598*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*y + 112*y - 22 = 2*p, -p - 11 = -4*y for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*v = -27*v - 1008. Let n(f) be the first derivative of 0*f + 17\/2*f**2 - 10\/3*f**3 + v. What is the second derivative of n(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.0997  (b) 0.4  (c) -1\/10  (d) 3756\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 315528758.\nAnswer: 2, 29, 103, 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6 times 13964678?\nAnswer: 22343484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - 11 - 3 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 159 - 159. Let u(k) = -14*k**3 - 2*k - 1. Let n be u(-1). Let i be 1\/10*n\/9. Which is the nearest to f?  (a) 0.2  (b) -3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 21 + -2462?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.047 + -0.117. Let g = 31154.16259 - 31154. Let s = h + g. Round s to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12209\/13?  (a) 2  (b) -15  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16278105 by -3255621.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*6*((sqrt(22) + sqrt(22) + 3*sqrt(1408))\/((sqrt(56)\/sqrt(4))\/sqrt(7)) + -3))**2.\nAnswer: -20592*sqrt(11) + 1071873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of -o**7\/105 - 13*o**3\/6 + 11*o**2. What is the derivative of c(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1654*n + 3300*n - 1670*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*u - 716 + 680. Let r be ((2 - 4) + 1)*5. Put -4, u, r, -3 in ascending order.\nAnswer: r, -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1149*s - 1146*s - 2 - 34 = 0, -5*h - 7*s + 59 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - 12\/(-3 - 0). Let y be (4\/6)\/((-1)\/6). Put -5, y, q in ascending order.\nAnswer: -5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + q = -10*h + 1155, -4*h - 2*q = -4612. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1115*c - 10256 = -334*c - 2446 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wup. What is prob of sequence uwp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 750.\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.583 - 14?\nAnswer: -5.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -531, -1122, -1713?\n\"Answer: -591*r + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 18. Suppose -m - 10 = 3*z - 4, 2*z + o = m. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 4*f + 5. Let x be h(-4). Suppose -x*m = -4*t + 8, -5*t + m + 10 = -2*m. Find the second derivative of -6*l - 2*l**2 - t*l + 6*l wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*d = 84*d + 6306. Suppose -2*k + 579 = 3*c, -4*c + k - 279 + d = 0. List the prime factors of c.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4642742315?\nAnswer: 5, 928548463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62698\/831 + 32\/277. Let h = 76 + c. Let s = 2 + -3. What is the nearest to h in 2\/7, s, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 124 = 5*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 2\/387905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 272 - (1 - 1) - 75\/(-15). Let t = i + -269. Suppose -2*g + 96 = 5*x, -4*x - 22 = -5*x + g. What is the remainder when x is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 10*b**2 + 7*b - 5. Let f be l(-7). Let m = 1170 - f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/5 + 57*(-1)\/(-15). Let r(d) = 2*d**3 - 6*d**2 + 2. Let x(l) = -6*l**3 + 19*l**2 - 7. Let c(t) = p*x(t) + 14*r(t). Factor c(s).\nAnswer: 4*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -13, 3, 13 in descending order.\nAnswer: 13, 4, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 9) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/108*(-70950)\/2150?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -4 - ((-16 - (-7 - -5)) + -43 + -4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3101 + -18547\/6. Calculate the common denominator of -6*(-1 - (-46)\/15) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.9 + 0.8. Let d = 9.97 + -10.49. Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*97444\nAnswer: -5846.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*n*y**5 - 3*n*y + 29551*y**5 + 10083*y wrt y?\nAnswer: -40*n*y**3 + 591020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 9*b - 21. Let c be b - -3 - 4 - (-24)\/(-14). Factor -4\/7*m - c - 2\/7*m**2.\nAnswer: -2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 greater than or equal to 6676\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -128?  (a) -4  (b) 5  (c) -8  (d) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 15186 and 0.2.\nAnswer: 15186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - 5)*(-1 + 0). What is the common denominator of -22\/7 and 42\/(-9) + 2\/k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 453 - 0?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 401 - 400. Which is the second smallest value?  (a) 16  (b) -0.2  (c) l  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**2 + 13531*r - 215987. What is g(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 11120?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*b - 17*b + 5*b + 12*b**3 to the form w*b + k*b**2 + v*b**3 + x and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4057768 to the power of 1\/2, to the nearest integer?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - ((-205280)\/6 + 336\/(-504)) a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand n + 3 - 3 + (-1 + 0 - 1)*(n - 1 + 1) + 0 + 2*n + 0 + (-6*n + 5*n - n)*(4 - 2 + 0) + 4*n - n - 2*n - 777*n + 384*n - 991*n.\nAnswer: -1386*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/3, 3, -2.2, -1.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/1144 and -2\/21229?\nAnswer: 1868152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -0*h - 4*y + 14, -4*y = 4*h - 28. Let c be (-64)\/(-30) - h\/15. Let f be c + -5 + 7 + -5. Put 5, 2, f in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2506*t**2 + 4*t + 2499*t**2 - 4*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - u - 3*u + 24, u = 2*z - 14. Differentiate -z*y + 0*y + 0*y + 0 - 8 with respect to y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4321 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + ((-1*sqrt(143))\/sqrt(11) - sqrt(13)))*6.\nAnswer: -24*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 12 = -16. What is the common denominator of 81\/4 and u + (-554)\/52 + (-22)\/(-143)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 - (-222)\/(-45)*3. Let x(o) = -o**3 - 14*o**2 + 5*o + 7. Let c be x(h). Suppose s + w + c = 5*s, -w = s - 33. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*d + 29*d + 20 = 5*c, 34 = 3*c + 5*d. Let k(a) be the third derivative of -3*a**2 - 1\/2*a**c + 1\/4*a**4 + 0*a + 0 - 1\/20*a**5. Factor k(j).\nAnswer: -3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287672?\nAnswer: 2, 7, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 4:43 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -17*c**2 - 4*c + 12. Calculate h(3).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, o: 1, v: 3, k: 2}. What is prob of picking 1 o and 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 1989.\nAnswer: 5\/1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.07245 weeks in microseconds?\nAnswer: 23631017760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -89, -85, -79, -71, -61, -49, -35?\n\"Answer: i**2 + i - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2. Let m(h) = -h**2 + 55. Let n be m(7). Let v(r) = 2*r**2 + r. Let o(f) = -15*f**2 - 10*f. Let c(d) = n*v(d) + o(d). What is u(c(z))?\nAnswer: 9*z**4 + 24*z**3 + 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l - 2*i + 15 = -10*l, -3*l + 45 = 5*i. Solve 6 - l = w - 2*d, d = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y - 5. Suppose -g + 24 = -3*g. Calculate the remainder when p(g) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/16 + (-372)\/(-32). Solve -j - 3*j = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000336385 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.59 * -0.3046.\nAnswer: 2.007314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmnnn. Give prob of picking 1 m and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*n - 394 = -13*z - 1054, 3*z + 55 = 975*n - 974*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/8 and 12*10*(-5)\/176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3 + 2 - 3*w - 4*w. Let b be s(-1). Factor 5*d + 2*d - 3*d + 2*d**3 - b*d**2.\nAnswer: 2*d*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7414594 - -56.\nAnswer: 57.7414594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, -0.4, -12395150?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssrrr. Give prob of sequence rr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001 is divided by 999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 2580 = 5*n, n = -2*f + 6*n + 1032. Calculate the common denominator of f\/(-45) + 8\/12 and 49\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**5\/2 - 233*g**4\/2 + 3476*g**3 - 35872*g**2 + 134912*g - 102400 = 0. Calculate g.\nAnswer: 1, 8, 16, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 6 = 6. Is 27 a factor of (-2)\/h + (1 - 378\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 9\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3099225710.\nAnswer: 2, 5, 7, 103, 429851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.1  (b) 0.98  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of 5\/2*c**2 - 1\/2*c**3 - 1\/6*c**4 + 6*c + 0. Let j(z) be the first derivative of g(z). Differentiate j(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + -257?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 3*r + 86 = 0, -2*w = -4*r - 83 + 29. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -4. Let n be 4 + -1 + g\/(-1). Suppose -n + 11 = 3*b. Solve -3*x - b*l = -8*x + 11, l - 23 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5 = 7. Let o be (-4)\/p + (-44)\/(-6). What is the highest common factor of 77 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3993404 or -3993406?\nAnswer: -3993404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 - -34.9. Let z = -1.899872 + o. Round z to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 129 - 91*x + 119*x**2 - 67*x**2 + 91*x - 59*x**2. Let a(d) = -2*d**2. Give i(a(b)).\nAnswer: -28*b**4 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630084 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 - -37. Suppose 0 = 5*q + 4*u + 8899996, -n*q + 4*u - 1627543 - 3712461 = 0. Round q to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 3336.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -163, 2, 3 in descending order.\nAnswer: 3, 2, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -327  (b) 2\/13  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 0.5, 2\/7, 3\/4334, -2\/9, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -30*i**2 - 21472*i - 2853461?\nAnswer: -60*i - 21472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1402, 1364, 1300, 1210, 1094, 952?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**4 + 10608*f**3 + 9912864*f**2 + 946573056*f + 23887049472 = 0 for f.\nAnswer: -1716, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - n + 12. Give r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 27. Which is smaller: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41408710.\nAnswer: 2, 5, 7, 591553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -43714 (base 8) to base 7\nAnswer: -104405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14052*k*l**3 + 9*k*l + 5150*k - 2*l**4 + 42 wrt l.\nAnswer: -42156*k*l**2 + 9*k - 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 582 - 32. Suppose -430 = 5*x - q. Let c(h) = 7*h - 4. Let a be c(4). Calculate the highest common divisor of a and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*u = -184, 0*v - 2*v + 110 = 2*u. Let r = v - 26. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.81 times -3\nAnswer: -11.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 21*a - 9570 = 0. Let f = 445 - a. Solve -7*g - 4 - f = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 4. Let l = 3.999978 + b. Round l to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s**6\/s)\/s))**(-3\/5)\/(s**(-7)\/(s\/((s\/s**(1\/7)*s)\/s*s)*s)) assuming s is positive.\nAnswer: s**(313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -6*a. Suppose -3*l = 3*f - 1365, 0 - 4 = -l. Let u(p) = 6*p - 899 + 448 + f. Determine w(u(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 + 30 = -30*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -6. Suppose 10*l = c*l - 2485. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -6)*2*(-1)\/(-2). Suppose 2*o + 2*o - 5*l - 215 = 0, 0 = s*l - 5. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*y = 0, 4*r - 3*y = 6*r. Let c(x) = r*x - 5*x + 6*x + 5*x. Let s(o) = o. Give c(s(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are 6409 and 6409 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1 - 4*i - 2 + 1. Let s(c) = -10*c**2 - 11*c. Let k(y) = -2*y**2 - 2*y. Let x(v) = -11*k(v) + 2*s(v). Determine x(d(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4 + 0.7. Let x = -1 + -1. Let u = x + 2.5. Which is the third biggest value?  (a) d  (b) -1\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.485 + -0.48499438. Round f to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 69, 70, 73, 78, 85?\n\"Answer: h**2 - 2*h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(-2\/23)*(r**(3\/8)*r)\/r)**(13\/6)*r**1\/(r**(-5)*r)*(r**(2\/5))**(-33\/2) assuming r is positive.\nAnswer: r**(6871\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52352399 to the nearest integer?\nAnswer: 7235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(162) - (4 + -1*sqrt(162)))**2 + -4 + (sqrt(162) + -6*(sqrt(162)*-1 + sqrt(162) + sqrt(162)))**2*3) + -1)*-4.\nAnswer: -2880*sqrt(2) + 256204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -86 - -85.4. Let x be (-12)\/(-15)*(-5)\/(-34). Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7455 and 5964?\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 29  (b) 0.061238  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*k - 10*k + 14*k - 55*k + 16*k + 17*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(32))**2 + sqrt(8) + sqrt(2) + -4 + 3.\nAnswer: 3*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**2 - 23*g + 20. Let t be n(9). Let l = 107 - t. Let h = l + -18. Calculate the greatest common factor of h and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21.013 + -0.013. Let s = -21.14 + u. Let p = s + -0.16. What is the biggest value in -0.5, p, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 5:33 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 692109.9 years?\nAnswer: 692.1099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4232 and 23094024.\nAnswer: 23094024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10c7 - 22?\nAnswer: 10a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 14.75769 and 22972.\nAnswer: 22986.75769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2488223789 less than 4?\nAnswer: 2488223793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 530537 is divided by 5525.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 6:18 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1, 0, -1920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**2 - 39*r + 90. Let y be m(21). What is the greatest common divisor of 54 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(-1 + (-1 - -1)). Let n be t\/9 + 11\/3. Suppose -6 = n*j + 3*a + 3, 5*j - 4*a = -19. Is j >= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2*w + 21 = 0, 8*v + 33 = 3*v - 4*w. Let m = -1 - v. Let p be 0 + (-3)\/((-138)\/m). Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 236\/(-59)*(7\/((-84)\/6975) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59922354.\nAnswer: 2, 3, 107, 93337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b**(3\/4)\/b)\/b)\/b*b)\/b)\/b*b*(b**2*b)\/b*b)\/(((((b**(2\/5)\/b)\/b)\/b)\/b)\/b*b)**(-1\/70) assuming b is positive.\nAnswer: b**(489\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/39 and 77\/392166.\nAnswer: 5098158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -42*h. Let k(b) = -68*b**2. Give k(z(l)).\nAnswer: -119952*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 4931810355.\nAnswer: 4931810359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000034374 rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 205, 409, 613, 817, 1021?\n\"Answer: 204*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -341443122411?\nAnswer: 341443122404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -596886, -2387630, -5372214, -9550644, -14922926, -21489066?\nAnswer: -29249070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**3 + g**2 - 4*g + 1. Let k(d) = 9*d**3 - 5*d**2 + 21*d - 6. Determine 4*k(i) + 22*y(i).\nAnswer: -8*i**3 + 2*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.960944 months in years?\nAnswer: 2.413412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 3*v - 22 - 5, -114*f - 1026 = -4*v for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 39 = -9*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3116*i**2 + 246*i**2 - 1568*i**2 to u*i**2 + a*i + q and give u.\nAnswer: -4438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 6*v - 5. Suppose -4*k + v*n = -4302, k + 4*n = -4*k + 5357. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 167523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 119981477 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -708 by -5043.\nAnswer: 236\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50741950471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*y**3 - 7*y - 2*y**3 + 29*y - 3*y**3 to the form j + s*y**3 + g*y + b*y**2 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9094386667.9 less than 0.1?\nAnswer: -9094386667.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*(3 + 2\/(-1)). Which is the nearest to -1?  (a) -1\/2  (b) 3\/7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5677468273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.049 + -0.049. Let h = 0.2 + -0.4. What is the closest to 0 in -2\/9, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -125\/3 - -41. Let l = 114.96 - 109. Let k = l + -0.96. Which is the fourth biggest value?  (a) -5  (b) h  (c) k  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 448780736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30351 + -23.3843.\nAnswer: 30327.6157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-1 - 2)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -4 - ((-8)\/10)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 - 3 - 4*k**3 + 15*k**3 - 4*k**3 to the form i*k**3 + a*k + h*k**2 + d and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = 3*m - 20, -18*p - m + 8*m = -8*m - 23 + 119 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/28)\/((-14)\/21).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 + 2552355*s - 30628116.\nAnswer: -(s - 2552343)*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 229602, 918381, 2066354, 3673527, 5739906, 8265497, 11250306, 14694339?\n\"Answer: y**3 + 229591*y**2 - y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, x: 4, g: 3}. What is prob of picking 3 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -796554 greater than or equal to -796631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -51*c**3 - 17*c**2 - 73*c - 84. Determine v(-2).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39265, 39265, 39269, 39277?\nAnswer: 39289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.09523704 to 5 dps.\nAnswer: 0.09524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.714456 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2146.123 rounded to 0 dps?\nAnswer: -2146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 52 + -51.6. Let h = o - 0.9. What is the second biggest value in -0.2, 2, -10, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 5)*((-1638)\/(-98) - 18)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**2. Let t(b) = b**2 + 3*b + 27. Let h(c) = -5*c + c**2 + 0*c**2 + 3*c**2 - 53 - 6*c**2. Let x(p) = 3*h(p) + 5*t(p). Calculate x(u(a)).\nAnswer: -4*a**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 10102111211 (base 3) to base 4\nAnswer: 100131301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, n: 2, r: 1, l: 1, q: 1, g: 1}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61932364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -5*k - 95, -3*k - 36 = -k + 4*b. Calculate the least common multiple of (16\/k)\/((-1)\/10) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32224 and 836.\nAnswer: 354464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 20 = -5*y - 8, 0 = -5*y. Let u be (-1*2\/8)\/(1\/n). What is the greatest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -3*r**3 + 402492*r**2 - 13500386655*r + 26999163366 = 0.\nAnswer: 2, 67081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5 + 20 = 0. Let f be (-176)\/20*w*-1. Suppose -y = 5*o - f, -2*o + 4*o - 4*y = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 50403, 204164, 460441, 819240, 1280567, 1844428?\n\"Answer: x**3 + 51252*x**2 - 2*x - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**3 + 2*s**2 + 4*s - 6. Let b be y(2). Let u(m) = -m**2 + m - 1. Let r(z) = -3*z**2 - 3*z + 1. Let d(f) = -r(f) + 2*u(f). Determine d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7\/(21\/(-3)))\/1)\/(34\/(-1394)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47257783 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -853 + 853.4. Let o = 0.07 - -0.23. Let v = -100 - -405\/4. Which is the nearest to -2\/3?  (a) o  (b) g  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11364507?\nAnswer: 3, 7, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1658398311.\nAnswer: 3, 263, 700633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1267275?\nAnswer: 3, 5, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 18*g**4 - 2*g**2 - g - 172. Let o(l) = 53*l**4 - 6*l**2 - 2*l - 517. Let a(m) = 3*o(m) - 8*t(m). What is the second derivative of a(r) wrt r?\nAnswer: 180*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19888137 is divided by 68344.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -0*n + n - 3*q, 0 = -2*n + 3*q - 84. Let j = 123 + n. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**32*l*l**16*l*l**(-34)*l\/(l\/(((l\/(l\/l**(2\/7)))\/l)\/l)) assuming l is positive.\nAnswer: l**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 114351119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 1. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 3*t + 5. Let z be i(4). Let k = -8 + z. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r*r**(1\/5))\/r*r))\/r)\/r**(6\/5)*(r\/(r\/(r*r\/r**2)))**(-2\/27)*((r*r**(2\/3))\/r*r**(-6))**18 assuming r is positive.\nAnswer: r**(-492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -87348*c. Let x(j) = 32*j - 2. Determine x(q(y)).\nAnswer: -2795136*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is 548904 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x*x**(-5))*x\/(x*x**(-5\/3)))\/(x\/(x\/(x\/((x\/x**0)\/x)*x)))**(-19)*((x**(-3)\/x)**(-3))**(3\/11) assuming x is positive.\nAnswer: x**(1615\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33150 + -6024. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002147326 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*(d\/(d\/d**(2\/9))*d*d*d)\/d*d*d*d)*d)**1)**19 assuming d is positive.\nAnswer: d**(-722\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2 = 7. Suppose m*i + 2*i = -1955. Let p = 602 + i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11083 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000652646156 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 7.8. Let f = -1.3 + s. Let w = 174\/7 + -25. Which is the closest to -1\/4?  (a) 1\/3  (b) w  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29088 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 - -10. Let o = -39.999954 - l. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/g**4)*g**2*g*g\/((g**(-5\/3)\/g)\/g*g)*(g*g*g\/((g\/g**(-3\/11))\/g))\/g*(g**0*g*g\/(g\/g**2))**40 assuming g is positive.\nAnswer: g**(4369\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/63 and (-112)\/(-84) + (-53)\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(2299) + 6*sqrt(2299))**2 - sqrt(2299)) + 1 - sqrt(2299))*-4.\nAnswer: -1351824 + 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.19 - 1003.19. Let d = o - -1013.5. Round d to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -12 + -74537?\nAnswer: -74549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 6:20 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 305688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 - 4)*(4 + 0 - 6) - 6 + 5 + 8)*(-8*p**2 - 21*p**2 + 9*p**2).\nAnswer: -220*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7204 + -7172. Solve 44 = 12*w + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b1fd (base 16) to base 7.\nAnswer: 3113115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 46067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13426 and 0.03?\nAnswer: 402.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n + 22. Let t be f(9). Let o be 342 - (0 + 4 - t). List the prime factors of (11\/(165\/o))\/(2\/10).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 7 + -1 + 2 - 31?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -146 - -151. Suppose 0*c - 376 = -4*c. Suppose -i + c = 3*j, -y*i + 4 + 18 = j. Calculate the remainder when j is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of s**4\/4 + 7*s**3\/3 - 3*s**2\/2 + 10*s - 127. What is the remainder when 183 is divided by k(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -50?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1304319, -2608651, -3912993, -5217345?\n\"Answer: -5*r**2 - 1304317*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, d: 3, z: 1, r: 6, l: 4}. Give prob of sequence rd.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/61457 or 288?\nAnswer: 1\/61457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of 0*c**2 - 5 + 2\/3*c**3 + 5*c - 3\/4*c**4. Calculate the remainder when q(-3) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002977451 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 10*z**2 - 6*z + 9. Let t(w) = -119*w**2 + 70*w - 105. Let q(n) = 3*t(n) + 35*y(n). Let h(c) = 159*c. Calculate q(h(i)).\nAnswer: -176967*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 28. Suppose 4*j = 10*j - k. Suppose 4*u + j*u - 40 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70444?\nAnswer: 2, 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = f - 37, -27 = 3*a - 5*f + 22. Let u = a - -16. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 1.084?\nAnswer: 0.4336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -37697*0.8\nAnswer: -30157.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2\/4 - 2435022*v + 9740085\/4.\nAnswer: 3*(v - 3246695)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/5 < 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299993?\nAnswer: 299993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13410701 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 3676?\nAnswer: 25732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1295, -755, -6311, -17125, -34949, -61535, -98635, -148001?\n\"Answer: -292*f**3 - f**2 - 3*f + 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 2. Let r(c) = -4*c**2 - 6. Let k(f) = -2*r(f) + 6*v(f). Let j(m) = 133*m**2. Determine k(j(z)).\nAnswer: 35378*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of 8*q**3\/3 + 3. Let j(s) = 120*s - 56. Let m(p) = 13*p - 6. Let g(v) = 3*j(v) - 28*m(v). Calculate g(i(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -8d?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + sqrt(39)\/sqrt(3)*1 + sqrt(13)*-2 + 3 + (sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91) + sqrt(91)*1))))\/sqrt(7)).\nAnswer: 24 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 31*m**2 + 47*m - 654. Determine n(-32).\nAnswer: -3182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)*2 + 0 + -4 + 2 + sqrt(252) + 1)*3.\nAnswer: -3 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2494 + -2494. Solve o = -14*t + 58 - 58 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 + 483010*z - 11664933005.\nAnswer: -5*(z - 48301)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 11:28 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((1 - -2) + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1 - 11*i - 2 - 5*i**3 + 2 + 10*i. What is d(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 9434*t**2 - 6*t + 3*t - 9435*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rnnr. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(-4)\/(5 - 7). Suppose b*r - 2661 = 463. List the prime factors of r.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1199075294549355 - -0.1.\nAnswer: -1199075294549354.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 - 26*a - 23. Let z be v(13). Let r = z + 22. Let b = 2137\/11 - 194. Is b < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 10*j**3 + j**2 - 1. Suppose -4*w - 3*h = 1, 0 = -3*w - w + 3*h + 17. Suppose 0 = 5*m - w*r - 15, -3*r - 20 = r. Is 5 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 16197021 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 142 = 686. Let c(p) = 2*p + 2. Let g be c(-2). Let o be g + -2 + 2 - -19. What is the greatest common factor of o and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 219605 - 1450605. Round w to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25483199 by 46249.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1574482672 or -1574482673?\nAnswer: -1574482672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 + 6*o - 14. Let q be l(-6). Suppose -5*h = -q - 18. Find the second derivative of 234*t + 2 - 222*t - 2 - h*t**3 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -2*k + 88, 15022*k - 48 = 15025*k - 3*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, b: 5, d: 4}. What is prob of picking 1 u and 1 b?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 1456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 38368 divided by -4\nAnswer: -9592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 1149 + 445 = 2*s, -2*s - 3*i + 1590 = 0. List the prime factors of s.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -252.9152 to 0 dps.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.037 - -0.037. Let w = -8 - -3.7. Let r = 4 + w. Which is the smallest value?  (a) y  (b) r  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*z - 6*z + z)*(-4*z**2 + 4*z**2 + 2*z**2) + (7*z + 712 - 710 - z)*(z**2 + 3*z**2 - z**2) to s*z + h + v*z**3 + p*z**2 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 194742113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2665 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2*h**2 + 4)*(-2*h + 5*h + 6*h + 1) in the form i*h + q + r*h**2 + w*h**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 3*f + 5*r - 53, -22 = -4*f - 2*r. Let u be 2\/6 + 11\/3. Solve -u = -f*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 2. Let w be 1*(b - (3 - 3)). What is the third derivative of -4*g**w + 2*g**2 + 0*g**2 + g - g wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1550 divided by 10\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2218)\/(-1) + 1)\/1. Let t be (6*10\/(-60))\/(-2 + 217\/109). Suppose t = 12*n - s. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51 * 149.441.\nAnswer: -7621.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*l + 6. Let k = 205\/12 - 65\/4. Let m = k + -1\/3. Put l, 2\/23, m in ascending order.\nAnswer: l, 2\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -215*g**4 + 971*g**2 - 92040*g.\nAnswer: -2580*g**2 + 1942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j**3 - 2 - 224*j + 24544*j**2 + 224*j - 24544*j**2.\nAnswer: 6*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - 135855250?\nAnswer: -135855229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1581 divided by -952.\nAnswer: 93\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 e when four letters picked without replacement from {m: 15, e: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/6)*x**(-4)\/x*x*(x\/((x\/(x*x*x**(4\/5)*x))\/x))\/(x**(-1\/5)\/x) assuming x is positive.\nAnswer: x**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c = -c + 2*t + 39, c - 4*t - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2455680 (base 9) to base 12.\nAnswer: -545246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 6*l**2 + 43*l + 32. Calculate x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 2*g - 46, 3*f - 4*g = f - 2. Suppose -5*d = 4*q - 204, -q + f*d + 76 = 4*d. Suppose 3*h + h = q. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -7706\/9 and -857 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1369*h**3\/7 + 161893685*h**2\/7 - 17502032*h\/7 + 473028\/7.\nAnswer: (h + 118257)*(37*h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(9\/4)\/a**(-3\/5))\/(a\/(a*a*a\/a**(-33)*a)*a**33\/a))**(-2\/23) assuming a is positive.\nAnswer: a**(-137\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*a**2 + 15*a**2 + 0*a**2 - 11*a**2 + 3*a**2 + 16*a**2.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 247, 5, 22 in descending order.\nAnswer: 247, 22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {e: 5, k: 2, d: 4, u: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of m**4\/2 + 5*m**3 + m**2\/2 - 7*m - 12. List the prime factors of u(-7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -151 - 2*u**2 + 6*u - 168 + u**2 + 310 as g*u**2 + d + h*u and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3548 and 44.\nAnswer: 39028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**13*h))\/(h*h**10\/h)*h*h\/((h\/(h*((h*h**(-5\/6)*h)\/h)\/h))\/h*h)*h**(-3\/14))**(-4\/17))**(-23) assuming h is positive.\nAnswer: h**(-42596\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or -205\/21?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2992, 2943, 2816, 2575, 2184, 1607, 808?\n\"Answer: -6*v**3 - 3*v**2 + 2*v + 2999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 960993 + -4?\nAnswer: 960989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1233 equal to 16026\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 - -1.3. Let k = -255 + 258.67. Let i = -1.67 + k. What is the closest to n in 1, -2\/5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72651 is divided by 1050?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6705*v - 2943447. What is m(439)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k - 19. Let b be i(-8). Solve -4*d + 5*m - 3 = 0, b*d + m - 18 = -0*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 29*i**2 - 63*i - 28. Let h be x(-31). Solve 0 = -3*p + 5*f - 2, -2*p = -h*f + 5*f - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 7*m - 6*m - 4*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*k**4 - 193*k + 16116.\nAnswer: 40*k**3 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = o + 50*j - 45*j, 5*j = -4*o + 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -191, -770, -1743, -3104, -4847?\nAnswer: -6966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 170\/(-8)*(-19896)\/12435?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6439738 to the power of 1\/2, to the nearest integer?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 34 = 11. Let u = p + 14. Let r be (-2)\/3 + 101694\/u. What is r rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 359c3 (base 13) to base 15.\nAnswer: 1e218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020002220 - -2?\nAnswer: 1020002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/1199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.8, 34, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4417019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l - 2. Let v = -5 - -8. Determine k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12122 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {h: 10, m: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13557755 + 4?\nAnswer: -13557751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -41?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of 5*s**3 + 0*s + 29*s**2 + 0 - 1\/30*s**6 + 0*s**5 + 0*s**4. What is the first derivative of t(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 314 + -642. Let f = -119 - x. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (3 + -1 + (1 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**48*(v**0)**(2\/87)*((v\/(v*v**0)*v)\/(v**(-7)*v))\/(v\/v**(2\/7))**47 assuming v is positive.\nAnswer: v**(-522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*c**5\/5 - 12009*c**4\/5 + 1138884*c**3\/5 - 7682352*c**2\/5 + 7956768*c\/5 - 1401264\/5 = 0 for c.\nAnswer: -526, 2\/9, 1, 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 11) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 4*j + 12. Let y be g(-6). Is y <= 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14374037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1049329*x**4 + 650585*x**2 wrt x?\nAnswer: 25183896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 47427.56m in kilometers?\nAnswer: 47.42756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*y + 402330 = -160*y + 327*y. What are the prime factors of y?\nAnswer: 2, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7\/22 - 2\/11. Let a be ((-8)\/4 + 4 - -1)*9. Let g be a\/(-21) - 8\/(-28) - 1. What is the nearest to g in d, 0.6, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19137299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25\/3 - -8. Which is the nearest to -2\/5?  (a) 1\/2  (b) -5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 4. Let c be (0 + r)*(-1)\/2. Let s(z) = -z**3 + 2*z**2 + 4*z - 3. Let m be s(2). Solve c*l - l = m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2)\/c*c)**(-18\/11)\/(c**(-9)*c\/((c**(1\/6)*c)\/c)) assuming c is positive.\nAnswer: c**(755\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(209) + 5*sqrt(209)*1)\/(sqrt(44)\/(-2*sqrt(4) + sqrt(4))))**2 + 1)*-1.\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15 - -3. Let s be (-4)\/z*(18 - 6). Find the second derivative of 53 - 53 + 10*h**s - 11*h wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 - (18 - 3) - (-17 + 2) - -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 14049 + 14049 = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(133)\/(sqrt(7)*-3) + 1*sqrt(931)) + 0 + 4 + (sqrt(684) - (-5 + (sqrt(684) - (sqrt(684) + -1 + sqrt(684))))))**2.\nAnswer: -1024*sqrt(19)\/3 + 78400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18493 - 18488. Solve 167 = s*t - i + 175, -5*i = 2*t - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 187 + -126. Calculate the remainder when p is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15674628 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (81\/(-12))\/((-582)\/288 - -2). Calculate the highest common factor of t and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvdavdv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 0, -4, 3, -1 in ascending order.\nAnswer: -4, -1, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -3 + 6 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 873?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -1. Let j = 4307\/3 - 1434. Which is the closest to -0.2?  (a) j  (b) 0.5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 634*d**3 + 17*d**2 + 4*d - 121*d**3 - 2*d**2 + 2*d**2.\nAnswer: 513*d**3 + 17*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -4*p + i, -4*i + 125 - 156 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25355\/18 + 1410. What is the common denominator of m and -37\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 143 + -151 - (1 - -27).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2 + 526133*k + 2 - 4 - 526135*k. Let t = 1 - 2. Let x be u(t). Solve -6 = 5*h - h - x*n, -4*h - 10 = 2*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 11.34, 3, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 2:15 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -5, 2, -2 in descending order.\nAnswer: 11, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, -0.5, -3, 6\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/13266 and -34\/1353.\nAnswer: 543906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus -2318516541142?\nAnswer: 2318516541143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1161 divide 3493449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10328*s**2 + 10317*s**2 - 3*s + 2*s + s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 3*(-549)\/(-135))\/(0 + -1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 7\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = n + f + 19, -3*n + 2*f = 67. Let m = n - -44. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((t + 0*t - 3*t)*(2*t**2 + 0*t**2 - 4*t**2) - 2*t**3 - 2*t**3 + t**3)*(t + 0*t + 0*t) as n*t + y*t**3 + m*t**2 + r*t**4 + o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000640308061 rounded to 6 dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from ubuqzuuubzzubuuzuh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 56322*d - 56318. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 40*i - 138. Let x be s(4). Suppose 6*h = x + 26. What is the smallest common multiple of h and 1322?\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 296 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*1)\/(((-1185)\/12087)\/(4\/12)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 34 = 4*w - 11, 2*a - w = -1. Let f = -296.7 + 311. Let q = 14 - f. What is the second biggest value in q, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**2 + 5*q + 5. Let g be x(-1). Suppose 0 = -g*f + 2*c + 269508 + 1196498, 0 = 2*f + 3*c - 1465991. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42 - ((11 - 3) + -15)) + 13 + -8?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -4*s - u - 5, 3*s - u - 34 = 0. Is 9 a factor of (-38)\/(-4) - (-5)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1952847 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: Solve -2*k - 41 = -5*n, 3*n = -15*k + 17*k + 27 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**2 - 17*w**2 - 4*w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 0.1823377?\nAnswer: 1.1823377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -5*r - 2, -4*r + 1 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -9*t**3 + 3*t**2 - 77. Let u(b) = 65*b**3 - 22*b**2 + 537. Determine 15*c(d) + 2*u(d).\nAnswer: -5*d**3 + d**2 - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -494, -69, 4, -0.5, -0.8, -3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + f - 5 = 0. Suppose f*g = g + 8. Calculate the lowest common multiple of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 11:24 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -310527, -5, -4, 1\/3 in increasing order.\nAnswer: -310527, -5, -4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 27 = 3*m, 4 = -0*m - m. Let x be (28\/(-12))\/(1\/u). Suppose -l = -n - 9, 15 = 2*n - x*n. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*d - 45 + 8, -2 = 4*d + 2*x. Is 4 + d\/(12\/(-688)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3044588, -3044006, -3043036, -3041678, -3039932, -3037798?\nAnswer: -3035276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 924059884?\nAnswer: 2, 11, 229, 293, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 + 2.2. Let d be ((-1 + 2)\/(-1))\/((-1)\/2). Which is the second smallest value?  (a) -2  (b) o  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -88 - -91. Suppose 0 = i - 5*f + 24 - 261, -n*i + 3*f + 675 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 + 85*c.\nAnswer: c*(c + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from krookorr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -43958574.\nAnswer: -8791714.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 32  (b) 183\/151  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(76) + -1)**2*-2 - (3*(-1 + sqrt(76)) + sqrt(76) - (0 + (sqrt(76) - sqrt(76)*-1)))**2.\nAnswer: -465 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 16153 (base 7) to base 14\nAnswer: 192a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1758324 or -1758321?\nAnswer: -1758321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 29793279521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 56. Suppose 0 = 2*j - 31 + 11. Suppose 48 = 2*r + j. What is the remainder when a(0) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 10*b + 293. Determine c(-6).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46 and 3726?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 7*x + 12. Suppose x = 2*a - 3*w, -w + 20 = -2*a - 5*w. Let z(k) = -k - 8. Calculate z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**2 - 231*f**5 - 359*f**5 + 103*f**5 + (-2*f**2 - 4*f + 4*f)*(-4*f**3 + 2*f**3 + 3*f**3).\nAnswer: -489*f**5 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -88 (base 10) in base 7?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f - 13. Let u(h) = h + 6. Let l(r) = 2*b(r) + 5*u(r). Let n(x) = 38*x + 346. Let p be n(-9). Determine l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 2:21 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**3 + 28*q**3 - 4*q**4 + 3*q**4 + q**2 - 26*q**3 + 212*q + 28*q to i*q**4 + v*q**2 + g*q + k*q**3 + d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 50944 - 2553?\nAnswer: 493a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-1 + 3\/1). Suppose 2*t = v*a - 62, -t - 47 = -4*a + 14. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31535 is divided by 1500?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f - 13283 = -13435 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (5 + (2 - -1) - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*a - 0*a. Let b(w) = -a*w + 7*w + 0*w**2 - 9 + 3 + 2*w**3 + 3*w**2. Let m(j) = -3*j**3 - 4*j**2 - 6*j + 7. Calculate 6*b(t) + 5*m(t).\nAnswer: -3*t**3 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -11\/6, -3, 0.05, -6, -9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 4*j - 6. Let k be x(5). Let n = k - -1. Suppose n = -5*u + 4*p + 1 + 3, 0 = 4*u + p + 1. Solve u*h = -2*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o - 2*o**2 - 3*o + 25*o**2 - o.\nAnswer: 23*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6915.\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9625 - 434?\nAnswer: -10059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 217 + -188. Solve 5*a = -2*w - 1 - u, -5*a = -5*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -50, -1, -1\/13, -2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3006, 5339, 7686, 10053, 12446, 14871, 17334, 19841?\nAnswer: 22398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 71*a**5 + 3*a**4 + 12*a**2 + 3. Let m(t) = -71*t**5 - 4*t**4 - 11*t**2 - 4. Let u(h) = 4*b(h) + 3*m(h). What is the third derivative of u(v) wrt v?\nAnswer: 4260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dede when four letters picked without replacement from {d: 4, e: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 + 7070*w - 786600.\nAnswer: -2*(w - 3420)*(w - 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1238 divided by 57?\nAnswer: 1238\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 6918282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/((c*((c**(2\/21)*c)\/c)\/c*c)\/c)))\/c*c*c**(-30) assuming c is positive.\nAnswer: c**(-628\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 12548, 25183, 37818, 50453, 63088?\n\"Answer: 12635*j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -25179, -25178, -25177, -25176?\n\"Answer: j - 25180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 3*f = 4*q - 20, 2*q + f - 5 = 0. Let n be 2\/3*(1 + (-2 - q)). Which is the second smallest value?  (a) -2\/11  (b) 5  (c) 0  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -110\/619 + -24611\/32188. Find the common denominator of 1\/39 and r.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3060 and 30?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1186 times -585\nAnswer: -693810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 12 + 39 - 108 = 0 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(-3)\/(-18)*(-4)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -71942.14 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 times 19004\nAnswer: 114024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 8*r**2 + 444*r + 4860. Give l(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -8. What is the common denominator of 157\/12 + (-2)\/(-12) and 10\/u*33\/(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (295\/(66670\/(-3729)))\/((-42)\/(-8))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 2*y + 2, 3*y - 45 = 3*v + 2*v. Let a = -6 - v. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 22 = q. Let r be q\/77 - 146*3\/(-210). Is r <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -192*g + 37*g - 11*g + (0 + 1 + 1)*(-g + 2 - 2) + (-4*g + 6*g + 2*g)*(6 - 4 - 5) + 2*g + g - g to i + v*g and give v.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22688379 and 32411970?\nAnswer: 226883790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h + 14 = 0. Suppose -3 - 19 = -2*f + 5*v, 0 = 2*f - 3*v - h. Let b(j) = -5*j + 30. Let q be b(5). Solve -q*a + f + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*j - 75041 - 17849. What are the prime factors of j?\nAnswer: 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 16. Let c be o*(2 + 12\/2). Suppose -4*d + 3*d = -c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + k = 8, -3*h + 14 = -4*h - 5*k. Calculate the smallest common multiple of 4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2332*y = -2*z + 1168*y + 1166*y - 28, y - 17 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 5*w - 2*w = -0*a + 10, -6*a - 19*a - 3*w + 166 = -12*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 - 21*h + 2. List the prime factors of x(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**3 + 13880*z**2 - 4816825*z - 9689210 = 0. What is z?\nAnswer: -2, 409, 2369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45086153.\nAnswer: 7, 421, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 36 = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -19*k - 17. Let a(u) = 9*u + 8. Let n(b) = 7*a(b) + 3*y(b). Let i(h) = 5*h + 4. Let p(q) = 5*i(q) - 4*n(q). Let v(c) = 3*c**2. Determine p(v(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y**3 - 21*y + 0*y**2 - 8*y**2 + 16*y**2 - 10*y - 9*y to j + f*y + a*y**2 + c*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96 by 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 7:58 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 483*g - 1033 = 179 - 246. Sort 0.09, 17\/3, g in increasing order.\nAnswer: 0.09, g, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*t - 2. Let i(x) = -7*x**3 + 5*x**2 - 5. Let j(a) = -4*a**3 + 3*a**2 - 3. Let p(q) = -4*q - 135. Let y be p(-35). Calculate t*i(c) + y*j(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/331, 2\/5, -0.025, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 750 = -2*n, 2189 + 831 = -4*g - 3*n. Which is smaller: g or -760?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4256697953 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(252) - sqrt(252)*-2)\/(sqrt(144)*3))**2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2117000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 22 = 9*n - m, -4*m = -8. Sort n, -2, -35.\nAnswer: -35, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of -r**4\/24 - 2*r**3\/3 + 6*r**2. Suppose 0 = 2*a + a + 18. What is t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0\/f**2*(f\/f**0)**(5\/8))\/((f*f**0\/f)\/f*f**(-6))**(3\/4) assuming f is positive.\nAnswer: f**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 12:16 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-3 + 1 + -2). Suppose d = h*d - 180. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1815226 to the power of 1\/2, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5 + sqrt(19)*-1 + -3 + sqrt(38)\/sqrt(2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28518710 divided by -214.\nAnswer: 133265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 132901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 680583494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 7:49 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = a. Suppose a = 4*v + 52 - 376. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*u - 16, 4*u + 0*u + 3*w = 13. What are the prime factors of 4*u - 3\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-972)\/1701 - 22\/(-5)*(-60)\/(-21). Solve -26*r + 2*y + g = -28*r, 0 = 4*r + 3*y + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 48239128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 2:10 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003870886 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 10 = -4*z. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.12 times -363\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 591690297 to the nearest integer?\nAnswer: 24325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1299*u - 473552 + 465758 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1411290929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 498089 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b - 4. Let h(t) = -t - 1. Suppose 4*n - 7 = 5. Suppose n*q - 4*x - 12 = x, -q = -4*x - 4. Determine q*s(u) - 18*h(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11505121 (base 10) to base 6\nAnswer: -1050332241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 556 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 847194*p**4*q - p**3*q + 367*p**2 - 578*p*q wrt p.\nAnswer: 20332656*p*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 10:31 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -11*r + 7*r - 2 - 46*r. Let t be u(2). Is (-3)\/(0 + 9\/t) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p - 43498 + 44930 - 2*p to the form z*p + n and give n.\nAnswer: 1432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -179352*a*o*p**3 + 2*a*o + 2*a*p**2 - 745*a*p - 60*p**3 wrt o.\nAnswer: -179352*a*p**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3*r**2 + 3 + (155*r - 490*r + 178*r)*(3*r - r - 4*r).\nAnswer: 317*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 119, 133, 173, 251, 379, 569, 833?\n\"Answer: 2*i**3 + i**2 - 3*i + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131200 + -122022?\nAnswer: -313222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -30*t**2 + 8*t + 20. Calculate f(4).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**3 + 4*p**3 + 2*p**2 - 2*p**4 - 2*p**3 + 1 + 4*p**3 to u*p**3 + o + b*p**4 + t*p + c*p**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36 + 300*v**2 - 23*v - 298*v**2 - 11*v.\nAnswer: 2*(v - 18)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 141475 + 3?\nAnswer: 141500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 19*y - 20*y. Let s = -18 + 21. Calculate the smallest common multiple of y and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*j - 2*j - 1425 = 44*j + 1407 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -80*d + 227. Let w be g(-17). What is the greatest common factor of w and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and -28.6472.\nAnswer: -200.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 31 = -425. Suppose -984 = -c*m + 16*m. What is the greatest common divisor of 32 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 750633.\nAnswer: 3, 13, 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 - 23*y - 90.\nAnswer: -(y + 5)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 0, -2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 279871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87103?\nAnswer: 87103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 58196*d*v**3 - 2*v**3 - 10*v**2 - 4965*v with respect to d.\nAnswer: 58196*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, n: 6, i: 4, g: 1, a: 2}. Give prob of sequence iaig.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0*n - t = 2, -n = 2*t - 3. Sort -1, -8, 4, n in ascending order.\nAnswer: -8, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1724 is divided by 1716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1030411222 (base 6) to base 13\nAnswer: 2365217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 6113681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2106)*1)\/(-3*sqrt(18)) + 1 + 1)**2.\nAnswer: 8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2. Let g be (-10794)\/(-1956) - 8\/(-48)*-33. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 27537, 27547, 27557, 27567, 27577, 27587?\n\"Answer: 10*j + 27527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2\/3  (c) -3\/4  (d) 1.368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4721105?\nAnswer: 5, 197, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004435979728 rounded to seven decimal places?\nAnswer: -0.0004436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84791, -84789, -84787, -84785, -84783, -84781?\nAnswer: -84779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 - 4*y**2 + 3 + 4 - y**4 + 2*y + 5 + 2*y**3 in the form m*y**4 + g*y**2 + a*y**3 + u*y + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*f + 4, -2*f + 3*b = -0*f. Is f\/9 + (-66130)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (2 - 3 - (3 + 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 473*k - 1070. Let w(n) = -370*n**2. Calculate v(w(g)).\nAnswer: -175010*g**2 - 1070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -89698592 > -89698592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60417 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -112.36 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*((-32)\/(-50))\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-21))\/(232\/84). Which is the closest to w?  (a) -2  (b) 1\/2  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(3\/2)*d)\/d**10)**(11\/9) assuming d is positive.\nAnswer: d**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129 + 16*i + 522 - 124 + 29*i - 134 - 133.\nAnswer: 45*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -11. Suppose 0 = 4*h - 8, 2*h - 94 = -j*x + 38. What is the units digit of x\/(-12)*(-9)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404 is divided by 143?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.07 and 679.04.\nAnswer: 47.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (14\/4)\/(2\/4) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9189 is divided by 452.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 38 = -108. Let j = l - -43. Solve -j + 0 = 2*y + 4*u, y - 2*u = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 - 4*o**2 - 2*o - 3. Let z be s(-3). Let k(w) = 7*w**2 + 7*w + 2. Let q(g) = 4*g**2 + 4*g + 1. Give z*k(b) + 11*q(b).\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18798, 18799, 18800?\nAnswer: 18801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*z + 770 = 45*z + 37*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*n - 7*n - 8. Suppose -2*l = -0*l - n. Let x(f) = f**2 + f. Let o(z) = -z**3 + 7*z**2 + 7*z. Give l*o(g) - 14*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 4:53 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 879067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 54 in ascending order.\nAnswer: -2, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -87, -165, -243, -321?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8587*l**2*v**3 + 3*l**2*v**2 - 5*l*v**3 - 146*l*v**2 - 50*v - 1 wrt v.\nAnswer: -51522*l**2 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((3*(sqrt(2299) + 2) + sqrt(2299) - sqrt(2299)) + (sqrt(2299) + -2)*-3)*5*-6)**2.\nAnswer: -777600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - c + 2. Let u be i(0). Let o = u - 14. Let t(g) = -g - 8. Let w be t(o). Solve 4 = -w*b, 3*q + 11*b + 11 = 6*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 580*m - 162*m + 2 - 163*m - 209*m to the form o*m + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {d: 2, o: 2, y: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 181*o**4 - o - 5727.\nAnswer: 2172*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 352508581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 128887093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 0, -2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*l - 27*l + 412*l**3 - 2*l**2 - 414*l**3 + 9*l**4 in the form c + o*l**3 + u*l + b*l**2 + m*l**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2770?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**6\/15 + 45*a**2\/2 + 43*a. Differentiate j(p) with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4555131?\nAnswer: 3, 7, 216911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.13, 19.564, 0.3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13235 + 13235 + 6*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(156)\/sqrt(3) + -5)**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 970 (base 10) to base 6\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, s: 7, d: 2, i: 5}. What is prob of sequence ds?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4000*h + 35. Let x(t) = -2171*t + 19. Let i(b) = 19*a(b) - 35*x(b). Let r(w) = -2*w + w - 10*w. Give i(r(y)).\nAnswer: 165*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + n - 1. Let w(u) = -3*u**2 + 2*u - 3. Determine -4*g(b) + w(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311.2947 millennia to years.\nAnswer: 311294.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00044478 rounded to six dps?\nAnswer: -0.000445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -s**7\/21 + s**6\/15 + s**5\/5 - s**4\/3 - s**3\/3 + s**2 + 3*s - 1. Let h(y) be the first derivative of p(y). Factor h(t).\nAnswer: -2*(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -135*c**3*s**2 + 3*c**3*s - 3*c*s wrt s.\nAnswer: -270*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iltillllikmilnt. What is prob of sequence tll?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 739720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 2*q**2 - 29*q + 102. Calculate the remainder when 759 is divided by f(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 642 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*i**2 - 63*i**2 - 36*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a kilogram in grams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 3. Let p be (2 + i)*6\/3. Let u = p + 2. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**7\/2520 + y**6\/144 + y**5\/40 + y**4\/3 + 12*y**2. Let r(j) be the second derivative of o(j). Give r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/100 and 109\/220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k - 5. Let d be (3\/(-6))\/(4\/8). Let f(s) be the first derivative of -s**2\/2 + s - 1. Calculate d*n(t) - 3*f(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 4 = 4*h, 135*p + 3*h - 7 = 134*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1362 + 1734. Do 372 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(2\/31)\/n)\/(n*n**5*n))**41 assuming n is positive.\nAnswer: n**(-7544\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 4) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -4*b - 8, 3*h - 13*b - 4 = -11*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33 + -154 - -57) + 148?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**6\/720 - c**5\/30 - c**4\/6 - 2*c. Let u(z) be the third derivative of d(z). Let m be (6\/8)\/(1\/(-8)). What is u(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1375 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r + 0*r - 4*r)*(-85 + 53 - 4*r + 48) + 3*r**2 + r**2 - 5*r**2 + (-4*r + 2*r + 0*r)*(-3 - 2*r + 3) to the form t + k*r**2 + i*r and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -89  (b) -1\/14  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7415315393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 41818316 greater than or equal to 41818317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -1099088*a + 4. Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3141365?\nAnswer: 5, 19, 43, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 4 - 18)*(-5 - 2*z**3 + 5) - 3 - z**3 + 3 - 3*z**3 + 2*z**3 + 2*z**3.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 37, 43, 51, 61, 73?\n\"Answer: a**2 + 3*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 7:09 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 + 10*w - 8. Let n be b(-11). Solve -9 + n = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2843 + 2779 = -49*t + 169*t - 738 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*a - 4*a + 80 = 0. Sort a, 5, -3.\nAnswer: a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 318  (b) 1  (c) 2\/77  (d) 694\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -18309.87 times -1.56\nAnswer: 28563.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144 (base 5) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*n**2 - 24*n**3 + 56*n**2 - 14*n**2 wrt n.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**4 - 168*b**3 + 3690*b**2 - 6724*b.\nAnswer: 2*b*(b - 41)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39064 and 3200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 1. Suppose y + 5 - 1 = -o, -4*y + 12 = -a*o. What is the third derivative of -6*m**3 + y + 0 + 2*m**2 + 5*m**3 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*b - 1 - 3, 14 = -4*b + 3*l. Let f be (-3)\/b - (-10 + 12). Let z be (-70 + 0)\/10 - -1. What is the second biggest value in -3, f, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 16) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -88, -2, 5, -4, -3.\nAnswer: -88, -4, -3, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1400*p = 1399*p + 5644. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-538 - 449 + 41 - 671 + 9*g + 339)*(-6 - 2 - 9) as w*g + k and give k.\nAnswer: 21726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/17, 0, -28\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w**2. Let f(y) = 3*y - 249. Calculate d(f(r)).\nAnswer: -27*r**2 + 4482*r - 186003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*c + 312 = -115*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(2057) - (-1 + sqrt(2057))) + -1 + sqrt(2057) + (-1 + sqrt(2057))*-3)**2*-1)*-4.\nAnswer: -528*sqrt(17) + 32932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 - -3.2. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 2. Let x be 6 - -14 - (-1 - -1). Suppose -3*i + 4*a + 10 = -10, 4*a + x = 0. Put i, 3, n in descending order.\nAnswer: 3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -989*k**2 + 341*k**2 + 334*k**2 - 3*k**2 + 343*k**2.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-8)\/20*-5. Let r be ((-4)\/(-12))\/(b\/30). Let h(t) = t**3 - 4*t**2 - 3*t - 3. Calculate h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2. Let w be (0 - 2)*1*k. Let q(z) = z - 3. Let v(p) be the third derivative of 5*p**4\/24 - 13*p**3\/6 + p**2. Give w*v(i) + 9*q(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-21)*(-21)\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 583  (b) 13.8  (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 - 105. Let d = z - -93.000067. What is d rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 19*n - n - 77*n - 1.\nAnswer: -59*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = w - 2*a + 25, -53 = 3*w + 5*a. Let b = 13 - w. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -697.55119 + 432.54982. Let i = p - -265. What is i rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(153)*-4 - sqrt(153)) - sqrt(153))*-3)\/(sqrt(18)\/(sqrt(2)*1) - sqrt(90)\/sqrt(160)).\nAnswer: 124*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (0 - (22 + -6)) - (-2 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -50 + -24938?\nAnswer: -24988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.26 - -1.74. What is the nearest to -2 in -2\/7, k, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, k: 7}. What is prob of picking 2 e and 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5060 = -154*d + 209*d. Calculate the remainder when 158 is divided by d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g = 8*g + 10. Suppose -g = -u + 2. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 5*p. Let d(k) = -7*k + 14. What is u(d(m))?\nAnswer: -35*m + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -9*y**2\/2 - 111*y + 230. Let b be g(-29). What is the greatest common factor of 120 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -336654 in decreasing order.\nAnswer: 5, -1, -336654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10132 - 2120103?\nAnswer: -2104421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60, 84, 110, 138, 168?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 11*x**2 + 19*x + 27. Let g be ((-12)\/(-8))\/(-6*(-1)\/32). Is l(g) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 3\/2  (c) 0.3  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of 2*p**7\/21 - 47*p**6\/30 - 125*p**3\/6 + 81*p. What is the second derivative of k(f) wrt f?\nAnswer: 80*f**3 - 564*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2505)\/2171*(-2)\/(-10)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4 = 7*x. Let z be (-3)\/(x*3)*-22. Let a(r) = r**2 + 11*r + 3. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -36, -72, -106, -138?\n\"Answer: s**2 - 39*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4963 + -2113. Does 50 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -582*l + 51920 = 3983*l - 142554 - 74861 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -951 = -0*z - 3*z. Suppose -7*h + 110 = -z. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -5*u - 10, -u + w = -w - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 - 20*a - 9. Let h be q(14). Let o = h + -94. Solve 4*i + 5 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**4 - 20532*g**2 + 3*g + 126506.\nAnswer: 4*g**3 - 41064*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 7*v + 6. Let h be m(6). What is the remainder when 10 is divided by h\/16 + (-26)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -53*j**2\/2 - 2*j + 10. What is the remainder when t(-2) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9031 and 27563433?\nAnswer: 303197763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -4. Let l be (-7)\/(-2)*(q - 4). Let k be -5*-1*l\/(-2). Calculate the greatest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -8 - 19. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -0.1, 3, 1.17, -0.5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86 - 33. Let n = i + -57. Suppose -3*f = -f - 12. Which is the third biggest value?  (a) n  (b) f  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c (base 14) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2089954 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -56 by 266968.\nAnswer: -7\/33371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13890241 - 40?\nAnswer: 13890201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n - 4. Let z(q) = -3*q - 3. Let a(b) = -5*f(b) + 6*z(b). Calculate the common denominator of ((-1)\/6)\/((-2)\/34) and a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 4*v + 1076, -545 = -2*b - 3*v + 8*v. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/21, 3\/7, 3, 61\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 5*j**2 + 6*j - 4. Let t be f(-6). Let n be (42\/(-28))\/((-2)\/t). Suppose 0 = 4*b - 11 - 1. Put -1, -2, n, b in decreasing order.\nAnswer: b, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1984868 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/240 and -27\/1040.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 23386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-7)\/((-14)\/(-6)) - 4383\/(-1374) and (-11)\/(-2)*((-990)\/(-90) + 29\/(-2)).\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 850 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7943 - -8677. Solve -s = 3*g - 731 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 205886*a**3*j + 95*a**3*l + 194*a**2*l + 12018*a*j*l + a*j + 2*a*l wrt a.\nAnswer: 1235316*j + 570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d6 (base 15) in base 9?\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -78*n**2. Let k(f) = 8*f. Determine q(k(j)).\nAnswer: -4992*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -i**2\/7 - 2830158*i\/7 - 2002448576241\/7 = 0.\nAnswer: -1415079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 42924.07nm in kilometers?\nAnswer: 0.00000004292407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4869113.\nAnswer: 389, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 3 + sqrt(19) + sqrt(19) - (3*sqrt(133))\/sqrt(7))**2 - (5 + (sqrt(171) + 0 + 3 - sqrt(171))).\nAnswer: 2*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-2 - -6 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 - -5)\/((-2)\/(-530636)*-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 6*u**2\/7 - 119614*u + 558196\/7 = 0.\nAnswer: 2\/3, 139549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.4  (b) -6\/11  (c) -1237  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1420.50357 rounded to zero dps?\nAnswer: -1421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*h + 1 + 18*h + 2 + 2 in the form m*h + b and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 v when four letters picked without replacement from jvjvvvdvdddvdvnvnv.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 11 = -5*a, 0 = d - 3*a - 4 + 5. Let t be (0\/d + -6 + 6)\/(-2). Let f(s) = s**2 - 12*s + 13. Let w be f(11). Do w and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 1:56 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 71 - 69.95. Let w = a - 0.893. What is w rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 3709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (2 + -1 - (1 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 15*l + 3. Let i be c(15). Suppose -405 = 3*s - i*f, 0 = 2*s + f + 204 + 75. Let a = -32 - s. What are the prime factors of a?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.08 - -0.72. Let u = -1.8 + p. Which is the smallest value?  (a) 5  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16946 + -8590. List the prime factors of x.\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y - 530 - 2*y - 520 + 1065.\nAnswer: -y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64\/5423 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = -3*k + 3. Suppose w + 7 = -8. What are the prime factors of k\/w - 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 41*h - 25. Let b be a(-3). Does 11 divide b\/6*48\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 65 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16169\/60 + 539\/2. Let i(g) be the third derivative of 0*g**4 - w*g**5 - 11*g**2 + 0 + 0*g + 0*g**3. Let d(f) = 2*f**2. What is i(d(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2807120 is divided by 5335?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-12))**(2\/101) assuming r is positive.\nAnswer: r**(-24\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*s - 3*b - 11, 3*s + 2*b + 1 = 0. Let w = s - -1. Suppose w*k - 5*a + 12 = -0*a, -a - 6 = -5*k. Solve k*i = -2*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -c**3 + 4*c**2 + 437*c = 0.\nAnswer: -19, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003982785557 rounded to seven decimal places?\nAnswer: 0.0039828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*t + 3 = 2*p, -5*p - t + 19 = 0. Let f be (2\/1)\/(2\/p). Solve a - 10 = -f*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/1086293 and -8\/559.\nAnswer: 46710599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7841, -7902, -7975, -8066, -8181, -8326, -8507?\n\"Answer: -v**3 - 54*v - 7786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 31*j - 255. Calculate i(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 166, 191, 194, 169, 110?\n\"Answer: -h**3 - 5*h**2 + 47*h + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8612581740 from 1.688.\nAnswer: -8612581738.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -3. Let y be (4\/8)\/(3\/(-12)*5). Which is the closest to t?  (a) -4  (b) y  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/66718524 and 97\/6?\nAnswer: 66718524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**20)**27\/(x**(1\/51)*x*x\/((x\/x**(-37))\/x)) assuming x is positive.\nAnswer: x**(29324\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/11  (b) -0.1  (c) 1\/5  (d) 430  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8502, 16916, 25260, 33558, 41834, 50112, 58416, 66770?\nAnswer: 75198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-27))\/((-14)\/21)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 + -25.8. Which is the biggest value?  (a) 1  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((3\/(-6))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**4\/7 + 56*k**3 - 6376*k**2\/7 - 896*k + 102528\/7 = 0.\nAnswer: -4, 4, 18, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 279 by 4.\nAnswer: 279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6448, 26008, 58608, 104248, 162928, 234648?\n\"Answer: 6520*i**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 4. Let k be c(-2). Suppose -12 = -2*a - k*a. What is the smallest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 9, c: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275 is divided by 79?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*a + 2*z + 78, 5*a + 130 = z. Let m = -3 - a. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**3 + 148*f**2 - 43*f + 3175. What is u(74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**3 - 16*o**2 + 25*o - 3. Let m be s(6). Solve -4*g = -m*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -438 + 26716\/61. Let a(u) = -8*u + 257. Suppose 106 = -18*v + 682. Let p be a(v). Is p less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -395010 divided by -11.\nAnswer: 35910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -425 take away -20?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.8 and -1.4.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + w**2 + 1. Let q be (-1650)\/15*(-3)\/30 + -9. Let n(j) be the third derivative of j**6\/12 - j**5\/10 - j**3 + 7*j**2. What is q*n(u) + 12*c(u)?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6327890?\nAnswer: 2, 5, 211, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -t**6\/120 + t**5\/12 + t**4\/8 + 7*t**3\/6 + 21*t**2 - 3*t. Determine k(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 3 = j, 0*c = -5*j - c - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1488\/(-192) + (10 - (4 + -2)). Let j = 72 - 71.67. Let v = 30.33 - j. Is k != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17223.\nAnswer: 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-122)\/(-8) - (-5)\/(-20). Let g = p - 9. What is the third derivative of 7*b**6 + 5*b**4 - 8*b**2 - 4*b**g - 5*b**4 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88695426?\nAnswer: 2, 3, 17, 869563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = k + 4, 4 = -5*f - 6. Let n = k - -8. Suppose 10 = -2*m + n. Which is the biggest value?  (a) -7  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 24 - (-1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - 12. What is the biggest value in 2, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 283501866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2. Suppose -3*r + 3*p = -645, -2*r - p + 286 = -156. Let t(s) = -7*s**2 - 219 + r. Calculate t(z(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 15 = 2*o, 0 = -c + 9 - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 140 - 140.4. What is the nearest to 2\/21 in -4, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68741034469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**2\/3 - 134732*g - 6807266934 = 0. Calculate g.\nAnswer: -101049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16517935 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5790972 is divided by 248.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {f: 8, b: 7, r: 2, p: 1, d: 1}?\nAnswer: 56\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and 62.34?\nAnswer: 61.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 31 + 17. Suppose 4*q - 2*h = 3*q - 6, 0 = 2*q - 5*h + i. Let d(t) = 3*t + 2 - 6*t - 3*t. Determine d(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2232 - 2012. Calculate the highest common divisor of 2585 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*x - 15 + 32 - 15)*(4*x - 3*x + x).\nAnswer: -54*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-41)\/s**(-1\/18))\/(s**(-1\/36)*s\/s**(-17)*s*s) assuming s is positive.\nAnswer: s**(-731\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 33 + 15*w + 64 + 81 + 27 as i + c*w and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1866 and 30390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 53 = -6*a. Suppose -a*f + 41 = -4*z, -7*f + 6*f + 32 = -5*z. What is the greatest common divisor of 49 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*f - 282 = 88*f - 57*f + 5*v, f - 10 = -3*v for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7756 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -22*t - 83. Let h be k(-4). Let n = -1900 + 1920. Solve -5*o + 4*p = -6 - 10, -h*p - n = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 0*u = -26. Let g(f) = -2*f**3 + 15*f**2 + 2*f - 11. Let b(i) = -i**3 + 7*i**2 + i - 5. Let q(j) = u*b(j) - 6*g(j). Give q(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 503*l - 510*l - 7. Let p(i) = 5*i + 1. Give p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/19*g**2 - 20\/19*g + 50\/19.\nAnswer: 2*(g - 5)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 690 = -83*s - 24*s. Let x(i) = 17*i - 10. What is x(s)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/((t\/(t\/(t*t*t**(-2)*t))*t)\/t)*t*t**(-5)*t**(2\/3)*t*t**(-9) assuming t is positive.\nAnswer: t**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 11*l - 2. Suppose -178*u - 251 - 83 = 22. Let s(w) = -10*w + 1. Calculate u*p(z) - 3*s(z).\nAnswer: 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -472*f + 474*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -13\/1684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*t**5 + 2090139*t**4 - 1212*t**2 + 1590*t - 1 wrt t?\nAnswer: 120*t**2 + 50163336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.215 - -10.115. Let m = x + -10. Sort m, -5, 0.3 in ascending order.\nAnswer: -5, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1485*m**3 + 8*m**2 + 539808*m wrt m.\nAnswer: 8910*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 10:58 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 44*p - 365. What is h(-52)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0702 and 0.04.\nAnswer: 0.1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 207\/(-345)*5\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/((-24)\/(-45)))\/((589\/570)\/(-31)). What is the greatest common factor of 40725 and h?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -64*k**2 + 5*k + 116 wrt k?\nAnswer: -128*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79714.\nAnswer: 2, 39857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17 - -3?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*-1*(-12)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/d**6*d)*d**11 assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15061, -15063, -15065?\nAnswer: -15067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 7, w: 1, g: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/(-18) + 3 - 16\/(-32)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 - (-32 + 24) - -15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*w + 5846, 0*w + 5*d = 3*w - 5870. Let g(q) = -30*q - 218. Let c be g(-8). Suppose -w = -c*o + 9*o. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1038367937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6*d - 25. Let v be s(-20). Let f = 98 - v. What is the units digit of 5\/10 + ((-1986)\/(-4))\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 12 - r**3 + 4*r - 14 - 14 - 2*r**2 to the form u*r**3 + v*r + h + q*r**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -4, 20, -5 in descending order.\nAnswer: 20, 9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m*s**2 - 17*m*s + 4*s**3 + 17*s**2 - s wrt s?\nAnswer: 2*m + 24*s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*w - 235*w - r = -930685, -3*r - 1861390 = -2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.4 - -17.4. Let r = -15.517 + i. Let m = 0.017 + r. Which is the biggest value?  (a) m  (b) -1\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 1162 + 5687. Let t = g - -7852. Let j(i) = -t + 2*i + 3327. Let z(s) = -23*s**2. Calculate z(j(f)).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/416 and -17\/2816?\nAnswer: 36608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 44380?\nAnswer: 44383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -162. Let c be (-1 - x\/18) + 1\/(-3). Suppose c*g = 1100 - 0. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 9*o + 22. Give g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 27, -5 in increasing order.\nAnswer: -5, -4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11435, -10641, -9847, -9053?\nAnswer: -8259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32 - 7535*s + 7534*s + 14 to the form g*s + w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (9\/25)\/((-504)\/420)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2266*j + 2. Let k be u(-4). Let g = 22112 + k. Factor -g*b**4 - 11 - 21 - 576*b - 72*b**4 - 11664*b**3 - 3888*b**2.\nAnswer: -2*(9*b + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1133431 by -87187.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/1326 and -7\/4.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5627 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -36*v. Let z(b) = 757*b**2. What is f(z(s))?\nAnswer: -27252*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-4)*(-18)\/(-9). Let s(n) = n - 1. Let h(m) = 1. Let l(i) = v*s(i) - 2*h(i). Let k = 0 - 0. What is l(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000105668 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5 + -3 + -5 + (2 + -1 + sqrt(720) + -5)*6)**2.\nAnswer: -3168*sqrt(5) + 26404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in -5, 0.5, -91?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 4*a - a**2)*((-a - 2*a + 5*a)*(0*a**2 + 3*a**2 - a**2) - 2*a**3 - a**3 + a**3) + 3*a**5 + 3*a**5 - 5*a**5.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/9  (b) 2  (c) -3\/7  (d) -10.4  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/7, -1, 0, -0.3, -746, -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: 2*14*(5*88\/(-20) - -23)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -62.5*-4\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*a**4 + 2*a - 4*a + 2 - 15*a**4 - 8*a**4 + a**3 in the form w*a**2 + x*a + h*a**4 + i + t*a**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 275318267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12037, 24097, 36187, 48319, 60505, 72757, 85087?\nAnswer: 97507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (49\/(-147))\/((-4)\/(-10))*-2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.2, 2\/17, 3, -49.44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.2 + 2.8. Which is the smallest value?  (a) t  (b) -0.7  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -573*l + 553*l + 100 = 0. Let v(k) be the first derivative of 0*k**2 + 2 - 1\/24*k**6 + 0*k + 0*k**l - 1\/6*k**3 + 3\/16*k**4. Factor v(q).\nAnswer: -q**2*(q - 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 270, 202, 76, -108, -350, -650, -1008?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 10 = 22. Let i = f + 19. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.544 in 2\/7, -0.2, -3, 1\/15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-12)*c*c*c**(-5\/3))**(-3\/35) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12067*c + 7392 = -12375*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -677*v**2 + 9498*v - 223. Determine g(14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645) - 1*sqrt(3645) - (sqrt(45) + (-1*sqrt(270))\/sqrt(6)))\/(sqrt(108)\/(-4*sqrt(1452) - sqrt(1452))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -381, -67, -0.3384 in decreasing order.\nAnswer: -0.3384, -67, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qhqqxhqhqhqehj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-50)\/(-88) - (-8)\/44. Let n = 8646 - 8654. Sort n, q, -0.3, 1 in increasing order.\nAnswer: n, -0.3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -7 - 8. Suppose p*q = 2*a + 109, 3*q + 2*q - a = 170. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*s - 132235 = 1332394 + 88879. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20949 is divided by 511?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.4  (b) 28  (c) -175  (d) -564  (e) -0.3  (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/(sqrt(48) - sqrt(3)))\/(-1*(sqrt(576) + sqrt(9))).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 17 = -l, 4*l = 2*b + 23 - 3. Suppose 0 = -9*w + 10*w - 5*r - 265, -l*w - 3*r = -741. What is the remainder when w is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8221759 by -4.\nAnswer: -8221759\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 297 + -282. What is the remainder when 44 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (128\/224 + 135\/21)\/((48\/9)\/8).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 68, 0.27 in ascending order.\nAnswer: -1\/3, 0.27, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 6*m**2 + m - 6. Let d(z) = -5*z**2 + 5. Let j(i) = -3*d(i) - 2*o(i). Let q = -52 - -49. Does 10 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 2:47 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -35086\nAnswer: 105258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1374.3 + 1374. What is the closest to 8 in c, 0.8, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/14)\/((-3)\/(-7)*-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = -66*w - 23*w + 228. Let j(i) be the second derivative of 40*i - 11\/3*i**3 + 0*i**2 + 0 - 7\/4*i**w. Find the second derivative of j(o) wrt o.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -75*y**3 + 1353*y**2\/2 - 27*y\/2.\nAnswer: -3*y*(y - 9)*(50*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -693*m**2 + 6236*m + 12. Give l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzp when three letters picked without replacement from uzbph.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 3:33 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 1 + 59*u + 775*u - 2 - 1. Let p be i(3). What is p rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 48*v - 2719. Let b be d(57). Sort -3, -2\/217, b in descending order.\nAnswer: b, -2\/217, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - z**2 - 2*z. Let g = 106 - 87. Suppose 0 = -2*v + g - 15. Calculate o(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 1 - p**2 - 2 - 12*p + 23 + 5*p. Calculate the remainder when 7 is divided by k(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1116122 is divided by 48527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**5\/4 - 55*p**4\/12 + 65*p**3\/2 - 225*p**2\/2 + 117*p + 1. Factor j(u).\nAnswer: 5*(u - 5)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 92.1603cm?\nAnswer: 921603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -909*d**4 - 95357*d**2 + 44759114 wrt d?\nAnswer: -3636*d**3 - 190714*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**3 - 6*q**2 + 18*q - 32. What is the tens digit of i(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -196 - -196. Sort 22, w, 3 in ascending order.\nAnswer: w, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of -w**4\/4 + 11*w**3\/3 - 9*w**2\/2 + 2*w - 2. Let h(u) = -6*u - 2. Let q be h(-2). What are the prime factors of k(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -184961, -370024, -555065, -740072, -925033, -1109936?\n\"Answer: 2*h**3 - h**2 - 185074*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, m: 1, a: 1, z: 10, v: 3}. Give prob of sequence qaz.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.11111 + 0.08889. Put x, -4\/5, 2, -4 in descending order.\nAnswer: 2, x, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 37. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l*l\/(l**(-4)\/l*l)*l)\/l)*l*(l**(-4)*l)\/l)\/(l**(-1\/5))**41 assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4.96?  (a) -0.5  (b) 0.2  (c) 0.5  (d) 15  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11\/4, 2, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (2 - -4) + 2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2825*n - 1325 wrt n?\nAnswer: -2825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*d*j**2*l**3 + 2*d*j + 7*j**2*l**3 + j**2*l + 2*l + 96 wrt l.\nAnswer: 60*d*j**2*l + 42*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 578790 and 4033.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 5*m - m)*(12559 - 6199 + 13053 - 3357 + 6653).\nAnswer: 45418*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, n: 4, s: 1, k: 7, x: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42645895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from bblvhvvvbbbvbbbbb?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(6*6\/(-24)*(-2950)\/177)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(((-20)\/8)\/5). Suppose -5*v + 1 = f*o + 8, 0 = -4*o - 5*v + 1. Determine n so that -1\/5*n**3 - n**o + 0*n + 1\/5*n**2 - 3\/5*n**5 + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1982, -12639, -30418, -55325, -87366, -126547?\nAnswer: -172874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24 - 2*s**3 + 8494256*s**2 - 8494254*s**2 - 87 + s to the form u*s + l*s**3 + x*s**2 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 636*m**2 - 69*m - 64. Is l(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**4 + 212*m**3 - 200*m**2 - 416*m = 0. What is m?\nAnswer: -1, 0, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15214 divided by -6.\nAnswer: 7607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 8*s**2 + 8*s + 5. Let f be z(-7). Let b be 6 + f + 0 + 0. Let j = b + 0. Solve -3*k + j*k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60 + 64. Suppose -b*m + 92 = -20. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(240) + sqrt(240)*-3) + sqrt(240))*-6)\/((1*1*sqrt(96))\/(sqrt(512)*1 + sqrt(512)))*-1.\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 752*t - 866. Is v(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1467400 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18299, 36642, 54973, 73286, 91575, 109834, 128057?\nAnswer: 146238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v + 9*v + 3*v)*(-v**4 - 3 + 3) + (4*v**3 + 0*v**3 - v**3)*(-3*v**2 + 2*v**2 - v**2).\nAnswer: -15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61.1 + -59. Let d = -2.09916 + q. What is d rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-127 - -38) + 9 + 30\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a**4 + 20*a**3 - 4*a - 126. Let k(r) = 5*r**4 + 19*r**3 - 3*r - 125. Let y(b) = 4*k(b) - 3*t(b). What is the first derivative of y(d) wrt d?\nAnswer: 8*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3843\/18 + (-1)\/2. What is the least common multiple of 3\/1*4\/3 and ((-15)\/105 - i\/(-21)) + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(80) + -1 + (2*sqrt(450))\/sqrt(10).\nAnswer: -1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 9*t + 65. Is y(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 9:25 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, -105, -168, -227, -276, -309, -320?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309155.\nAnswer: 5, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pap when three letters picked without replacement from apczzcpzcazzc?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35980 divided by 4.\nAnswer: 8995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7100334 - -19800334. Round p to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 8 = 7*r. Suppose 3*s + r = -4*v + 9, 1 = -v. Let c(d) = -d**3 - 3*d**2 + 3*d. Let x be c(-4). Solve -5*p + 21 = x*k, s*k - 2*p - p - 9 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120 - -172. Suppose -5*w - 12 = -f. Let n be 2\/4*(w - 0). Solve -k + 5 = n*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*c + 707 = 0, -2*c - 1183 = -5*w - c. Suppose -6*v + 81 = w. Let p = 10 - 5. Sort -2, p, v in descending order.\nAnswer: p, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 1) + (-151 - -114).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -o**7\/2520 - o**6\/30 - 13*o**5\/120 + 3*o**4\/4 + 2*o. Let i(c) be the third derivative of s(c). Is i(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v - 1. Let h(p) = -1668*p**2 + 85. What is k(h(f))?\nAnswer: -6672*f**2 + 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**5\/9 + 4*q**3\/3 - 16*q**2\/9 + 2*q\/3.\nAnswer: -2*q*(q - 1)**3*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 76739.\nAnswer: 15347.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -7 - (-535608)\/(-5) - 4\/10. Let r = -407129 - m. Round r to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pjjpjggpjppp. Give prob of sequence pjgg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 845.4555 kilometers?\nAnswer: 845455500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbqqqqqbqqqqfqb. Give prob of picking 1 f and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1396875 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence glol when four letters picked without replacement from llfglygoyy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2\/16*-4 - 8\/(-10).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2528\/15 + -22242892\/131835. Let g = a - -2\/799. Put 0, g, -5 in ascending order.\nAnswer: -5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 26*l + 1391. What is o(-54)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2\/5)*q)\/q*(q*q*(q\/(q\/q**(3\/5)*q))\/q)\/q)**21*((q*q**1\/q*q*q)\/q)\/q**0*(q**(1\/6)*q)\/q**0 assuming q is positive.\nAnswer: q**(221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-21)*(-12)\/18)\/(-5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 114927320 and 1288.\nAnswer: 804491240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 400*o**5 - 52*o**3 + 14518*o**2 + 3.\nAnswer: 24000*o**2 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1513 plus -3?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2412, 5, 4 in decreasing order.\nAnswer: 5, 4, -2412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - k**2 + k + 1. Let o(g) = 12*g**3 + g**2 - 2*g. Give 2*i(d) + o(d).\nAnswer: 10*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 0.12518?\nAnswer: 0.12518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259010 is divided by 3650?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4540, -4545, -4560, -4591, -4644?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 41 = -0*c - 3*c, 0 = 3*c + 15. What is the least common multiple of (-285)\/(-5) + u\/7 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7, 2, -18, -924?\nAnswer: -924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 y when three letters picked without replacement from {s: 4, n: 5, x: 3, y: 1, b: 1, q: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (24808 - 24808 - 345*z)*((0*z + 0*z + 2*z)*(2 - 1 + 1) + 2*z + 3*z - 3*z) in the form d*z + v + m*z**2 and give m.\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000191386 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -14203 less than 2399?\nAnswer: 16602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 - 624. Let p = -743 - l. Is -94 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 191.77 - 239.77. Put 39, 0.3, x in increasing order.\nAnswer: x, 0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-1) + ((-8)\/(-48) - 300\/45)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(276\/252)\/23*-91*2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2647705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 136.899 - 137. Let c = u - -20.101. Let x be -1 + 12\/(-9) - -3. What is the closest to -1\/3 in x, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 165 + -81.5. Let v = -6.5 + f. Let t = v - 77.0000094. Round t to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**5\/3 - h**4 + 13*h**3\/3 + 9*h**2 - 12*h = 0.\nAnswer: -4, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 1689925 and 1689923 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 + -22. Let n = z + -10. Which is the biggest value?  (a) -0.4  (b) 5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from {p: 7, u: 8, q: 2, z: 1}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -47. Let v = z + 26. Suppose 3*q + v*y = 172, -4*q + y + 209 = -13. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d**2 - d. Suppose f + 0*f = -5*n + 27, f + 4*n = 22. Let l(b) = b**2 - b. Let k(p) = f*a(p) - 3*l(p). What is k(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**5 - 1003*c**4 + 4*c**3 + 2*c**2 + 11464*c + 5.\nAnswer: 60*c**2 - 24072*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.2430981\nAnswer: 1.2154905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/25667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*k + 2*k - 2*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**6\/120 - k**5\/10 - k**4\/3 + 5*k**3\/3 + k**2. Let b be m(7). Solve -b = -3*s + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 - 0.6. Let u = -73559 + 73559. Sort z, u, -10.\nAnswer: -10, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 59 - 98*y + 298*y - 104*y - 99*y - 59. Let v(g) = -3*g + 6 + 31 - 3. Calculate v(q(n)).\nAnswer: 9*n + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3*p = 0, -3 = 4*p - 19. Let q(r) = -r**2 + 7*r - 6. Give q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 482768, 1931086, 4344948, 7724360, 12069328, 17379858?\n\"Answer: x**3 + 482766*x**2 + 13*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -2*u**4\/9 - 87650*u**3\/9 - 939248594*u**2\/9 + 51574571594*u + 103566509100 = 0.\nAnswer: -22149, -2, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 6*d**2 - 4*d + 8. Let z be f(-5). Let m be (-14)\/3 - z*2\/18. Is 11634\/30 + m - 1\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/380 and -157\/15000.\nAnswer: 285000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 46\/(-14) - 1*(-9)\/3. Let p = -0.138 - -6.238. Let y = p + -5.9. What is the biggest value in 0.4, y, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 3*z. Let f(h) = 12 + 2 - h - 8 + 4*h**2 + 7*h. Let y(b) = -b**2 - b - 1. Let v(c) = -f(c) - 5*y(c). What is v(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -709478.3643 to the nearest ten.\nAnswer: -709480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 16*p - 1. Let z(v) = v**2 + 15*v + 1. Let g(a) = -5*i(a) - 6*z(a). What is g(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 116*b**2 + 112*b**2 + 3.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2))**39)**(1\/38)\/(i**(-4)*i*i*i**(-3)*i*i**(-7)\/i*i*i*i**1) assuming i is positive.\nAnswer: i**(132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1566)\/63 - -27)\/(1\/35). What is the highest common factor of m and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -7. Let j(b) = -2 + 19 - 4*b + 2*b. Let a be j(9). Sort o, 1, a in descending order.\nAnswer: o, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 3:56 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -659 + 704. Calculate the remainder when 130 is divided by n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -78*q**2\/5 - 4*q\/5.\nAnswer: -2*q*(39*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.073999182 - 0.074. Round c to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -3. Let d = 3\/7307 - -36529\/14614. Sort d, a, 14 in increasing order.\nAnswer: d, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/(-9))\/(5\/(-100)*20).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4*r + 3*l = 8, 0 = -r - 4*l + 2. Find the third derivative of 0*m**6 - 4*m**r + 2*m**6 + m**6 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 14*s + 579. Let o be r(-41). Solve -5*c = -2*y, -3*c = -o*y - 4*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = r + 5, -3*r - 3*r + 38 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 5, 11, 2.\nAnswer: -3, -1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28.0000326 - -28. Round y to six dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -0.32.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 11 = -4*a, 4*f - 13 = 3*a - 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 9*n**2 + 4*n - 4. Let d(l) = -9*l**2 - 3*l + 3. Suppose -52 = -3*c + 20. Suppose 0 = 2*z - 5*q - 14, -3*z - 3*q - c = z. Calculate z*o(h) - 4*d(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*n = 17*n - 1848. Calculate the highest common divisor of n and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -229594452*f**4 - 79562893*f**2?\nAnswer: -5510266848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -148*q**4*u + 87*q**3*u**2 - 24*q**2*u**2 + 2211*q*u**2 wrt q?\nAnswer: -3552*q*u + 522*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156*n**2 + 2*n - 199*n**2 + 350*n**2 - 2*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -61704 or -62040?\nAnswer: -61704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 9277 = -1537. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i + 3. Let j(t) = -6213*t + 18. Let h(b) = j(b) - 6*r(b). Let c(d) = 3*d. What is h(c(m))?\nAnswer: -18693*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2\/5 - 57*i\/5 + 3348\/5 = 0. Calculate i.\nAnswer: -93, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-140*y**3 - 48*y**3 - 447*y**3)*(-3 - 5 + 1 + (-3 - 3 + 5)*(3 - 2 - 3) - 3 - 1 + 6 - 1 - 1 + 4 + 3 + 0 - 1).\nAnswer: -635*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 192 - 1340\/7. What is the second smallest value in 142, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 16 = -4*o, 5*o = -2*i + 49 - 13. Suppose -i*c + 540 = c. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -4*g + 22. Determine l(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 144 + -39. Calculate the highest common divisor of 140 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from iededxpnp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13 + 0 + 2 + -3 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 2*p - 60, 0 = -5*r + 4*p + 102 - 27. Suppose 0 = r*q - 211 + 31. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/(-9)*(-18)\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1497 - 1457. Calculate the remainder when 5837 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*p**4 - 5*p**4 - 6*p**4 - 4*p**2 + p**4 wrt p?\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.044 * 183.\nAnswer: -8.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 436675*n**2 - 1143303*n wrt n.\nAnswer: 873350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/41981972 and -48\/52477465.\nAnswer: 209909860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014098062367 rounded to four dps?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1\/5  (c) 1.1  (d) 0.5  (e) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 22*w + 428 - 170 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - 1\/(-1))*3. Suppose -3*x + 30 = 5*n, 5*n + 4*x = 4*n + 23. Sort m, -5, n in descending order.\nAnswer: n, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -3*j - 13. Let q be 7\/3 + j\/(-15). What is the first derivative of -4*g**q + 4*g**3 + g**3 + 2 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(32)*5)**2 + (1 + (sqrt(8))**2 - sqrt(2)).\nAnswer: -sqrt(2) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 2.461375g?\nAnswer: 2461375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*z**3 + 4*z**4 + 3*z**3 - 3*z**2 - z**4 - 4*z + 2*z in the form s*z + a*z**3 + t + w*z**2 + p*z**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 28301?\nAnswer: 16\/28301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*i = 2*y - 40, -4*y + 85 = -5*i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37890797 rounded to 3 dps?\nAnswer: -0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4029655.5s to days.\nAnswer: 46.63953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-2)*291\/(-485))\/(2\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 418826 is divided by 2255.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*c + 1507 = 0, s + 0*c = -5*c + 388. Suppose -374*a = -s*a - 13. Let m = 36 + 13. What is the remainder when m is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1290*v + 338*v - 254*v)*(-3*v + 79 - 77 - 4*v) as j*v + f + d*v**2 and give d.\nAnswer: -9618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1492290 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1205, 4881, 11019, 19619, 30681, 44205, 60191?\nAnswer: 78639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(13\/4)\/z**(-2\/35) assuming z is positive.\nAnswer: z**(463\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2368540 and 6118.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 0 + -2 - (-13389)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -2*x**6\/15 - x**5\/30 + x**4\/8 + x**2 + 19. Find the third derivative of m(p) wrt p.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(4 - 21\/6). Suppose -2*p = -z*p - 4*m + 15980, 4*m + 32020 = -4*p. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 9 - (-6 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -3*t - 3*w + 12 + 146, 65*t - 3437 = -2*w for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*v - 60 = 0. Suppose -4*x + v = -x. Suppose 4*h = x, 2*h = s + 3 + 2. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*((-2)\/(-18))\/((-3)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4553 or 4587?\nAnswer: 4587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, i: 2, s: 1, n: 6}. What is prob of sequence ii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(17) - (sqrt(204) + sqrt(204)*-2 + sqrt(204))\/sqrt(12) - (sqrt(425) + 2))**2.\nAnswer: 32*sqrt(17) + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -64*n**2 - 3*n - 2. Let m = 1 + -3. Let d be v(m). Round d to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 5 + -2 - (-1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63477 is divided by 552?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -98 smaller than 689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 270, -5, 9980 in descending order.\nAnswer: 9980, 270, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1667 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i + 2. Let m(j) = j - 7. Let l be m(0). Let h be s(l). Let k(n) = -4*n - 4. Is 8 a factor of k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3145)\/10360*812*(-4)\/102\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -32. Let q(t) = t**2 + 6*t + 6. Let r be q(-5). Suppose -r - 3 = -m. Solve 5*h + 2*j = h - 26, 2*h + k = -m*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68 is divided by (-9)\/((-27)\/(-12)) - -18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24621 and -90?\nAnswer: -2215890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 721486 is divided by 937.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5498, -6445, -7392, -8339, -9286, -10233?\nAnswer: -11180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/5)\/(((-27)\/75)\/((-6)\/5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*q = -41*x - 14*q + 110, 2*q = -5*x - 0*q + 128 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -24242?\nAnswer: -24242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from inyiiynnyyipiipvpy. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 97088884.5 rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 655075, 654991, 654905, 654817, 654727?\nAnswer: 654635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1439832 divided by 17\nAnswer: -84696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -7*p + 3*p**3 + p**2 - 5*p**2 + 4*p**2 - 7. Let c(v) = v**3 - 2*v - 2. Let w = 50 - 71. Determine w*c(l) + 6*s(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(3\/7)))**(3\/38)*s**(3\/13)\/(s*s\/(s\/(s\/(s\/((((s\/(s\/(s*s**(-22))))\/s)\/s)\/s))))*s) assuming s is positive.\nAnswer: s**(76757\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3965 + 1.0639. Round a to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 16. Let l = o + -10. Which is the nearest to -1\/4?  (a) 5  (b) -0.3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -1\/12*g**4 - 28*g + 0 - 1\/90*g**6 + 17\/270*g**5 - g**2 - 2\/27*g**3. Factor l(i).\nAnswer: -2*(i - 2)*(i - 1)*(6*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -4*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -112, -229, -368, -541, -760, -1037, -1384?\n\"Answer: -2*r**3 + r**2 - 106*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1666) + 2*sqrt(1666))\/(sqrt(128)\/sqrt(4))*5)**2 + 6*(sqrt(136)\/(sqrt(8)*-2) + sqrt(17) + 1)**2 + 1.\nAnswer: 6*sqrt(17) + 187945\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -96 - -93.76. Let s = 2.23883 + i. What is s rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -3*c + 32, 5*c + 0*h = h + 42. Suppose 0*y + 2*y - c = 0. Solve 0 = -y*v - 4*p, 2*p - 7 = 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.19 - -0.59. Let l = 1.60000046 + w. What is l rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -h**8\/112 + 19*h**7\/140 - 9*h**6\/80 - 16*h**2. Factor b(v).\nAnswer: -3*v**3*(v - 9)*(2*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, g: 2, o: 1, q: 4}. Give prob of picking 1 g and 3 q.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-29\/3)\/(r*r*(r*r**(-1\/55))\/r) assuming r is positive.\nAnswer: r**(-1922\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2448) + (sqrt(136)\/(sqrt(48)\/sqrt(6)) + sqrt(17) - sqrt(17)) + (1*sqrt(612) + sqrt(612) - (2*sqrt(68) + sqrt(68))\/sqrt(4)))**2.\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1324*f - 1331*f = -28. Solve 5*s = f*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -374 times -4?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (-4)\/(-8))\/((-4)\/88). Let i(g) = 2*g**3 + 20*g**2 - 24*g - 20. What is i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 963014 is divided by 3403?\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 - 5.7. Let b = 43 + -557\/13. What is the closest to 0 in b, -1\/6, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f - 2. Let h be k(-6). Let a(s) = 64*s - 64. Let t be a(1). Suppose -h*d + 427 - 87 = t. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of a**5\/60 + 3*a**4 + 69*a**3\/2 + 484*a**2. Find i, given that v(i) = 0.\nAnswer: -69, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -43329*z + 389395. What is m(9)?\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 554537453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, r: 1, n: 1, u: 2, k: 1, y: 1}. Give prob of sequence nkt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -4243.3484.\nAnswer: 2121.6742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 200.47 + -190.4. Let v = 10 - l. Let n = -0.069997 - v. Round n to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 4*o + 29. Give s(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -124, -297, -522, -799, -1128, -1509, -1942?\n\"Answer: -26*x**2 - 95*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2731050 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257*k**3 - 4*k**3 - 4*k**3 - 51*k**3.\nAnswer: -316*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3814 is divided by 1902?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -4\/7907249?\nAnswer: -4\/7907249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-236446)\/63)\/((-53)\/477)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 3 + -9 + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 105 or 738\/7?\nAnswer: 738\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -5*m + 25. Let b be c(-16). Let i be 160\/100 - 2\/(-5). Suppose 2*a = 32 - i. What is the highest common factor of a and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**4\/12 + 3*w. Let p(d) = -4*d**2 + 2. Let k(b) = 5*b**2 - 3. Let q(c) = -2*k(c) - 3*p(c). Give z(q(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**0*p\/p**(-2))\/(p**(3\/4)*p\/(p*((p\/(p*p\/p**(-1\/13)*p))\/p*p*p)\/p)) assuming p is positive.\nAnswer: p**(61\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 - -5.05. Let b = 249.9 + -249. Sort p, 2\/7, b in ascending order.\nAnswer: 2\/7, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -68570*l - 3017084. Calculate p(-44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 177, 2, -2 in descending order.\nAnswer: 177, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-4)*k*k*k**(-2\/5)*k)**(1\/2))**(-9\/11))**48 assuming k is positive.\nAnswer: k**(1512\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g**3\/g)*g*g*((g**(-12)*g)\/g*g)\/g*g\/((g\/(g**(-2)\/g)*g)\/g)*(g**(-1\/25)*g)\/g)**(-31) assuming g is positive.\nAnswer: g**(10106\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 340240402 - 0?\nAnswer: 340240402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 1714 = -2*j - 2*k, 0 = 3*j + 4*k - 1718. Suppose 240 - j = -2*h. Is (-1)\/(-2 - (-327)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-7)\/((-21)\/54). Let h be (-1 - (-6 + 8))\/(1\/5). Let r = h - x. Solve r*t - 4*v + 4 = 0, 2 = -2*t + 4*t - 4*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 198 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*f - 4*f - 22, -5*q - 50 = 2*f. Let i(b) = 3*b**3 - 3*b**2 - 4*b - 1. Let l be i(3). Let x = f + l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uzaizuzizuaiauzza.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26888 (base 10) in base 14?\nAnswer: 9b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37\/11 + 163\/55. What is the second biggest value in -1\/5, p, -0.3, 1.7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1617244 (base 8) to base 16.\nAnswer: -71ea4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70918179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13312 is divided by 832.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 432, 849, 1240, 1593, 1896?\n\"Answer: -2*i**3 - i**2 + 434*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 + -81\/2. Let d = -5 - -4.6. Let j = -49\/87 - 3\/29. What is the closest to 3 in j, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 268\/105 - -4127\/105. Let c = 42 - i. What is the nearest to -1\/2 in -5, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1638 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 138319 + -184240885\/1332. Is y at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.091121 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-167 + 167 - 214*a)*(1 - 4 + 0)*(2 + 0 - 3) to the form c + z*a and give z.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5859 is divided by 2631.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zwzwzzzzwwzzzzzzzwz. What is prob of picking 4 z?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 1017 and 196144\/193 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*t - 2332 = -3*t, 4*y + t - 4664 = 0. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -62*p + 40*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -297*r + 394*r = 350946. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -401*d**6*r + 45954*d**5*r - 2*d**2*r - 2*d**2 + 19*d*r - 7782*r wrt d.\nAnswer: -48120*d**3*r + 2757240*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -6 - 14*t**2 - 21*t**2 - 20*t**2 - t + 54*t**2. Let h be (-2)\/((-4)\/(-2)) - 5. Let m(u) = u**3 + 7*u**2 + 5*u - 6. Let x be m(h). Give w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26320 by -188.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*t**6 - t**3 - 105*t**2 + 2*t**3 + 136*t**2 wrt t.\nAnswer: 1080*t**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q + 1. Let f be y(-1). Let p be (-13)\/(-65) - 56\/(-20). Sort 1, f, -3, p.\nAnswer: -3, f, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2. Let l be ((-578)\/(-2))\/(2 - 1). Suppose 450 = 2*k - 128. Let v(f) = -3*f**2 + l*f - k*f. Give g(v(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express a - 1 - a + 2*a**4 + 55*a**3 + 781*a**2 - 781*a**2 as v + h*a**3 + q*a**2 + m*a + g*a**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22553 divided by 5?\nAnswer: 22553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 8*i + 4. Let a be u(-6). Suppose -8*q - a = -19*q. Solve -o = q - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6924 is divided by 6894.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5081560.2 times -4\nAnswer: -20326240.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -902 + 901. Is s greater than or equal to 1\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*j - 18*j - 62*j**2 - 21*j + 57*j.\nAnswer: -62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 7, -13.\nAnswer: -13, -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27350.\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t - 3. Let k be h(-2). Suppose 5*s = -s + 84. Calculate the greatest common factor of k and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 0, 0 = 5*u + 2*q + 159 + 16. Let k = -49 - u. Does 9 divide (-270)\/(-14) - (-4)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(17) + (sqrt(17) - (-2 + sqrt(17) + sqrt(17)*1))**2 - sqrt(17)).\nAnswer: -4*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -1. Let g(q) = 9*q**2 - 4*q - 17. Let p(h) = 4*h**2 - 2*h - 8. Let y(m) = 3*g(m) - 7*p(m). Suppose -o = -0*o + 3. What is o*s(n) - y(n)?\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2589 = 3*a - 2*q - 15423, -3*q = -a + 4285. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**2 - 13*m + 19. Let l(a) = 5*a + 42. Let o be l(-11). Let n(g) = g**2 + 6*g - 9. Let u(y) = o*n(y) - 6*p(y). Determine u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -194361067828736 - 0.5?\nAnswer: -194361067828736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 295 = 157*z - 19. Solve -9*n = -7*n + 4*w, -z*w = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2271 + -0.1729. What is the third biggest value in 1.2, 0.1, q, -1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 558761 + -558760.5. Let z(r) = -r**2 + 4*r + 2. Let q be z(4). Let t = 0.3 - 0.1. What is the nearest to t in q, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 + 30*x + 148. Suppose -4*w = u + 2, -5*u - 3*w - 61 = -0*w. Calculate the least common multiple of t(u) and 22.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*s + 6 = a, 18 = 4*a - 2*s. Suppose 0 = 3*v - 3*c - 69, -a*v + 0 = -4*c - 117. Calculate the remainder when 49 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*g - 4*n - 160, 4*g + 3*n = 640. What is the remainder when 485 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2792, -11074, -24872, -44186, -69016, -99362, -135224?\n\"Answer: -2758*h**2 - 8*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -20\/23?\nAnswer: -20\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001867208 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -118 (base 10) to base 13.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -0*h + 15. Let n = 12 - 11. Let i(t) = -t**2 - 1 - 1 - 6*t - 3 + n. Determine i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/23?  (a) 4\/9  (b) 568  (c) -0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 5*u - 231 = 0, -2*h + 5*u + 273 = -6*h. Let r = h + 74. Determine f so that -8*f + f**2 + f**2 - 5*f**2 - 5*f**2 - r*f**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*r**3 - 1 + 1 - 269*r**3 + 101*r**3.\nAnswer: -201*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 3 = -5*o + 11, 6 = -2*f. Suppose -9 = -o*x + x. What is the first derivative of -2 + 2*h**2 + 3*h**2 - x*h**2 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/1767 and -47\/372.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 104\/15 + -33\/5. Let t = 16 + -71. Let h be t\/70 + 4\/8. Put j, h, -3 in ascending order.\nAnswer: -3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (0 + sqrt(128) - sqrt(128)) + (sqrt(128) + -1)*1 + sqrt(128) + -4 + sqrt(128) + -1*sqrt(128)*3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -8*m**3 - 7*m**2 + 16. Let o(v) = -9*v**3 - 6*v**2 + 17. Let p(h) = 6*c(h) - 7*o(h). What is the derivative of p(a) wrt a?\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54171840, -108343679, -162515518, -216687357, -270859196, -325031035?\nAnswer: -379202874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**7\/2520 - 7*n**6\/720 + n**5\/30 + 7*n**4\/24 - 10*n**2. Let i(z) be the second derivative of c(z). Give i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/784 and -65\/1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x + 69 = -2*x + 2589. Calculate the greatest common factor of x and 5085.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1054 by -1.\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -189 + 352. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45424272 divided by 816.\nAnswer: 55667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.2  (b) 0.4  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4*s = -148, -2*t = -3*t - 3*s + 37. Suppose -3*m + 152 = -5*z - t, 5*m - 3*z = 299. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101550 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2210, 4647, 7196, 9863, 12654, 15575?\n\"Answer: x**3 + 50*x**2 + 2280*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 15 + (4 - (-7 - -20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y - 2. Suppose -3*b + 26 + 1 = 0. Let x(a) = 25*a - 8. Determine b*l(m) - 2*x(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**2 - x - 1. Let b(h) = -8*h**2 - h - 170. Let p(r) = -b(r) + 2*s(r). Find the first derivative of p(q) wrt q.\nAnswer: 28*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8081, -32316, -72709, -129260, -201969, -290836, -395861?\n\"Answer: -8079*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 + 764. Let p = b - 476. What are the prime factors of p?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 364 - 2554\/7. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -61.5 - -61.56. What is the closest to 4 in 2, t, -0.97?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83548 + 78963 = -131*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 34) + -5 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 8*c. Let n be u(5). Let w = 23 - n. Suppose -3*j = -w - 28. Calculate the remainder when 33 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 149 - (140 - 54 - -30)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -245\/24*m**6 + 0*m - 27 - 5\/3*m**3 - 10*m**4 + 0*m**2 - 77\/4*m**5. Determine u, given that g(u) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00011 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/20 - 45\/150. Suppose u = -a - 5*x + 315 + 250, 4*x + 4 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3451*d - 27*d**2 + 60 + 3493*d - 6908*d - 3*d**3.\nAnswer: -3*(d - 2)*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 531622 + -1?\nAnswer: 531621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p**2 + 5 - 414*p**4 + 411*p**4 + 2*p**3 + 0*p**2 in the form l*p**2 + m*p + d + j*p**4 + g*p**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6896 is divided by 413?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2389751031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d - 5 = 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 305628981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert b3 (base 15) to base 7.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 - 69. Let b be (-6476)\/32 - 12\/p. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 2*d**2 - 3*d - 1. Give x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 667\/3608 - 1\/328. Let n = -7 - -13. Suppose 0 = 3*w - n*w - 3. Which is the nearest to 1?  (a) i  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 172, 82, -16, -128, -260, -418, -608, -836?\n\"Answer: -o**3 + 2*o**2 - 89*o + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0)\/(-1) - 2. Suppose -v + 0 - 3 = 0. Put p, v, -2 in descending order.\nAnswer: p, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 345 and 2553?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k*k**8))\/k**(1\/11))\/((k*k*k**(-5)*k*k)\/k)**(7\/11) assuming k is positive.\nAnswer: k**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2166071887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1250 - 6558 + 4527*w - 1435 + 312 - 4240 wrt w.\nAnswer: 4527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 2. Let b(g) = g**3 + 10*g**2 + 9*g - 6. Is b(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15384 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 9, -10 = 6*l - 2*l - 2*x. Is 220 - (-5 + l + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**3 + 2*g**2 + 5*g - 2. Let z be s(-2). Suppose -5*r = -v - 13, z = -v + 4*v + 2*r. What is the tens digit of 28 + 0 + (v - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 239096075 to the nearest integer?\nAnswer: 15463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 5, 7 in decreasing order.\nAnswer: 7, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 + -1 + 23 + -21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-25)\/15 + 1598\/3?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -89 divided by 616621\nAnswer: -89\/616621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1116 - 1117. Let x(b) = 2*b**2 + 8*b + 5. Let l(s) = -s - 1. Calculate h*x(z) - 4*l(z).\nAnswer: -2*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52995, -53466, -53949, -54450, -54975?\nAnswer: -55530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -115*a - 704. What is d(-11)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.2, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 1864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b**2 - 30*b - 3. Calculate a(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 549 = -5*z - 3721. Is (-14)\/35 - z\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 650554?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-4) + (-145755)\/289542. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 4*u**2 + u + 6. Calculate the remainder when h(4) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -211\/4200 and 125\/12.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - 22 + 22)*(0*p - 3*p + 5*p + (26 - 26 + 16*p)*(-1 + 3 + 0) - 2*p + 0 + 0).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + 26 + -50 + 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3628 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 81695250 and 78000.\nAnswer: 653562000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 3*m = -17, -5*c + 5*m = -0*c - 25 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/27 and 1\/13983.\nAnswer: 125847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -47*c**2 - 20*c - 36. Give r(6).\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 69805 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1740 divided by 435.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -232d81dc - -2?\nAnswer: -232d81da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3104)\/(-64) + -50)*44?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-15))\/((69\/138)\/(5\/(-6)))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 4*t - 3. Let w(a) = 3*a**2 + 5*a - 4. Let o be 2*(2 - 4)\/(-1). Let q(p) = 5*p + 20. Let r be q(-5). Determine o*w(c) + r*v(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-1\/5)\/o)**(8\/13))**30 assuming o is positive.\nAnswer: o**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2153 (base 6) to base 8.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -31772, 0, 3, 5, 4 in ascending order.\nAnswer: -31772, -4, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 10:14 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/8 - (-216)\/80. Let w = -425\/7 - -61. Suppose -25*q - 52 - 48 = 0. Sort w, z, q, -1.\nAnswer: q, -1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.17 + 3.67. Let r = v + -3.50051. Round r to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-4*(-18)\/(-3216))*3*(-2)\/24?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - j + 48, 4*a + j = 6*a - 84. What is the remainder when a is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -3*r + 253, -r + 0*r = 4*l - 91. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02180150139 to 5 decimal places.\nAnswer: -0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183*j = -176*j - 7. Put 4, -3, -5, j in decreasing order.\nAnswer: 4, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3403, 6500, 9597?\nAnswer: 12694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, -7, 4, -4 in descending order.\nAnswer: 4, -4, -7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -140692*i**5*n + i**5 - 62*i**2*n - 13*i*n + 7 wrt i.\nAnswer: -8441520*i**2*n + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/4*2 - (-455)\/182. Solve -4*d + 11 = k, -d + 3 = f*k + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s - 3. Let r(j) = -2*j + 2. Let u(a) = -2*f(a) - 3*r(a). Let b(w) = 4*w**2. Determine b(u(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147817, 147819, 147825, 147835, 147849, 147867?\nAnswer: 147889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*4\/(32\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + t = 0. Let y(h) = h**3 + 6*h**2 - h - 8. Let v be y(-6). Which is the second biggest value?  (a) -5  (b) t  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 455  (b) -5  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-27 - -12)\/(53\/((-7685)\/261)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 3 - 9 - (-6)\/8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108209010 is divided by 21641800.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*s - 326*s**2 + 3*s**2 - 32*s - 107*s**2.\nAnswer: -430*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.248 - -0.052. Which is the nearest to -3\/2?  (a) y  (b) -5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35832501.246456 + 35833076. Let s = t - 623.7536. Let n = s - -49. What is n rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-48)*21*2\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 14 = -7*x + 9*x, -11*n - 3*x + 35 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-112)*7)\/((-3)\/4)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*3*sqrt(78))\/sqrt(6) + (5*sqrt(13))**2 + 0 + 3.\nAnswer: -9*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbpbbpbp. What is prob of picking 1 p and 1 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/26?  (a) 11849  (b) -3  (c) -4  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2014*n**2 + 59*n. Let j(r) = -104*r. Give j(x(o)).\nAnswer: -209456*o**2 - 6136*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/60 and -43\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 438703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 434 + -5644\/13. Put -3, 0.7, 0.1, z in descending order.\nAnswer: 0.7, 0.1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (575062 + 3445*t - 575062)*(2*t**3 - 5*t**3 + 4*t**3) in the form f*t**4 + g*t + o*t**3 + j + n*t**2 and give f.\nAnswer: 3445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-3\/2)\/n*n*n*n**(4\/7)*n*n\/n**3*n**4*n assuming n is positive.\nAnswer: n**(57\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185795*d**3 + 92665*d**3 + 93135*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - 26*b - 17. Calculate the remainder when k(-23) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43\/(-1)*(-374)\/(-374)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 18 = 2*i, 2*w - 20 = -0*w + 4*i. Let r = w + -10. Let u(f) = f**2 + 4*f - 6. Let q be u(-6). Calculate the highest common factor of r and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 459 and 46206?\nAnswer: 138618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 23*i**2 - 39*i + 2301. What is v(17)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p = -12. Let q(r) = -r**2 + 7*r. Let h be q(7). Suppose n = 5*w - 0*w + 6, 4*n + w = 3. Put n, p, h in ascending order.\nAnswer: p, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/10*310\/(-744). Let n be (9\/(-156))\/(1\/(-4)). Which is the smallest value?  (a) -8  (b) f  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 832164 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 412, 411, 410, 409, 408, 407?\n\"Answer: -b + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2748 and -0.1?\nAnswer: 0.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94328957 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*g - 9 + 5, 0 = -3*c + 5*g + 30. Factor c*y**3 - 4*y**3 - 5*y**2 + y**3 - 7*y**3 + 10*y.\nAnswer: -5*y*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*3*(-227)\/681?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1582560 and 5027140?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 5 + 4*l**3 + (-2*l - l + l + (0*l + 2*l + 0*l)*(-2 + 4 - 3) - 13 + 2*l + 13)*(-4*l + 0*l + l)*(-14*l - 5*l + 2*l).\nAnswer: -98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3*m = -58, 3*k - 48 = -k - 2*m. Is ((-6)\/15)\/(k\/(-665)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -99 - -111. Factor 9 + 1 + 6*o**3 + 1 - h*o**2 + o**4 - 10*o + 4*o**3.\nAnswer: (o - 1)**2*(o + 1)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103 times 1060.766\nAnswer: 109258.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 15 = -0*t. Let j be ((-8)\/12 - -1)\/((-8)\/(-264)). Suppose -1 = j*q + 21. Sort q, 3, t, 0 in ascending order.\nAnswer: t, q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 + 4*d - 4. Let o(m) = 4*m**3 + 9*m - 9. Let s = -18 + 34. Suppose 3*f = s + 11. What is f*p(j) - 4*o(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11202210112 + 102221?\nAnswer: -11202100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*k + 1958 + 14042 = -324*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -b*d*x - 30*b*s*x + 201*b*s - 2*b*x - 21*d*s*x + d*s + 18*d*x wrt d.\nAnswer: -b*x - 21*s*x + s + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) - (sqrt(78)*2 - sqrt(78))*-2)*-5*3)\/(sqrt(120)\/sqrt(980)).\nAnswer: -315*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -684*w**3 + 3780*w**2 + w - 26807657?\nAnswer: -2052*w**2 + 7560*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a - 15. Let c be d(10). Suppose -14*r = -c*r - 6. Is ((-2)\/r)\/(17\/35139) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 22. Suppose 2*p - k = k + 2, 0 = f*p - 3*k - 7. Determine n, given that 12\/5*n**p - 2\/5*n**3 - 24\/5*n + 16\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bnccnb. What is prob of sequence nbcc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 150765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 57358451*n*v**3 - 10655304*v**3 wrt n.\nAnswer: 57358451*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 2*u + 261, -g - 5*u + 21 = -22. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-14)\/(y**(2\/13)\/y))\/(y*y*y*y**2*y\/(y\/(y**(-2\/25)*y*y))) assuming y is positive.\nAnswer: y**(-6524\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -7*i**4\/12 + i**3 + i**2\/2 + 4*i + 6. Let a(t) = 6*t**2 - 5*t - 1. Determine 6*a(m) + 5*y(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.017606 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 108*c + 1 - 105*c + 2. Suppose 4*b = -3*k + 59, 4*b - 7*k + 2*k - 19 = 0. Does 8 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208879917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15259, -30600, -45939, -61276, -76611, -91944?\nAnswer: -107275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from lldlllllllldddldll.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -92*j**2 - 230*j - 135441.\nAnswer: -184*j - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30589842, 61179686, 91769530, 122359374, 152949218?\nAnswer: 183539062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-6))\/(s\/(s*s*s**(-6\/11)\/s*s)))**(25\/6))**(3\/2) assuming s is positive.\nAnswer: s**(-625\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h\/h**(-2)*h)\/h)**(-1\/35)*(h**2\/h*h)\/h*h\/(h\/(h\/(h\/h**1*h*h))) assuming h is positive.\nAnswer: h**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 961.7219m?\nAnswer: 961721900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 509355 = -151*n + 6766*n for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 3:28 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/75*5)\/(17\/(-153)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -2\/3671, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 641 = 4*s - 3*s, 3*s - 3*a = 1959. Let y = 1075 - s. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o - 6. Let a be f(-16). Let v be (-4)\/22 + (32\/a)\/(-8). Solve -3*r - 2*r - 25 = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -11*r**3 + r**2 + 53*r + 307. Determine a(-5).\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 times 28430?\nAnswer: 19901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33002 + 2213?\nAnswer: -30345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219685355?\nAnswer: 5, 1061, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 3*g + 62. What is d(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cepc when four letters picked without replacement from pccttccepptxc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-513)\/(-189) - (-2)\/7. Solve -7*h = i*x - 2*h + 12, 3*x - 4*h = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x. Let g(s) be the third derivative of 0 + 0*s**4 - 5*s**2 + 0*s - 1\/30*s**5 + 0*s**3. Determine i(g(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a. Let d(c) = -3*c. Let u(j) = 3*d(j) - 8*f(j). Let k(s) = 14*s. Calculate u(k(r)).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57.75 - 839.45. Let j = 781.809984 + x. Let i = j + -0.11. Round i to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2 = 6*m, 6*m + 40 = 4*x + 7*m. Calculate the remainder when 272 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1064.6653376026 and 2.\nAnswer: -1062.6653376026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -20.1725 times 34.8\nAnswer: -702.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31817 + 63634 - 31817 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a - 6*a + 8*a + 19 - a. Suppose 4*l - 41 = 19. Let s be v(l). Solve -w + s*w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o. Let k be u(4). Differentiate t**k - 4 + 1 + 4 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = -6*q + 34. Let g(s) = s**3 - 10*s**2 + 11*s - 6. Is g(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5907 * -8\nAnswer: 47256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n - 212 - 12*n + 7*n - 85.\nAnswer: -n - 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -324 - 126 = 54*b + 21*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 3*h + 1385 = 0, 31*m = 33*m - 3*h - 545. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/4)\/r*r)\/r)**(-17)*(r*r\/r**(-2\/3))**(-44)*((r\/r**2*r)\/r**(-1\/4))\/(((r*(r\/(((r*r**4)\/r)\/r))\/r)\/r)\/r**1) assuming r is positive.\nAnswer: r**(-551\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**3 - 12*l**2 + 4*l + 12 = 0. What is l?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 46*g - 685. What is u(58)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -5718*n**2 + 20*n + 12. Let y(d) = 3431*d**2 - 12*d - 7. Give -7*a(k) - 12*y(k).\nAnswer: -1146*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 53, 0, 1\/8, 3 in increasing order.\nAnswer: -2, 0, 1\/8, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 341 - 131. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -181325, -181326, -181327?\n\"Answer: -t - 181324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 10.2, -3, -2 in ascending order.\nAnswer: -3, -2, 0.1, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -8 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 + (-10788)\/90 - (-4)\/(-30). Let o = 267 + m. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**4*q)\/q**(-2\/25)*q**(1\/19)*q*q**(4\/15) assuming q is positive.\nAnswer: q**(9119\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3393, -6738, -10069, -13380, -16665?\nAnswer: -19918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -211 + 34551506?\nAnswer: 34551265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*o + w - 4 = -197*o + 22, 0 = 3*o + 5*w + 38 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/10708  (b) 0  (c) 1  (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -0*w - 10. Suppose 0 = -j + 1 + w. Let u(t) = 3*t**3 - 4*t**2 - 2 - t + 6*t**2 - 2*t**j. Determine u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**2*w*w**(2\/21) assuming w is positive.\nAnswer: w**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00066 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 2, -98, -0.14, -2\/11?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (170\/28 + -6)*2. Let v = -22 - -15. Let k = v + 3. Sort x, -0.4, k in decreasing order.\nAnswer: x, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + 18)*(-9 + 204\/30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33371884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 13975268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 11:30 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 11*f + 33. Let v be j(-14). Let s = 7 - v. Let d = 7 - s. Which is the second biggest value?  (a) -2  (b) d  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 7*s + 144. Determine q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 1818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 42191*t**4 - 11477 with respect to t.\nAnswer: 168764*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2305544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 141*t - 1397. Let x be d(10). Solve -x*g = -243 + 165 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 5*j - 45 = 0, -115*j = 2*g - 111*j - 20 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 + 5*i + 3. Let r be (-148)\/(-24) + 3\/(-18). Determine s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.0568502 to 0 decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138450 and 540.\nAnswer: 2492100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1310?  (a) 1\/4  (b) 3\/2  (c) -2.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 134517158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 88 in 0.2, -1306, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5482 - -9085. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12579 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 - -90. Suppose 4*z + 22 = n. What is the remainder when 51 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-104)\/16)\/(2\/(-4)). Suppose a*g = 11882 + 1235. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32823 or -32819?\nAnswer: -32823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*a + 35 = 0, 0 = -3*p + a + a - 5. Let n(s) = -8*s - 1. Calculate the least common multiple of n(-1) and (34\/(-4) - p)\/(2\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2e (base 15) to base 11\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**3 - 3*u**3 - u**2 + u**3 - 5*u**3 + 0*u**3 + 3*u**3 + (-u + 4*u - 2*u)*(3*u**2 - 2*u**2 - 3*u**2).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4*((-169)\/(-182))\/(-13)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 100\/575 - 36\/207\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11847*v + 5894*v - 55 + 5888*v)*(4*v + 0*v - 3*v) to o*v**2 + h + t*v and give t.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19960 and 10.\nAnswer: 19960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10679303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1036554 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**3 - 59*q**2 - 38*q + 68. Let n be o(-19). Let k = 6 + -2. Calculate the greatest common factor of n and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 215, 1767, 6005, 14273, 27915, 48275?\nAnswer: 76697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of 16*x**3\/3 + 10*x**2 - 18. What is the second derivative of n(u) wrt u?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17003925 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 0.1  (b) 0.5  (c) 0  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2ada6 (base 16) to base 7\nAnswer: -1330511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1 - -1) + (-5 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1146*0.1209\nAnswer: 138.5514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62 * -1337.\nAnswer: 82894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23021132030 (base 4) to base 11.\nAnswer: 171669a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**3\/6 - 11687*t**2\/2 + 51234344*t - 768076960\/3 = 0. Calculate t.\nAnswer: 5, 17528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 0)*(-p - p + 3*p) - 2*p + 5 - 5 + (-216 + 216 + 5*p)*(1 + 2 + 3) as l*p + d and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 120 - 38*w + 0*w**2 - 3*w**2 - w**3 + 41*w in the form s*w + v*w**2 + x*w**3 + z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34060754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1523 - 843. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/((-26)\/(-1)))\/(2\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in 1.4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/15 - 332*n\/15 + 334\/15.\nAnswer: -2*(n - 1)*(n + 167)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 3 + 2 + 28*z.\nAnswer: 28*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, 1, 30, -1, 6\/1139?\nAnswer: 6\/1139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**6\/((w\/(w**(-3\/41)\/w*w*w)*w*w*w)\/w)*w**(8\/3)*w\/((w\/w**(4\/3))\/w) assuming w is positive.\nAnswer: w**(366\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6897 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -8. Let m be (p - -3)\/((-6)\/219). Let k = m + 118. Calculate the remainder when k is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -116, -104, -72, -14, 76, 204, 376, 598?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 238910.\nAnswer: 2, 5, 7, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) 2  (c) 31473  (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 4:58 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3032322 (base 6) to base 7.\nAnswer: 1141010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -423, -425, -435, -459, -503, -573, -675, -815?\n\"Answer: -l**3 + 2*l**2 - l - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51.37 - -28.5. Let y = -0.13 + c. Let h = 24.4 + y. What is the fourth smallest value in -0.5, -5, h, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(16)\/(2*sqrt(24)\/sqrt(3)) + -6*(sqrt(128) - (sqrt(128) + (sqrt(128) - sqrt(128)*-3*-4))).\nAnswer: -1053*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*m = 280 - 640 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11218 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 5*i - 21. Let t = i + -2. Let y(p) = p**3 - 8*p**2 + 1. Let x be y(8). Which is the smallest value?  (a) x  (b) 3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36523.1 - -195?\nAnswer: -36328.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -179*b**3*k**2 - 2*b**3*k + 277*b**3 - 2*b**2*k**2 - 7303*b**2*k wrt b.\nAnswer: -1074*k**2 - 12*k + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87519410?\nAnswer: 2, 5, 11, 239, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1272 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 7\/14*-1*4*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4*w = -4 - 32, 0 = 3*w - 15. Suppose k*z - 90 = 7*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 16) to base 15\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.06, 0.2, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 6.52 and 22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 317*u + 513*u + 262*u + 220*u in the form l*u + i and give l.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 14. Let g be (-45)\/r*(-4 + 0). Suppose z + 0*z = g. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*l - 363*l - 100*l + 10173888 = 0. Is l a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (450 + -218 - 202) + (-230)\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/38 and -9\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 8:16 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1157*g**2*q**5 - 27*g**2*q**3 - 17*g**2 + 37*g*q - 1 wrt q.\nAnswer: -23140*g**2*q**3 - 162*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02106 to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(33)\/(sqrt(18)\/(sqrt(6)*1)) + -3*-2*sqrt(1331) + -4) + 1 + 4.\nAnswer: -134*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (640\/2560)\/((-2)\/112)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/182 and 67\/7636.\nAnswer: 694876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -102022201 (base 3) to base 11\nAnswer: -6224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + (sqrt(5) + sqrt(45) + 3 + sqrt(5))**2 - 5*sqrt(5)*-1) + -5.\nAnswer: 36*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 725, 1453, 2181, 2909?\nAnswer: 3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1115 - -1114.89216. What is c rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518917219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -67833, -134141, -200449, -266757, -333065, -399373?\n\"Answer: -66308*m - 1525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25 - -121. Does 32 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -y - 6*y + 0*y + (-3 + 3 + y)*(-3 + 5 - 1) - 3 + y + 3 + 6*y - 171*y + 60*y in the form w + l*y and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 1\/159, 2\/7 in ascending order.\nAnswer: 1\/159, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 1, -3, -1\/2 in increasing order.\nAnswer: -17, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 11 - 12) + (2 - 4) - -21\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**2 + 11*h + 3. Let b(v) = v**2 + v + 1. Let u(c) = 4*b(c) - m(c). Let i be u(8). Solve -x + 2*x - w = -7, 0 = x - 2*w + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 2 r, and 1 v when four letters picked without replacement from {v: 1, l: 6, r: 4, g: 1, q: 6}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 93699.99um?\nAnswer: 93699990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 1)*(7 - 8) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34*g**3*i*q**3 + 2*g**3*q**5 - 2*g**3*q + 3*g*i*q**2 + 5*i*q - 5*q**2 wrt q.\nAnswer: -204*g**3*i + 120*g**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -27*w + 274. Let o be f(10). Put -6\/31, o, 0.5 in decreasing order.\nAnswer: o, 0.5, -6\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 + 6*j**2 - 2*j**2 + (4*j - 3*j + 0*j)*(-19*j - 9*j + 0*j + 2).\nAnswer: -25*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 2 = 2*l + f, -2*l = 2*f + 8. Let w = -0.005 + -0.695. Which is the closest to l?  (a) -1  (b) w  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 17880498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 101*h + 146. Calculate z(25).\nAnswer: -1754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6585*t + 137 - 137 + 6785*t.\nAnswer: 200*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2838 divided by -16996?\nAnswer: -1419\/8498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -s**7\/42 + s**5\/12 - 7*s**2. Find the third derivative of k(v) wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -14*24\/(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 + 4. Are u and 45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + i + 405. Let r = i + -70. Calculate the remainder when 142 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -7, -23, -3, 84 in descending order.\nAnswer: 84, -2, -3, -4, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**3 + 0*i**3 - i**3 + (i - 2*i + 2*i)*(0 - i**2 + 0) + 0*i**3 - 2*i**3 + 0*i**3 + 6*i**3 + 9*i**2 - 9*i**2 + 0*i + 0*i + i**3 - 16*i + 16*i + 14*i**3.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence illl when four letters picked without replacement from {l: 16, i: 4}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.514 + -0.014. Let c = -5.06 + 0.06. What is the closest to -0.1 in -0.1, h, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 2*j = -12. Factor -11*o + 27*o**2 - 5*o - 12*o**j + 3 + 9*o - 11*o.\nAnswer: -3*(o - 1)**2*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 10:04 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 35*n**2 - 67*n - 35. Let t be y(-33). Which is the nearest to -0.08?  (a) -2\/7  (b) -1\/4  (c) t  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 0.1  (b) 0.5  (c) -515  (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32128785763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 37\/7 - (-6)\/(-21). Suppose 0*r = w*r. Suppose r = -j + x + x + 2, 4*j + x = 44. What is the remainder when 27 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100834742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 285\/75 + 4\/(-5). Let p(g) = g - 1. Suppose 2*h = -2 - 0. Let j(w) = 5*w - 3. Let d(l) = h*j(l) + 3*p(l). What is d(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2536666344?\nAnswer: 2, 3, 35231477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -3*k**2\/5 + 34248*k + 171243\/5 = 0.\nAnswer: -1, 57081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 404310003 = b + 11*c, 0 = 3*b - 10*c + 1212930010. What is b rounded to the nearest 1000000?\nAnswer: -404000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a6 (base 14) to base 13.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 6:32 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 8:28 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 1)*(c**3 - 2*c**3 + 2*c**3).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - (10 + -33) - 21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 522*a**2*j**3*t**2 + 5*a**2*j**2*t**3 + 2*a*j**3*t**3 - 3*a*j**3 + 14*a*t**2 - 2*j**3 wrt a?\nAnswer: 1044*j**3*t**2 + 10*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from {i: 8, n: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20160 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002487 to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 54709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 51182 = 4*h, t = h - 7004 + 58171. Round t to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 20*m - 539. Calculate the remainder when 620 is divided by s(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 7 + -5 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, d: 1, g: 7}. Give prob of picking 1 g, 1 y, and 1 d.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 5. Suppose -2*r - 4*s + 131 - 143 = 0, -s + 2 = 3*r. Solve 6 = r*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38620, -77285, -115940, -154585?\nAnswer: -193220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4*p = -28, s + 0*p - 5*p = -23. Let h be 2\/(-3)*(-18)\/4. Let v(o) = -o**2 + 2*o + 2. Let c be v(h). Sort c, s, -2 in descending order.\nAnswer: s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 10, 4, 6, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-27)\/18)\/((-3)\/28). Find the common denominator of 93\/2 and -1 - (x\/10 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + 336\/49)\/((-1)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 430008621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 57\/(-38) + (-18)\/(-4). Let x(a) = -a**3 - 7*a**2 - 8*a - 13. Let v be x(-6). Let h be -5 - -3 - -2 - v. Solve c - y = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1229498897 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(208))**2*3 + (sqrt(208)*1*6)**2)*-1.\nAnswer: -8112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -409299 (base 13) in base 8?\nAnswer: -5574201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5243667 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3085*k**4*l - 66*k**4 - 3*k**2*l + 33*k*l - 131496*l wrt k.\nAnswer: -37020*k**2*l - 792*k**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -58, -254, -580, -1036, -1622, -2338?\n\"Answer: -65*l**2 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43*h + 4025 - 4025)*(9 - 9 + 5*h) + (-2 + 1 - 2*h + 3*h)*(0 + 0 + 2*h + (4*h - 31 + 31)*(-5 + 5 + 2)) to the form p*h**2 + v*h + g and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 + -24. Which is the nearest to 1?  (a) s  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1871323009 smaller than 1871323009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**2)**(-1\/3)*(j**(1\/2))**(-35) assuming j is positive.\nAnswer: j**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -25  (b) 1\/7  (c) -957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 2 = 5*l. Suppose l*y + 0*y = -28. Which is the second smallest value?  (a) y  (b) 4  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46 + -52. Let v be s\/14 + 175593\/43344. Let w = v + -40\/129. Calculate the common denominator of -95\/6 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 5*g = 0, -12 = 9*a - 7*a + g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 34\/6 - 2\/3. Suppose -1 + t = -2*q. Let w be (1 + (-1 - -2))*-1. Are q and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 317481.831 rounded to the nearest 10?\nAnswer: 317480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i + 69 = 11*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01596 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) -4  (c) -0.3  (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 6 = 2*z. Suppose 8 = -5*g + z. Let f be (-6)\/(-9)*(-1 + -2). Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8421 - 8416. Solve f*q = -k + 29, 0 = q + 20 - 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 1 + 0 + 4*p + 0. Suppose 2*u + 0*u = 2. Let l = u + 1. What is b(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 7 + 7)*(-72*a**2 + 72*a**2 - 4*a**3).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -337, 3, -3, -4, -0.8, 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*t**5 - 4*t**5 + 10*t**5 + 10*t**2 wrt t?\nAnswer: 660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3375, -6748, -10121, -13494?\n\"Answer: -3373*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7c + 6a764?\nAnswer: 6a6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-58873)\/(-11983) - (4\/(-46))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 0. Suppose -10 = 5*c + 5*o, -4 = -d*c + 3*o - o. Let f = c - -4. Solve -2*b - q + 15 = 0, 6 = -5*b - f*q + 51 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 12. Suppose b = 5*b + 12. Is (-2)\/b - 50\/u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5 = 5*b + 1, 3*b = 12. Solve 2*o + 2 = t*x, 0 = 3*x + 2*o + 3*o - 34 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 202799555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 519893700 by -129973425.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32\/4*((-1)\/(-8) + (-35517)\/(-8)).\nAnswer: 2, 7, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 51 (base 6) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 7:51 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 6:34 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007918 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -12*(-6)\/(-9) + 15\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -f - 0. Find the first derivative of -f + 0*p - p - 3*p + 0 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(343) + -3 + sqrt(343) + 4 + sqrt(343))*3 + (6*2*sqrt(343) - (2 + sqrt(343))*-5))*2)**2.\nAnswer: 18928*sqrt(7) + 928148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 67.5 - -22.5. Let g = h + -88.14. Round g to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + y + 3. Suppose 7*t = -3*l + 2*t - 5, 0 = -4*l - 4*t - 4. Let o be h(l). Let z(a) = -o + 20*a + 3 - 6*a. Let k(b) = -2*b. What is z(k(p))?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 + 3*y + 10. Let p be j(5). Suppose p = 2*u - 11 + 1. Solve u = -3*r - 4*x, 3*r = 4*x + 6 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895.274 centuries to years.\nAnswer: 89527.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60300 - 5642 = -15*p - 17462. Is -4808 != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - i + 4. Let j be g(0). Suppose 0 = -q - j*q - 105. Let p = q + 21. Let k(w) = w**2 - w - 8. Give k(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 102*i**2 - 42*i + 4297. Let w be q(102). Solve 0 = 2*y - k + 8, -49*y + 4*k = -50*y - w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 38331 - -1?\nAnswer: 38332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 263 + -111. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*4378.28\nAnswer: 13134.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**4*x**12 assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 68 - 1015958?\nAnswer: -10158a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 11*o. What is z(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4817*z**2 + 4817*z**2 - 4*z + 6*z**3 - 44*z**3 + 8*z.\nAnswer: -38*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3568 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v**3 - v**3 - v**3 - 27*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 25, 64, 129, 226, 361, 540, 769?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 123050 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rerrrrrr. Give prob of picking 1 r and 1 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -u - 2, 4*u - 5 = w - 10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -14*p**2 + 18*p - 7. Let m(h) = 5*h**2 - 6*h + 2. Let q(w) = 11*m(w) + 4*x(w). Let u be q(6). Is u\/(-3) + 15 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + sqrt(864)*-3)\/(sqrt(88)\/(sqrt(55)\/sqrt(5))).\nAnswer: -17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00307469696 to five decimal places.\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-7)\/((j**(2\/3)*j)\/j))**(1\/5)\/((j**(-2\/7))**8)**8 assuming j is positive.\nAnswer: j**(1759\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -9*4\/6 - -188?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000655594408 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*h + 55 - 29 - 19 to p*h + k and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000832131 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) -0.2  (b) 0.11  (c) 2\/9  (d) -185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-seven halves of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n = 44*n - 76673 - 58319. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.02 and 28565.4669806.\nAnswer: 28565.4869806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 130154640 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - 24*q - 47. Let s be b(-22). Let o be (8\/24)\/(s\/(-216)). Suppose 15*k + o = 19*k. Solve 2*d + 0*d - 9 = 5*z, -4*z = -2*d + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 29*u**2 + 216*u + 83. Calculate the remainder when r(35) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -21*y**2. Let o be (-2166)\/(-46) + 18\/(-207). Let u(t) = -84*t + 49*t + o*t. Determine q(u(m)).\nAnswer: -3024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 + 3*q - 44. Let d be n(4). Suppose -6*g - 13 + 7 = d. Which is the closest to g?  (a) 4\/3  (b) 0.4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 5*t**2 - 6*t + 4. Let r be o(-6). Suppose -106 = 2*i - r*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6063.540206 + 10\nAnswer: -6053.540206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(2*1\/12). Suppose 0 = 6*j - 2*j - d. Solve -3*t - j = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -1.5. Let h be (4 - 2) + -3 + -4. Let v be h*(4 - 4 - 1). Which is the third biggest value?  (a) w  (b) 2\/7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-96)\/36*(-6)\/4. Solve 2*i + 1 + 1 = 2*b, d*b = 2*i - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3964427981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*x**2 - 93*x**5 + 15*x**2 - 4*x**2 - 227*x - 9*x**2 wrt x.\nAnswer: -1860*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1627636 and 4908?\nAnswer: 1997109372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333749 is divided by 444112?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1422 + 1422.03892. Round h to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiaiaaiiiaaiii. Give prob of picking 3 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -407\/65?\nAnswer: -407\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2814 is divided by 82.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -21.27 and -0.3.\nAnswer: 6.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -1461  (b) -2\/11  (c) -12  (d) 1  (e) 5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.1 in -3, -2, -6\/43, 1\/2, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5)\/4)\/(4\/(-16)). Calculate the common denominator of (y - 2) + (-60)\/55 and 16\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2221 (base 3) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3245 - 5675. Let x = -2429.8917 - t. Let v = x - 0.115. Round v to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from csxsscrssxsxssxxsxx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/(-1050)*(-275)\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*z**2 + 13*z**2 + 8*z**2.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22906, -91315, -205228, -364645, -569566?\nAnswer: -819991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6*o + 2 = 2*s, 0 = -5*o + 5*s + 30. What is the nearest to 0 in o, 9, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5124 and 1596.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -86*g - 51*g + 2466. Solve -5*p + 10 = 2*w, -g*p + 22*p - 2*w = 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 8:33 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -4*z - 42 + 13, 2*z + 16 = 2*c. Suppose 3*n - 3 = 0, 2*g + 0*g = -3*n + 305. Suppose -4*u = 3*w - g - 52, c*u + 2*w - 153 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194892211 less than 0.4?\nAnswer: -194892210.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 4.5, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (7 - 20) + 4 + 5 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + 49. Suppose 2*s = 1 - z. Is 105 + s\/(-2) - 3*1 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4 + sqrt(847)*2))**2 + ((0 + sqrt(7))*4 + sqrt(28)*-1)**2.\nAnswer: -704*sqrt(7) + 13644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*s + 52*s = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 751727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 234007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1708*m - 4774*m - 2907*m in the form f*m + w and give f.\nAnswer: -9389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46796, -46799, -46804, -46811?\nAnswer: -46820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**3*k*s - 466*d**3*s - 17*d**3 + 2*d**2*k*s + 146*d**2*k + d**2*s - 84*d**2 - 6*s wrt d?\nAnswer: -6*k*s - 2796*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(2\/((-7)\/(7\/(-2)))). Suppose b = -8*u + 13. Solve u = -4*p + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21.63 - 21.83. What is the nearest to 21 in v, -4, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*y + 0*y - 2*y)*(0 - 3 + 5 + (1 + 4 - 3)*(0 - 4 + 2) + 4 + 0 - 2 + 0 + 5 - 4) to the form a*y + j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/5 at most as big as 3.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is f (base 16) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 181698543 to the nearest integer?\nAnswer: 13480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -8 - 37. Suppose -5*n + q = -1. Is 3220\/50 + n\/(-5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -23115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n + 1. Suppose -304*a + 290*a = -70. Let q(j) = 4*j**3 + 5*j + 3. What is a*l(k) - q(k)?\nAnswer: -4*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 16 + -8 + -5 - (-4 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 1:55 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcczcjcjjcjc. Give prob of picking 2 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57297 divided by 213?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 3, 47, 0, -127, -5 in descending order.\nAnswer: 47, 5, 3, 0, -3, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2465*n + 232. Let i(k) = -53*k + 5. Let g(z) = -232*i(z) + 5*x(z). Let c be g(-3). Suppose 0 = 3*a - c + 24. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 23*h + 466. Let q be b(-20). What is the second smallest value in 0.1, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56 (base 13) to base 12.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 388927601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 10*w + 6. Let m(s) = -11*s - 7. Suppose 4*b = 5*b + 6. Let v(y) = b*m(y) - 7*h(y). Let l(o) = o. Give l(v(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1403\/4 - 350. Suppose 3*l = -5*y + 3, 0 = -0*l + 3*l - 3. Which is the nearest to 1\/3?  (a) 5  (b) f  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(3*sqrt(114) - sqrt(114)))\/(-4*sqrt(294)).\nAnswer: -3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c - 7. Let p be i(6). Let q(m) = -2 - 15*m + 9*m + 8*m + 0*m. Let a(t) = -3*t + 3. What is p*a(w) + 7*q(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8779487 to the power of 1\/2, to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/17)\/h*h**(-3\/26))\/(h**(-2\/53)*h*h*(h\/(h*h**5*h))\/h) assuming h is positive.\nAnswer: h**(94641\/23426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 156.485 + 0.6.\nAnswer: 157.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -b + 25*b**3 - 33*b**3 + 3*b**3 - 14*b**2 as l + q*b + o*b**2 + d*b**3 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-35)*(-4)\/(-36)*-3*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47 + -50. Which is the smallest value?  (a) x  (b) -3\/2  (c) -2\/13  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 43*d + 417. Determine c(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 5*x**2\/2 - 5*x - 11. Let a(r) = r + 5. Let p be a(0). Calculate j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17334171*h**3 + 8174554*h + 1 wrt h?\nAnswer: -104005026*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -99 - -117. Let z(q) = -10*q + 184. Let h be z(o). Let l(s) = 2*s**2 + 7*s - 2. Let g be l(-5). Solve -15 = -3*f, -5*v = -h*v + 2*f - g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - b + 4)*(-902 - 28*b + 1805 - 902).\nAnswer: 28*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19.06482mm to kilometers.\nAnswer: 0.00001906482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 - (0 - (-9 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 + 2 + (-13 - -9) - (-321 + 332)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*g**5 + 483*g**4 + 3204*g**3 + 7689*g**2 + 5520*g + 576 = 0. Calculate g.\nAnswer: -8, -3, -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2*t - 148 = 0, 0 = 2*h - h + 5*t + 15. Let b be -6*h\/45 - (7 - 3). Factor 8\/3 + 8\/3*c + b*c**2.\nAnswer: 2*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 321382 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of 4937*r**6\/120 + 706*r**4\/3 + 7*r**2 + 2*r + 112. What is the second derivative of b(o) wrt o?\nAnswer: 29622*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 2*i**2 - 2*i - 1. Let f be z(-2). Let m be 1\/(-3) - 2\/f. Let u = 1335.1 - 1334.1. Which is the closest to u?  (a) m  (b) 1\/4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1531806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17\/4 - -4. Suppose -2*d = 4*v + 4, 0*d - d - 5*v = 11. Suppose -2*j = 5*y - 6 + 2, 0 = 2*j + y + d. What is the closest to j in f, 1\/2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.6971529 rounded to zero decimal places?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -8*b**3 - 2*b + 3. What is u(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -30. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 38 = 5*i. Suppose -4*k = k. Let p = k - i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 1 - (66 + -43)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -4. Let n = 1 + q. Solve -3*h - 3 = -n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.4 and 2723054304277.\nAnswer: 2723054304275.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 - o - 2. Let q be x(-2). Is 1530\/35 + q\/14 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 8 = -10. Suppose 7*v = n*v + 86588. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39023.\nAnswer: 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 8:27 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 38*w**2 + 69*w + 137. Let p(x) = -17*x**2 - 34*x - 68. Let l(v) = 9*p(v) + 4*y(v). What is the units digit of l(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 2*c**2\/9 - 110*c\/9 - 472\/9 = 0.\nAnswer: -4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*(-12)\/(-2). Suppose 2*i - 15 = -a*i. Find y, given that 2\/3*y**i + 0 + y**2 - 2\/3*y - y**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29130899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-4)\/(-5) - 1). Let j = z + 8. Suppose j*k = -2*k + 20. Calculate the lowest common multiple of k and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -1 + 4 - (-4 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 12*x = -5*h - 2, x = h. Let v be (-1 + 1 + -1)*3. What is the nearest to h in v, -1, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5726*d**2 - 11587*d**2 + 5843*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaaaaaaaaakaaaaa. Give prob of sequence ak.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 0.29333.\nAnswer: -0.058666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221233 (base 4) to base 15.\nAnswer: -bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24977467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (344\/(-20))\/((-4)\/10). Let v = -472\/11 + r. Suppose 0 = 2*x - g - g, 0 = -3*x - 4*g. Are v and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 2*r - 29 = 0, -2569*r = -2554*r - 255 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -200*y + 433. What are the prime factors of d(-21)?\nAnswer: 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13822\/57 < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - 6*s**2 - s - 4. Let u(g) = g**3 - 5*g**2 - 4*g - 8. Let q be u(6). Let r = 14 - q. Calculate the remainder when m(7) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*x - 3*x - 3*x)*(1 - 2 + 0) - 3*x + 3*x + 2*x - 5*x - 2*x - 2*x)*(4 + 3 - 4).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13211 (base 4) in base 14?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 75588523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 239 - 215. Let k be 52\/30 + j\/(-20). Let 0 - 2\/5*n + 2\/15*n**2 + k*n**3 = 0. What is n?\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2133*r + 13018 = 53752 + 12591 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 4*s**2 - 7*s - 7. Let t be b(-5). Suppose t*p - 33 = 2*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.795 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -459985627, -459985626, -459985625, -459985624, -459985623?\nAnswer: -459985622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1015, 0, -7, -8, 3\/4, 1 in decreasing order.\nAnswer: 1015, 1, 3\/4, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -32, -40, -50, -62, -76?\n\"Answer: -n**2 - 5*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*x = -5*x. Solve -2*q = -x*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 186*y**2 - 1027*y + 13753. Give z(191).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 107739307?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*t + 4*t - t)*(4*t**3 - 4*t**3 - t**3) + 36*t**4 + 20*t**4 - 12*t**4 in the form w + m*t**3 + n*t**2 + j*t**4 + q*t and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7b752 - -7?\nAnswer: -7b748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 53 - 128. Let t be -1 - -6 - a\/5. Solve 0 = 5*v - t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 + 7*g**2 + 3370*g + 20188. Give p(-6).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 10*q + 85. Give f(8).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -9 + 3*v - 470001\/2*v**2. Let z be p(3). Round z to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b. Suppose 59*x - 61*x = -20. Suppose 11*m - x*m = -1. Calculate q(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 60 = -16. Find the third derivative of x*b**3 - 26*b**3 + 8*b**2 + 16*b**3 wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 = 1215010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2, 12, 28, 50, 78, 112, 152?\n\"Answer: 3*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -6*i - 3. Let k(t) = 20*t + 20. Let u be -4 + 5\/((-15)\/21). Let w(m) = -11*m - 11. Let j(c) = u*w(c) - 6*k(c). Determine -g(n) - 3*j(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79634.\nAnswer: 2, 29, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -65.9, 3, -3?\nAnswer: -65.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -218, -3, 0 in descending order.\nAnswer: 0, -2, -3, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.18416 microseconds to seconds.\nAnswer: 0.00003418416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.31 - 0.163. What is p rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.08 + 0.02. Let i = -0.22 - 2.18. Let x = 0.6 - i. Which is the nearest to u?  (a) x  (b) 4\/7  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -263*l - 18. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8318526 to the power of 1\/2, to the nearest integer?\nAnswer: 2884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from awffahhhdhdf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 6 + (-2 - -10) + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dvvvvddvddvvdvvvvv. Give prob of picking 2 d.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -15*x + 103. Suppose -2 = -2*s - 5*o + x, 0 = 2*s - o - 22. What is the remainder when 28 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02821 + 0.0219.\nAnswer: 0.05011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i - 100 = -27*i. Solve -2*v - 4 = -2*m, 7*m - i = v + 2*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from kmmkmkm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*a - 37*a - 7 + 22 - 12.\nAnswer: -63*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2672 is divided by 1336.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 863579414?\nAnswer: 2, 179, 2412233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*v + 3*w + 46, -w + 34 = 3*v. Suppose 11*j + 22 = v*j. Suppose 0 = -3*f - p + 14 - 1, 0 = 2*f + 3*p - j. Solve -m - 3 = -f*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30130303030 (base 4) in base 11?\nAnswer: -192a073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*s + 210 - 188. What is the tens digit of (-51)\/24 + s + (-88815)\/(-248)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 34 + -26 - (6 + 1). Solve b - 19 = -4*p - 2*b, 0 = p - 3*b - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjtfeq. What is prob of picking 1 t, 1 e, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 103340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -9, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -340 = -5*g - 5*t, -4*t - 142 = -5*g + 3*g. Suppose -111 = -10*s + g. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 8824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19527 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (1 - 6) - (14 - -22)) + -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.9 + -0.9. Let j = -0.14 + 12.14. Let c = -11 + j. Put -4, c, x in decreasing order.\nAnswer: x, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -p + 6. Suppose 0 = p*j - 54 - 56. Let g = -297 + 316. What is the remainder when j is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - 45*c**2 + 93*c - 26. What is the remainder when 354 is divided by x(-47)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 3:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (-9 - 26) + 47.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/570 and -37\/315.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 1:02 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -134331.\nAnswer: 4\/134331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 62*g - 2. Let h(w) = 5*w**2 + 315*w - 11. Determine 4*h(t) - 22*l(t).\nAnswer: -2*t**2 - 104*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-25)*5\/2. Let n = 3 + d. What is the smallest common multiple of 14 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6110, -11859, -17610, -23363, -29118, -34875, -40634?\n\"Answer: -g**2 - 5746*g - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 69*b - 6656. Let w be j(-123). Let c = 2.2 + -1.2. Sort w, c, 0.3 in increasing order.\nAnswer: w, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of m**7\/462 - m**6\/330 - 3*m**5\/110 - m**4\/66 + 5*m**3\/66 + 3*m**2\/22 + 16*m. Determine i so that a(i) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5.6?  (a) -5  (b) -3  (c) 2\/17  (d) -3\/7  (e) 3\/328  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -3*h - 2*s - 94855, -4*h + s - 126485 = 0. What is h rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 3*a - 5, 4*y - y + 5*a - 7 = 0. Suppose 0 = -p + 3, 2*m + 6 - 23 = -3*p. Let c(h) = -m*h + 2 + 2 + 4 - y. Determine c(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.21  (b) 5  (c) 16\/7  (d) -309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 979150*o**2*z**2 - 2*o**2*z + 972257*z wrt z?\nAnswer: 1958300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**3\/9 + 14*a**2 - 754*a\/3 + 8410\/9 = 0. What is a?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 27495 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124*42.\nAnswer: -5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20442 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(-2\/5)*n)\/n)\/n)\/n)**(35\/3)*(n**4\/n)**(6\/5) assuming n is positive.\nAnswer: n**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*t + 204*t + 7944 = -567*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3*u**2 + 8*u - 22. Determine k(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 436 - 201. Suppose 41*l = 11 + v. What is the least common multiple of l and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*n**2 - 10 + 10 + (46 - 12 + 33)*(-3*n**2 - 4*n**2 + 6*n**2).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 34613191*j. Let o(n) = -5*n. Calculate k(o(w)).\nAnswer: -173065955*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 206650 to the power of 1\/2, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -610*u + 6*u**2 + 610*u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -390, -877, -1386, -1839, -2158, -2265?\n\"Answer: 13*i**3 - 89*i**2 - 311*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3940187000 to the nearest one million.\nAnswer: -3940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 3*r - 85. Let t = -17 - r. Let l = t - 0. Solve l = 4*f - 2*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -33*f - 83. List the prime factors of p(-18).\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b - b**3 - 11*b + b**2 + 17*b - b**3 + 0*b**2 - 1 to the form o + r*b**3 + m*b + c*b**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1938 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: Suppose 6 = h - 3*o + 3, -2*o - 24 = 3*h. Calculate the remainder when 62 is divided by (18\/(-15))\/(h\/80).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (-34 + 4)) + (-52 - 4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 390528.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2354, -2238, -2122?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 125 - 95. What is the remainder when 45 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -24 - 0. Let o be (1 + 0)\/((-1)\/(-31)). What is the units digit of 4\/r - o\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2020002 - -2221102002?\nAnswer: 10000122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -p - 5*d, -4*d - 8 = -2*p + 92. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {i: 5, e: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/24 and -149\/1698?\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1800, 1801, 1802, 1803, 1804?\n\"Answer: x + 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 15*h**2 - 23*h - 36. Let m be p(13). What is the tens digit of 5*(-20)\/(-25) + 137 + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 8. Suppose -14 - m = -3*u. Let j(k) = 7*k - 4. Let b be j(4). Calculate the highest common factor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.4+8611.9\nAnswer: 8607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61616 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 44 and -7827230601.\nAnswer: -7827230557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7218532 micrometers in centimeters?\nAnswer: 0.00007218532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n + n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 5*w**3 - 90*w**2 = 0?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of i**3\/3 + 11*i**2\/2 + 39*i + 28. Let z be b(-5). Solve 2*u - 2*q - z = -q, -3*q + 17 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 9 + -1 + (3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 + 4*h**2 - 4*h - 11. Let i be p(-4). Suppose 4 = -i*u + 19. Suppose -2*d - u*d = -2365. Calculate the greatest common divisor of 43 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 3\/10  (c) -2  (d) 320  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + 2. Let p be m(2). Is 20 + (-2 - p) + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1266024)\/(-29104)*(0 + (-8)\/42)?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jfw. What is prob of picking 1 f and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 723130 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 671 - 596. Let f = p + -75. Solve 12 = 4*v + 4*q, q + f = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of h**4\/6 + 2*h. Suppose 0 = -0*k - 4*k + 8. Let z(y) = 4*y**k + 4*y - 4*y. Determine z(r(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - -4 - (45 - (-21 - -47))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3129, 6185, 9239, 12291, 15341, 18389, 21435?\n\"Answer: -i**2 + 3059*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - v = -21, -4*z + 6*v = 5*v - 69. Let f = 30 - z. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87, -97, -121, -165, -235, -337?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 8*n**2 - 7*n + 2. Let b be j(-7). Let t be -2 + 4 - (b - 4). Solve 0 = f - t*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 5 = 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.71254848 take away 743?\nAnswer: -738.28745152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 12:53 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 700 and 22?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 163\/5 - 32. What is the second biggest value in -12, z, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -384, -3\/8, -3, 0.5, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -707 or -0.128?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25489.\nAnswer: 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/113  (b) 330  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of -o**9\/504 + 11*o**7\/210 + o**5\/12 - o**4\/6 - 27*o**2. Find the third derivative of c(p) wrt p.\nAnswer: -120*p**3 + 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 20 + d**3 + 32*d**2 + 7*d + 39*d**2 - 77*d**2. Let h be f(5). Which is smaller: 17 or h?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3\/5 - 11976*i**2\/5 + 71772*i\/5 - 95664\/5.\nAnswer: 3*(i - 3986)*(i - 4)*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 10*k**2 + 6*k - 8. Let c be j(10). Suppose c = -2*w + 4*w. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1565*p + 1565*p - 2*p**2 + 0*p**3 - p**3 + 155 to b*p**2 + w + z*p**3 + r*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9034 is divided by 368.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 4*o - 24. Let x = o + 6. What is the smallest common multiple of -1 + x\/2*-11 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 274518753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by 4024.\nAnswer: 5\/1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 43533790 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 886652 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -32295, -103656, -222585, -389076, -603123?\n\"Answer: t**3 - 23790*t**2 + 2*t - 8508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -248979040*i**3 - 35745608*i + 5?\nAnswer: -1493874240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4 = 0, -t + 28 = 2*j - j. Let c be t\/4 - 1\/2. Does 19 divide (42\/(-4))\/((-3)\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 6*d + 4. Let l be 8\/(-6)*(-27)\/(-6). Let t be u(l). Suppose t*b - 4*o = 0, 8 = -2*b + b + 5*o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13035*n - 14629 wrt n.\nAnswer: 13035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + 15\/(-9) + 80\/(-15). What is the biggest value in 2, -4, g, 1.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 127*t + 7. Let j(o) = -63*o - 3. Give -2*g(v) - 5*j(v).\nAnswer: 61*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 + r**5 - 2*r**2 + (r**5 - 2*r**5 - r**5)*(0 - 4 + 2) - 16*r**5 - 2 + 28*r**5 + 3.\nAnswer: 17*r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**2 + 11*c - 11. Let j(p) = -p**2 - 4*p + 4. Let t(o) = 11*j(o) + 4*v(o). Let q(g) = 7*g**2. What is q(t(m))?\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.573 and 0.26?\nAnswer: 0.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = 86*v - 803. What is the greatest common factor of 2640 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(3 + 3 - 3). Sort -2, a, -2\/5 in increasing order.\nAnswer: a, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2. Let i(v) = 968*v. Give k(i(m)).\nAnswer: 937024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13211*a**2*p**2 + a**2*p + a*n*p**2 + 962*a*n*p + 10*n - 4*p wrt p.\nAnswer: 26422*a**2 + 2*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1689 = -3*q + 3*a, 2*a + 15 = 9. Calculate the greatest common factor of 70 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2576 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80497 is divided by 18479?\nAnswer: 6581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 divided by 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 8*j**4 + 2*j**3 - 4*j**2 - 44*j + 24. Let c(p) = -7*p**4 - 3*p**3 + 3*p**2 + 43*p - 24. Let n(f) = -7*c(f) - 6*u(f). Determine v so that n(v) = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from wuwuwspxw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44 - 40. Suppose 0 = 4*y - a - 31, -k*a = 2*y - y - 12. Calculate the lowest common multiple of (6\/(-2))\/(-8 + (-1025)\/(-130)) and y.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 7. Let f be 5 + c + (2 - 1). Suppose -8 - f = -5*n. Solve 1 = -n*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6733 - -8221. What is the least common multiple of s and 16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 - 5*f**2 + 5*f**2 - 9 - 6*f. Determine j(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 23b + -4?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -36. Let p = k - -47. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21 + -17. Let i be (0\/3)\/(u\/(-1) + 7). Which is greater: i or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*r - 97*r = -62*r + 41*r + 4956 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 2\/15*r**3 + 0*r + 1\/15*r**4 - 2 + 1\/15*r**2. Find z, given that w(z) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/8 - 1\/(-2). Let b(n) = 2*n - n - 54*n**3 + n**2 + 65*n**3. Calculate b(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 49*q - 152*q - 18 + 51*q + 51*q. Give w(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - -1.2. Let u = i - 0.6. Let m = 16 - 16.1. Which is the closest to -0.1?  (a) u  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from fifiiiiyiffifiififfi?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 1)*(2 + 3*q**4 - 2*q**4 + 4*q**2 + q**4).\nAnswer: -8*q**4 - 16*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/1997 or 0?\nAnswer: -2\/1997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**3 - 3818 + 3820 - 11*j - 2*j**3 to the form m + r*j**3 + o*j + d*j**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 195312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**3*l**2 + 329347*i*l**2 - 520562*l**2 with respect to i.\nAnswer: 3*i**2*l**2 + 329347*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2483 is divided by 2395?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 5*j + 1. Let h be c(-5). Let m = h - -3. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -39*x. Let i(p) = 8*p**2. Determine s(i(b)).\nAnswer: -312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 189 + -183. Suppose -8*d = -2*d - o. Solve -5*z - a - 1 = d, 4*z - 2*a - 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 36*f**2 - 23*f - 117. Is u(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35904 and 6528.\nAnswer: 71808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 10*g**2 + 28*g + 16. Let j(l) = -3*l**2 - 9*l - 5. Let c = -715 - -731. Suppose -2*v = -0*v - 10. Give c*j(f) + v*k(f).\nAnswer: 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2318 = -f + 539, -2*w + 5*f = -2887. What is the remainder when 2\/(-5) + w\/15 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -8*v**2 + 22*v - 14. Let u(g) = -9*g**2 + 23*g - 13. Let b(x) = 7*o(x) - 6*u(x). Let n be b(6). Solve 3*y + r + 0*r = -7, y - n*r = -11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 11*h**2 + 6*h - 13. Let q(y) = -20*y**2 - 9*y + 26. Calculate 3*q(b) + 5*w(b).\nAnswer: -5*b**2 + 3*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 8*q - 5. Let g be j(6). Suppose 0 = -4*s + g + 1. Let u be ((-4)\/(-4))\/(s\/62). Calculate the greatest common divisor of u and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 258 = -0*b. What is the units digit of 2 + b*(-3)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -70 and -343.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 32 = 3*w. Let c = -4 - w. What is the third derivative of i**2 + 0*i**2 + 3*i**5 - c*i**5 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 17 + -3 + 1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2570 - 2578. Let d(v) = -v**2 - 8*v - 33. Give d(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.075241 years in millennia?\nAnswer: 0.000075241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 0 - 2\/5*o**5 + 0*o**4 + 0*o + 17\/6*o**3 + 5*o**2. What is the derivative of v(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 10618 + 115926 = 0. Let t = -3660 - i. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**4 - 64*g**3 - 65*g**2 = 0. What is g?\nAnswer: -1, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1020\/205)\/(-1) - -5. Let w = l - -79\/123. Let s = 2 + -2. Put w, s, 0.1 in decreasing order.\nAnswer: w, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2028, 7876, 17542, 31026, 48328, 69448, 94386?\nAnswer: 123142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -19, -5.2, 2 in decreasing order.\nAnswer: 2, -2, -5.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/7, 4, 2, 0.11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 - 1)*((1 + 1 - 4)*(g - g + 2*g) - 4*g - g + g) to k + w*g and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -2*b - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -27\/22, 2\/3, 13, -1, -175?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w - 1. Let n(m) be the second derivative of -m**3\/6 - m**2 + 6*m. Give 3*n(p) - 6*z(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*u**2 + 27*u**2 - 14*u**2 + 0*u**2 to the form h + x*u**2 + b*u and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5.8 in -3\/4, 916, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of w**5\/10 + w**4\/8 - w**3\/3 - w**2 + 14*w. Let c(t) = -17*t**2 - 8*t + 6. Calculate -4*c(m) - 11*j(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 10*d - 10. Let w be b(12). Let a = w + 26. Suppose 0*y = 5*y - a. Solve 4*n = -v - 4, 2*n = 4*v - 2*v + y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.84 take away 5?\nAnswer: 28.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8515\/396 - 235\/11. Calculate the common denominator of w and 3 + 0 - (-616)\/(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308.0387 centimeters in nanometers?\nAnswer: 3080387000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 0.05988\nAnswer: 0.23952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -8 - (-2 + 6)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/3 + 7150*i**2\/3 + 14318*i + 21486.\nAnswer: -2*(i - 3581)*(i + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369531 a multiple of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554694.\nAnswer: 2, 3, 7, 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 15*w + 16. Let q be g(6). Suppose 3*t + 5*z - 157 = 0, -2*t + q = -3*z + 6*z. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2219.7 + -2123. Let h = u + -91. What is h rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 10*g + 4. Let c = -115 - -108. What are the prime factors of v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 24*a**2*c**2 + 752*a**2*c + a**2 - 3*a*c + 358*a + c + 550 wrt c?\nAnswer: 48*a**2*c + 752*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 6*f + 3910. Suppose x - 5*r = -x + 815, -f = -5*x - 4*r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -112?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 + -0.42. Let k = n - 7.12. Let q = k - -7. What is the biggest value in 3, q, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 + 8*w - 10. Let c(r) = -2*r**2 - 14*r + 20. Let o(f) = 3*c(f) + 5*x(f). Give o(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a = 12*a + 2. Let n = -2820\/31 + 47941\/496. Calculate the common denominator of n and a\/3*711\/(-132).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -201.8 + 201.5. Let j = 34\/5 - 7. Sort -0.13, -1, j, a in ascending order.\nAnswer: -1, a, j, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7681388501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 306 + -155. Suppose 4*q + 3*l - 135 = m, 2*q + l - 142 = 0. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {u: 2, c: 3, n: 1, g: 2, z: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1851438, -3702888, -5554338?\nAnswer: -7405788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 10010111111111000?\nAnswer: 10010111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yvepeku. What is prob of sequence pey?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -3*p**7\/280 - 11*p**6\/160 - 3*p**5\/20 - p**4\/8 - 26*p**2. Solve k(x) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -12. Solve s = -2*w + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -7 + (-30)\/105*-938. Calculate the greatest common factor of 2059 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 243 + -256.2. Let b = -13.2182 - f. What is b rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/405 + 116116\/(-3132)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 591 + -586. Suppose 4 = l*h - 4*k, -40*h + 44*h = 4*k. Calculate the smallest common multiple of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 + 7*q - 10. Let y = 374 + -369. What is l(y)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6224945293?\nAnswer: 7, 889277899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -719 - -1222. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(7) + sqrt(2401)\/sqrt(7))**2 - (sqrt(7) + (sqrt(112)*2 - sqrt(112))**2)) + ((sqrt(7) + -1 - sqrt(7)) + -4 - (1 + sqrt(567) - sqrt(567))**2)).\nAnswer: -5*sqrt(7) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-1)\/(-16)*((-124)\/11)\/(1431\/(-15741))\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4304184 to the power of 1\/2, to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -333*k - 5940 = 181*k + 80*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-8) + 201\/6. Suppose 2*l = 2*b + b - 23, 0 = -4*b + 2*l + k. Let t be 1*b*(-6)\/(-18). Solve -t*h + h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -58 in descending order.\nAnswer: 4, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.89545747 + 0.0402\nAnswer: 0.93565747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 4. Let p = -0.39 + -0.01. Let b = p + 0.2. What is the smallest value in b, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - c = 13, -t + c = -0*c - 1. Suppose 12 + t = 4*q. Suppose 0 = 258*u - 261*u - 9. Put -4, q, u in decreasing order.\nAnswer: q, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8215660 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18966 = 2669*g + 205796 for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**5\/20 + t**4\/3 - t**3\/6 - 2*t**2 - 2*t. Let x = 18 - 15. What is the remainder when x is divided by a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -46923*f + 1. Let p be d(-13). What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 36. Suppose -5*f - v = -0*v - j, -f + 1 = -v. Solve 3*q + 3*y - 15 = 0, 5*q - 5*y = f*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21290 divided by 5.\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (102 - 63) + (-1 - 2) + 1 - (-1 - -12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -9, -7385, -5 in ascending order.\nAnswer: -7385, -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.112252 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 9439.916ms?\nAnswer: 9439916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 129 - -93) + 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -5*q**3 - 345*q**2 - 2650*q + 3000 = 0.\nAnswer: -60, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1ead (base 15) in base 3?\nAnswer: 100011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate n*p*z**3 - 227*n*z - 78*p*z**3 + 40*p*z - 3*p + 68*z**3 with respect to p.\nAnswer: n*z**3 - 78*z**3 + 40*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 1092.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -v**5\/20 + 7*v**4\/12 + v**3\/3 - 4*v**2 - 2*v. Let j be w(7). What is the tens digit of (-108)\/(-11) - j\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51548300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 3. Solve u - 3*j = 0, 0 = 3*u - x*j - 3*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/5 + 1262*i**2\/5 - 8*i\/5 - 5048\/5.\nAnswer: 2*(i - 2)*(i + 2)*(i + 631)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6699199 is divided by 2233055.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c*c\/c**(-19))**(2\/15) assuming c is positive.\nAnswer: c**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 13) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 20 - -7326?\nAnswer: 7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -h - 5*x - 28, 5*x - 25 = 0. What is the second derivative of 30*k**4 - h*k**4 + 43*k**4 - 46*k wrt k?\nAnswer: 444*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5492*m**2 + 2047*m?\nAnswer: -10984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.16772 and 204.0023?\nAnswer: 204.17002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 100)\/4 + 2 + -1. What is the second derivative of 16*j**2 + 13*j**2 - 29*j**2 + y*j**5 - 22*j wrt j?\nAnswer: 520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122011021 (base 4) in base 11?\nAnswer: -73294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -19, -41, -71?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h**2 + 14*h - 4. Let m be y(7). What is the third smallest value in m, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 793*n + 1459*n - 27024 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 196*t**2 - 166*t**2 + 5 + 11*t - 6*t - 6*t to the form c*t**2 + p*t + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 13*k**2 + 35*k + 2. Is i(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -c**7\/1155 - 13*c**6\/660 - c**5\/10 + 7*c**4\/12 + 98*c**3\/33 + 163*c**2. Find p, given that n(p) = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/10539 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 953 + 282. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3234 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of 7*w**2\/2 + 7. Let h(v) = -132 - 6*v + 132. What is h(o(i))?\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 0*v + 1\/60*v**6 + 1\/4*v**4 + 16*v**2 - 1\/3*v**3 - 1\/10*v**5 + 0. Factor s(r).\nAnswer: 2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 - -21. What is the units digit of 13\/((-5)\/(k - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -62645, -501168, -1691445, -4009352, -7830765, -13531560, -21487613?\n\"Answer: -62646*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u - 50. Let n be w(26). Let q(l) = -3*l + 1. Let t(a) = -a. Let g(p) = -q(p) + 4*t(p). Let s be g(-4). Solve -n*z - s + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -402 - -1187. Let w = -416 + q. Suppose -115 - w = -4*u. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1368.000741 + 1368. Round p to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 414863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 6*j**3 + 7*j**2 + 4*j + 4. Let r(p) = -7*p**3 - 7*p**2 - 5*p - 4. Let s(h) = 6*d(h) + 5*r(h). Is s(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16434390 and 4?\nAnswer: -65737560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 + 82. Suppose 0*x + u = 4*x. Let d(k) = -k + 10. Let j be d(x). Solve -j*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -k**4\/4 + k**3 + k**2 - 3*k + 11. Give u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 10652*z - 477291. Give s(-45).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25617756 to the nearest integer?\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of d**5\/15 + 2*d**2 - 1838*d. Let q(k) = -22*k**2 + 19*k**2 + 39*k**2. Calculate q(g(o)).\nAnswer: 576*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 75683314093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1860832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -60 + 155. Let q = k - 13. Calculate the least common multiple of q and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 420*a**2 + 354*a**2 - 780*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5686*l + 95091 = 3169*l - 73548 for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/301 and -27\/26445602.\nAnswer: 185119214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17578 - 2682*m - 1815859 - 115467*m**2 + 115466*m**2.\nAnswer: -(m + 1341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5159\/58050 + 4\/1075. Let p = 335\/16 - 2303\/144. Find the common denominator of p and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1658906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 119*m + 1477. Is w(45) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(8\/9)\/(z\/(z**6*z)*z) assuming z is positive.\nAnswer: z**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -669*z - 8663 + 5639 = 12363 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 3. Let h = 0.5 + -0.2. Let n = 1.3 - h. What is the nearest to n in 2, x, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-5 + (-1 - 0) + 5) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 4*u**2 + 15*u - 22. Calculate o(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) - sqrt(117)*1*-2)\/((sqrt(225) + sqrt(9))*5).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 10:07 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270*j - 38*j - 2295 = -18303 for j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*x + 5*l + 10 = 70*x, 2*x + 5 = 5*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 2421588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 67992721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1404 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1798.542 months in millennia?\nAnswer: 0.1498785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1266 + 1270. Factor 0 - 4\/7*s**5 - 16\/7*s + 12\/7*s**3 - 16\/7*s**2 + 8\/7*s**j.\nAnswer: -4*s*(s - 2)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 6:42 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 13368 = 70*x - 71*x, -4*x + 3325 = t. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 771181408.\nAnswer: 2, 173, 139303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1978469702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 12:08 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1990570 to the nearest 10000.\nAnswer: -1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 11) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**3 - 107*z**2 + 274*z**2 + 1562*z + 432*z**2.\nAnswer: 9*z**3 + 599*z**2 + 1562*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 5 - 1 + 8 + h**2 - 2*h**4 as u*h + q*h**3 + a*h**4 + y*h**2 + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-5) + (9 - 7175\/750)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46125.33827 + -918.63073. Let o = 47069 + g. Let y = -25 + o. Round y to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1604134.9 to the nearest 10000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-10)\/(-2) - 396\/88)*(-7754)\/(-1).\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 342219*g**3 + 349264*g**2?\nAnswer: 2053314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -16*(-42)\/(-49) - 10\/(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/7421 and -34\/37105?\nAnswer: 37105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 804 + -382. Let i = w + -418. Calculate the least common multiple of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r**2 + 2*r - 5*r**2 + 10*r**2 + 1)*(0 + 2 - 1)*(-5018 + 3337 + 3000) to m*r**2 + b*r + w and give b.\nAnswer: 2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6932857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z. Let n(c) = 2*c. Let p(r) = -3*n(r) - 4*w(r). Let v(i) be the third derivative of 25*i**4\/24 + 12*i**2. Determine v(p(g)).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 16*y + 7\/6*y**3 + 0 - 6*y**2. What is the first derivative of j(a) wrt a?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 7:02 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) 348  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14, -0.5, -2\/7, -3\/14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 289 - 299 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 4)*(7*y - y - 2*y + (7*y - 4*y + 4*y)*(-3 + 6 - 2) - y - y + y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 i, and 1 s when four letters picked without replacement from ptithtsdtpdidpsdi.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 + 20*f\/3 - 22\/3.\nAnswer: 2*(f - 1)*(f + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2. Let s(x) = x + 1. Let n(m) = -3*b(m) + 2*s(m). Let u be n(3). Solve 7 = -2*g + 3, -12 = 4*p + u*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 3*d - 141 - 21 = 0, 4*s + 225 = d. Let p = s - -65. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-3)*q*q)**19)**(-14))**(-4\/7) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -126062.4 rounded to the nearest one hundred?\nAnswer: -126100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((-1*(sqrt(68) + (sqrt(68)*2 - sqrt(68) - sqrt(68))))\/(sqrt(64)*-1) - (sqrt(612) + 3 + sqrt(51)\/(-3*sqrt(3)))**2))*6.\nAnswer: -10006\/3 - 405*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.98688 millilitres in litres?\nAnswer: 0.00098688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 5*j - 1. Let h be u(5). Let o be h\/(-1) + (-3)\/(-3). Factor 16*m + 5*m**3 - 47*m**2 + 17*m**2 - 21*m**3 - o + 32*m**4.\nAnswer: 2*(m - 1)*(m + 1)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -5*y + 32, -9 = 7*q - 3*y - 5. Which is the nearest to 0?  (a) 2\/11  (b) 0.5  (c) 8  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 + -6 - 12 - (-56 + 3 + (-4 - -2)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31600947 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13609*o*s**4 - 200*o*s**3 - 11399043*o wrt s?\nAnswer: 54436*o*s**3 - 600*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1105.2*3.\nAnswer: -3315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.3 - -3.1. Let a = -0.36 + -7.14. Let l = a + y. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4043080 - -3?\nAnswer: 4043083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -64*g + 64*g - 12*g**2. Let r(m) be the third derivative of -m**4\/12 - 24*m**2. Determine r(u(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 145531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21.73*33739\nAnswer: 733148.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**2 - 3*f**2 + f**2)*(-4 + 4 - 5).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1006 to two dps.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1770, 1587, 1404, 1221, 1038?\nAnswer: 855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1351 and 112133.\nAnswer: 112133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*h + 13*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.029 and -819159?\nAnswer: -23755.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {j: 1, e: 1, d: 5, k: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8819\/3474 - -14\/193. What is the common denominator of -139\/18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 1 = -2*a - 3, 1 = -2*g - a. Let s be (1 - -1)\/g + -1. Let i(y) = -y + 33. Let k be i(31). What is the closest to k in -0.5, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -7 + 13 + 3 + -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4021 + 1194*f - 1195*f + 1327 - 1645 - 2470.\nAnswer: -f - 6809","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/6 - -13 - (-12)\/(-4). Let r(j) = -1 + o*j - 10*j**3 + 4*j**3 - 9 + 7*j**3 + 11*j**2. Give r(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.8 + 1.2. Let w = 32\/69 + -229\/345. What is the second smallest value in 2\/11, x, w, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24558103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5980 divided by 13?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = o - 5, -o - 5*v - 1 = -3*o. Let p(w) = 5*w - 12. Let h be p(o). Let t(x) = -x + 2. Determine t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-30) - (-4104)\/405)*-47. Let p = h + 468. Let a = 1 - -1. What is the nearest to p in -1\/3, a, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a**2*n**2 - 87*a*n**2 - 4*n**2 - 25 with respect to a.\nAnswer: 4*a*n**2 - 87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 84?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 7:10 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 641 by -162365.\nAnswer: -641\/162365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -83 + 85. Suppose k = -5*o - 21, v*k + 2 - 5 = -o. Solve 1 = 3*w - k*w + b, -3*w - b = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = -3*z, 5*z + 100*d - 104*d - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1007 - 0.2007. Which is the third biggest value?  (a) -3  (b) v  (c) 0.12  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*k + 3 = -0*p, p + 4*k - 10 = 0. Let o = p - 3. Suppose -o*y = 30 - 108. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {y: 4, g: 5, b: 1, l: 1, q: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/4 - 6502383*w\/2 + 13004765\/4.\nAnswer: (w - 13004765)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**3 - 2*j**2 + 3. Let u be s(1). Let a be u\/(-2)*(-18)\/(-3 + -3). Solve a*l + 20 = -y + 5*y, 4*y + 5*l = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -19*k**2 - 24*k - 62. Let w(v) = 108*v**2 + 145*v + 372. Let s(b) = -34*o(b) - 6*w(b). What is the first derivative of s(z) wrt z?\nAnswer: -4*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/357*35*(-12)\/(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -787*b - 518*b + 32125 = -20*b for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qhi when three letters picked without replacement from whqhiqqiq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/(-10) + -3 + (-5)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 + 4*q**5 + (-3*q**2 + 4*q**2 - 3*q**2)*(-4*q**3 + q**3 + q**3) + 14*q - 14*q + q**5.\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 3*c**3 + 5*c**2 - 9*c + 19. Let i(w) = -4*w**3 - 8*w**2 + 13*w - 28. Let g(b) = 5*i(b) + 7*x(b). What is g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2511809138.\nAnswer: 2, 43, 2903, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/12 + 2\/(-24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41881 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 - -7.7. Let n = 9 - t. Let u = n - 0.8. What is the smallest value in u, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1552376 is divided by 310474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/3))**(12\/13)\/(c**(-13)*(c*c**(11\/5))\/c) assuming c is positive.\nAnswer: c**(742\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -f - 28. Let z be 73\/f - 2\/18. Let d be (-8)\/(-10)*10\/4. What is the highest common factor of z and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, j: 3}. What is prob of picking 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 30078405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1313 and 309060?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -y - 5*p + 4, -5*y = p + 20. Let q = 8461 + -8460. What is the units digit of y*q - (-412)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -509*b + 511*b - 26, 4*b = 3*a - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 721 and 4326?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210224001.\nAnswer: 3, 13, 414643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of p**8\/10080 - p**5\/6 + 11*p**2. Let s(a) be the third derivative of u(a). Calculate s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 989 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 + 34. Suppose -q - 2*k + 8 = -0*q, -q + 4*k = 16. Suppose -y*b - 15 = q, 4*g - 2*g - 5 = b. Solve 0 = -2*r - z + 2*z - 3, z - g = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 365 + -119.97.\nAnswer: 245.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -287767 + 2877671\/10. Factor -11\/10 + m*x**2 - x.\nAnswer: (x - 11)*(x + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182*c**2 + 185*c**2 - 2*c + 2*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 6*s - 3. Let o be k(5). Let u = -0.2 + 0.4. Let m = 0 + u. What is the smallest value in -2\/7, o, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -388*r + 3882. Give f(11).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -0.084  (c) 5  (d) -10.59  (e) 3\/7  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -36. Let w = -44 - n. Let z = w + 21. Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -10. Suppose 131 = q*f + m, -5*f + 4*m + 64 = -87. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104421 (base 11) in base 12?\nAnswer: -806aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12726 and 1.\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - (2\/(-2))\/1. Let l = o + 6. Suppose -2*c - m - 24 = -7*c, l*c - 4 = -3*m. Solve -2*a - 12 + 2 = -d, c*a + d + 14 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12122 and 5858.\nAnswer: 1224322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -143, -598, -1359, -2426, -3799, -5478, -7463?\n\"Answer: -153*x**2 + 4*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 11*a**7\/42 - a**5\/15 - 11*a**3\/3 - 9*a**2 - 5. What is the third derivative of u(b) wrt b?\nAnswer: 1320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5344 by -334.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 349306 <= 349300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/(-37)*(-11389)\/(-16270) - 2\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 4. Let s be 0\/(-1*(c - 2)). Suppose s = -5*t + 36 + 199. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.63344 days in nanoseconds?\nAnswer: 6966729216000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -254*h + 271 - 17. What is the highest common divisor of 229 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -38, 0.1, -0.23.\nAnswer: -38, -0.23, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of -w**8\/1344 - w**7\/140 + w**6\/480 + w**5\/40 - 11060*w**2. Suppose j(u) = 0. What is u?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330327499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**2 - 38*v**3 + 1007 - 1007.\nAnswer: -38*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*g**2 + g**2 - 3*g**2)*(1 - 27 + 29 + 24*g**2).\nAnswer: 168*g**4 + 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-1)\/(-2))\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 13 - 10)*(0*g**2 - 8*g**2 - 12*g**2)*(0*g + 2*g + 0*g).\nAnswer: 1240*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tud when three letters picked without replacement from uuuztzd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 3, -0.3, 1\/32, 1, -8\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**3 + 653208*y**2 + 11105150*y - 11758356 = 0.\nAnswer: -18, 1, 326621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 30*j**2 - 10*j + 138. Calculate c(30).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0 = -6. Let z be (-6 - -1 - 2)*1. Let d(l) = -2*l + 6. Let r be d(z). Solve i*f = f + r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (11\/(-33))\/((-2)\/6). What is the greatest common factor of 11 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -101534989 and 11079.\nAnswer: -101523910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - 80\/3)*126\/(-7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ayaya.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2860 and 1477060.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91 - -232. What are the prime factors of t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 + -75. Let s = i + 144. What are the prime factors of s?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**4\/6 - n**3\/6 + 10*n**2\/3 = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003538425872 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from zrrrqztqzmzqgzzrzq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f. Let o(g) = 8*g**3 - g**2 + 1. Let c be o(1). Suppose 2*n = -2 + c. Let s(i) = n*i - 3*i + 0*i - i. Give s(j(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (48\/(-1440))\/((-1)\/4). What is the nearest to -1 in 3, -35, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, i: 4, j: 8}. What is prob of picking 3 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 562825500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-12516 + 17 + -12)*-1 is divided by 291?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1478931\/50 + 29580. What is the common denominator of m and 81\/14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 2)\/((-8)\/20). Solve 1 = -u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -25. Let l = j + 19. Let f be (1\/3)\/(40\/6 - l). Which is the third smallest value?  (a) 1\/12  (b) -3  (c) -0.3  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 16415674?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -2.283, -3 in decreasing order.\nAnswer: -2\/7, -2.283, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -6*n**3 - 2*n**2 + 4*n - 2. Let q(v) = 7*v**3 + 3*v**2 - 4*v + 3. Let u(t) = 3*o(t) + 2*q(t). What is the second derivative of u(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**27\/z)\/(z*z**2))\/(z**8)**(1\/2) assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**2 + 27*m + 21. Let g(z) = -z**2 + 14*z + 10. Let o(b) = -5*g(b) + 3*w(b). What is the remainder when o(11) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*y - 10, -1791 + 1794 = 3*q. Solve 0 = -2*l + y*w + 2, -5*w = 4*l + 14 + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1516, 2931, 4346, 5761, 7176?\nAnswer: 8591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u. Let r be i(-4). Calculate the remainder when 54 is divided by (2 + 10\/r)*-28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -2676?\nAnswer: 8028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 + 42. Solve l*a = 2*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.18 + 0.05. Let v = 0.05 + y. Let c = 0.079953 + v. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, -1, -95, -315, -703, -1301, -2151?\nAnswer: -3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 4*d**2 - 3*d + 6. Let a be w(6). Suppose 8*j + 101 = 301. Let n = a - j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 26\/6 + (-2)\/(-3). Suppose 0 = -0*v - p*v. Suppose v = i + 5*c - 244, -i - i + 515 = c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -63*a - 330. Let g be h(-5). Let q be (-5 - 0)\/5*-2. Put 4, q, 0, g in decreasing order.\nAnswer: 4, q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113096887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17, -302, -621, -940?\n\"Answer: -319*v + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 781069208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 5*w - 4. Let g(u) = -5*u + 3. Let y(z) = 6*g(z) + 5*m(z). Let l = -64 + 60. Let f(o) = 9*o + 4. What is l*f(r) - 7*y(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 w when three letters picked without replacement from {w: 2, i: 1, y: 1, b: 4, x: 2, r: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -18*t**5\/5 + t**4\/2 - 61*t + 28. Find the first derivative of r(x) wrt x.\nAnswer: -72*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5170 or 5174?\nAnswer: 5170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -129, 0.05, 0.2 in descending order.\nAnswer: 0.2, 0.05, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12382422 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: Suppose 0 = -4*t - 2*d + 32, -47*d = -2*t - 46*d + 16. Solve 5*q - 30 = -w, -t + 13 = 4*q - 3*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 32199152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 218*g**2 - 119*g**2 + 379*g**2 + 306*g**2 + 16*g**2 to z*g + r + o*g**2 and give o.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -238 divided by 2\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.1854 times 0.4\nAnswer: 0.07416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -4372912?\nAnswer: 13118736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 4*z. Let y(f) = 274535*f**2. Give y(m(l)).\nAnswer: 4392560*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2. Let g(q) = -463382234*q. Calculate s(g(r)).\nAnswer: -429446189573661512*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 15*y**3 - 10*y**2 + 7*y - 7. Let f(b) = -2*b**2 - 7*b**3 - 4 - 4*b + 8 + 6*b**2 + b**2. Let l(r) = 3*a(r) + 5*f(r). What is the tens digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/7)*n)**(-14\/15)\/(n**7\/n*n**(2\/9)))**46 assuming n is positive.\nAnswer: n**(-15364\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1607*s - 3225*s - 82 = -1606*s + 638 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) 4  (c) -0.4  (d) -2  (e) -0.0434  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*0.06\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40261.1832 - -48841.93325. Let u = -8581 + f. Let k = -0.25 - u. Round k to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-609)\/870)\/((-2)\/(-4))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zivtvzvvi. What is prob of picking 2 i and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.1 - -3.9. Let s = -0.02 + -0.18. Sort j, -1\/2, s in decreasing order.\nAnswer: j, s, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5067324*k*r**2*u**3 - 2*k*r**2 + 172*k*u**3 - k*u + 6*r*u**2 + 2*r*u - 7*u**3 wrt r.\nAnswer: 10134648*k*u**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 898.017 + -443.455. Let f = 455 - h. Let r = f - -0.062. What is r rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**2\/2 - v - 1117. Let u(k) = -16*k. Determine u(z(d)).\nAnswer: 16*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6204917?\nAnswer: 23, 269779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15*w = -230. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 467, -1343, -6261, -15841, -31637, -55203, -88093, -131861?\nAnswer: -188061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(20\/9))\/((((z**(-13)*z)\/z)\/z)\/z)*(z**(5\/4))**11)**48 assuming z is positive.\nAnswer: z**(4604\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 40, 69, 108, 157?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 13*r**2 + r - 68. What is o(13)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*q - 61*q = -2*q + 320. Put 6\/13, q, 1\/7, -0.08 in descending order.\nAnswer: 6\/13, 1\/7, -0.08, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407721678?\nAnswer: 2, 3, 7, 13, 746743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 330315509 to the nearest integer?\nAnswer: 18175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -7\/24*d**4 + 0 + 0*d - 13\/6*d**3 + 1\/60*d**5 + d**2. Let s be c(10). Solve -3*a = -s + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3400553 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + q**2 + q**2 + (0*q + 5*q - 4*q)*(-2*q + q + 2*q) + q**2 + 0*q + 0*q + 7*q**2 - 2*q**2 + 3*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66444*a - 34 = 11*f - 66439*a, -10 = 4*f - a - 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/80 and 8\/(-96)*3 - (-9)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46\/429 + -10\/39. Suppose -35 = -4*k + 9. Find the common denominator of k and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 3:11 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3.1. Let b = g + 0.9. Let o = 3\/20 - 19\/60. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 9*r - 30. Let z(s) = 4*s - 15. Let a(k) = 2*l(k) - 5*z(k). Suppose 191*t = 42961 - 41242. Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 2 = -4*k - 7, -32 = -3*k + 4*b. Suppose -20 = -5*q, 18 = -s + 5*q - k. Let w be (-9)\/2 + 2 + 2. Is s equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**5 - 9248*b**4 + 2*b**2 + 21 wrt b?\nAnswer: 120*b**2 - 221952*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a + 19. Let c = 259 + -259. Suppose -4*u - 16 = -3*i - c*u, -3*u - 12 = -3*i. What is d(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((84 - 0)\/2)\/1. Let v be (f\/5)\/(4\/20). Suppose c - 4*c + v = 0. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75204814 - 0.1438.\nAnswer: -75204814.1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a - 1 + 17 + 2*a. What is the smallest common multiple of r(-12) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = j - 4*z, -4*j - 2*z = z - 62. Suppose -h + 3*h - 14 = 4*c, j = 2*h - 3*c. Solve 0 = 4*r + h - 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c**3 + 5 - 575*c - 573*c - 15*c**3 + 1149*c in the form u*c**2 + m + v*c**3 + h*c and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 2*o**5\/3 + 274*o**4 + 97408*o**3\/3 + 2620480*o**2\/3 + 4211200*o - 141376000\/3 = 0.\nAnswer: -188, -20, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l - 2*l**2 + 5*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 34.4621\nAnswer: 137.8484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6772275509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.46598kg to nanograms.\nAnswer: 85465980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) -0.4  (c) -4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17025.88451 + 0.69.\nAnswer: 17026.57451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 divided by 35.\nAnswer: 51\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 19055 * -77.9.\nAnswer: -1484384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 249?  (a) 90  (b) 0.4  (c) -2\/667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-12)*3267\/968?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 19 = -3*h, 0 = -3*h + l + 5 - 1. Suppose 0 = -2*a + 9 + 5. Let x be (-2)\/(-4) + a\/14. Solve 3*y - 3*n = -9, -2*y - x = h*n - 4*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 910 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*f = 45. Let o(t) = t**3 + 8*t**2 - 8*t + 11. Let z be o(f). Let b(j) = 4*j + 1 + j**2 - j**2 - j**2. Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106065943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -83de?\nAnswer: -83da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2248920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43464 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 15) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2389506191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -21, -74, -179, -354?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1946 and 1?\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 33 = 5. Let g(t) = -t**2 + 7*t + 2. Let z be g(x). Suppose 0 = -3*s - 5*f + 41, 44 = z*s - 3*f - 2*f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-665820)\/(-60280) + (-2)\/44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 446623 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 22, 65, 146, 277?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -686.64986257\nAnswer: -683.64986257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 0*x + 6*x + 6329*x**2 + 5 - 6327*x**2. Calculate y(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 377164626?\nAnswer: 377164626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4*i - 20, -21 = 5*z - 2*i - 31. Solve z = 4*b - 5*n - 3 + 15, 5*n + 12 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.048 to three decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18.4 - -18. Sort p, -2, 3 in descending order.\nAnswer: 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 12*b**2 - 10*b + 2. Let x be y(-12). Let s = x + -114. Calculate the highest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k - 3. Suppose 0 = 2*h + 3*r + 8, 4*r + 5 = -11. Suppose j - h = 3*j. Let s = j + -3. What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17118 is divided by 4165?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.511 - 1.511. What is the nearest to m in -15, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d + 6. Let s be v(-10). Let g be 0\/(-1*(s + 2)). Suppose 3*t - 6 = -g*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 203428 and -1259?\nAnswer: -256115852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11.23 - 11.03. Let n(k) = -k**3 - 11*k**2 + 30*k + 13. Let d be n(-13). Sort -2, d, u in descending order.\nAnswer: u, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12463, -49864, -112199, -199468?\nAnswer: -311671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a**2 - 2*a + a**4 - 2*a**4 + 7*a**3 + 2*a**2 - a**2 to the form c*a**2 + l + d*a + y*a**4 + n*a**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6045 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - q - 1. Let f = -35 - -52. Suppose 2*g + 15 - f = 0. Let c(j) = 7 - j - j - 9 + 0*j + 5*j**2. Give g*c(r) - 2*m(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 284 - 143 - 142 + 1548*g in the form u + d*g and give d.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*m + m + 2 + 0*m)*(m + m - 3*m)*(-110 + 16*m**2 + 110) as q*m + f*m**4 + g + k*m**3 + y*m**2 and give f.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - a**2 - a - 3. Let v be x(3). Suppose y + v = 4*y. Suppose -y*m + 3*m + 16 = 0. Calculate the remainder when 45 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*c - 5 + 6, -2*c = -i + 5. Is 182 - (-1 + 4)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - m + 1467, -4*z + 17*m - 20*m = -1457. Suppose -3*f - 2*u + 236 = 0, -3*f - 2*f = -3*u - z. What is the lowest common multiple of f and 1?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -256*c - 244*c - 3000 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6666453187.\nAnswer: 31, 101, 2129177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4365 - -1794. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**5 + 146619*z**4\/4 + 298626231*z**3\/2 + 202891531044*z**2 + 455825038752*z + 101277871872 = 0. What is z?\nAnswer: -4072, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1\/3, 0.2, -0.05 in ascending order.\nAnswer: -1\/3, -0.05, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11848550 and 2716.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 46*s**3 - 3*s**2. Let w(q) = -45*q**3 + 2*q**2. Suppose -43 = 131*k - 359 - 77. Determine k*w(a) + 2*y(a).\nAnswer: -43*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -9, 23, 61, 105, 155, 211?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*v - 1 + 0*v - 4*v)*(0 + 6 + 0).\nAnswer: 24*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 332312 + 2?\nAnswer: 332320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -12, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289*h + 290*h = 2*i - 11, -2*i - 2*h + 8 = 0. Solve -16 = -4*v + i*q, 8*v - 9*v + 4 = -q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**4\/13 + 2582924*d**3\/13 + 12914654*d**2\/13 + 20663464*d\/13 + 10331736\/13 = 0.\nAnswer: -2, -1, 1291467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2086131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-nine fifths of a litre?\nAnswer: 7800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -210*x + 211*x = -4, 2*l = -5*x + 498. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127 divided by 783111?\nAnswer: -127\/783111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(-7))\/((h**13\/h)\/h))\/(h**4)**(-6) assuming h is positive.\nAnswer: h**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 9*c - 8. What is v(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -5*b**2 - 19633960*b - 19274619264080 = 0?\nAnswer: -1963396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1390 and 16.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2200*b - 2093*b - 749 = 0. Let i(s) be the first derivative of -s**2\/2 + 3*s + 1. Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-42))\/((-7138)\/301).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**2 + 10*y + 175.\nAnswer: -5*(y - 7)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3 = o - 37, -2*i - 34 = 5*o. Let m = 38 + i. Suppose 2*w - w - 11 = -u, 64 = 5*w + 2*u. What is the highest common divisor of m and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -4211?\nAnswer: -4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 66 = -3*v, 3*j - v = j - 35. What is the tens digit of (j - -9)\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -2\/5  (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 48 = i - c, 70 = 5*i - 5*c. Let r = 8 - i. Let b be (6\/68)\/(r\/12). What is the nearest to 1 in 1\/3, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -72 + 77. Solve 5*w = -0*w - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(19)*-1)*-5.\nAnswer: -10 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10982845 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3*r - 10, 0 = 2*b + 2*r + 10. Let w(k) = -10*k**2 - 24 - 7*k**2 + 16*k**2. What is w(b)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2163 = -7803. Suppose 3*k + k + 2*g = i, k - 470 = -2*g. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y*y**(-37))\/((y**(2\/31)*y)\/y))**(-1\/4))**(-5\/2))**36 assuming y is positive.\nAnswer: y**(-25155\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4790012245 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 8. Let q be j(4). Let y(a) = 2*a + 9. Let u be y(q). Is 8\/5 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 931967 is divided by 232915?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -1312\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7623.22 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 196856\/2237*-3*(-1)\/(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((-7 - -9) + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1 - 8642*j + 4323*j + 4320*j. Let h(t) = -12*t - 8. Give 3*h(a) + 24*p(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 158988 (base 10) to base 4.\nAnswer: 212310030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-15)*2\/8. Let f = 213.4 + -12.4. Let y = -202 + f. Which is greater: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 2, -77\/176541?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -81 (base 9) to base 7\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 60476 and 18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 57984 and 144.\nAnswer: 173952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -8844  (c) -2\/5  (d) 4  (e) 0.5  (f) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 + 44 - ((0 + 5 - 3) + 18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 - k + 20. Let a(d) = d**2 + d. Let b(f) = 2*a(f) + i(f). Let o be b(0). Calculate the highest common factor of o and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 30 - 3\/10*n**2 - 2*n + 1\/15*n**3. Find u such that h(u) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -7*n**2 + 1. Let b(l) = -44523*l**2 + 5044*l + 1261. Let y(i) = -106*i**2 + 12*i + 3. Let t(o) = 6*b(o) - 2522*y(o). Give t(d(m)).\nAnswer: 9506*m**4 - 2716*m**2 + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2*t - 132. Let v = -2150 + 2103. Let l = t - v. Put l, -11, 5 in ascending order.\nAnswer: -11, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3150299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6100 and 10081775.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 - 109 - (-44 - ((-11 - 56) + 20)).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1181, 1161, 1095, 959, 729?\n\"Answer: -4*m**3 + m**2 + 5*m + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1798.1*377.\nAnswer: 677883.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 859717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -723196, -723198, -723202, -723208, -723216, -723226?\nAnswer: -723238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1022062 is divided by 340668?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 73157.06 days in minutes?\nAnswer: 105346166.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6098, 12160, 18222, 24284?\nAnswer: 30346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (260\/315*-3)\/(4\/114). Let n = -70 - v. Sort 6, n, 0.2 in decreasing order.\nAnswer: 6, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2022120220 (base 3) in base 4?\nAnswer: 23020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 316822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 12:43 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (1675 - 19 - (-1 - 1)) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 479 - 472. Solve 0 = i - u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 52*k - 4. What is the hundreds digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 + 1. Let r(v) = -7*v**2 + 9*v - 9. Let s = 7 + -3. Let k(x) = -3*x**2 + 4*x - 4. Let i(o) = s*r(o) - 9*k(o). Give -5*i(l) - 2*z(l).\nAnswer: l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 take away 1450093895442?\nAnswer: -1450093895442.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 2*v + 2*v - 80, -2*l = 4*v - 48. Calculate the remainder when 63 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/26 and -3\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 16, 19, 34, 67, 124, 211?\n\"Answer: w**3 - 4*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 3:30 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3522\/2 + 3)\/(9*(-7)\/(-42)). What is the highest common divisor of 1323 and m?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 7. Let y be -1 + 2\/(-2) + p. Let z be y\/(-3) + (-10)\/15. Is z less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10645\/21 - 507. Let x(n) = -n + 1. Let v(o) = o**2 + 4*o. Let y be v(-4). Let f be x(y). Which is the third biggest value?  (a) f  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 10. Find j, given that 3*j**a + 0*j**2 - 3*j**4 - 2*j**5 - j**5 + 3*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**2 + 65*r - 4. What is the tens digit of y(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 10:48 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1424 + -1392. Put 0, -5, a in descending order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70 - 74. Let f = -22 + i. Let o be 11*(-4)\/f - 4. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*k + 8*k + 18348. List the prime factors of k.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (165\/(-2))\/5 - 45\/60*2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -g**2\/2 - g + 5. Let v(m) = -5*m - 5. Let n be -3 + 33 - 3\/1. Suppose 9 = -2*u - n. Give u*o(w) + 4*v(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*o + 253*o - 285 - 309 = 0. Let x = 2.9 - 15.9. Sort x, -0.3, o in descending order.\nAnswer: o, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-14))\/(((-219)\/876)\/((-21)\/(-8))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 809202 times 0.1?\nAnswer: 80920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/11733 and -41\/74309.\nAnswer: 222927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 84 or 17?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - -16. Suppose 0 = f - 22 - n. Suppose 4*c - 7*c = -3*b + f, 0 = 2*c - 4. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 1. Let q = n - 5. Sort q, -2, 2.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1842, -6583, -14478, -25521, -39706?\nAnswer: -57027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -16, 21, -6, 24\/11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 115 + -115.47. Let w = d - -0.5. Let p = w + 2.97. Is -1\/3 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) -0.2  (c) 0.071  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 721 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x + 108 = 8*x + 3*n, -4*n - 256 = -4*x. Calculate the highest common divisor of 220 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270882 is divided by 12899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4596, -9247, -13890, -18525?\n\"Answer: 4*s**2 - 4663*s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 + -2521?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 335*y**4\/2 - 2283*y**3 + 3150*y**2 + 1516*y - 48 = 0?\nAnswer: -2\/5, 2\/67, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 5*u - 17 = 0, 3*u = 5*u + 8. Let c = 295 - 2947\/10. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**0*f*f\/(f*f**(-2)*f)*(f\/(f*(f\/(f**(-2\/3)*f))\/f*f))**22 assuming f is positive.\nAnswer: f**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0, -0.4, -4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-53)\/(-212)*(-3)\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 5\/3*s**3 - 1\/2*s**2 + 25 + 0*s. Let j(z) = z**2. What is d(j(x))?\nAnswer: 5*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h + 4. Let r(k) = -k - 1. Let o(z) = g(z) + 2*r(z). Let n(m) = 11*m + 5. Let s = -2 - 7. Determine s*o(u) + 4*n(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -732840900 to the nearest one hundred thousand.\nAnswer: -732800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 3*r**2 - 2*r. Let p(o) = 3*o**3 + 8*o**2 - 7*o. Let s(x) = -8*b(x) + 3*p(x). What is the second derivative of s(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*g + 27 - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -14*j**2 + 10040*j + 279739. Determine o(744).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2737\/(-462) + 6 - (-7)\/77. Let h(y) be the second derivative of -4*y**2 + a*y**3 + 0 + 14*y. Find the first derivative of h(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1272453 divided by -11\nAnswer: -1272453\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (92\/(-46))\/((-3)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 293 - 291. Let s(n) = 6*n - 2. Calculate s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, e: 1, r: 2}. What is prob of picking 1 e and 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + k - 12 - 6 = 0, -6 = -3*q + k. Suppose 15 = q*n + 4*t - 6*t, -4*n + 5*t = -27. Solve -n*o + 0*s + 4*s = -26, 0 = o + 4*s + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*k - 27 = -3*s - 44*k, -s - 2*k = 2. Which is the nearest to 340?  (a) s  (b) 0.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1822*d**2 - 4*d + 131 + 1822*d**2 + 2*d**3.\nAnswer: 2*d**3 - 4*d + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + (-799)\/(-68))\/(510\/(-136)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9290678.\nAnswer: 2, 47, 98837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39360 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-30))\/((-8)\/(-192)*-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 0*q - q)*(3*q + 9 - 9 + (-q + 2*q - 2*q)*(-20 + 27 - 16) + 3*q - 1 + 1).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3d0 - 2?\nAnswer: 3cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -1. Suppose z - 1 = s, 4*s + 4*z = 2*s - 20. Which is the closest to m?  (a) 2  (b) 1\/3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2734, -4728, -6722, -8716, -10710?\nAnswer: -12704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*b + 6*b + 5*o + 120, -60 = -4*b - 5*o. Sort 4, -1, b, 0.4 in ascending order.\nAnswer: -1, 0.4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 59766.9m?\nAnswer: 59766900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.6, -3, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 32*p**2 + 27*p - 120. Let c be s(-31). Solve c*x - m = -17, -6*x + 1 = -3*x + 2*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 + 80 + (9 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 18 = 4*t, 4*t + 0*t + 24 = 4*x. Let p = -4 + 3.8. What is the closest to 1 in p, t, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 8*z**3 - 5*z**2 + 2*z. Let u(r) = r**3 - r**2. Calculate h(a) - 5*u(a).\nAnswer: 3*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 m when three letters picked without replacement from {k: 2, m: 3, j: 12}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 106460651 and 3448?\nAnswer: 106457203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of 1\/60*p**5 + 0*p + p**2 + 1\/24*p**4 + 0*p**3 + 1. Let i(d) be the second derivative of o(d). Factor i(j).\nAnswer: j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 divided by 32.\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 - -0.66. Let p = w - 8.7. Let i = p + 8.036. What is i rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llllllllwlllllllllll?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 5*d + 15. Suppose 0 = d*x - 48 - 6. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290352 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 9:05 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -809738 or -809736?\nAnswer: -809738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 11*y**3 + 6*y**3 - 7*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 194183*s. Let i(v) = 4*v. Give z(i(c)).\nAnswer: 776732*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 2. Suppose p*b + 200 = 5*i - 0*i, 0 = 4*b - 20. What is the tens digit of i\/4 + 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ggnnggnnnnn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38588944*w**2\/7 + 571504*w\/7 + 2116\/7 = 0 for w.\nAnswer: -23\/3106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -756960 divided by -9120?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7338005, -7337999, -7337993, -7337987, -7337981?\n\"Answer: 6*b - 7338011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/165 - (-5 + (-201)\/(-33)). Put -4, a, 5, -123 in descending order.\nAnswer: 5, a, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 3*w**4\/4 - 5*w**3 - 12*w**2 - 14*w. Let i(p) = 0. Calculate p.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 7 + 4 + -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1\/6, 17, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 16*g**2 - 3*g - 22. Let k be z(13). Suppose 3*d - 5*q = k, -12*q + 13*q - 162 = -d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3036, -3, 0 in increasing order.\nAnswer: -3036, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 747876090 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + -0.2. Let a = -41 - -37. What is the closest to s in -2, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77690116 and 7709?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 2, -42, 4 in descending order.\nAnswer: 4, 2, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 610\/9, -7, -1\/2, 105 in descending order.\nAnswer: 105, 610\/9, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of -n + 0 + 1\/10*n**6 + 0*n**2 - 1\/4*n**4 + 3\/20*n**5 - 1\/2*n**3. What is z in i(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (0 + -3 + 0)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -424*a - 6. Let v(z) = 141*z + 2. Let i(h) = 2*t(h) + 7*v(h). Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 - 16*p - 27. Let g = 17 + -31. Let l be k(g). Solve 5*q = -d + 21, 2*d + 3*q + l = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxbotwu. Give prob of picking 1 t, 1 u, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**2 + 47*p - 280. Let f be h(5). Solve 0 = f*c - 2*l - 26, 4*c - 5 - 5 = -2*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n*s**3 - 2*n*s + 188*n + 1806903*s**5 - 2*s - 717 wrt s?\nAnswer: 12*n*s + 36138060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from dddddddrddddddrr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171)*2 - sqrt(171)) + sqrt(171) - sqrt(171))*-3)\/(4*(sqrt(36)\/sqrt(4) + sqrt(9))) + ((-1*sqrt(57))\/sqrt(3) - (sqrt(76)*3 + sqrt(76))**2).\nAnswer: -1216 - 11*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -1. Let t = 0.25 + -4.25. Let f = t + h. Which is the third smallest value?  (a) -0.1  (b) f  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 12*r**2 + 3*r - 1. Let j be k(-2). What is the derivative of -j + 36*l + 18*l + 0*l wrt l?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (78\/(-26))\/(3\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 + 28*w**2 - 92*w + 62. Calculate z(23).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 36*c**3 - 193*c**2 + 197*c + 15. Let s(x) = -100*x**3 + 578*x**2 - 590*x - 42. Let y(j) = -14*d(j) - 5*s(j). Determine m so that y(m) = 0.\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 2. Let h be (4 + 0)\/((-6)\/(-24)*-8). Let i(o) = -4*o**2 - o - 9. Give h*i(z) - 9*v(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 39*f**2. Let y = -482 + 807. Let m = y - 316. What is the remainder when r(1) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(6\/(-44))*(-30)\/(-55). Solve -1733*y - p = -1745*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 42 = 12*w. Suppose 24 = 5*q - 2*q. Let b(i) = 2*i + 18. What is the least common multiple of w and b(q)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*u**3 + 2 - 2 - 430*u**3.\nAnswer: -534*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -28 divided by 1955005\nAnswer: -28\/1955005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/11 or 2?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3 + sqrt(63)).\nAnswer: -6*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3571216 by 44.\nAnswer: -81164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2160)\/(-840) + 3\/7. Solve -d*r + 4*z = -7, 0*z - z + 17 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1385*l**2 - 1677*l**2 + 2765*l**2.\nAnswer: -297*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**3 + 6*y**2 + 4*y - 4. Let h(k) = -k**3 - k**2 + k - 1. Let x(l) = -4*h(l) + s(l). Find the third derivative of x(v) wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2529153559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 426202 - -112354. Let w = 918556 - r. What is w rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 + 21*f**2 - 18*f.\nAnswer: -3*f*(f - 2)*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/41  (b) 4  (c) 5  (d) 1\/3  (e) -1  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -453 (base 8) to base 14\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -u**5\/60 + u**4\/6 + u**3\/6 - 3*u. Let p(v) be the second derivative of o(v). What is the first derivative of p(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 4*k**2 - 16*k + 9. Let u be z(4). Which is the second biggest value?  (a) 5  (b) u  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**5 - 4*z**5 + 2*z**5 + 0*z**4 - z**5 + 0*z**4 + (-4*z**4 + 0*z**4 + 2*z**4)*(z - 2*z + 3*z).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 0*v**2 + 7*v - 1\/6*v**3 + 0. Let u(w) = -1589*w + 11 + 11 + 1587*w. Calculate i(u(g)).\nAnswer: 2*g - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -579, -578, -577, -576?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 6*f - 3. Let i be u(5). Let k(j) = 5*j + 8. Let g be k(-1). Let q(m) = -m**2 + 1 - g*m + m**2 + 2*m**i. Give q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1508, 3074, 4586, 6050, 7472, 8858?\nAnswer: 10214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 73 + 50*p**2 - 3*p + 13*p**2 - 73 + 73*p**2 in the form s*p + w + i*p**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + 2 + 2\/2. Suppose 25 = -5*c, q = -q - 4*c - 92. Let y = q + 37. What is the highest common factor of y and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 29.25595ml?\nAnswer: 0.02925595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 take away -4048221?\nAnswer: 4048227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 228*m**4 - 5*m**3 - 3*m**2 - 98*m - 4018101.\nAnswer: 912*m**3 - 15*m**2 - 6*m - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0  (c) -0.8374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-658)\/21 - -32)*(-15 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 19*r - 12*r - 26, -4*j = 2*r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2 - g + 42. Let k(t) = -t**3 - t**2 - 3*t - 1. Let q be k(-2). Is d(q) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-541226)\/(-84) - (-14)\/(-12).\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s + 135. Let v be l(0). Suppose v = 3*r + t + 4*t, -5*t = -15. Let u be 20\/(2*1\/4). Is r >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of p**6\/240 - 19*p**5\/240 + 37*p**4\/96 - 7*p**3\/12 - p**2 - 8*p - 10. Let k(l) be the second derivative of h(l). Factor k(c).\nAnswer: (c - 7)*(c - 2)*(2*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d + 2*d - 1078 = -4*d + 141*k + 3988, -d = k + 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3 = s, -2*s + 0*s = 3*k + 8. Let q(m) be the first derivative of -2*m**2 + 4*m - 1. Let j(l) = 9*l - 9. Give s*q(v) - 3*j(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 81 + -142. Let u = -36 - r. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1820155 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -213.62 + -1.38. Let x = 215.031 + t. Put -3, x, -0.5 in descending order.\nAnswer: x, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 3*t + 3194 - 3198 = 0, 28 = -5*q - t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2059325*y - 940 = 2059305*y for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 1074 = -3*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 33*f + f**2 - 33*f. Let s(p) = -2*p**2 - 2*p**2 + 2*p**2. What is c(s(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -70\/87 + 4\/29. Which is the fourth smallest value?  (a) 4  (b) 2\/11  (c) 2\/9  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**7\/b)**(-49)\/(b**(-3\/4))**(3\/25) assuming b is positive.\nAnswer: b**(-39191\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - r**2 + r. Let u(m) = -2*m**3 - 3*m**2 + 4*m + 3. What is u(l) - 4*v(l)?\nAnswer: 2*l**3 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15483395 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -235?\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - t - 381 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0)**(2\/105))**44 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 178\/28 + 6*3\/126 and 33\/566?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 - 1.168.\nAnswer: -1.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/19 + 3 - 4331\/2698?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 at least as big as -1.10427977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 242*n**4 + 41580*n**3 - 1453758*n**2 + 15582328*n - 54386136 = 0. Calculate n.\nAnswer: -203, 9, 122\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.9 + 5.7. What is the fourth biggest value in -1\/7, 0, 10, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3176766142.\nAnswer: 2, 11, 19, 7599919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ododddoddddddddd. Give prob of sequence ddo.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 3*p + 12. Let u be -26*(-1)\/(-6)*p. Let m = u - 9. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -29*f**2 + 1 - 11\/3*f**3 - 3*f. What is the derivative of r(v) wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21896)\/(-86020))\/(4\/(-10))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/43  (b) -5  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i - 3*u + 37 = 2*i, -11 = -i - 4*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, g: 9, t: 5, f: 5}. What is prob of sequence tht?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 2*i + 7. Let h be c(-6). Let t = 11 - 14. What is the closest to 0 in t, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:09 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6423 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/6 + -2)\/(1\/(-9)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((35 - 43) + (9 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 51700480 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, v: 14}. What is prob of picking 1 e and 3 v?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 77126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 4*p = -86, 113*i - 224*i + 19 = -109*i + 4*p - 13 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 183974231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2734.985us in seconds?\nAnswer: 0.002734985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 26261*z + 157601. What is t(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 789.9252 days in milliseconds?\nAnswer: 68249537280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2185*r**2 + 103*r**5 + 105*r**5 - 34*r**4 + 675*r**3 - 203*r**5 + 3100*r - 1500 - 44*r**4 - 17*r**4 = 0.\nAnswer: 1, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -442 + 708. Let v = r - 261. Solve o + v - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8991 and 1701?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 3, -5 in decreasing order.\nAnswer: 3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2274 (base 9) to base 14.\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h**3 + 9*h**2 + 9*h - 3. Let g(i) = 2 - 6*i**2 + 3*i**2 + i - 3*i**3 - 9*i - 5*i**2. Let w(y) = -3*g(y) - 2*k(y). Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 AM and 8:57 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91517, 365997, 823467, 1463927, 2287377, 3293817?\nAnswer: 4483247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -h**6\/36 + h**4\/12 - 11*h. Let m(w) be the third derivative of o(w). Is m(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.039, 0.2, -4, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus -9845.5?\nAnswer: 9847.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 0.25.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -7*p**3 + 3. Let a(q) = 6*q**3 - 2. Let b be (-2 - (-64)\/44)*(-198)\/27. Give b*y(k) + 5*a(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 5, -437, 0, 216 in increasing order.\nAnswer: -437, -1, 0, 3, 5, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -24 - (7 - 58) - -30.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a - 20*a - 160 = 0. Let p(r) = r**3 + 4*r**2 + 1. Determine p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2905047?\nAnswer: 3, 322783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -6*k + 1 + 13*k - 3*k - 2*k - 3. What is n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1252805057021 + -0.5?\nAnswer: 1252805057020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 807630991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58462852 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 4607424\nAnswer: 1\/1151856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*l + 7 = 144*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -66500\/143047 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/2, 0.6, -2, -2914\/9 in descending order.\nAnswer: 11\/2, 0.6, -2, -2914\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-234)\/((-78)\/2) + 164\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**(5\/14))*d\/(d*d\/(d\/d**(-36\/5))*d))\/((d\/(d\/d**45))\/(d*d*d**(33\/7))) assuming d is positive.\nAnswer: d**(-2221\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6320.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 520 and 195.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 + 0.2. Let a = r + -0.3996. What is a rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-14))\/(12\/28). Let p = 0 + 0. Which is smaller: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5562, -9\/8, 1\/4, 0.9 in descending order.\nAnswer: 5562, 0.9, 1\/4, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.08 - -0.08. Let o = -10374883 - -10374873.999926. Let d = o - p. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**(-27)))**(-35\/3) assuming j is positive.\nAnswer: j**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 14*p = 15*p - 20, -3*r - 2*p = -15. Suppose -j = -3*y + 4, -5*y + 29 = 5*j + 9. Let q(v) = -v**3 + 17*v - v - 4 - r*v**j - 12*v. Calculate q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.2, -3\/5, 2004 in decreasing order.\nAnswer: 2004, -3\/5, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4 + 15. Let u = s - -10. Calculate the common denominator of 64*((-3)\/9)\/u and -33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 13*w**2 + 7*w + 7. Suppose -1 - 27 = -4*k. Let h(n) = -5 + 11*n**2 - 5*n - 8*n**2 - 12*n**2. Give k*h(t) + 5*r(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) 10  (c) 169  (d) -12\/1103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -925 = 104*t - 289*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, 2\/7, -1\/3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 229  (b) -2  (c) 0.2  (d) -50  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1909031 is divided by 1566.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/44)\/(1422\/4345).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (21 - (-26 + 11))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 70, 138, 206, 274, 342?\n\"Answer: 68*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -122*i - 52. What is the biggest value in i, -4, -2, -22?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.1, 333161 in increasing order.\nAnswer: -3, 0.1, 333161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 19*l**2 + 898*l + 695. Determine c(-49).\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 12:22 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1516, 1507, 1498, 1489, 1480, 1471?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5*s + 2)*(0 - 5 + 0).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0*t + 7 = 0. Let w(l) = -8*l + 28513728 - 28513728. Let u(v) be the third derivative of -7*v**4\/24 - 2*v**2. What is t*u(o) - 6*w(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 382009 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**3 - 1. Let m(n) = -6*n. Let z(y) = 16*y. Let a(o) = 11*m(o) + 4*z(o). What is u(a(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x. Let s(y) = 4*y**2 + 2*y + 1. Let i(d) = -2*p(d) - s(d). What is the derivative of i(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 96 and 1.46.\nAnswer: 140.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of -o**9\/84 + o**5\/20 - 7*o**2. Find the third derivative of c(v) wrt v.\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, -1, 0 in descending order.\nAnswer: 0, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23 and -0.08?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -1169*b + 42 + 1172*b - 15*b**2 - 45 + 39*b**4 + 0*b**3 - 2*b**3 - 35*b**4 as d*b + k + i*b**3 + z*b**2 + y*b**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 11582 + 13248. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 21321?\nAnswer: 21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -31207676\nAnswer: 5\/31207676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4*c + 13 = 0. What is the second derivative of -138*o**2 + c + 100*o**2 - 102*o**2 - 5*o wrt o?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3463*o - 3448. What is g(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65790, -131608, -197426?\nAnswer: -263244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126727 and 126374?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -16*c**6\/3 - 71*c**5\/5 - 2*c**2 - 1270*c + 10510. What is the second derivative of y(j) wrt j?\nAnswer: -640*j**3 - 852*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - k - 37125, 4*k = -68 + 56. List the prime factors of w.\nAnswer: 3, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of k**4\/2 - 7*k**3\/3 + 3*k**2 + 2. Is b(4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/((-4)\/(-4 - 4)). Solve 2*c - t*r + 6 = -r, -r = -4*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1723*q - 579*q - 372*q - 776*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 5*y + 33, 4*q - 1292*y - 24 = -1290*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert b9b41 (base 15) to base 2.\nAnswer: 10001111111111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -363 or -366?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/1)\/(1 + -2). Let u = 6 + q. Let m = -3 + 4. Solve -u*f + 4 = a, -a + 2*f = 3 - m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*y = 4*b - 20, 0 = 2*y - 2*b - 26. Let o = y - 5. Solve 6 = -o*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 23 + 26)*(-16*x**2 - 19*x**2 + 29*x**2 + (3*x - 2*x + x)*(x + 2 - 2)) to the form u + b*x**2 + k*x and give b.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 125, 185?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 16181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2035 and 1258.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 247 divide 115791825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 60 + 59 = 99. What is the remainder when (-8)\/(-10)*845\/2 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/23, 7, 3256\/19, -5\/6, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 7*j**2 + 117*j + 551. Calculate y(-5).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87108362?\nAnswer: 2, 11, 53, 74707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -271*x**7\/210 - 151*x**5\/30 + 39*x**2. Find the third derivative of p(c) wrt c.\nAnswer: -6504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -375 from -0.8.\nAnswer: 374.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12315692 - 23683076363\/1923. Let w = -2\/641 - h. Let i(s) = -2*s**2 + 8*s - 5. Let u be i(5). Which is the second smallest value?  (a) u  (b) w  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22111133221 (base 4) in base 16?\nAnswer: 2957e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:44 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*z - 33*z - 3*p + 54, 0 = -3*p + 18. Calculate the remainder when 182 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-34)\/3)\/((-28)\/(-42)). Let y = o + 12. Let k(g) = g**3 + 4*g**2 - 7*g - 2. Give k(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60.32 + 61. Let i = -0.679997 + x. What is i rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2331 and -2.\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 43 = 43. Let v be 3 - (s + 2 + -1). Solve d + 0*d = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -598 divided by -2\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 512 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.061, -3\/2, 0.4 in descending order.\nAnswer: 0.4, -0.061, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 3019\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 886 + -367. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/5?  (a) 0.1  (b) -3\/4  (c) -1  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1200\/8351 + -1\/1193. Suppose q - 5 = d, 3 = -3*q + 5*d + 8. Suppose -m - 10 = -2*j + m, -3*j + 2*m = -q. Does c = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/(-1*sqrt(5)) - (sqrt(264) + sqrt(264)*1)\/sqrt(11))\/(sqrt(24)\/(sqrt(4)\/(sqrt(10)\/sqrt(5)))) + -1)**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 48. Let k = l + 21.1. Which is the second smallest value?  (a) -4  (b) -0.2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 409.\nAnswer: -3\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*r - 75 - 13 = -24. Solve r*k + p = 24, 17 = k + 7*p - 4*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2149\/(-462) + 5 + 1\/(-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**2 - 16*i - 20. Let d be s(-7). Let p = d + 9. Suppose 8*b = 7*b + p, -l = -b + 9. Put l, 5, 1 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 88255269 to the nearest integer?\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a5 (base 13) to base 2.\nAnswer: -10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29084 and 180224?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -1122?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 9 and -879.484.\nAnswer: -870.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/11*208\/1040.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + n**2 - 8*n - 4. Let y be k(-3). Find the third derivative of 18*t**y - 3*t**3 - 2*t**3 - 2*t**3 + 4*t**3 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 946 and 86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 70. Suppose 2*s = 5*t + 4*s - 21, -3*t = -3*s - j. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-12\/5))\/u**(-1\/29) assuming u is positive.\nAnswer: u**(-198\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 0, 0, 2, 6, 12, 20, 30?\n\"Answer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 23*s + 2312. Calculate the remainder when i(-39) is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + b - 11 = -2*t, 3*t - 13 = 5*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16563*c*h**3*z - 96238*h**3*z wrt c?\nAnswer: 16563*h**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110872000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/2665?\nAnswer: -2\/2665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jbjjjjjjjbjjjbbjjj. Give prob of sequence jbjb.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138556822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 0*r**2 - 15*r**2 + 10*r**2 + 14*r**2 - 2 + r**3 + 10*r. Is q(-7) 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 330283406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-140)\/147*-19*(-36)\/(-1824)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/12263 + -1189523\/73578. Let r be 14\/(-17)*(-3115)\/2. Let m = -1282 + r. Calculate the common denominator of m and y.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, j: 4, v: 3, p: 2, g: 1, m: 2}. What is prob of picking 1 v, 1 m, and 2 p?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(20)\/sqrt(4) + -3))**2.\nAnswer: -96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -2811156447087.\nAnswer: -2811156447083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -7*m + 15. Let r(a) = -3*a + 7. Let u(z) = 4*c(z) - 9*r(z). Let w = 3002 + -2999. Give u(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49936842 divided by 15858\nAnswer: 3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31637748.9999978 - -31637752. Let l = 10317 + -10314. Let x = h - l. Round x to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 241084382.\nAnswer: 2, 7, 11, 97, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 392266543\/3915780 - 142\/88995. Let r be (3501\/(-6))\/(22\/4). Let c = r + h. Find the common denominator of -37\/14 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 7*r - 27. Let g be j(6). Let t(o) = o**3 - 6*o**2 - 7*o + 4. Let l be t(7). Suppose -3*y = c + 12, -g - 20 = l*y - 5*c. Sort 10, 2, y.\nAnswer: y, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 + -17. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q - 2*l - 78, 4*q - 955*l + 1924*l - 51 = 970*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/6*c**2 + c + 5\/6.\nAnswer: (c + 1)*(c + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -24.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 - 4*s + 4*s)*(-94 - 56*s + 94) + 1 - 1 - 2*s**4.\nAnswer: -114*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 162603891\/7 and 23229127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -68*a - 148. What is x(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**6*u)\/u**(1\/18)*u*u*u\/(((u**(-1)\/u)\/u)\/u)*(u\/(u*u*u**17\/u)*u*u)\/u)**(-45) assuming u is positive.\nAnswer: u**(185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (217\/62 - -1)\/(2\/((-2072)\/(-63)))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*a + 44. Let u(i) = -i**3 + 8*i**2 - 3*i - 4. Does 8 divide u(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170 - 499 - x + 164 + 162.\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 12:13 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 9*t**2. Let n(h) = -19*h**2 + 5*h - 16. What is n(z(f))?\nAnswer: -1539*f**4 + 45*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**3 + 336*c**2 - 7140*c + 6808 = 0. What is c?\nAnswer: 1, 37, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1000001011001 (base 2) to base 12\nAnswer: 2509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -84*j. Let p(q) = -5375*q. What is -2*p(x) + 129*w(x)?\nAnswer: -86*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - 30. What is the tens digit of q(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -18.6.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**4\/9 - 5170*o**3\/9 - 186370*o**2\/3 - 543590*o\/9 + 1107868\/9 = 0. What is o?\nAnswer: -103, -2, 1, 2689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 4*u - 3*q - 14, -u - 3*q = -9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-66)*-18 - -1. Which is the nearest to 2\/7?  (a) -1\/2  (b) 1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4 - 2*c - 6*c + 10*c. Let m be t(5). Find the first derivative of -3 - 4*w - m*w + 0*w wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11812*o**3 + 23639*o**3 - 11826*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4036602 divided by 2\nAnswer: -2018301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11293021 or -11293016?\nAnswer: -11293021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 3*x**2 + 280*x + 35588. What is the thousands digit of m(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2868, -5848, -8798, -11718?\n\"Answer: 15*w**2 - 3025*w + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 836 in -0.5, -2\/7, -1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + (-12)\/(-16)*4. Suppose -72 = -0*u - p*u. Suppose 3*r = -2*h + 49, 3*r = -0*h + 3*h - u. What is the remainder when 67 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 60*r + 10 - 17 + 7. Let s(j) = j**2. Calculate s(u(b)).\nAnswer: 3600*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 (base 3) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1438 times 0.038\nAnswer: -54.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 379944 = 20175*s - 4344*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 533 and -1815685.\nAnswer: -1815152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 664559.8 minutes to nanoseconds.\nAnswer: 39873588000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41734044 divided by 4.\nAnswer: -10433511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*d**3 - 51 - 35*d**3 - 29*d**3 + 91*d**3.\nAnswer: -2*d**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r**3 - 3*r**3 + 2*r**3 - r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bbkbgsgkmabk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*n - 26 + 2*n - 144*n**2 + 30 - 9*n - 2 to the form p*n**2 + t*n + k and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/11, 3, -5, 12597?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 19*p**2 - 71*p - 216. Let k(m) = 270*m**2 - 995*m - 3025. Let j(s) = 85*g(s) - 6*k(s). Suppose j(x) = 0. Calculate x.\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1776 and 638768.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34977*z**5 + 3*z**4 - 31*z**2 + 3*z - 619 wrt z?\nAnswer: 2098620*z**2 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.22917, 4, 0.4 in increasing order.\nAnswer: -1.22917, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.793647 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b - 7 - 67 + 116. Let d be g(7). Solve 4*u = 5 + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1892\/55 - 2\/5. Suppose 0 = -4*u + u + 93. Let s = u - 14. Calculate the highest common divisor of t and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lpgnlglngglfnng. Give prob of picking 3 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104 (base 13) to base 14.\nAnswer: c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 209 - 136. Let b = -70 + d. Calculate the common denominator of -109\/20 and (-123)\/66 - (-5 + b).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h**2 + 2*h + 1. Let k(q) = -q**2 - q. Let z(c) = 2*k(c) + y(c). Let m be z(-1). Let 0*v + 0*v**4 + 0 - 2\/3*v**5 + 0*v**m + 2\/3*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.386 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6335.29 - 136.79. Round p to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 5*n + 8. Let h = 30 + -20. Is m(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*v + 350*v - 1018 + 1018.\nAnswer: 386*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0217, 5, 8, 7 in descending order.\nAnswer: 8, 7, 5, 0.0217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -12*w**3 + 40*w**4 - 64*w**5 + 187*w**5 - 65*w**5 - 69*w**5 - 16*w**2 - 16*w**3 = 0.\nAnswer: -4\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132169689.\nAnswer: 3, 14685521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/3, 393, -5, 4\/7, 6, -0.4, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-136)\/(-10) - 3\/(60\/(-8)). Put i, -2, -4 in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2275 = -3*p - 722. Let g = p + 1720. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + b**4 + b**4 - b**4 + 4*b**4 - b**4 + (-4*b + 5*b + b)*(3*b**3 - b**3 + 5*b**3).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 70*a - 3280. Calculate y(47).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 231111100 (base 4) to base 13\nAnswer: 66691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -r**4\/12 - 7*r**3\/3 - 21*r**2\/2 - 157*r - 2. Determine q(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91249 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 3. Let t be h(2). Suppose 5*u = 6*u - t. Solve 0 = -u*v - 5 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-3)*(7 - 624\/84). Let i = 0.4 - 3.8. Let o = -0.4 - i. Which is the second smallest value?  (a) o  (b) -3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -32 + -20 + 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 11522 + 7702. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6008027 is divided by 289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.9 - 0.9. Let w = 7 - s. Let j be 2\/5 - 17\/55. What is the closest to 1\/3 in w, j, -1\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 6, o: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/5*(-5)\/6*(-60)\/(-225)*20\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 6213769400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 - 359\nAnswer: -359.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0020773 to 6 decimal places.\nAnswer: 0.002077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -n - 0, p + 3*n - 21 = 0. Suppose -p*v + 72 = -0*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 113628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/28 and -43\/189.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z**2 + 16297085*z + 65188260 = 0 for z.\nAnswer: -3259413, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.31 in 2.18, 1, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2971312 and 16?\nAnswer: 2971312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46764096, -46764094, -46764092, -46764090, -46764088?\nAnswer: -46764086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2825015 greater than 2825014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/30 and -33\/1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450*k + 40211 = -9289. What is the remainder when k is divided by 2\/(-9) - (-418)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + -37953854?\nAnswer: -37953861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1102, 2204, 3306, 4408?\n\"Answer: 1102*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -20*w - 47. Let f be p(-3). Which is smaller: f or 27\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 26570299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**3 - 2*y**3 + 0*y**3 + (y + 0*y + 2*y)*(2*y**2 + 0*y**2 - 4*y**2)*(4 + 0 + 3).\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28832.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 405 and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -181 - -545. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -22*j - 992. Calculate the remainder when 258 is divided by m(-51).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.05, -0.16, -66, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7, -6, 5, 32, 81?\n\"Answer: s**3 - s**2 - 3*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (63\/(-18))\/(18\/(160704\/(-504))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - -1. Suppose 0 = -12*d + 11*d + 4. Let g be d + 18 - (-2 + 3). Calculate the highest common factor of g and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*p - 3*n = -254, -730 = 3*p - n. Let z be -1 + 9\/((-315)\/p). Let f = z - 40\/7. What is the closest to -3 in -1, f, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-11\/2)\/u**(1\/18) assuming u is positive.\nAnswer: u**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -981049\/24 - -40883. Calculate the common denominator of -47\/975 and l.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -97 or -940719?\nAnswer: -940719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 945 and 199910025.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**3 - 3*v**2 + 3*v**2 + (5*v**2 + 2*v**2 + 0*v**2)*(-2 - v - v + 5*v) to the form p*v + h + n*v**3 + i*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9, -57, -131, -225, -333, -449, -567?\n\"Answer: z**3 - 19*z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 2\/3  (c) -11604  (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k**2 - 10*k + 21. Let w(o) = o**2. Let p(g) = 2*w(g) + x(g). Does 15 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1799296356 to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -17*x**4\/8 - 7*x**3 - 1508*x**2. Suppose -5*s - 12 = -2*s. Let f be g(s). What is the greatest common factor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qcaxexeaelxxce. Give prob of picking 1 q and 1 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.014 + 1.104. What is the second smallest value in -4\/9, 6, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -166957, -166960, -166963, -166966?\n\"Answer: -3*m - 166954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9452, 9437, 9404, 9347, 9260, 9137, 8972, 8759?\n\"Answer: -x**3 - 3*x**2 + x + 9455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2585364*q + 604177 wrt q?\nAnswer: 2585364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 486*r - 58843. What is m(268)?\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2773707.41 rounded to the nearest 1000?\nAnswer: 2774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1219.5148 + -4983870.5148. Let k = -4982685.00013 - h. Let w = k + 34. What is w rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 1:16 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t**2. Let i(j) = -4*j**2. Suppose -y + 17 = 4*z - 2*y, 2*z + 3*y - 5 = 0. Calculate z*i(k) - 3*s(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*o + 104*o = 0. Which is greater: o or 1\/921?\nAnswer: 1\/921","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**2 - 2*g + 2*g + (-2*g + 3*g**2 + 2*g)*(-4 + 3 + 3) + (-8*g**2 - 10*g**2 + 3*g**2)*(3 + 2 - 3) to the form a*g**2 + b*g + j and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -t**5\/16 + 175*t**4\/48 + 805*t**3\/24 - 975*t**2\/8 - 7*t - 101. Factor g(m).\nAnswer: -5*(m - 39)*(m - 1)*(m + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 11. Let g = o - 3. Let n(t) = -t**3 - 52*t**2 - 34*t - 1775. Let f be n(-52). Which is the biggest value?  (a) -2\/11  (b) g  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 50) + (21 - (43 - 41)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 36, 10, -76, -258, -572, -1054, -1740, -2666?\n\"Answer: -6*d**3 + 6*d**2 - 2*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/11, 0.4, 942, 7 in increasing order.\nAnswer: -6\/11, 0.4, 7, 942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -o + 17. Suppose o*w + 6*w - 135 = 0. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g. Let v be u(4). Suppose o = v*o - 819. Suppose -o = 2*i - 5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 + 51. What are the prime factors of s*3\/((-42)\/(-1001))?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -453*s - 16 = -449*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 555473509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1423 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 307218 or 307216?\nAnswer: 307218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((-2 + sqrt(5) + 0)*4 + (-1*sqrt(960) - sqrt(960))\/sqrt(12) + 3))**2.\nAnswer: 1000*sqrt(5) + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-v + v + 3*v)*(1 - 5 + 3)*(-4 + 6 + 0) + 44 - 20653*v - 20579*v + 41998*v in the form m*v + l and give m.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 109233 and 8745.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 207 + 278. What are the prime factors of i?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (1 - 1 - (-8 - (7 + -8))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000010001110110 + -10101001011?\nAnswer: 111111100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3906792 plus -0.0728?\nAnswer: 3906791.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(14\/(-154)) + 5*-6\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-78)\/(-52) - 243\/(-6). Calculate the greatest common factor of 138 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 20 = -4*x, -3*z + 3*x + 54 + 21 = 0. What is the highest common factor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11884.925 rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-5)*t\/t**(-1\/12)*t*t assuming t is positive.\nAnswer: t**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2509 - -17567\/7. Factor 0*o**3 + 4\/7*o**4 - 2\/7*o - d*o**2 + 0 + 2\/7*o**5.\nAnswer: 2*o*(o - 1)*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from hhihi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -658*p*v**4 - 2*p - 116*v wrt v?\nAnswer: -7896*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 15 = 2*g, -4*p + 2 = -4*g - 18. Suppose -p*j - 13 = 2. Let b(z) = z**3 + 3*z**2 - z + 1. What is b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -0.4208985873852.\nAnswer: -0.3208985873852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13522 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(2 + 1 - 2) - 1. Let f(a) = 9*a**3 + 10*a**2 - 11*a + 1. What is the tens digit of f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 22*s**2 - 17*s - 2. Suppose -32*v = -36*v + 76. Is n(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/4811 and -99\/2830.\nAnswer: 48110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + d = 0. Suppose 2*m - 4*n - 44 = 0, -5*m + d*n + 70 = -2*n. Solve 4*b + 0*b + m = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 418 divide 35634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -56. Calculate the remainder when r is divided by (2*13*1)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 - 7*o - 10. Let v(j) = -5*j + 1 + 6 - 19 + 3. Let c(s) = 6*s + 11. Let n(i) = -3*c(i) - 4*v(i). Let m = -9 + 16. Calculate m*n(q) + 2*l(q).\nAnswer: -2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 317310 and 2.\nAnswer: 317310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1630.033 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1726186015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3588*l - 11343*l + 5453*l + 1 as t + i*l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46504 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (140\/30)\/((-7)\/(126\/12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + z**2 + (2*z**2 + 1 - 1)*(-4 + 3 + 3) + 3*z**2 - 2*z**2 - 2*z**2)*(-4 + 1 + 4)*(25 + 45 - 99).\nAnswer: -116*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**3 - 3935*m**2 + 3880875*m - 19306125 = 0.\nAnswer: 5, 1965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 - 39.1. What is the closest to m in -1, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 23. Let d be -1*i*90\/(-21). What is the tens digit of (6\/6)\/(1\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lj when two letters picked without replacement from ggjxlj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k = 361 + 194. Suppose k*h + 508200000 = 23*h. What is h rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/129?  (a) 0.1  (b) 4  (c) -2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -63, -66, -69, -72, -75, -78?\n\"Answer: -3*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*a - 8 = 0, 10*c - 4*a + 25 = 13*c. Solve c = b, 4*j = j + 2*b + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 70*n + 71*n - 26 = 0, 4*u + 5*n = 46 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4\/6*-1*(-1323)\/126\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-41))**(-2\/5))**(-2\/7) assuming k is positive.\nAnswer: k**(-164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddoohdorrohovhvo. Give prob of sequence or.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 - (-3 - 0)) + -86. Let m be (-414)\/t + (-6)\/(-8). Which is smaller: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -6*i - 3. Let r be g(3). Let k(f) = -f**2 - 22*f - 17. Let m be k(r). Suppose 0 = -2*t - m, 0 = j - 3*t - 25 - 3. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -554.7 - -813.18451.\nAnswer: 258.48451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1958675?\nAnswer: 5, 78347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7a + 30797d?\nAnswer: 307a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*z**3 - 5*z**2 + 3*z**2 - 56*z + 61*z in the form j*z**3 + t + o*z + r*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 56*h + 854. Let w be i(-15). Solve 0 = 3*p - 5*r - 15 - w, -3*p + 3*r = -21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -756 + 759 + 72*s**2 - 77*s**2 in the form d + u*s**2 + w*s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/175*(-5593)\/(-102) and ((-957)\/99)\/(((-350)\/12)\/5)?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 166128, 166063, 165998?\n\"Answer: -65*o + 166193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 37054193 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.08  (b) 5  (c) 0.385  (d) -4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 98. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 0*z + 0*z**5 - 19\/3*z**3 + 0*z**2 - 1\/1980*z**6 + 0*z**4 - 7. Let l(r) be the third derivative of f(r). Factor l(t).\nAnswer: -2*t**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 2:17 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-998)\/207 + 26\/585*-5)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/1830 and 103\/800.\nAnswer: 146400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24571\/3 + -8282. Let q = r + 92. Let a = -20 + 20.4. What is the nearest to q in a, 2\/33, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 377 - 169 - 37 - 171 - 2*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - 6. Suppose -g = -u, 0*g + 16 = -2*u - 2*g. Let w be (u - -2)\/(-4)*-6 + 4. Let q(i) = i + 1. Give w*f(y) + 2*q(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 29000.3 to the nearest 100.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 16*x + 14. Let l be v(-3). Let n be (-2)\/11 + l\/(-187). Solve -11 = c - 4*a, -4*c - 5*a - 2 = -n*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**5\/60 + o**4\/24 - 2*o**3\/3 - 27*o**2. Give y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 8021*c**2\/2 + 7846*c + 6571. Find the first derivative of x(w) wrt w.\nAnswer: 8021","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8209\/12 in -2, 0.5, -0.027?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 13*l**2 + 29*l + 14. Let p be c(15). Let b be 70 - (-4 - p - -5). What is the highest common factor of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/200 and -71\/5750?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1795373 * -3.\nAnswer: 5386119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*j - 5*q - 33 = -392*j + 806*j, 5*q + 9 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 650\/(-910)*42\/(-20)*2\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -330, -154, -148, -306, -622, -1090?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2955 or 14778\/5?\nAnswer: 14778\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 7a268a6?\nAnswer: 7a268a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**3 - 40*r**2 + 36*r = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 x when four letters picked without replacement from {x: 5, c: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.1094  (b) -5  (c) -1  (d) 1\/9  (e) -4  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -1795*h. Let p(q) = -19*q**2. Determine s(p(a)).\nAnswer: 34105*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**2 - 2. Let s(z) = z + 5. Let m be s(-3). Let w(y) = -5 + 4 - 1 + 2*y**m. What is -5*n(u) + 6*w(u)?\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (22 + -1)*(-2)\/(-3). Let i(r) = 21*r + 525. Let h be i(-26). Does 2 divide (2 + -23)*c\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 11:18 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bic when three letters picked without replacement from wiwbbck?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 404514419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -13166907 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from wwwhlyiyzhhwwyy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-105)*7 + 0. Let x(r) be the second derivative of 4\/9*r**4 + r + 1\/6*r**5 - m*r**2 + 1\/9*r**3 + 0. Factor x(n).\nAnswer: 2*(n + 1)**2*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -640\/6579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -7 + -2 + 4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 74351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 1. Let u(r) = -3*r**3 - r**2 + 11. Determine 2*u(b) - 22*x(b).\nAnswer: -6*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*q = 12788, 5*x + q + 0*q = -31974. Let o = x + 127867\/20. Calculate the common denominator of o and -15\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 5, 1\/14, -23 in ascending order.\nAnswer: -23, 1\/14, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 17*i + 7 = 12*i, -2*u = 20*i - 6*i + 38 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3568 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.071 + -6.071. Sort 1, 7, -3\/2, y.\nAnswer: y, -3\/2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-24)\/88*209\/(-114))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 22156430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, k: 6}. Give prob of sequence kss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -3032 greater than -3026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*l + 66 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t**2 + 2*t - 1. Let j(l) = -13*l**2 + 3*l - 21. Let z(b) = j(b) - 4*y(b). What is z(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 14) to base 13.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1465\/6 - -244. Which is the closest to 1?  (a) r  (b) -3\/2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4*q - 1 + 2*q**2)*(7 + 33*q - 40*q + 2).\nAnswer: -14*q**3 + 46*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 49 = -3*v. Let u = v + 55. Suppose -5*i = -13 + 8. Sort u, i, 3 in ascending order.\nAnswer: i, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/(56\/(-36)) + 9. Let t(x) = -20*x**3 - 1. Let g be t(-1). What is the derivative of a*l**2 + 0*l**2 + 7 - 4 + g*l**4 wrt l?\nAnswer: 76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, y: 1, h: 1}. What is prob of picking 1 y, 1 b, and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {e: 1, r: 1, n: 4, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*q**5*x**2 - 7*q**3*x**2 - 39*q*x**2 wrt q?\nAnswer: -700*q**3*x**2 - 42*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/86 and 133\/24?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**6*(p*p**3)\/p)\/(((p\/p**(1\/4))\/p)\/(p**(-2)\/p*p)) assuming p is positive.\nAnswer: p**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10781, -21657, -32533, -43409, -54285?\n\"Answer: -10876*g + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11381755 divided by -206941.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.9*148.\nAnswer: -281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.01876  (b) 3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 224*t**3\/3 - 272*t**2\/3 + 94*t\/3 - 10\/3.\nAnswer: 2*(4*t - 1)**2*(7*t - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1254394*b**2*u + b**2 - b*u - 383*b + 688*u wrt b?\nAnswer: 2508788*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 242073084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104182.\nAnswer: 2, 13, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, w: 3, o: 3, q: 1, h: 6}. Give prob of sequence wt.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/10)\/((-2891)\/(-2065)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 37806 or 37888?\nAnswer: 37888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0009 + 0.000897872. What is c rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -168.1 - -16.1. Let k = 15 + m. Let w = k - -136.99999917. Round w to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 + 3)*(-7*m**3 + 4*m**4 - 11*m**3 + 25*m**3 + 1).\nAnswer: 24*m**4 + 42*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2787924 hours to seconds.\nAnswer: 1003.65264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 10, -3*p + 96 = -p + 3*s. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 0*j - 4*j - j**3 + 7*j - 2*j**2 + 1 + 3*j**2. Is w(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k*k**(-2\/11)))*k*k**10*(k**(-3\/2))**(-5\/9))**43 assuming k is positive.\nAnswer: k**(35905\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -4*x**7\/105 - x**4\/24 + 6*x**2. Find the second derivative of t(b) wrt b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-40)*(-10)\/24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 4*t - 2*t)*((-t + 3*t + t)*(-6 + 0 + 4) - t + 2*t + 0*t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 5 - 12 = 3*s, 3*s + 15 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1379, -2758, -4137, -5516?\n\"Answer: -1379*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 483\/966*(-1)\/(9\/4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32095 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*q = k + 158, 214 = 4*q - 3*k. What is the remainder when -3 - (620\/(-2) + (-6 + 4 - 2)) is divided by q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(17) - (0 + sqrt(2057))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2978489.257 rounded to the nearest one thousand?\nAnswer: 2978000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 161291, 645110, 1451477, 2580392, 4031855, 5805866?\nAnswer: 7902425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 3:35 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3 + 1*sqrt(1053) - (2*sqrt(1053) - sqrt(1053))*3 - (-4 + sqrt(637)*-1*2)))**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -11*((-3)\/3 - -4). Let b = 138 + o. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, s: 3, p: 1, e: 1, c: 5}. Give prob of picking 1 e and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2160, -5793, -9426, -13059, -16692, -20325?\nAnswer: -23958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 26*q - 2. Give x(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - s + 3 = 0. Let l be 165\/(-12) - s\/4. Calculate the common denominator of -31\/18 and (-80 - -9)\/(0 - l).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -m**5\/60 - 11*m**2. Let w(o) = -o**2 + o. Let d(z) = -4*z**2 + 2*z. Let x(j) = d(j) - 2*w(j). Give x(l(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*3\/(-6) + (-9 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6293*d**4 - 29*d**2 - 13 wrt d?\nAnswer: -151032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 65063\/(-6) - (-4 + (-50)\/(-12)). Let w = d + 15971. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 15 = -3*w + j, -j = -3. Suppose 0 - 4 = 4*q, 0 = x - 2*q - 46. Suppose 0 = -4*l + x - 4. Calculate the lowest common multiple of l and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*f + 1459923, f - 4*q - 456460 + 91453 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13ab (base 14) to base 13.\nAnswer: 177c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40 and -0.318.\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.2 + 0.1. Let c = -10 + 9.9. Let b = 0.3 + -0.5. What is the third biggest value in b, t, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39*(-21 - (-3108)\/156)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6454 + -6458. Put w, 5, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 3)\/((-33)\/(-6)). Let z be 9 + (-11 + 15)*2\/(-8). Which is the second smallest value?  (a) z  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174*n = -393588 - 2337168. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103661 is divided by 25914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*y = 80*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1331746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*n**2 + 22*n**2 - 17*n**2 - 29*n**2 + 1 as x*n**2 + a + q*n and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + ((-4)\/(-4) + -2 - -3). Suppose d = -4*a + 3*a. Suppose 0 = 2*g - 0*g - 2*l, 5*g + 3*l - 8 = 0. Sort -5, g, a in decreasing order.\nAnswer: g, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70 - 81) + (42 - 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i - 4*i + i to the form r*i + f and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**3 + 3*y**3 - 16*y**2 + 30*y**2 in the form n*y + i + x*y**3 + g*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6227460, 12454912, 18682356, 24909792, 31137220?\n\"Answer: -4*f**2 + 6227464*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 + -1)\/(45\/(-30)). Let a(s) = -23*s - 9. Let r be a(g). Let y = r - 15. What is the least common multiple of y and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -349*h + 372*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 114\/595 - -1\/119. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1254*a**3*n - a**3 + 37*a**2 - 2*a*n**2 - 78 wrt n?\nAnswer: -1254*a**3 - 4*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 525571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24563 and 122815?\nAnswer: 122815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2090 = -60*b - 358*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.16 rounded to one decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8385350549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 6 = 2*c, 13*v - 30*v = -24*v - 2*c + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of i**6\/120 + 41*i**5\/60 + 79*i**4\/24 + 13*i**3\/2 + 859*i**2. Determine t, given that s(t) = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**4 - 12*o**2 - 183 + o + 181 - 18*o**2 - 3*o**4 to x*o**4 + u*o + z*o**3 + n*o**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 - 5*n - 3 + 3*n**2 + n**2 - 6*n**2.\nAnswer: -3*n**2 - 5*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 7:14 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 7 - 3. Suppose -4*g + 8*o - 4*o = -412, -206 = -2*g + j*o. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5260, -4691, -4116, -3523, -2900, -2235, -1516?\n\"Answer: 2*t**3 - 9*t**2 + 582*t - 5835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 - 66*t**2 + 484*t.\nAnswer: 2*t*(t - 22)*(t - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9891\/41 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*q + 16, 5*q = -z - z + 32. Suppose -i - 3750 = -q*i. Let c be -1840*(i + 2 + -2). What is c rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(252) + sqrt(252) - sqrt(77)\/(sqrt(33)\/sqrt(3)) - ((sqrt(7) + sqrt(28)\/sqrt(4))*6 - (5 + sqrt(28)\/sqrt(4))))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*g + g - 3*g as c + i*g and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1155 + -591. Let s = h - 563.99119. Round s to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 - (-18 + (28 - -24) + -19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -182*f**2*p**3*v + 8205*f**2*p**2*v**2 + 5*f*p**3 + f*p**2*v**2 - 406*f*p**2 + 3*p*v**2 + 2 wrt f.\nAnswer: -364*p**3*v + 16410*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -194*h + 96. Let r(g) = g. Calculate u(r(b)).\nAnswer: -194*b + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207790.\nAnswer: 2, 5, 11, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -21*c**2 + 181*c - 349. Determine j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5307?\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 10 + 10 = 0. What is the third derivative of -35*t**5 + 16*t**2 + 14*t**o + 5*t**2 - 10*t**5 wrt t?\nAnswer: -1860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/80*1*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 23*k - 103. Let u(p) = 29*p + 72. Let q be u(-3). Let s be h(q). Solve -3*b = s - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6489 by 1.\nAnswer: 6489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of 4207*o**5\/20 + 2*o**4\/3 + 333*o**2\/2 + 4*o + 123. What is the third derivative of z(n) wrt n?\nAnswer: 25242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(6)\/(sqrt(128) + -2*sqrt(128)) + -2)**2.\nAnswer: sqrt(3)\/2 + 451\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 46 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1387546\/3 - 462510. Determine y so that 104\/9*y - a - 10\/9*y**5 + 76\/9*y**2 - 56\/9*y**4 - 22\/3*y**3 = 0.\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111001 - -1110?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*g + 6*g - 2*g)*(-g + 0*g + 3*g)*(-4 + g + 4)*(4 + 1 - 6) to the form b*g + s*g**2 + i + o*g**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -627670*t**5 + 1477*t**2 + 16 wrt t.\nAnswer: -37660200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/7))**43*(x\/(x*x**(1\/4)))\/(x\/x**(-2)))\/(((x\/(x*x**(2\/11)))\/x**(-1\/10))\/(x**(3\/10)\/x*x*x\/(x*x**(2\/17)))) assuming x is positive.\nAnswer: x**(-399809\/26180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*i**4 - 350*i**3 + 740*i**2 - 610*i + 175.\nAnswer: 5*(i - 5)*(i - 1)**2*(9*i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 102698894 to the power of 1\/2, to the nearest integer?\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.296923 hours to nanoseconds.\nAnswer: 15468922800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27.862 - -27.742. Sort -0.05, -0.5, 6, 3\/5, u in descending order.\nAnswer: 6, 3\/5, -0.05, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 3.5. Let v = -2.77 - -0.27. Let n = f + v. Which is the smallest value?  (a) n  (b) -0.3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*r - 2 + 4*r**2 + 39*r + 2 as g*r + c*r**2 + l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 13) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61416, 61410, 61392, 61356, 61296, 61206, 61080?\nAnswer: 60912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5)*a**(-7\/4)\/a*(a*a*((a*a\/a**(2\/25))\/a)\/a)\/a*a**(1\/5)*a)**(1\/5) assuming a is positive.\nAnswer: a**(-103\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 245 and 19817119.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 182057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -2\/9  (b) 2\/9  (c) 1\/3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-68)\/((-4)\/1) + -4. Suppose 4*f - n - 7 = 0. Suppose 2*q + 3*q - 3*l = 116, 2*l + 94 = 4*q. Solve f*c = -q, -3*y - 2*c = -2*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 3. Let n = d + 11. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/6  (b) -522  (c) -4\/9  (d) -1\/4  (e) -3.777\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-77)\/28)\/(4\/96). Suppose y + u = 4*b, -4*y + 8 = -0*b + 4*b. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121202212212 (base 3) to base 15\nAnswer: 67c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 32 - 40. Is (-11)\/(3 - (-4 - j)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of -47*m**5\/150 + m**4\/120 - 448*m**2. Determine z, given that j(z) = 0.\nAnswer: 0, 1\/94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*l**2 - 35*l**5 - 31*l**2)*(-56 - 38 - 9).\nAnswer: 3605*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + u + 14. Let a be s(0). Is (-1391)\/(-7) - (-4)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1670.881 kilometers?\nAnswer: 167088100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220639 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) -23  (c) 6  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 254239\/4 - 63250. Suppose 3*f = 0, 4*b + f + 1228 = 6*f. Let l = b + z. Calculate the common denominator of l and -89\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 + 7*v - 314. Let b be l(0). Let s = -311 - b. Solve w = s - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 12. Suppose -2*o - 16 = -4*s - 3*o, s + 5*o = 23. What is the first derivative of -j**s - p + 0 - 5*j**3 - 2 wrt j?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 2:14 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -780*h - 50932. Calculate k(-65).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 19 + 1 - 5 + 7*q. Let r be p(-3). Let v be r\/(-8)*(10 + -6). Solve 0 = -v*y - y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -944, -7428, -25304, -60272, -118032, -204284, -324728, -485064?\nAnswer: -690992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 5509?\nAnswer: 8\/5509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/(36\/(-8)) - -336. Let f = 735 - t. Let p = -276 + f. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -56629052*m**2 - 173402937*m wrt m?\nAnswer: -113258104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1*2\/(-3))\/(952\/40647). Let d = 115\/4 + q. Sort d, 2, -3, -9 in decreasing order.\nAnswer: 2, d, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -8*u - 4. Let l be 1\/(u*9\/(-6)). Is 1\/6 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5077 divide 755488062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 8*s**2 - 18*s - 33. Let h be g(-6). Solve 0 = -4*t - 2*a - 12, -3*t = -h*a - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7332*m = -38459 - 15993 - 33532 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5421666.852 rounded to the nearest one thousand?\nAnswer: -5422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/((-3)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -272820*u**3 - 2*u - 4455398 wrt u?\nAnswer: -818460*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8885?\nAnswer: 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/2  (b) -6868  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 83339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22\/5 + 46\/15. Let j = 19\/12 + z. Suppose -2*i - p = 4*p + 4, -i = 5*p + 2. Is j bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 254107064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/14772 and -19\/18?\nAnswer: 44316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10532*n**4 + n**3*o + 2*n**2 - 2*n*o + 6135*n + o wrt n?\nAnswer: -126384*n**2 + 6*n*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 596 is divided by 151.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452443 is divided by 7540.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.05 - -0.05. Let z = -13 + 12.7. What is the third biggest value in 1, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1494*a**4 - 8*a**2 + 256*a**5 + 6*a + 9*a**2 + 1494*a**4 wrt a.\nAnswer: 15360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 4*b + 6, -2*b - 3*b = -2*l + 4. Suppose -145 = -7*y + l*y. Suppose -3*r = 8 - y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -10, -5, -38 in descending order.\nAnswer: -2, -3, -5, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**5\/j**(-2\/5))\/((j\/(j**3*j))\/j*j\/j**(-1)))**(-49) assuming j is positive.\nAnswer: j**(-1813\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*k - 2*k - k)*(836*k - 834*k - 23 - 81) to the form u*k**2 + i*k + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.8 + 0.7. Let f = r - -5.1. What is the smallest value in -3, 0, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 777901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17 is divided by (1\/1)\/(124\/40 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.7 + -3.7. What is the closest to t in 3, -0.5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiffeicifiicccifr. Give prob of sequence ec.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 180\/21 + 0 - 9. What is the second biggest value in -0.2, 1\/5, 1\/37, p?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3620, 3854, 4334, 5066, 6056, 7310?\nAnswer: 8834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - 99*j + 895. Give o(13).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*q - 5*b = -4, 0 = 2*q - 5*b + 6. Let d be (-2)\/(2\/(-2)) + q. Suppose 10 = -d*n + 154. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 933 + -875. Let i(y) = -y**2 - 1. Let h(x) = 5*x**2 + 6. Let v(c) = h(c) + 2*i(c). What is the remainder when r is divided by v(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 14913662 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -286959 - 385079 = -2989*i - 2372*i - 3845*i for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - (0 + 4)) + (-7 - 3) + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6195, 6208, 6233, 6270, 6319?\n\"Answer: 6*t**2 - 5*t + 6194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8 - 2*c + 3*c - 7. Let z(g) = -4*g**2 + 4*g + 4. Suppose 0 = 32*k + 169 - 201. Give k*z(f) - 4*n(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -193 + 192. Let p be (-3)\/((g*2)\/((-12)\/(-9))). Solve -2*b = -b + p*x + 1, 0 = -b + 4*x + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3592\/373 or 11?\nAnswer: 3592\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1905*g - 2147 wrt g.\nAnswer: 1905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60257, -241052, -542409, -964358, -1506929, -2170152?\nAnswer: -2954057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-21)\/36)\/((-42)\/18) + 223929\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8*(85\/25 + -3). Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17043 is divided by 235?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -846568 (base 10) to base 16.\nAnswer: -ceae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3735126 + -3734979.98952. Let k = t + -146. Let g = -0.01 + k. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r\/(r**(-1\/3)*r))))**(-3)*(r**(2\/7)\/r)**(2\/9) assuming r is positive.\nAnswer: r**(-73\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 2*v**2 - 3*v + (-v + 0*v + 2*v)*(2 - 2 + 2*v) - 3*v**2 + 4*v**2 + 0*v**2 - v**2 + 2*v**2 + v**2)*(119 + 267 + 179).\nAnswer: 3955*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 27 - 22 - (1 + -1). Suppose 78 + 499 = 3*w - a*g, 3*g - 3 = 0. Is 31 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -h - 2*f, 0 = 4*h + 4*f - 334 + 46. Suppose -5*k = -3*k + c - h, 2*k - 82 = 5*c. Let y = k + -21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 6*i**2 - 8*i - 7. What are the prime factors of b(-5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**3 - y + y)*(0*y + 2*y + 0*y + 3*y - 3*y - y + (-1 - 5 + 4)*(-14*y - 15 + 15)) to x*y**4 + d*y**3 + s + f*y**2 + g*y and give x.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1512)\/63*(-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 272 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -24153103 (base 6) to base 14\nAnswer: -15b6c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.01 - 0.01. Let g be 15\/9 + 0 - 1. Which is the third biggest value?  (a) w  (b) g  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26647?\nAnswer: 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -38, -31, -16, 7, 38, 77, 124?\n\"Answer: 4*x**2 - 5*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.5 + 0.39. Let q = -0.89 + c. What is the nearest to 5 in 1, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 865 and 8.\nAnswer: 6920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13745928815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 2 - 12. Let i(l) be the third derivative of l**6\/120 - l**5\/12 - 5*l**3\/6 - 15*l**2. Give i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1912 in 3, 6, -2\/15, -2.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 10 - 20)*(-3*c - 4 + 4)*(2*c - 2*c + c**3).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4, 10, 34, 68?\n\"Answer: 5*j**2 - j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 25\/2 + (-178)\/124.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -9*c. Let p(y) = -3242 - 6*y**2 + 3242. Calculate p(t(k)).\nAnswer: -486*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21086 + 21181. What is the remainder when 488 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = y - 3*j, -5*y + 3*y + 26 = -j. Put -0.9, y, -1\/3, 1\/3 in ascending order.\nAnswer: -0.9, -1\/3, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 79, 21449 in descending order.\nAnswer: 21449, 79, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25719 + 77156\/3. What is the fourth smallest value in -11\/3, 2\/9, -4, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 229*l + 2064. Calculate b(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 0*h + 4*i + 15 = 0, -7 = h + 2*i. Let g be 12\/2 + h + -1. Suppose 0 = -2*j + 4*j - g. Solve -q - j = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-321)\/12 + (-8847)\/3932?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {l: 1, t: 3, f: 1, i: 7, j: 1, g: 7}.\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-24)\/(-6)*1\/3. Let x be -4 + 5 + 19 + 0. Suppose -3*j - x = -l - 4*l, 2*j - 4*l + 16 = 0. Is j equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -242132502*d**3 + 341102951*d wrt d?\nAnswer: -1452795012*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -145 + -6811?\nAnswer: -7056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -19583430 rounded to the nearest 100000?\nAnswer: -19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 155372130 rounded to the nearest one million?\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - p - p + 3*p**2 - 1. Let y be j(2). Let t = y + -8. Solve -2*x + 4 = 2*g, t*g = -5*x + 4*g + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**3 - 4*z**2 - 2*z - 4. Let a(c) = -c**3 - c**2 - 1. Let k be (-95)\/(-10) + (-1)\/(-2). Let q be (20\/25)\/(-2)*k. Give q*a(b) + i(b).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*a + 12. Let g be 24 - 0\/(1 - -2). Calculate the highest common factor of a and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.12 - 7. Let b = -0.0726 + 0.1186. Let z = b - 1.046. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 4*m**2 - 401*m + 16. What is the lowest common multiple of p(-18) and 22?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33288384 divided by -48.\nAnswer: -693508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18576 + 1?\nAnswer: -18575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 - 8*b**3 + 6*b**2 + 20*b - 16.\nAnswer: -2*(b - 1)**2*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*l + 87*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 38\/8 - 12\/(-48). Suppose -o*u - 132 = -9*u. Which is greater: u or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -1. Suppose 9*a + 5*p + 45 = 4*a, u*a + 15 = p. Let r = -4 - a. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, x: 9, j: 4, l: 1}. Give prob of sequence xkjx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -4*a + 44. Let o(j) = 8*j - 88. Let y(f) = -5*c(f) - 2*o(f). Let z be y(16). Solve z = 5*u - 5*w, 2*u + 1 = -5*w + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**4\/4 - h**3\/6 + 3*h**2 + 15*h - 1. Let d(y) be the third derivative of y**3\/6 - 114*y**2. What is 4*d(g) - u(g)?\nAnswer: -3*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2, -6, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 370431 + 6.\nAnswer: 370437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30986093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 37 - 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2 - 9) + 7)\/(1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 5*q - 11. What are the prime factors of z(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49854.\nAnswer: 2, 3, 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*z + 0*z + 4*z)*(0 - 1 + 0) + (1 - 2 - 1)*(6*z - 4*z + 8*z) as i + a*z and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 3*m - 4*m - 1, -2 = -2*m + 2*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1033*i**2 - 168*i**2 + 4*i**3 + 534*i**2 - 29*i**3.\nAnswer: -25*i**3 + 1399*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 356 and 445?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 32.48  (b) -0.2  (c) -0.4  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*(x\/((x*x\/(x\/(x**21\/x)))\/x))\/x)\/x)\/x**(2\/33))\/(x**38\/((x*(x\/(x\/(x**25*x)*x*x))\/x)\/x)) assuming x is positive.\nAnswer: x**(-1124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 + 27. Put z, -2, 4 in descending order.\nAnswer: 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 1:57 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -105*k. Let v(m) = -15*m. Let a(g) = 2*l(g) - 15*v(g). Let y(t) = -854532 + 854532 - t. What is y(a(r))?\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632522.\nAnswer: 2, 11, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 5*z - 141 - 36, -2*m - 42 = -z. Suppose 11*h - 6*h + 28 = l, 3*l - z = 3*h. What is the smallest common multiple of (22\/6)\/((-2)\/(-6)) and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 12591?\nAnswer: 12587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1809 - 1807. Let k be 0\/(-2 - (-6)\/2). Suppose 0 = -t + 5. Put t, k, n in decreasing order.\nAnswer: t, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/7)*p)\/p**(-5))**(1\/43)*(p*p**(-6)\/p)\/p**1*p**4\/p*p**(-1\/2) assuming p is positive.\nAnswer: p**(-2621\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 210 is divided by 99?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6982, 6985, 6986, 6985, 6982, 6977?\n\"Answer: -b**2 + 6*b + 6977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 27 = a, 85 = 3*u - 0*u - 5*a. What is the remainder when 43 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w, -18*k + 19*k + w = 69. Let a(y) = y**2 + 20*y - 147. What is the remainder when k is divided by a(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, e: 12, d: 1}. Give prob of picking 2 e.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 6*w**2 - 5*w - 75. Let g(n) = -9*n**2 + 8*n + 113. Give -5*g(a) - 8*y(a).\nAnswer: -3*a**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 - 9*x**2 + 7*x - 11. Let o be p(4). Solve -o = -0*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 224397, -7 in descending order.\nAnswer: 224397, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h. Let z(o) = 8*o**2 + 1524*o. What is a(z(k))?\nAnswer: 8*k**2 + 1524*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5655 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -12*q + 23. Let x(k) = -3*k + 1398 + 1395 + 0*k - 2793. What is x(w(m))?\nAnswer: 36*m - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-five quarters of a microgram in nanograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - 9*c - 4. Let o be x(-6). Suppose -b - 2*b = -33. Let y = o - b. Solve 0*z - y*z + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1*2\/(-12))\/((-70)\/399) and (-266)\/(-276) + -1*1?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 136.8872 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 289197646 take away 786?\nAnswer: 289196860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4383*c**2 - 8994*c**2 - 168*c**3 + 4611*c**2.\nAnswer: -168*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/(-30)*(-6)\/(-8). Let j = -11 - -15. Put x, j, -0.3 in descending order.\nAnswer: j, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*f = 18, 0 = q - 2*f - 43. Find the common denominator of q and -42\/317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (1 + 1 - 1). Suppose z - 2*b = -6, 0*b + s*b = 9. Suppose m + 2*m - 27 = z. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1647*i + 7943*i - 6294*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5*(sqrt(132) + (2*sqrt(132) - sqrt(132))) + sqrt(132))*6)\/(((-1*sqrt(432) - sqrt(12)) + sqrt(12) + (sqrt(192)*-2 - sqrt(12)))*5).\nAnswer: -44*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o = 53 - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1063\/42 + 169\/6. What is the common denominator of 414\/(-8)*(-4)\/(-30) and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 11, 44, 99, 176, 275, 396, 539?\n\"Answer: 11*a**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 213\/(-142) - ((-50193)\/(-6))\/(-3) and 3.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -44*h**3 + h. Let z = -2 + 1. Let w = 18001 + -17999. Calculate the least common multiple of s(z) and w.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {g: 2, x: 2, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 306614, 613401, 920188, 1226975, 1533762, 1840549?\nAnswer: 2147336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 6*u**2 + 26*u + 50. Let q be h(-2). Let l(c) = c**3 - 22*c**2 - c + 30. Give l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*b + 0 + 0 - 9*b**2 + 26*b.\nAnswer: -9*b**2 + 79*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -514 and -513 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 83196882, 83196883, 83196884?\n\"Answer: l + 83196881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z - 4*z + z + (-2 + 2 + 2)*(z + 3 - 3) + (-4*z + z + 2*z)*(0 - 2 + 0) + (5 - 2 - 2)*(-5*z + 124 - 124).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 850 and 5600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = h - 2*r + 9, 3*r + 3 = 0. Let y be (-35*8\/(-80))\/((-4)\/(-24) - 0). Let l = y + h. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + ((-46)\/15 - 12\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158*r - 51*r - 10 + 9.\nAnswer: 107*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31304 and 5148.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 103975 = -3*l, -150*n = 4*l - 153*n - 138675. Is 65 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9956183 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 19941*v + 59772. Calculate w(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 6:20 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vsv when three letters picked without replacement from dvhhhhhvdhskkikhhvvv?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -92538616 and -29.\nAnswer: -92538645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - g**2 - 2*g + 2. Let o(t) = 8*t**3 - 2*t**2 - 4*t - 15. Determine o(a) - 2*w(a).\nAnswer: 6*a**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -566422504 - -0.0047.\nAnswer: -566422503.9953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1038 a factor of 107827916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 46\/(-1104) + 940\/(-480). Let f = -0.1 - -0.12. Sort f, q, -1, -4.\nAnswer: -4, q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.71 minus -0.1991?\nAnswer: 0.9091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(162) + (sqrt(162) + sqrt(162) + (sqrt(162) + 0)*3)**2).\nAnswer: 45*sqrt(2) + 20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 58?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-58 + -44 + 108 - (-1 + 77)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-1 + -4 + 0 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m + 7 + 9 + 4*m - 8.\nAnswer: 3*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 8, 1 in increasing order.\nAnswer: -5, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**0)**(-2\/117)*((b*b**14*b*b*b)\/b)\/b**(-6\/11))**(-6\/7))**(2\/19) assuming b is positive.\nAnswer: b**(-2316\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 5, -1, -2, -9, 42 in increasing order.\nAnswer: -14, -9, -2, -1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 59 = -4*k + 31, 5*k + 23 = -3*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1459721606 minus -1.1?\nAnswer: -1459721604.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -527 + 527. Which is the second smallest value?  (a) m  (b) -7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = 4*h + 17. Let y = h + 30. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33577037 or -33577040?\nAnswer: -33577040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h + 8. Let a be ((16\/36)\/((-8)\/132))\/((-1)\/(-3)). Determine q(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - l + 2 = -6*z, -3*l = -5*z - 6. Suppose -3*b - 2*u - 2 = z, -5*u - 28 = -b - 6. What is the units digit of (1 - 2\/(-4))*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**4*k - 904*i**3*k**3 - i*k**3 - 11*i*k - 5*k wrt i?\nAnswer: -24*i**2*k - 5424*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 5. Let j(g) = 8*g**2 - g + 1. Let v be j(a). Let q be 2\/8 - 2\/v. Solve q = z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3786749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1435 - -251?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**2\/5 + 1420492*z\/5 - 504449380516\/5 = 0.\nAnswer: 710246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**13\/(a\/a**(-1\/2))*(a**(-9\/2)*a*a)\/a*a**(3\/2)\/a assuming a is positive.\nAnswer: a**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.2  (b) -1053  (c) -4  (d) -64  (e) 1  (f) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180923401?\nAnswer: 17, 727, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3 - 58 = 0. Let t = a - -11. Suppose 3*c - 1065 = -t*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 0)*((-53*z**4 - 37670*z + 37670*z)*(-4 + 5 + 0) + (2*z**4 + z**3 - z**3)*(0 + 3 - 5)*(2 - 8 + 1)).\nAnswer: 66*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*v - 60 = 33*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 7:38 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-10 - 2\/2)*(12 + -13) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 4*v**4 - 8*v**3 - 4*v**2 + 8*v = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -248434 - -191?\nAnswer: -248253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**3\/6 + 5*g**2\/2 + 2*g + 168. Suppose 3*n - 2*n + k - 7 = 0, 5*n + 4*k = 37. Give p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m + 46. Let d(t) be the third derivative of 5*t**4\/12 - 3*t**3\/2 - 17*t**2. Let f be d(2). Let o be x(f). Solve 3*r - 11 + o = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/91192 and 139\/6?\nAnswer: 273576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 81 - 77 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49978?\nAnswer: 2, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1, 2, 3, 4?\n\"Answer: a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2949 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 3, 1, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -76\/1057?\nAnswer: -76\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2266)\/(-966) + -3 + ((-4)\/9 - (-5520)\/4968)?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 165533 + -165533. Suppose -l - 3*w + 2 = 0, -4*w + 0*w - 16 = 0. Put x, -1, l in ascending order.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101103353 (base 6) in base 16?\nAnswer: -1a78b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 39009630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -105, -1.\nAnswer: -105, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 4) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214292 = -56*p + 216141 + 1089199. List the prime factors of p.\nAnswer: 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114625*o + 229268*o + 4 + 1 - 1 - 4 - 114642*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 1231 divide 41399761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, d: 8, u: 1, w: 2}. Give prob of picking 1 w, 1 u, and 1 d.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -j**5\/30 + 17*j**3\/2 - 100*j. Let h(g) be the second derivative of a(g). Let w(x) = -14*x**2. Calculate h(w(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 18*r - 32 = 0, 447 - 455 = -5*w + 6*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*p**2*t**2 + 816*p**2*t + 81*p*t**2 - 16*p*t - 8*t wrt p.\nAnswer: -54*t**2 + 1632*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8064198 divided by 298674.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a730 + 9?\nAnswer: a739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5, -10, -51, -130, -259, -450, -715, -1066?\n\"Answer: -2*o**3 - o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfbdf. Give prob of picking 2 f and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -13*h + 42. Suppose -h*x + 26 = 4*t - 58, -4*x - 4*t = -108. What is the highest common divisor of 312 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + y - 460121 = 273871, -4*c + 733984 = -y. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 879*w**3 - 16*w - 9?\nAnswer: 5274*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-183)\/(-7) - (-5)\/(-35). Let w = -32 + b. Put 2, 4, w in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*sqrt(1458) + -2 + 2)**2*6*5.\nAnswer: 174960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4007716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-836)\/(-55) - 13 - (-12)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 54\/(-21) + 2 - -1. Suppose 0 = 3*w, b + 3*w + w = 0. Let q = -6 - -5.6. Sort q, b, x in ascending order.\nAnswer: q, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 16*l + 5678 = -15*l, -5*l = -x + 1409. What is the remainder when x is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 + (-14 - -1) + 4 - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 155430051, 310860101, 466290151?\n\"Answer: 155430050*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**5 - 3*y**5 + 3*y**5)*(0 + 1 + 0) + 0*y**5 + 3*y**5 - 4*y**5 - 4*y**5 - 3*y**3 + 3*y**3 + y**5 + y**5 + 1 - 2.\nAnswer: -5*y**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 164516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4079\/5 - -816. What is the closest to -2\/5 in l, -2, -29\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 - 766 = 11*x. What is the remainder when ((-5)\/2)\/(x\/1152) is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aavtaaatasaxvvaagxt. What is prob of picking 3 v and 1 t?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 30 - 504 = 3*p, -536 = 3*p + 2*h. What is the common denominator of ((-1309)\/85 - -13)*15\/(-66) and -2 - 321\/p*-2?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-9 - 7893\/(-252) - (6 + 90\/(-14))).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/200 and 139\/240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, 0.5, 3\/2, -3\/7, 2\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 36 in -5, -1.76, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-42)*(56\/12)\/(-2))\/(8\/3792).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3384202mg in tonnes?\nAnswer: 0.0000000003384202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*-2)\/sqrt(9) + -1 + (0 + sqrt(396))**2 + 0.\nAnswer: -2*sqrt(11) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 2*u + 0*u)*(0 + 3 - 2) + 706*u + 484*u - 33*u + 215*u.\nAnswer: 1374*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72.62 - -85. Let i = -0.28 + n. Round i to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 40961 or 40950?\nAnswer: 40961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 603115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nc when two letters picked without replacement from cggng?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -799 + 799. Suppose 4*a = i - 0*i + 32, r = 4*i. Let f(z) = -30*z - 3. Calculate the remainder when f(-4) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -11  (b) -0.1  (c) 6  (d) 2\/9  (e) -0.4  (f) -2.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, 2\/5, -0.08, 0, 16, 1\/8 in decreasing order.\nAnswer: 16, 6, 2\/5, 1\/8, 0, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**3\/3 + 65. Let f(w) = -2 + 3*w**2 - 4*w + 3*w + 2*w. Let x(z) = f(z) + 4*t(z). Determine x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/1981 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13543*b - 3*b**2 + 5*b**2 + 2*b**4 + 13541*b - 49 + 16*b**3 to w*b**4 + s*b + y*b**2 + p*b**3 + m and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1961, -7852, -17675, -31430, -49117, -70736, -96287?\nAnswer: -125770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + o - 3. Let f be s(-3). Suppose 0 = 6*i - f*i. Differentiate -2 + i + 6 - m**2 with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -17*j**2 + j + 4. Let y be v(-2). Let m = -329\/5 - y. Let u = -0.24 - -0.23. What is the nearest to -2 in u, -3\/5, m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -122614*y**2 + 1212. Let l(n) = 812*n**2 - 8. Give -303*l(u) - 2*s(u).\nAnswer: -808*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 10877*k**6\/6 - 11591*k**2\/2 + 9205. Find the second derivative of s(r) wrt r.\nAnswer: 217540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -46 + 127. Let a(p) = -p**3 + 7*p**2 + 6*p - 14. What is the remainder when l is divided by a(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -90*c - 114. Let l be q(-2). Solve 6*b + l = 28*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*3\/(-13)*42471\/(-130680).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4.72516 greater than 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -15*a**2 - a + 226. Determine l(-5).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5592127 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 5*q + 19, -2*j + 3*j - 4*q - 1 = 0. Let s(h) = 33*h - 6. Is s(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 101324 or 101261?\nAnswer: 101261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 997241 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 v(y) = -y**2 - 13*y - 19. Does 17 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 864 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) 1\/11  (c) 0.2  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 17. Suppose -3 - 7 = -x*l. Solve 0 = l*c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (8 + -5)\/(2*(-2)\/(-792))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25208613 divided by -9?\nAnswer: -2800957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 618 and 42.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 + 9*j - 6. Is v(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26482993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 257 - 120 = -a, r - 749 = -2*a. Is 62 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -65 in 3, -2\/7, -0.657, 1?\nAnswer: -0.657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 18 = -7. Let t = -9 + q. Let k(g) = -g + 22. What is the remainder when k(-8) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q - 7. Let z be y(-13). Let v be 3*((-7)\/3 - z\/5). What is the second derivative of 4*l - v*l**5 + 0*l**3 + 0*l**3 - 10*l wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + (-9)\/3)*-1. Let b be 1\/(u\/(-8 - 0)). Let i be b\/(-7) - 22\/(-21). Which is bigger: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-28)\/6)\/(24\/(-9)))\/(8\/(-96))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -13 - 5. Let b(i) = 7*i - 4. Let m be b(p). Suppose -m = -6*x + 67. Calculate the remainder when 39 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*t - 0*d - 3*d, -54*t = -57*t - d - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.18 + -0.08. Let d = n + -0.122. Round d to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -263979*q**2 - 3*q - 7958 wrt q.\nAnswer: -527958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 551\/2 - 275. Factor 1\/2*l**4 + 0*l - 1\/2*l**2 - o*l**5 + 1\/2*l**3 + 0.\nAnswer: -l**2*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1296456 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g + 2. Give n(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - c**2 + c + 4. Let r be y(0). Suppose i = -r*i - 265. Calculate the common denominator of -9\/14 and (-4)\/(-6) - i\/42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -6*t**3 - 9*t. Let l(a) = -4*a**3 - 6*a. Give -7*l(n) + 5*w(n).\nAnswer: -2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 - -28. Solve s - 3 + t = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (1 - 1 - 6) - (18 - (20 - 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4516, -5109, -5702?\nAnswer: -6295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 9*l**2 - l. Let i be 4\/14 + (-5)\/(-7). Let m be p(i). Suppose -3*y - 1 = -6*v + 2*v, -3*v + 4*y = m. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/2 - 9\/(-3). Solve 4*x - 6*x = 4, -2 = 3*q - p*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.2  (b) 0  (c) -92265  (d) 0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 324 and 4149660.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - w - 248 = 0. Suppose -5*t = 11*t - 27*t + 143. Calculate the remainder when w is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11799879*i**2 - 18041807 wrt i?\nAnswer: -23599758*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.296 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 12:45 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 531*t - 533*t - 26 = 0. Let w = 28 - 11. Let r = w + t. Solve u - 23 = -4*s, -u - 32 = -r*s - 5*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 0*j - 2. Let q(h) = -20*h. Let a be q(1). What are the prime factors of 1*a*j\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from mkxxzmzazaqx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 47*u**2 - 45*u + 263. Let j(f) = -17*f**2 + 15*f - 89. Let a(p) = 4*d(p) + 11*j(p). Give a(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 297821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**6\/120 - 7*j**5\/30 + 17*j**4\/24 - j**3\/2 - 9*j**2. Let d be k(12). Let u = 125 + d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**3\/3 + 16*d**2 + 60*d = 0.\nAnswer: -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**3 - l + 1. Let y be m(1). Suppose y*o - 8 = -0*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 382 = f + f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**3\/3 - 3*d**2\/2 - 7*d + 43. Let x be t(-2). Let h = 5.8 + -0.8. What is the third smallest value in x, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 1:07 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 44.0177661 + 4.3826909. Let f = -0.587 - -48.987. Let c = f - d. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 145*o**2. Let y(t) = -t**2. Determine y(j(u)).\nAnswer: -21025*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 10:25 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257146 divided by -11?\nAnswer: -114286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -2*h**8\/105 + 17*h**4\/24 - 29*h**3\/6 - 30*h**2. Let k(t) be the first derivative of j(t). Differentiate k(y) wrt y.\nAnswer: -128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 44 = -l - 5*c, -3*l = 2*c - 44. Let w be ((-4)\/l)\/(1\/(-6)). Suppose -5*m - 47 - 1 = -w*p, 48 = 4*p + 2*m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227, -243, -277, -335, -423, -547?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + 48. Let m = -54 + o. Solve -5*t = 2 + m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -246839*b + 205952.\nAnswer: -246839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 10  (b) 3  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41 - -117. Let u = s + -21. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**6\/15 - 11*w**5\/10 - 26*w**4 + 528*w**3 + 1728*w**2 + 2*w - 705. Determine b so that k(b) = 0.\nAnswer: -12, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 1\/3*c**3 + 0*c + 9\/2*c**2 + 7. Let w be d(-10). What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/(-7) + (-228)\/266. Which is the nearest to -4?  (a) -0.4  (b) 3  (c) v  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 28*b - 251. Let p be 41 + 1*(8 - 16). Does 77 divide u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + 5*f**4\/12 - f**3\/2 + 2*f**2 + 2*f. Give w(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56647.\nAnswer: 37, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 2*i - 3. Let l be j(3). Solve l = 4*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 352 = 5*k - k, -j + 5*k + 88 = 0. Suppose 4*m = -j + 16. Calculate the remainder when 41 is divided by ((-6)\/m)\/(1\/33).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 803 - 802.72989. Let j = -0.27 + l. Round j to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62.162 - 0.438. Let b = 58.6 + c. Sort -1\/3, b, 78.\nAnswer: b, -1\/3, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 37*d - 67. What is the tens digit of c(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -57*w**3 - 4*w**2 + 32*w + 108. Is v(-3) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 824 and 76117?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**5 + 7*i**4 - 89256*i**3 - i**2 + i - 194539?\nAnswer: -60*i**2 + 168*i - 535536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 732 divide 200856512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -178 - -120.1. Let c = q - -46. What is c rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**4 + 1742868*j**3 - 379700351042*j**2 + 759395473488*j - 379696865312 = 0.\nAnswer: 1, 435716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -28. Let c = i - 16. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 15) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10634*m**3 + 36*m**2 + 19*m + 92.\nAnswer: -63804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from zzzuziauapkizzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 36\/10 - 2\/(-5). Suppose j*p - 15 = -p. What is the derivative of -p + 4*u + 3 - 3 wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 346 - -77. Solve -388 = -7*y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -77712, -77068, -76430, -75798, -75172, -74552?\n\"Answer: -3*p**2 + 653*p - 78362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.8 - 0.5. Let d = 0.05 + -0.05. Let l = 5.8 + -6. Which is the closest to d?  (a) l  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 0 - 1 - (-12 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15685 - 8959. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3209 and -0.3.\nAnswer: -962.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3\/124 + -1675\/2604. Find the common denominator of 64\/35 and u.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.903463g to micrograms.\nAnswer: 903463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 20 = -13. Suppose q*v = 10*v + 3. Solve -v*x - 7 = -4*r - 20, -5*r + 4 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 39 = -5*p. Suppose -4*m + 37 - p = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(3\/9)\/((-6)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -81732*c - 326941. Determine q(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -228*c - 19280 = -224*c. Round c to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -3*u - 206. Give k(-55).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/3039 and -10\/21.\nAnswer: 21273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5 = -20. Let o(h) be the third derivative of 0*h**4 - 1\/6*h**3 + 1\/60*h**p + h**2 + 0*h + 0. Differentiate o(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 10) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2. Suppose f = -f - 500 + 500. Let j(c) be the second derivative of 0*c**3 + f - 14*c + 0*c**2 - 1\/12*c**4. Calculate j(q(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20164434.\nAnswer: 2, 3, 19, 79, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 851076?\nAnswer: 2, 3, 47, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 23249, 92970, 209169, 371852, 581025, 836694?\n\"Answer: f**3 + 23233*f**2 + 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 7 = 3*r, -2 = 5*a + r - 3. Let d be ((-3)\/3)\/a - -2. Let t be d\/(33\/(-15) + 2). What is the nearest to 0.1 in t, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, r: 3, o: 7, h: 2}. Give prob of sequence ryoo.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -4*m**3\/3 - m**2\/2 + m + 14. Determine g(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 3 + (15 - 0) + -93 + 103\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -370 (base 10) to base 7\nAnswer: -1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, i: 2, t: 4, l: 4, z: 1, v: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/8)\/(1\/(-12)). Let d be 2 - (8 + -2)\/b. Solve 5*q + d = -10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -66516, -66031, -65606, -65271, -65056, -64991, -65106?\n\"Answer: -5*x**3 + 520*x - 67031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -47  (c) 4\/13  (d) 4\/3  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 4. Suppose j = -4*p - 5*q + 92, 0 = -3*p - 2*q + 56 + 6. What is the remainder when 55 is divided by 1*(p + 3 + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-16 + -10)\/(3\/((-12)\/8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(6\/5)\/n)\/(n**(5\/7)\/n))**(-1\/67)*n\/n**(-5)*n\/n**(2\/23)*(n*n**(-2)*n)**(2\/9) assuming n is positive.\nAnswer: n**(372464\/53935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.05  (b) -2  (c) -3  (d) 1423\/7  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-7) + 1)*(1 + 1). Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 0*i - 37. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2*1*sqrt(19) - sqrt(19)) + 0.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3499839?\nAnswer: 3, 7, 73, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**3 + 320*y**2 - 6068*y - 13448.\nAnswer: -4*(y - 41)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of -2 + 32*k + 4\/3*k**3 + 33*k**2 + 1\/6*k**4. Differentiate b(c) wrt c.\nAnswer: 4*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020547 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of k**6\/120 + k**5\/60 + k**3\/3 + 7*k**2. What is r(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/5)\/(1\/3). Let c = m + 3. Solve c = -4*r - 0 + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*p + 9*p**2 + 45*p + 20*p**2 - 1)*(8 - 8 - 4*p).\nAnswer: -116*p**3 - 12*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*u**2 + 236*u + 4480 = 0 for u.\nAnswer: -5, 224\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -14\/109 and -43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3323*a**5 - 507*a**2?\nAnswer: -199380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0, 2, 1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9820 and 21.\nAnswer: -206220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + h - 35 = 0. Let u be 93\/h - 6\/21. Suppose 5*y = 3*b + 80, -b - 28 = -y + 2*b. Calculate the highest common factor of y and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 1. Let g = -39 - -40. Let k be d(g). Which is greater: 1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -471, 1, 1502.\nAnswer: -471, -4, 1, 1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, j: 2}. Give prob of sequence tjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 8*b**2 + 6*b. Let y be t(4). Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*f - 287 = 31 - 21 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -478914109 + -259.\nAnswer: -478914368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1728 and 17546136?\nAnswer: 1263321792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 4*i - 12, 22 = 3*i + 7. Let y(n) = n**2 - 8*n + 11. Let u be 1 + -2 + 3 + 5. Let m be y(u). What is the greatest common factor of m and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 13 - 109. Let k = -14 - l. What is the lowest common multiple of ((-6)\/5)\/(9\/(-210)) - 4 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -91 + 133. Suppose -2*o + z = 5*f, -5*o + 2*f = 25 - 101. What is the remainder when 45 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1705*q**3 - 77*q**2 - 2*q.\nAnswer: -10230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0800309 and -29.\nAnswer: -2.3208961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(114) - -1*sqrt(114)) + sqrt(114))*2)\/(sqrt(384)*2 + sqrt(384)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 87662, 152967, 218272, 283577, 348882, 414187?\n\"Answer: 65305*j + 22357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**3 + 11*a**2 - 18*a + 14. Let d be m(-7). What is the nearest to -3 in -50, -4, d, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -1\/2*d**2 + 0 - 1\/12*d**4 - 2*d + 1\/20*d**5 - 1\/6*d**3. What is the units digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r + 32. Let i(u) = -7*u - 11. Let k be i(-3). Let l be f(k). Let b(h) = -41*h + 15. Does 49 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 5*a**2 + 2*a. Let r be m(5). Put r, -5, -0.3, 1 in decreasing order.\nAnswer: r, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 67 = l + 23, -h = -4*l + 236. Let a = -63 + l. Is 5\/((2\/318)\/((-1)\/a)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c (base 13) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 17705 = -4*t, 0 = 5*t - 2 - 13. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-3\/10)*t*t**9*((t**(-1\/5)*t)\/t)**(-10\/3))\/(t\/t**(-2\/15)*t*t**2)**25 assuming t is positive.\nAnswer: t**(-2729\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13796139 minus 58?\nAnswer: 13796081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 4*p + 7*p + 5, 9 = -t + p. What is the remainder when 291 is divided by 9\/2 + t - 485\/(-10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8471.156 litres in millilitres?\nAnswer: 8471156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/8)*d*(d\/(d*d**(-3\/4)))\/d*d)**(26\/9)\/(d**5\/(d*d*d**(-6))*(d\/d**1)**(2\/21)) assuming d is positive.\nAnswer: d**(-155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*g + 4. Let p = 79119\/14930 - -1\/1493. Find the common denominator of 1\/g - (-203)\/12 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from ppwww.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 280 - 279.9622. Let y = s - 22.3378. Round y to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((4004\/110)\/(-26))\/(3\/(-15))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*p**4 - 4*p**4 + 2*p**4)*(16 + 45 - 42 + 207) to k*p**2 + y*p**4 + r + j*p + d*p**3 and give y.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.03081 * -0.7\nAnswer: -0.021567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*b + 1 + 0*b + 11*b + 0*b + 0*b + 2*b + b + b + 5*b + (3*b - 5*b + b)*(-1 + 0 + 3) + 0*b + 3*b - 5*b + 2*b - 5*b + 2*b as x + m*b and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 432, 967, 11 in descending order.\nAnswer: 967, 432, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4 = 4*j + 4, n + 17 = -4*j. Let w(l) = -l + 1. Let s be w(n). Let o(g) = -9*g - 3. What is the units digit of o(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) -0.168  (c) 0.2  (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 20 = 4*j, 5*j - 7216 = -3*w. What is the greatest common divisor of 132 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 2\/33  (c) -1  (d) -3  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/4, -2\/9, 81?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*u**3 - 123*u**3 + 4*u + 38*u**3 - 7*u + 43*u**3.\nAnswer: -3*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14296708 is divided by 2278.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2)*((-3)\/(-15))\/((-12)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35 + -8. Let l = 400 + -350. Let f = r + l. Which is the third smallest value?  (a) 1  (b) f  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*b - 3*b - 3*b + 2 + (2*b - 2*b + b)*(9 + 17 + 15 + (2 - 4 + 4)*(-3 + 5 + 0) - 4 + 4 - 3) to the form c*b + j and give c.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does -395 = -1973\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -8716140 to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*m + 13*m**3 + 17*m - 21*m)*(m - 2*m + 0*m) in the form o*m + s*m**2 + q + t*m**4 + g*m**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 + 13*r + 27. Let h be (1 - 4 - -4) + (-24)\/2. Let l be i(h). Solve 0 = l*s - 4 - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**4\/g)**(-5\/19)*(g**(2\/7)*g)**(-27\/7) assuming g is positive.\nAnswer: g**(-5352\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 4. Suppose -2*q - q + z = -12, 4*q + x*z - 3 = 0. Solve b + 2 = s, 4*s + 2*b + 19 = -q*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6 - 4756324.277.\nAnswer: -4756324.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.07, 6, -1, -0.0728, 3\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 540237448 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47382988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -i**7\/7560 + i**6\/720 - i**5\/180 + i**4\/12 - 7*i**2. Let f(u) be the second derivative of r(u). Factor f(w).\nAnswer: -(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -4 + 18*i - 5 + 2*i - 8*i - 11*i. Determine h(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 4:24 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 - 25. Let y = g - 35. What are the prime factors of y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -5. Which is the nearest to 0?  (a) 0.3  (b) f  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -11*h**2. Let o be s(-2). Let a = o + 482\/11. Let v be 0*(2\/4 - 0). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2729, 7113, 13155, 20855, 30213, 41229, 53903?\n\"Answer: 829*g**2 + 1897*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + (-210)\/66 + (-26)\/(-22). Calculate the remainder when 44 is divided by b\/((-2)\/(-10)) + 18.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0616408*3\nAnswer: -0.1849224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*p - 229 - 367 = 364 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y**5 + 204*y**4 + 30*y**3 + 251*y - 40?\nAnswer: 20*y**3 + 2448*y**2 + 180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 4, 0 in decreasing order.\nAnswer: 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 2406584 - 2406629 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 624723.3 rounded to the nearest one hundred?\nAnswer: 624700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 95\/20 - 21\/28. Solve 5*j - 2*p - p = 28, -o*j = 3*p - 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Let v(j) = 93*j**2 - 2*j + 1. Let k be v(1). Suppose f*s = -s + k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*l - 165, 78 = -5*l + 93. Sort -3, d, 0 in descending order.\nAnswer: d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4499 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-156)*636 - (-1)\/(2\/(-26)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 11345, -7 in descending order.\nAnswer: 11345, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 14448.47683.\nAnswer: -14448.07683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 7*b**2 - 6*b + 3. Let g be 48\/21 - (-8)\/(-28). Suppose -v + 5*z + 21 = 0, -6*v - 5*z = -g*v - 9. Determine x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuj when three letters picked without replacement from {j: 3, e: 1, u: 3, q: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 166541, 166532, 166511, 166472, 166409, 166316?\n\"Answer: -d**3 - 2*d + 166544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -283, -268, -265, -268, -271?\n\"Answer: c**3 - 12*c**2 + 44*c - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 149, 351, 623, 959, 1353, 1799?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1 + 4 = -2*z, 3*k = -3. Is -1\/132 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4630*t - 156 = -4624*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2542 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29*-106817.\nAnswer: -3097693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 763223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1876 and 42812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 - 56*s**2 - 56*s - 56. Let o be h(29). Let y(l) = -6*l**2 + l + 1. Determine y(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/(-21))\/((-4)\/6). Let b = -48 + 44. What is the closest to 2 in 1\/6, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -2. Suppose 2*y - 28 = -u*y. Let x(d) = -43*d + 41. What is the remainder when x(0) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 + 141 = -0*c + 10*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 4)\/(1*2\/4). Let t be 4*(-1)\/f - (-1 + 1). Suppose -t*n + 17 = -n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ug when two letters picked without replacement from dooognnurdgndnuu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -9*m**3 + m**2 - m - 1. Let d be p(-1). Solve 3*a + 0*a + 10 = -2*v, -4*v - a = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 4 = 0, -4*l - q + 9 = 4*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-27) - (-33)\/(-27). Let w(l) be the second derivative of -3*l**5\/20 - l**4\/6 - l**3\/3 - l**2\/2 - 2*l. Give w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 2*w**2 + 2*w)*(-2750 - 760 + 373)*(0 + w + 0).\nAnswer: -6274*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(2\/5))\/z**(3\/8)*(z**(-1\/5)\/z)\/((z**(-2\/3)\/z)\/z*z) assuming z is positive.\nAnswer: z**(203\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 65 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of 2*g**7\/7 + 3*g**4\/4 - 2*g. What is the third derivative of s(w) wrt w?\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2. Let l(b) = 1 + 2*b - 4 + 1. Let k(v) = -v**2 + 5*v - 5. Let a = -8 - -3. Let o(d) = a*l(d) + 2*k(d). Determine z(o(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16268.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.3254866 rounded to one decimal place?\nAnswer: -58.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.227 - 0.207. Which is the third smallest value?  (a) 2  (b) o  (c) 4  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*i + 8 - 8)*(-54*i + 1377 - 1377)*(2*i - i + 2*i) to the form g*i + z + d*i**2 + y*i**3 and give y.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 35*u - 36 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2 + (-1*(sqrt(539) + -2 + sqrt(539)))**2 - (1 + sqrt(132)\/(sqrt(24)\/sqrt(2)*6)))*-5.\nAnswer: -32355 + 1685*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 695.0461 decades in years?\nAnswer: 6950.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (5 - 17) + 9 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 114345 divided by 945\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d**2 + 7. Let p(b) = -2*b**2 + 4. Let w(y) = 4*a(y) - 7*p(y). Let l(o) = -73*o. Give l(w(r)).\nAnswer: -146*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19164 divided by -3194.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -8.19. Let v = 0.69 - y. What is the closest to 3 in 5, 3\/2, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 351 and 213732.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -116437*n + 116453*n - 57168. Calculate the greatest common factor of n and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7320)\/(-9150))\/(26\/169*7\/(-5))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*k = -2, 3 + 38 = -5*v - 2*k. Let d be (-30)\/(-15)*v\/2. Let x(r) = r**3 + 6*r**2 - 13*r + 3. List the prime factors of x(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zmiz when four letters picked without replacement from mzmmzimimzmmi.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -c, 2*w - 42*c - 67 = -43*c. Suppose 8*s - 3*s + 170 = 0. Let g = w + s. Solve -4*p + 4 - 16 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -147335 by 2.\nAnswer: -147335\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 368003725*v**5 + 108581505*v wrt v?\nAnswer: 7360074500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 105*v**4 - 4233*v**3 + 4233*v**3 + (27*v**3 - 32*v**3 + 21*v**3)*(v + v - 5*v) to the form s*v**3 + y + a*v + x*v**4 + g*v**2 and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + v**2 - 2*v + 2. Let j be f(0). Let k(i) = -22*i + 13. Let a(o) = -3*o + 3. Let x(p) = -5*a(p) + k(p). Determine x(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2*u + 1)*(1 - 6 - 12)*(-2*u - u + 2*u) as y*u + o + d*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 6*o - 15 - 12 + 440*o**2 + 33. What are the prime factors of j(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/8  (b) 0.2  (c) 2\/17  (d) -54\/17  (e) -1  (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 147 = -3*c, 8*o + 59 = 3*c + 7*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 113508814 and 1661.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 189 and 6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 4:39 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p - 8. Suppose -5 = -p*g + 23. Solve 2*l = -h - g, 0 = 3*l + h - 3*h - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 4)*(3 - 3 + 2*q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 - 3)*(4*o - 3*o + 0*o) + 9 - 1854774*o + 1854765*o + 10 to c + z*o and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 71 = -f. Let p = 116 - f. What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3153784 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**2\/2 + 31094*x + 45634368 = 0. Calculate x.\nAnswer: -60684, -1504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, p: 1, o: 1, r: 1, u: 3}. What is prob of sequence xruo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 2*m + 2*j, 0 = 41*m - 42*m - 4*j - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 590328771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/2 + 7)\/(2\/4). Suppose b = 9*z - 25. Solve 0 = -z*t - 21 + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-6)\/(-9)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2062.51587857 - 0.5.\nAnswer: 2062.01587857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1809 times 30?\nAnswer: 54270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 4*t + 82. Let s be k(-7). What is the nearest to 0.6 in -5, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, -3, -1, 9, 5, -17, 4 in ascending order.\nAnswer: -59, -17, -3, -1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o = -23*o - 10. Let n(m) = -3*m + 80 + o*m - 3*m - 79. Let w be 3*((-1)\/(-3) + 1). Calculate n(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5\/6)\/((z\/z**1)\/z)*(z**0*z)**(-1\/9)*((z**(-1\/3))**48)**(-9\/10) assuming z is positive.\nAnswer: z**(1301\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14677\/22 + 667. Let q = 105\/121 - 10385\/2904. Calculate the common denominator of q and i.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253647001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 394246389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10956, 21926, 32896, 43866, 54836?\nAnswer: 65806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -24, 30 in descending order.\nAnswer: 30, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 195 and 45?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -214, -1226, -3832, -8830, -17018, -29194, -46156?\n\"Answer: -133*l**3 + l**2 - 84*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -989*o - 67906 + 7577 = 0 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/15*(-8)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/62204 and 11\/31102?\nAnswer: 62204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 442*k - 427 - 443*k + 0*k**2 - 18*k**2 - 8*k**2.\nAnswer: -26*k**2 - k - 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3547845069 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02086871 to five decimal places.\nAnswer: 0.02087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -121.61 + 123. Let p = g + -1.59. Put 4\/5, 0.5, p in increasing order.\nAnswer: p, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 291999146*k**2*w**4 - 80*k**2*w**2 - 9*k**2*w + 16375*k**2 - 4*w**2 wrt w.\nAnswer: 7007979504*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37.9 + 38. What is the second smallest value in l, 2\/17, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1960 = -192*d + 172*d. Calculate the greatest common factor of 287 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**3 + 4*z**3 + 11*z + z in the form b + i*z**3 + a*z + o*z**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by -18*(-8)\/36*6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4420?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*a - 2*a**2 - 16*a - 462 - 117*a.\nAnswer: -2*a**2 - a - 462","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -17, -11, -5, 1, 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g**2 - 2*g**2 - 3*g**2 + (0 - 2 + 3)*(-2345 - 280*g**2 + 2345).\nAnswer: -282*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-20)\/6)\/((-604)\/(-906)). Sort 12, v, -31 in ascending order.\nAnswer: -31, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 81, 0, 1, 5, -2 in decreasing order.\nAnswer: 81, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*y + 15, 0 = 5*z - 4*y + 1485 - 1505 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-5 - -2) + 3. Let c(j) = -4*j**3 + 2*j**2 + 2*j + 1. What is the units digit of c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121283 is divided by 1064?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*q = -4967 - 2306 - 6975. Is q at least as big as 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*p - 3132 = 0, 5*v - 14*p - 3908 = -15*p. Is 46 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 3*k + 10. Let c(z) = 4*z + 11. Let w(p) = 3*c(p) - 4*j(p). What is the remainder when w(5) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190601 divided by -5?\nAnswer: -190601\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)\/n*n)\/n**(2\/9)*n\/n**0*n**(-3\/7) assuming n is positive.\nAnswer: n**(-356\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-34 - -8) + (21 + (-17 - -12) - 34)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/((-15)\/315*14).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence icc when three letters picked without replacement from iciiciiii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 345 divided by -115\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -11*s**4\/24 + 16*s**3\/3 + 5*s**2. Let f = -28 - -24. What is the tens digit of g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3150469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c - 1. Let y be d(-2). Let n be (-1)\/(-2)*(-4 - -6). Let k = 4 + n. Sort 2, y, k.\nAnswer: 2, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/16, -0.99, -5, 0?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 706 and 478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.2, -0.02, -0.06, 5, 0.111, 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2. Let a(w) = -10835*w - 24. Let i(j) = -238365*j - 540. Let t(r) = 45*a(r) - 2*i(r). What is t(q(d))?\nAnswer: 21690*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = n - 4*p, -2*n + 2*p - 748 = -7*n. Suppose -2*r + 4*o = n, 273 = -5*r + 2*o - 129. Let l = -36 - r. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6734, 7776, 8818, 9860, 10902?\n\"Answer: 1042*a + 5692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Factor -11*h**2\/9 - 703*h + 31910\/9.\nAnswer: -(h - 5)*(11*h + 6382)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5 + (-5*sqrt(242)*-1)**2 + ((sqrt(14)\/(2*sqrt(7) + sqrt(7)))**2 - (sqrt(32)*5 + sqrt(2))) + -5.\nAnswer: -21*sqrt(2) + 54470\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*s = -100. Let z = -25 - s. Let o be 4 - (0 + -1 - z). Solve -4*c + 20 = -o*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 1:54 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 6*b = -68*b - 86 + 5561 for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-5) + (-3)\/15. Let m = 39121792\/315 - 124196. Let l = 2\/35 + m. Are l and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3209 - 5?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67*u + 5*u**2 + 23*u**2 - u**2 + 10*u**2 wrt u.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pwtwppwwpwwpwp.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -31577 divided by -5\nAnswer: 31577\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1037, 2151, 3265, 4379, 5493?\nAnswer: 6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.2 + -0.2. Suppose 4*n + 0*n = -3*o + 60, -n = 4*o - 15. Let d = n - 15. Which is the nearest to d?  (a) 3  (b) w  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -2, 2, 0, 3, -6 in descending order.\nAnswer: 5, 3, 2, 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.316403 millilitres to litres.\nAnswer: 0.006316403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 + 62. Suppose -7*w + 7 - n = 0. Is w greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j - 19. What is r(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1977286 is divided by 1083.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24886398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.6 - -21.4. Let w = 248270 + -248246.99056. Let v = w - x. What is v rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from txdhrbdbrdhrbrh.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88283?\nAnswer: 13, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7955*r + 7960*r - 40. Solve 3*u + 13 = 3*k - r, -3*u - 2*k = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5959 is divided by 80?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-16)\/(-3)*6\/4. Let b(y) = y**3 - 8*y**2 + 10*y - 2. Let p be b(i). Suppose 2*n = p - 14. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 216596298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 4\/47, 1\/2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - -3923533?\nAnswer: 3923513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -235 and -3.4.\nAnswer: -238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 462766 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -263, -1873, -6229, -14705, -28675, -49513?\n\"Answer: -229*g**3 + g**2 - 10*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*k**3 + 2 - 23*k**3 - 5*k**3 + 214*k**2 + 150*k**5 + 28*k**3 - k**4 wrt k.\nAnswer: 9000*k**2 - 24*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 4*g + 4*g + (2 - 2 - g)*(-3 + 1 + 0) + 0*g + g + g + g + 0*g + g)*(19 + 31 + 13).\nAnswer: 441*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**4\/6 + 99*x**3 - 7394*x**2\/3 + 4532*x = 0. Calculate x.\nAnswer: -618, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80394 + -24735.\nAnswer: 55659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13028680 and 1064.\nAnswer: 13028680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + f**2 - f - 1010. Let u = -14 + 21. Suppose -u*s = -4*s. Let o be k(s). Round o to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15188 is divided by 217.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**3 - 11*r**2 + 10*r - 9. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -a**2\/2 - 28*a - 1. Suppose -y + 284 = -11*s, -717 = -s + 3*y - 769. Determine c(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x - 143 + 123 - x.\nAnswer: x - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(17\/3)\/(h\/(h\/(h\/(h\/h**(-26)))))*((((h**(-1\/13)*h)\/h)\/h)\/h)\/h**27)**35 assuming h is positive.\nAnswer: h**(3535\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(24) - (sqrt(1176)*-1 + sqrt(24)))\/sqrt(12).\nAnswer: 5 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaasaaaaaasaaaaaaasa.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p - p + 0*p)*(-4*p + 105 - 105)*(-1 + 3 - 1) to the form y*p + c + r*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2511, 2, -1, 5 in decreasing order.\nAnswer: 5, 2, 0, -1, -2511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146455?\nAnswer: 5, 17, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 - -95. What is the greatest common divisor of k and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -171911 and -28.\nAnswer: 4813508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48907\/12 + -4078. Calculate the common denominator of ((-1)\/10)\/(16\/110) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 24 = -c, -4*c + 69 = 2*m + 3. Suppose c = 4*u - u. Suppose 2 = 2*b - b. Solve -b*d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1727 - -2908. Suppose 4*w + 2*r + 209 = m, 4*r - 1218 = -5*w. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 304366 by -330.\nAnswer: -152183\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllljzzlffflllfllfl. Give prob of sequence llz.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0\/(0 + 2))\/(-1). Suppose -4*r + 141 = 5*w, n*w - 34 = -w + 5*r. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -10*k + 5. Let n(i) = -17*i + 35. Let x(q) = -3*q + 7. Let y(s) = n(s) - 5*x(s). Give y(u(o)).\nAnswer: 20*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1480769 + -14794339\/10. Let p = -1338 + t. Calculate the common denominator of p and -8\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 11) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 19 - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 218694168271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 70573 divided by 1?\nAnswer: 70573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*b + 2562 = -200*b + 61*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 372256715 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 a when four letters picked without replacement from {l: 18, a: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.02, -0.088, -728, 4, 42, 0.1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15*-10.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 76904255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -289*i - 167*i + 2448*i**2 - 2446*i**2.\nAnswer: 2*i**2 - 456*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 2974?\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (11\/(-55))\/(-2*1\/(-22))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of ((-27710)\/102)\/(0 - (-20)\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 20*s**2 - 4*s - 50. What is the lowest common multiple of 10 and i(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/5)\/(q*q**(-1\/3))*(q\/(q**(1\/2)\/q*q))\/q**(-2\/13))**28)**(-1\/36) assuming q is positive.\nAnswer: q**(-1057\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*n = 395 + 251 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56886208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5319 - -5372. Calculate the remainder when 444 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3, -10, -29, -66, -127, -218, -345, -514?\n\"Answer: -c**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.34 - -0.64. Let r = 0 + -0.5. What is the smallest value in -0.3, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - -25. Let a = c + -13. What is the second biggest value in 1\/11, a, 5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8880 (base 12) to base 14.\nAnswer: -56c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -2*h**3\/3 + 9. Let p(k) = -6*k**2 + 2. Give n(p(v)).\nAnswer: -72*v**4 + 48*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 125, -14, 22 in decreasing order.\nAnswer: 125, 22, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 246972 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from qipiivimivrmq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 5:26 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -11*i + 4. Let p be o(-7). Suppose 8*v = p - 81. Solve -2*x - 7 = -3*z - 0*z, 3*x - z = v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -813 - -810. Let r be (-65)\/(-39) + (-1)\/q. Solve r - 4 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -86498*-125\nAnswer: 10812250","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0.2. Let u be 9 + 9139\/(-1110) + 7\/(-6). Which is the closest to -3?  (a) u  (b) -2\/7  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -423 + 429. What is the third derivative of 44*d**6 + 41*d**6 + 21*d**6 + 217*d**2 - 17*d**p wrt d?\nAnswer: 10680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2087*u**3 - 2410?\nAnswer: -6261*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 671927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 295211 or 295135?\nAnswer: 295135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -5*d - 20. Let l be k(-17). Let o = 220 - l. Let f = o - 132. Calculate the highest common factor of f and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -278, -275, -272, -269, -266?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3922  (b) -0.5  (c) -270  (d) -1\/7  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + sqrt(192)*-1 + sqrt(192) + sqrt(192))\/sqrt(8))\/sqrt(8) - (sqrt(1188)*1 - sqrt(1188))\/sqrt(11).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 21  (c) -470  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g = 3871 + 12679. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4218)\/(-285) - (-2)\/10. Does 25 divide (4 + -7)\/(s\/(-250)) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-14) - 66\/(-14). Suppose -p*y + 760 = 3*y. What is the remainder when y is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/7800 and 7\/468.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c*c*c**(5\/2))\/c))\/c**(-1\/8))**(2\/73))**7 assuming c is positive.\nAnswer: c**(-133\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2664 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4 - 0. Solve -h + 0*h = -n*w + 17, w - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442146731?\nAnswer: 13, 29, 1172803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -54898\/7 and -7844 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 1, i: 1, s: 3, v: 3, u: 2, h: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p - 1. Let a(m) = -139*m**2 + 16*m - 15. Give a(i) - 4*j(i).\nAnswer: -139*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 4*r + 20, -5*k + r - 5 = -0*k. Let h = 4 + k. Let n(i) = -32*i + 1006. Calculate the remainder when n(31) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 8:32 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of l**4\/6 - l**3\/3 - 4*l. Let f be a(2). Find the second derivative of -3*j - 3*j - f*j**2 + 2*j wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, p: 3}. What is prob of picking 2 l and 1 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -g**2\/2 + 46*g - 19. What is the remainder when r(-11) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7449112 and 4136?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -778*j - 3629. Calculate the remainder when q(-8) is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2869283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 11:34 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 20*w - 5. Let d(o) = -18 + 8 + 21*o + 6 + 9. Let b(h) = -3*d(h) - 4*q(h). Let v(y) = -y**2 + 4*y + 1. Determine 2*b(f) - 9*v(f).\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24626626 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + -1*sqrt(567) + 5 + -3 + (-1 + (sqrt(567) - (sqrt(567) - 3*sqrt(567))) - (-3 + -2*sqrt(567))))**2.\nAnswer: 216*sqrt(7) + 27219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*v + 269*v - 854 = 86*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 17 = 39. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9287 take away -10.568305?\nAnswer: -9276.431695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*u + 3. Suppose -u*k - k = -12. Suppose 46 = 2*i - 2*j, -5*i - j = -k*j - 112. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 430050 (base 6) to base 2.\nAnswer: 1000100011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/9 - (-158)\/18. What is the third derivative of 2 - 5*t**2 - 2 + i*t**2 + 7*t**3 wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 12, 3*x = b + 7 + 2. Suppose b*p = p + 8. Suppose 2*w - 440 = -p*i, -i - 3*w - 2*w + 110 = 0. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 2*q + 1037, 1029 = -4*l - l - 4*q. Let g be (-1)\/(-5) - l\/55. Let y(f) = -2*f**2 + 6*f. Give y(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -154.97 - -3.97. Let u = s - -164. Let d = 2.1 - 2. Which is bigger: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20344 and 150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1361 (base 8) to base 5.\nAnswer: -11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 10, 3*q - 4*r - 64 + 53 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/3)*(c*c**(-2\/15))\/c)\/(((c\/c**(-10))\/c)\/(c*(c**9\/c)\/c)))**(-15) assuming c is positive.\nAnswer: c**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 + 9 + (2 - 2). Suppose 0 = -3*m - z*s - 268, -2*m + 6*m = -4*s - 352. What is the lowest common multiple of (-36)\/(-45) + m\/(-10) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1780411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*b + 34*c - 29*c, 2*b - c + 14 = 0. Sort -3, b, -7, 6.\nAnswer: -7, b, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 595865 and -0.1.\nAnswer: 595864.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 428 = -4*y, -5*s - 3*y = -2*s - 651. Calculate the greatest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 861472090*o**2 - 704225803*o.\nAnswer: 1722944180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z**3 - 21*z**2 - 75*z - 10. Let i be s(-6). Which is the smallest value?  (a) 2\/3  (b) -2\/9  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, c: 4, j: 1, y: 1, x: 1}. What is prob of sequence yx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 divided by -1756789.\nAnswer: -68\/1756789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15851928 by 4.\nAnswer: 3962982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2 - 10 = -b, 30 = 5*x - 3*b. Let f = 3 - x. Is 14 a factor of 16 + f\/(-6)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -93 - -109 - (8 - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4477981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 16 = -0*v. Let m be 8\/28 + (-82)\/(-7). Suppose m = -5*r + 32. Solve -v*c = -0 - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 50 + -60 + (19 - -2) - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -4*t + 40, 5*n - 32 = -t + 5*t. Calculate the greatest common factor of 80 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in sixty-four fifths of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g. Let l(w) = w**2 + 13*w - 728. Give b(l(q)).\nAnswer: 2*q**2 + 26*q - 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 5*u + 6 = -84, -19 = -y + 2*u. Suppose 5*z - 9 = 6. Find the second derivative of 163*m**3 - y*m - 22*m**5 - 163*m**z wrt m.\nAnswer: -440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 366670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -9. Suppose 6 = u*s - 3. Suppose -s*q + q + 92 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*g + 432*g - 90 = 212*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 140552 divided by -3?\nAnswer: -140552\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/7*1\/(-18)*15.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 826 = -8*g + 3538. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41526557 and 3643?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-705464)\/(-7824) + 2\/(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.8 + -23.1. Let x = -15 - k. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**2*o*o)\/o*o\/o**(20\/9))\/(o**21)**(-23) assuming o is positive.\nAnswer: o**(4363\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 - 26. Is m at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*b + 1359 = 2134 + 2465. Calculate the greatest common factor of b and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 - 1. Suppose -3*g = 5*i - 26, 5*g + i + 4*i = 30. Let h be 96\/52 + g\/13. Suppose -5 = -z - h. Calculate x(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 4\/2260631 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -160079, -160080, -160081, -160082, -160083?\n\"Answer: -q - 160078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247224 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1552811969.\nAnswer: 4567, 340007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 217980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 7403246651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1812304524 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, m: 1, j: 1, n: 1, r: 1}. What is prob of picking 1 s, 1 m, and 1 n?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w. Let n(a) = -7*a + 10. Let l(d) = 11*d - 16. Let r(k) = -5*l(k) - 8*n(k). Give -3*g(h) + 7*r(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 834 - 306 = 0. Let s be 2 + 7 + (-668)\/p. Find g such that -2\/19*g**3 - 4\/19 + s*g**2 + 2\/19*g = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -24*o - 235. Let t be z(-10). Let l(p) be the second derivative of -t*p + 1\/3*p**3 + 0 + 0*p**2. Let n(g) = 4*g. Determine n(l(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 51264*b.\nAnswer: -4*b*(b + 12816)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 6  (b) -2  (c) -13\/2  (d) 5  (e) -60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide (-54373)\/(-22) + 3\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-12 - -5) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.140777 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 34089222 a multiple of 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 109247 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 190 = 2*s. Suppose 2*z - 3*w = 22, -25*z - 48 = -28*z - 3*w. What is the lowest common multiple of z and s?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 17. Suppose v = -3*v - 4. Let h be (28\/49)\/(2\/7). What is the biggest value in j, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/6)\/((-30)\/(-75)))\/((-9)\/2*1).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 10*v**2 - 10*v - 8. Let m be b(11). Let r(w) = -w**2 + 3 + m*w - 6 - 13*w. What is the tens digit of r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (-10 + (16 - 7) - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 - 26. What is the derivative of -2*z**3 - 2*z**3 + 2*z**x - 5 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 g, and 1 u when four letters picked without replacement from {j: 1, b: 4, r: 1, u: 3, g: 4}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1005120 and 230340.\nAnswer: 11056320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3695\/7 + 528. Let r be (2\/(-28))\/(6\/24). Which is the third smallest value?  (a) x  (b) r  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -42  (b) 11  (c) -0.11  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 206\/13*n - 20\/13 + 42\/13*n**2.\nAnswer: 2*(n + 5)*(21*n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3612 - -3612.01382. Round d to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -189*y**4 + 2607*y - 1965932.\nAnswer: -756*y**3 + 2607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1135534095 and 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -268, -530, -780, -1012, -1220, -1398, -1540, -1640?\n\"Answer: t**3 - 269*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 432 is divided by 147?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5144664 rounded to the nearest ten thousand?\nAnswer: -5140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(31\/((-279)\/(-18))*-137).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**4 - 8*x**3 + 332*x**2 + 336*x - 7056.\nAnswer: -4*(x - 6)**2*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 7:10 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30337.9 days in nanoseconds?\nAnswer: 2621194560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -14947, -15724, -17021, -18838, -21175, -24032, -27409?\n\"Answer: -260*o**2 + 3*o - 14690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 931 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n + 7. Let o be f(3). Suppose -o*t + 3 = 3*k + 4, -29 = 2*k - 3*t. Let p = -4 - k. Sort -4, p, 0 in ascending order.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -336?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -20.57072+-34\nAnswer: -54.57072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/13398 and -65\/48314?\nAnswer: 1594362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-1)\/2) + 0. Let p(i) be the second derivative of 13*i**4\/4 + i**3\/6 - 3*i**2\/2 - 3327*i. What are the prime factors of p(m)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 10 = -0*s. Let t be ((s - 1)*1)\/(-1). Find the first derivative of -t*g - 74*g**3 + 75*g**3 - 5 + 3*g wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -6*g - 10*g + 9*g. What is the remainder when g is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-87)\/(-15))\/((-12)\/(-10)*-4) and (-5)\/((-245)\/14) + 2090\/84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 127 in -4, -0.4, 3\/10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 230\/(-15) - (-3276)\/156?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 3*j + 8. What are the prime factors of v(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236623 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = 4 + 33 - 28 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 159\/13 > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1295 - -1298. Solve 13*t = -29 + q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of 24*q**5\/5 - 24*q - 33. What is the derivative of t(c) wrt c?\nAnswer: 96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = q + 3 - 11, 1 = -3*q - 2*m. Suppose -3*l = 5*j - 0*j + 6, j - 3*l - 6 = 0. Which is the nearest to j?  (a) -3\/7  (b) -0.1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62 - 58. What is the third smallest value in z, -0.1, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12077.\nAnswer: 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 12. Let z = 479 - 479. Give a(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -830714810*f**2 + 910302625 wrt f?\nAnswer: -1661429620*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 0*o - 4*o + 3*o. Let f(h) = 5*h + 1. Let u(c) = -608*c + 607. Let w be u(1). Determine w*f(n) - 6*t(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1106 divided by -34.\nAnswer: -553\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + d - 1. Let x(g) = g**2 - 1. Let h(j) = -p(j) - 2*x(j). Suppose -8*c = -2*c. Suppose c = -8*a - 10 + 34. Determine h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 118 - 121. Let r be 6\/4*(6 + z) - 4. What is the closest to -2\/9 in -3, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 4*c**3 + 128*c**2 + 116*c - 248 = 0.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113190 divided by 113190.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d**3 + 147*d**2 + 5628*d + 60724 = 0. What is d?\nAnswer: -94, -34, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + k + 1. Let m(x) = -50*x**3 - 3*x - 3. What is m(t) + 3*z(t)?\nAnswer: -53*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -29*g - 41. Give o(4).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7924 and 158478019?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**4 + d**2 + d - 2. Let o(k) = 475*k**4 - 2*k**2 - 2*k - 339. Let g(j) = o(j) + 2*p(j). Find the first derivative of g(x) wrt x.\nAnswer: 1892*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*o + 4*q + 8, -5*o + q + 13 = 0. Let u(w) = 3 - 2 - 7*w - 5 - 6*w**2 - w**o. Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 8, r: 1, k: 1, h: 4, g: 1, u: 1}. What is prob of sequence rtt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 7. Suppose 2*l + 2*q = 122, 2*l - j*l = -4*q - 61. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1474754256.\nAnswer: 2, 3, 41, 53, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5263*z**3 + 1756*z**3 + 1752*z**3 + 1760*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(5\/3)\/r*r*r**(-6)\/r*r)\/(r*r**2)**(2\/143))**40 assuming r is positive.\nAnswer: r**(-75080\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-12)*(-1 - 1). Let u be 10\/8 - 153\/132. Sort -0.2, u, f.\nAnswer: -0.2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27.7 or 21\/152?\nAnswer: 21\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 4*y, 3*x - 3*y - 7 = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 + 38*q**2 - 45*q - 216. Let j be n(-39). Solve 0 = 28*v - j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -n - 5, v - 7 + 13 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 0 + 0 + (1 + 3 - 6)*(-2*a - 3*a + 3*a) + 0*a + 4*a - 6*a - 3*a + 2*a + 0*a - 3*a + 3*a + 2*a - a - a + 3*a)*(57*a + 27*a + 23*a).\nAnswer: 642*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 1 + 7*v + 7*v - 20*v. Let n be 4\/(-18) + (-88)\/9. Does 23 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ykhk. Give prob of sequence ykh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -423507, -423443, -423335, -423183?\n\"Answer: 22*o**2 - 2*o - 423527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of 9\/4*n**2 + 0*n - 1\/4*n**3 - 11. Factor h(u).\nAnswer: -3*u*(u - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 8*c - 13. Let m be h(2). Let w(t) = -t. Let u(i) = -i. Let d(r) = m*w(r) - u(r). Let l(y) = -16*y. Calculate d(l(q)).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1194\/((-7)\/(-1) + (-18)\/(-12)*-4) is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -78.25 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 159470 by -5.\nAnswer: -31894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2820 and 3480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*h**4 + 3*h + 41 + 15*h**2 + 30 - 98 + 29 as l*h**3 + k*h**2 + i + a*h + v*h**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60\/50 + (-98686)\/(-95) is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 - 7 = 2*v. Let t = 5 - 2. Suppose -1 = 5*g + 24, -4*m - t*g = -9. What is the remainder when v is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -158.01 * -367\nAnswer: 57989.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*q**3 + 107*q**2 + 359 + 0*q**3 - 1101 - 3*q**3 wrt q?\nAnswer: 3*q**2 + 214*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001011111010001 (base 2) to base 14\nAnswer: 10241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**5\/5 + 6*l**4 - 284*l**3\/5 + 528*l**2\/5 = 0. Calculate l.\nAnswer: -22, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 384106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 54, 77, 100?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14601 - -51?\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7556377.\nAnswer: 2371, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 1:42 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5 + 638*u**4 + 46196*u**3 - 1161828*u**2 - 143528598*u + 144643590 = 0. Calculate u.\nAnswer: -195, -87, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5478 = -5*m + 5*z, -3*m = -2*z - 8195. Suppose -y + m = -1412. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 4*v**2 - 3*v**2)*(-49 + 3*v - 67 - 118 + (5 - 1 - 5)*(-v + 3*v + 0*v) + v + 2*v - 2*v - v + 0*v + 0*v).\nAnswer: 2*v**3 - 468*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 256159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 26  (b) -4  (c) -3\/5  (d) 0.01  (e) -1\/9  (f) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8248218 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*z + 99*z = 42. Let p be 1\/(((-1)\/(-9))\/(6 - -1)). What is the greatest common divisor of z and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 84*r**2. Let u(h) = 3*h. Calculate u(c(d)).\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/6916 and 89\/1544.\nAnswer: 2669576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, q: 4, c: 6, n: 2, o: 2, h: 1}. Give prob of picking 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 3*k - 2*y - 256, 3*k - 748 = -4*y. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12070562297177 minus -1?\nAnswer: -12070562297176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14.2 - -13.181. Let g = w - -0.019. Are g and 0.053 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 + 58*k + 108.\nAnswer: 2*(k + 2)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.1159927 grams?\nAnswer: 0.0000001159927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 477, 1910, 4289, 7608, 11861, 17042, 23145?\nAnswer: 30164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 - 30. Differentiate -9*s**r - s - 17 + 1 + s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 102, 206, 324, 462, 626?\n\"Answer: p**3 + p**2 + 94*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24181, 24194, 24215, 24244, 24281, 24326, 24379?\n\"Answer: 4*a**2 + a + 24176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -3*s + 4*s + 68, 161*s - 191*s = 4*m + 1848 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 104014032431 + 4?\nAnswer: 104014032440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 306699431.\nAnswer: 17, 257, 70199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (-72 + (-3 - -3)). Calculate the greatest common divisor of r and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 169344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21122*z = -21168*z + 1150 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -13*d**6 - 2*d**5 - 9*d**2 + 2*d. Let r(q) = q**6 + q**5 - q. Let x(o) = -2*r(o) - w(o). What is the third derivative of x(m) wrt m?\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2, 1\/2, -123, -8, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - -2)\/(2\/(-18)). Let c = u - -30. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + f + 1. Let a be 990\/(-550)*(-60)\/9. Let s(x) = 9*x**3 + 12*x**2 - 12*x - 12. What is a*g(h) + s(h)?\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(720) + (-1 + sqrt(720))**2 + 0.\nAnswer: -12*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 6 = -4*m, -c - 5*m = -3*c - 6. Suppose 100 = 5*d - 0*d. Suppose -5*t = -2*h + d, c*h + 4 = 7*h - t. Solve -3 = -h*j + 3*j, 3*j - 2 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 2*s - 6, 5*s + 0*s = -5*f - 5. Let v be -3 + 1 - ((f - 5) + 5). Solve -9 = -2*z - r, -z = -v*z + 3*r - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288649 is divided by 1447.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 54*g**2 - 6*g + 294. Give u(54).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1191405 is divided by 108.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - ((-12)\/54 + (-736)\/(-18)). What is the biggest value in s, -3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1008282439\/374 - -2695940. Let q = d - -101\/17. Find the common denominator of q and 122\/(-220) - 4\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*b + 21 + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*i**3*k**3 + 596*i**3*k**2 + 2*i**2*k**3 - i*k**2 wrt k.\nAnswer: -66*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aoaym. What is prob of picking 1 a and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9304 + -9293. Solve 3*o = 2*i + 7, -o - i - p = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -44*x**2 - 19*x**3 - 22*x**3 + 42*x**3 + 427 wrt x?\nAnswer: 3*x**2 - 88*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 254900 and 255328 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 7.9\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**2 - 2*x**2 + 15 - x**3.\nAnswer: -x**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/56 and 107\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - sqrt(133)*-1))*3)\/(sqrt(448) - sqrt(448)*-3).\nAnswer: -3*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2472 take away 1?\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 415.8 + -415.803. What is the fourth smallest value in -0.7, -3\/5, c, -5, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90726900037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 20.0862 and -12?\nAnswer: 32.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -42618*r - 213089. Determine l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*l + 39 = -7*l + 7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10165 (base 7) to base 3.\nAnswer: -10102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -10.9. Let a be ((-4)\/(-10))\/((-18)\/10). What is the second smallest value in 5, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/7, -1\/36, 19.7 in increasing order.\nAnswer: -12\/7, -1\/36, 19.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -11 - u + 11. Let n(b) = 6*b - 4. Let h(y) = -y. Let p(v) = -h(v) - n(v). Let w(s) = -1. Let l(x) = p(x) + 4*w(x). What is k(l(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57472 - 693661.1.\nAnswer: -751133.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198 = -12*h + 45*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -17*c**3 - 2*c**2 + 3*c + 5. Determine w(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 15, -k - 9 = -3*l + 9. Sort -2, k, 2.\nAnswer: k, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 8 = -4*t - 1, -5*z = 4*t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -807.0663869 - -807.06. Round x to 4 decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 735, -4549, -13357, -25689, -41545, -60925?\nAnswer: -83829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvuvuub. Give prob of sequence vuu.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 6)*(16 + 7*y - 16) + 13*y - 2*y + y as s*y + q and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(55)\/(sqrt(500)*4 + sqrt(5)))**2.\nAnswer: 99\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 562, 565, 570, 577, 586?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + 719 - 726. Put 1, -17, 0, i, 2 in decreasing order.\nAnswer: 2, 1, 0, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -17 - 6 - (0 + -39)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2459*r = 413*r - 1294*r + 501*r - 255510 for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39652345 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2, -6431, 4, 5\/2, -1\/4 in ascending order.\nAnswer: -6431, -2, -1\/4, 0.4, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 5*l + 3*l)*(-5 + 2 + 2) + (-3*l - 7*l + 4*l)*(-5 + 2 + 1) + (-1 + 2 - 2)*(-3*l + 0*l + l) - 2 + 2 + 3*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 60623417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 58*u**2 - 9*u + 6. Let v(j) = -1181*j**2 + 183*j - 122. Let i(b) = -6*v(b) - 122*w(b). Let n(d) = 2*d**2 - 8*d**2 - 5*d**2. Determine i(n(o)).\nAnswer: 1210*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*s**4 + 5*s + 17.\nAnswer: -16*s**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.738 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5*j + 1379, -4*j = 5*b - 1527 - 207. Suppose -281 = -4*w - m, -5*w + 5*m = m - b. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - -67. Suppose 4*n - s = 35. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/7 or -35.593?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 26 = -3*z - 4*r, 0 = -r - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 2550002 and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 7*g**2 + 2*g + 12. Let h be m(6). Let o be (h\/(-25))\/(20\/(-25)). Factor 0 + 8\/5*z**2 - 8\/5*z - 2\/5*z**o.\nAnswer: -2*z*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aym when three letters picked without replacement from {m: 1, i: 1, a: 2, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*x**2 + 3*x**2 - 5 + 4*x**2 + 0 as h + p*x**2 + i*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 152.919168 from 7.1.\nAnswer: -145.819168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1673*i**2 - 186*i**3 - 2262*i**2 - 251*i**3 wrt i?\nAnswer: -2622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 5 = -k - 0, -5*k = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -7 - (-293 + 8) - 14\/(-2) is divided by 4\/4 - 0 - 68\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39980 or 39979?\nAnswer: 39979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 379 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, o: 1, z: 1, m: 2}. Give prob of picking 1 k, 1 o, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 658339\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-18))\/(2\/9). Solve 0 = y*l + 5*p - 45, -3*p = 4*l - 2*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 20 = -q, -3*q + 4*j = -5*q + 10. Let s = 318 - 318.26. Let g = s - -3.26. Which is the fourth smallest value?  (a) q  (b) -4  (c) 3\/4  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + y = -15, 2*p - 3*y - 39 = 0. Let c(r) = r**2 + 12*r - 36. Let o be c(p). Let n = -179 + o. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/3 + (15 - 912\/36).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9993 + -9991. Let p(w) = 2*w**2 + 2*w + 2. Let g be p(3). Calculate the greatest common factor of g and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/5 + 216*r**2\/5 - 641*r\/5 + 426\/5.\nAnswer: -(r - 213)*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 + 38. Which is smaller: -30\/7 or c?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118517 (base 10) in base 13?\nAnswer: 41c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/72 and 173\/30?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1172, -1509, -2410, -4151, -7008, -11257?\nAnswer: -17174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -792*p + 19799. Calculate c(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2\/7  (b) -2  (c) 1\/4  (d) -10544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -32 and -877\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*w**2 - 12*w**2 - 16*w**2 - w**4 + 44*w**2 - 2*w to the form v*w**3 + x + n*w**2 + r*w + m*w**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*k**4 + 39*k**3 + 21*k**2 - 303*k - 2.\nAnswer: 312*k + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*t**5 + 243*t**2*y**3 - t + y**3 - 717*y wrt t.\nAnswer: 60*t**3 + 486*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3732323 a multiple of 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xdvxvvvlld. What is prob of sequence lddv?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkzkkkkkz. What is prob of picking 2 k and 1 z?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*d**2*g**3 - d**2*g**2 - 41*d**2*g - 2*d*g**3 - 4*g**4 wrt g?\nAnswer: 90*d**2 - 12*d - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*q + 11 = 30, 5*p - 23 = q. Suppose 3*u - f = 317, 0 = 2*u - u + p*f - 123. Suppose 5*y - 3 = u. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 4*b. Suppose -8*h - 91 = -21*h. Suppose h*l - 23 = 19. Calculate u(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-3 - 2) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 73806 and 4?\nAnswer: 147612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0285 - -0.04. Let m = x + -0.01. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21927\/(-18) - (1 + -4). Let w = -193072\/159 - z. Calculate the common denominator of 29\/10 and w.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1\/11, -784, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, 1\/11, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 9, z: 1, r: 2, d: 2}. What is prob of picking 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 42364609706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (19\/76)\/((-8)\/((-224)\/21))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1353.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2 - 100*t + 99 = 0.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 13*v**2 + 140*v. Let r(h) = 15*h. Determine r(t(w)).\nAnswer: 195*w**2 + 2100*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 117*l**3 + 5*l**2 + 3*l. Let c(f) = -122*f**3 - 5*f**2 - 2*f. Determine -3*c(i) - 2*x(i).\nAnswer: 132*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2. Let z = -160 + 160. Let r(c) be the second derivative of z + 1\/6*c**3 + 0*c**2 - 2*c. Determine f(r(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2842*v - 1539*v - 1301*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2224 + -2223.5. Which is the closest to 1\/2?  (a) -0.6  (b) -0.3  (c) 2\/3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -87 + 785\/9. Let c be 10\/35*(-14586)\/12. Let w = c + 347. What is the closest to w in -0.5, 9, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 117757*x + 1413083. Give v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -9912?\nAnswer: 9910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -115 times 0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 469.8552 + 1.9568.\nAnswer: 471.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.963 plus 0.04?\nAnswer: 1.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 25*h**8\/336 + h**5\/30 + 11*h**3\/6 - 10*h**2. Find the third derivative of n(m) wrt m.\nAnswer: 1500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddadgagddgdddg. Give prob of picking 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -18*j**2. Let y(s) = 9*s - 2*s - 5*s - 4*s. Give g(y(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c + 18. Let v(z) = 10*z - 27. Let w(u) = -7*d(u) - 5*v(u). Suppose 0 = -0*b + b. List the prime factors of w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**35*p)\/(p*p\/(p\/(p\/p**(-2\/39)))))**(-3\/2) assuming p is positive.\nAnswer: p**(-662\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j + 6. Suppose 0 = 2*f - 17 + 5. Let n be (0 - (-2)\/f)*-3. Let u(z) = z + 1. Determine n*r(k) + 5*u(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -137 divided by 315?\nAnswer: -137\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-5))\/((-4)\/(-240)*6). Let v = 162 - c. List the prime factors of v + (-2 + 2)*1\/2.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*j**2 + 12*j**3 + 10*j**2)*(-3 - 3 + 5).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -986*u**2 + 613*u**2 - 1005*u**2.\nAnswer: -1378*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -17  (b) 5  (c) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, f: 1, m: 2, h: 3, e: 4, l: 1}. What is prob of picking 1 f, 1 e, 1 u, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 2090540.\nAnswer: -4181080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 5*s - 205. Let m be v(41). Sort -0.012, 0.2, m, 4 in ascending order.\nAnswer: -0.012, m, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -4*g**2 - 11*g + 8. Let o(h) = h**2 + h - 1. Let r(l) = -c(l) - 6*o(l). Let u be r(3). Suppose 0 = -2*w - 9 - 1. Is u > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -281692*z. Let v(a) = -22*a. What is v(l(c))?\nAnswer: 6197224*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 3967309?\nAnswer: 793461.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4529 * -0.37.\nAnswer: 1675.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 31 = -2*m. Calculate the smallest common multiple of 24 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -8. Let m be (h\/2)\/(1\/(-40)). Let k = m - -33. Solve 0 = -3*v - p + k, 0*v = -5*v - p + 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289*c + 218*c = 355. Sort 7, -3, c, 4, 2 in descending order.\nAnswer: 7, 4, 2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/((-612)\/(-60))*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 + -296 + 68 + 22?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -759*m**4\/5 - 180033*m**3\/5 - 183198*m**2 - 34800*m = 0.\nAnswer: -232, -5, -50\/253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/(-2)*-3*2. Suppose -1 = p - 7. Let f = d - p. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -10 - -9 - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 3*l - 1, 6*l - 2*l = -j - 10. Which is the closest to j?  (a) 3\/8  (b) 14  (c) 3  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -3. Suppose -u - 5 + m = 0, -2*u = -2*z + 328. Let v = -193 + 213. Calculate the highest common factor of v and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4800324 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 11*q**3 + 10*q - 14. Is c(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 + -13. Suppose 21 = -3*t + 5*g + 62, s = 5*t + 5*g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -11, 674, -5, -214 in increasing order.\nAnswer: -214, -11, -5, 2, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 4686 divide 2456766708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + 0 + -2 + 5 + ((sqrt(500) + 1*sqrt(500))\/sqrt(10) - (sqrt(50) - sqrt(200)*-2)))**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - 2*q + 4. Suppose -4*w + s + 73481 = 6*s, q*s = 3*w - 55082. Let y = w - 587749\/32. Find the common denominator of y and 5\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 10. Suppose -h = -5*q - 0*h + 25, -5*q = 5*h - 55. Let j be c(q). Suppose 2*s + 2*n = 28, s = -j*s - 3*n + 74. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2133881 = 2133878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -4, 4, -28609.69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**2 - 9*l + 32. What is a(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 370032 and 30243?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -12214?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 208952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t - 253 - 279 + 532 + 7*t**2. Suppose 5*c + 2*b = 0, 0 = c + c - 5*b - 29. Suppose -c*h - 7 = -5*f, -3*f + 5*h + 1 + 7 = 0. What is x(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 17*f**2 + 12*f + 8. Let w(k) = 72*k**2 + 49*k + 32. Let q(l) = -17*r(l) + 4*w(l). Give q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(sqrt(112)*-1).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/198707 and 58\/9175159.\nAnswer: 1000092331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o - 2*o + 42. Let l = -2024 + 2084. Calculate the remainder when l is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - -1) + (-6069)\/27. Let d = o + 222. Which is the closest to d?  (a) -3\/7  (b) 3  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 15) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 808062 = -4*i, 4*i = -3*v + 6*v + 808046. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -393 - 1285 - 84543*y - 943 + 84544*y to k*y + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -t**3\/3 - 3*t + 17. Determine m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -13*d + 16. Let j(h) be the first derivative of 3*h**2 - 8*h - 1049. Give 7*j(x) + 3*u(x).\nAnswer: 3*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -621, -1244, -1869, -2496?\n\"Answer: -v**2 - 620*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7415, 31816, 73177, 131492, 206755, 298960, 408101, 534172?\nAnswer: 677167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1482 and 1976.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 821452 divided by 2.\nAnswer: 410726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.18 - 0.18. Put 3\/8, b, 2\/9 in decreasing order.\nAnswer: b, 3\/8, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = i - 11730, 0 = -i + 106*j - 111*j + 11728. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/((-1)\/(-4)) + -1444. Round d to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x. Let s(t) = -4*t**2 + 18*t - 48. Let l(n) = 7*n**2 - 42*n + 97. Let f(d) = -3*l(d) - 7*s(d). What is u(f(a))?\nAnswer: 14*a**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 4115486?\nAnswer: 1234645.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 502642566 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 - 54. Let w = -252 - -2272\/9. What is v in 0*v**3 - 2\/9*v + w*v**4 + 2\/9*v**5 - 4\/9*v**r + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/383 and 127\/12?\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 10*m + 20. Let a be c(-2). Suppose -x = v - 12, -20*v + 17*v + 4*x + 1 = a. Solve 0*y - y + 2*k = -v, 3*y = 5*k + 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 8*h**3\/3 + 4982*h**2\/3 + 3730*h\/3 - 1244\/3 = 0.\nAnswer: -622, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3\/686 - 18143\/8232. Calculate the common denominator of -3\/28 and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -9\/4*d**2 - 1\/12*d**3 - 174 - 8*d. Factor a(c).\nAnswer: -(c + 2)*(c + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2*c + 4. Let o be c\/(-3) + 1\/(-3). Suppose 4*z - 67 - 9 = o. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -7*x**4\/4 + 5*x**3\/3 + 5*x**2\/2 - 5*x - 508. Let m(q) = -11*q**3 + 7*q**2 + 7*q - 7. Calculate 7*h(g) - 5*m(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (280550\/3620)\/(15\/(-18))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5446 is divided by 2509.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**2 + 16*r. Let x(q) = -2*q - 313. Determine x(z(g)).\nAnswer: -4*g**2 - 32*g - 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -341*j**3 + 6*j**2 + 25*j + 5. List the prime factors of b(-5).\nAnswer: 5, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 4. Is l(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*c - 56 = 0, 0 = 4*b + 2*c + 27 - 279. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4017 >= -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 6*c - 51. Let t be x(-5). Solve -5*q - t*l + 25 = l, -5*l + 4 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5\/4  (c) -48.93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 - 2*s**2 - 2*s. Let n(r) = 2*r**3 - 3*r**2 - 3*r. Suppose 70 - 66 = 2*h. Calculate h*n(d) - 3*v(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4457356524.\nAnswer: 2, 3, 4903, 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2248*g + 2367*g - 307*g.\nAnswer: 4308*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 4*l**2 - 78*l - 14. Determine k(4).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 512640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1677.2 and -487.\nAnswer: 816796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + q = 2482, 0*o - 5*o + 5*q + 6205 = 0. Let x be 454\/3178*((-3)\/1 + 514). What is the greatest common factor of x and o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 67038*d - 909. Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q - 4. Let t be i(4). Suppose 0 = 4*c + 2*c - 24. Find the second derivative of 16*a + t*a**2 + 0*a**2 + c*a**2 + 4*a**2 wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37117450.\nAnswer: 2, 5, 19, 89, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 11:01 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 273879.8 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 487  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*4*(sqrt(272) + 0)*6*-4*2)**2*6.\nAnswer: 1082916864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1402 - 77 + 242)*(0*b**3 - b**3 + 3*b**3 + (2*b**3 - 3*b**3 - b**3)*(-6 + 2 + 2)) to the form v + s*b**3 + t*b**2 + q*b and give s.\nAnswer: 9402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3438298 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 561177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 + p**3 + 0*p**3)*(-14*p - 53 - p**2 + 53).\nAnswer: 3*p**5 + 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2529261.\nAnswer: 3, 7, 19, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -43\/4  (b) -5  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68, -173, -326, -527, -776?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/26444 and -91\/105776.\nAnswer: 105776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*q**3 + 11*q**2 - 322?\nAnswer: 27*q**2 + 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 99420 and 4740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x**2 - 3*x**2 - x**2)*(-5*x - 2*x - 2 + 5*x + (0 + 2 + 0)*(-2*x - 2*x + 6*x)) in the form j + m*x + b*x**2 + f*x**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*t**3 - 48*t - 4*t**4 - 9189 + 10585 - 6904 wrt t?\nAnswer: -16*t**3 - 15*t**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 310 + -260. Calculate the remainder when 698 is divided by r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2741 - -2739. Let z(h) = 4*h + 2. Let s(n) = 1. Let j(q) = 3*q + 1. Let m(i) = j(i) + s(i). Give l*z(a) + 3*m(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 3*k - 48, -4*k = -4*g + 14 + 6. What is the tens digit of 12\/(-54) - (-110)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*t = 87 + 501. Put -4, t, -2017 in decreasing order.\nAnswer: t, -4, -2017","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 50857011, 101714017, 152571023, 203428029, 254285035?\n\"Answer: 50857006*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -17*a**2. Let s(g) = 7*g**2 - 6*g + 6. Let b(o) = 8*o**2 - 7*o + 7. Let l(i) = 6*b(i) - 7*s(i). What is l(t(m))?\nAnswer: -289*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 21 + 128092177\nAnswer: 128092198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 8. Let y(c) = 10*c - 85*c - 30*c + 10 - q. Let r be y(-9). Round r to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*p + 6, -5*u + 17 - 39 = -2*p. Suppose -j = j - p. Solve -12*t**2 - 8*t - t**3 + 5*t**3 - 8*t**j = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + 6 + (-24 - -27). Suppose -2*b - 38983 = -3*s, 6*s - k*s + 4*b = -26002. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.49039782 + -0.2.\nAnswer: 0.29039782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2069000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -3*v - 3*j - 7, -2*v + 18 = -2*j. Suppose -985 = -5*p + v*k, -4*p + p + 594 = -2*k. Suppose 5*g + p = 10*g. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (3 + -12 + 7)) + 10 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 12 = -2*w, -3*w = f - 3*f + 7. Let b(q) = 32*q**2 - 4*q + 1. List the prime factors of b(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5\/6, 1\/7, -2\/17, -2\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 1, 6, -326, -4, -2 in increasing order.\nAnswer: -326, -25, -4, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 2 + (-2 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g**3 - 819*g + 2*g**3 + 37*g**4 + 819*g - 1 + g**3 - 66*g**2 to s*g**2 + y*g**4 + c*g**3 + d*g + x and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 260 = 4*y, 3*q - y - y = 422. Calculate the highest common divisor of 24 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + 5 + -2 - 1. Solve -y*f + 4 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46724827 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 2 - 2) + 1 + (12903 - 12839).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -92\/25005 and 71\/33.\nAnswer: 275055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -976*c + 2824*c + 488*c = 49056 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 13 + -10 - (-82)\/(-26). Suppose 0 = 3*r - 2*r + 1. Put r, -0.5, l in descending order.\nAnswer: l, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 7 and 19.888.\nAnswer: 26.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 34 + 36 - 1687*v**2 - 71 - 1046*v**2 as x + j*v + u*v**2 and give u.\nAnswer: -2733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 11:32 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4286034 to the power of 1\/2, to the nearest integer?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35123 - 35119. Let b(i) = -i + 2. Let y = -1 + 2. Let l(k) = k**2 - 1. What is h*l(j) + y*b(j)?\nAnswer: 4*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 804.\nAnswer: -7\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -7*a - 1. Let x(h) = 41*h + 6. Suppose 61*i - 63 = 2011. Determine i*t(f) + 6*x(f).\nAnswer: 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - -704?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.78 + -0.22. Let p = -8 - w. What is the third smallest value in p, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2. Let a(l) = -4*l**2 + 1. Let m(k) = 2*a(k) - 9*g(k). Let h be m(2). Suppose -8 = -4*j, h*z - 221 = 3*z + 5*j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -30*x - 1. Let o be (6\/10)\/((-6)\/30). Let a be t(o). Suppose -16 = 2*g - 5*j - a, -4*g + j = -137. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -907931459 - 6*v + 907931459.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 44\/6*18\/12. Let w be 2\/(-11) - (-167)\/q. Let s = w + 2. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from nalhllalm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -245.52213 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j - 4*j - j**2)*(1609 - 943 - 879)*(-j**3 - 2*j**3 + 7*j**3).\nAnswer: 852*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 93?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 157.35 - 162. Let f = c - -4.45. Which is greater: -6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 45\/18*4\/(-115). Sort -3, m, -2\/13 in increasing order.\nAnswer: -3, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 0)*2 + 11 - 2. Suppose 4*j + 236 = 5*w, 2*w - 92 = -3*j + 4*j. What is the greatest common factor of w and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1016?  (a) 2\/7  (b) -1\/4  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 353058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/85565, 10, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2171 + 5?\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide (1164\/(-48))\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 80*j + 9. Let z be i(3). Let y = -70 + z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - (3 + 0 + -4). Suppose -2*z + 12 = -u*z + 4*c, -z = c - 4. Suppose -t + z*l + 3*l = -1, -4 = -4*t + 4*l. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04*-4650262.9.\nAnswer: -186010.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.066  (b) 2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/6)\/(19\/684*8)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (-35)\/2*28\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -76829*u**3 - 131*u - 161 wrt u.\nAnswer: -460974*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9519949?\nAnswer: 17, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - 1)*(-48)\/(-64). Suppose -4*z = 2*h - p, -h - h + z = -6. Suppose -108 = -6*t + h*t. What is the greatest common divisor of 90 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.09, 0.1, -3\/2 in ascending order.\nAnswer: -3\/2, -0.5, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, t: 7}. Give prob of picking 1 t, 1 x, and 1 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, m: 5, i: 1, r: 4}. Give prob of picking 1 q and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3203200 = -7*m + 15*m. Suppose -3*b - b = m. What is b rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -o**4\/12 - 3*o**3\/2 - 5*o**2 + 146*o. Determine x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3575 is divided by 298?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 174\/(-3) + (-41)\/(1476\/144)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -59002*x**3 + 1241*x**4 + 204 + 59002*x**3 wrt x?\nAnswer: 4964*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 n(w) be the third derivative of -w**4\/8 + 2*w**3\/3 + 6*w**2. Does 40 divide n(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1328)\/(-56) - 22)*49\/105 - 60\/25\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83.00118 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 4*d - 14, -4*o = -5*d - 2*o + 19. Suppose 0 = 5*h + 2*y, -h + 2*h + 4*y + 18 = 0. Calculate the lowest common multiple of h and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r. Suppose 23*n - 26*n - 12 = -3*v, v = 3*n + 6. Let m(b) = -2*b**3 + 3*b. Determine n*m(p) + 6*z(p).\nAnswer: 2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*v + 35*v + 4 + 8*v)*(-v + 0*v - v).\nAnswer: -46*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 7*t**2 + 6*t - 7. Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6642692 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-8)\/2)*-2*0\/82\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -134, 6, 3, -3, -9, 4 in increasing order.\nAnswer: -134, -9, -3, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -52 + 64. Suppose 5*i - 4*q = 11, i + q + f = 7. Let b = -20\/57 + -6\/19. What is the closest to i in 0.5, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 195765*a**3 + 176995 wrt a?\nAnswer: 587295*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 41*g**2 + 1. Is o(-2) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 + -3 + 2)\/((-36)\/(-54)). Let s = -6 + 3. Let f = -1.5 - -1. Which is the third biggest value?  (a) i  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 4*h = 1, -2*y + 3 = y - 4*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4835.\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -159052054 by 14.\nAnswer: -11360861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89643*q**2 + 179288*q**2 - 2304*q - 89647*q**2.\nAnswer: -2*q**2 - 2304*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5 + 0 - (-18)\/(7 + -4))*-3. Put -687, h, 4 in increasing order.\nAnswer: -687, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -9*j. Let s(o) = -62*o**2. What is x(s(t))?\nAnswer: 558*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3090 by -6.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020030 (base 5) in base 3?\nAnswer: -212011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 7612?\nAnswer: -7616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 399220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 11:45 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/7)*k\/k**(-16\/3))**(3\/11) assuming k is positive.\nAnswer: k**(136\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 39 and 16429.\nAnswer: 640731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25.321 or -1?\nAnswer: -25.321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9018 - -9021. Solve -t*h - 21*h + 120 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -1 - 26*k**3 + k**2 - 3*k**2 - k + 64*k**3 + 0*k**2. Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**4 - v**2 + v**2 + (0*v**4 - 2*v**4 + v**4)*(-2 - 1 + 2) - 15 + 11*v**4 + 15)*(5*v - 2*v - 5*v).\nAnswer: -26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 - m**2 - 9*m**3)*((1 + 3 - 2)*(2 - 3 - 7) + 5 - 4 + 0 + 1 - 2 - 1).\nAnswer: 153*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3\/154916 - -619643\/1084412. Let s be (-5)\/12 - 2\/(-8). Let p be (-3*(-8)\/14)\/2. Which is the fourth biggest value?  (a) s  (b) l  (c) p  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 3*s**4 - s)*(0*s + 0*s + 2*s) - 149*s**5 - 133*s**5 + 260*s**5.\nAnswer: -28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d\/(d\/(d*d*d*d\/(d\/(d*d*d**1*d*d))))*d*d))**20)**(4\/3)\/((d**(-1\/4))**(28\/9)\/(d*d**(4\/5)*d\/(d**(1\/6)\/d))) assuming d is positive.\nAnswer: d**(-23603\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110110 + -10001000010101111?\nAnswer: -10001000001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 2:38 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1257648.\nAnswer: 2, 3, 7, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 74 - -556. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 35103.29 microseconds?\nAnswer: 0.03510329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.1  (b) 5  (c) -7\/8  (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -g**5\/30 + g**2 - 41*g. Let n(k) = 86*k + 2. Calculate c(n(h)).\nAnswer: -14792*h**2 - 688*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 6. Let l be w\/6*2*12. Does 2 divide ((-28)\/l)\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d + 1. Calculate o(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -4. Let f = 12 - a. What is the least common multiple of 12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (303*b + 40*b**2 + 42*b**2 - 303*b)*(10*b - 7*b + 7*b) as d*b**2 + m + l*b + n*b**3 and give n.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**3\/3 - 3*c**2 - 12*c + 17. What is the remainder when 9 is divided by o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 4.9347?\nAnswer: 0.98694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118062 divided by -14.\nAnswer: 8433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -2. Let p be 2\/5 + (-47)\/5. Let g = 5 + p. Which is the second smallest value?  (a) -0.1  (b) r  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 6:52 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28026.51ml to litres.\nAnswer: 28.02651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/406, 0.5, 0.3, -0.00674, -4 in increasing order.\nAnswer: -4, -0.00674, 3\/406, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*b - 20*b + 120 = 0. Calculate the smallest common multiple of 120 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*((-12)\/(-4) - 2). Let p be g\/((-8)\/(-708)) - -3. Let b = -90 + p. What is the remainder when b is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (1 - -1 - (-229 + 237))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -8*z**2 - 459*z + 2488. Calculate t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j*j**(2\/5))\/j))\/j**(1\/4))\/((j*j*(j\/(j**(3\/2)\/j))\/j*j)\/(j\/(j\/j**4)))*(j**0)**(-50)*((j\/(j\/(j*j**1)))\/j)**(-2\/39) assuming j is positive.\nAnswer: j**(1403\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 44*x**2 + 7*x + 8. Let g(i) = 29*i**2 + 5*i + 5. Let u(p) = 8*g(p) - 5*h(p). Find the second derivative of u(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 1:18 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 24555902551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -8810000 to the nearest 100000.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 853, 1305, 2307, 4135, 7065, 11373, 17335?\nAnswer: 25227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 216 divided by 3\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 647*r**2 + 1460*r**2 - 543*r**2.\nAnswer: 1564*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14071*l = 4*s - 2*s - 14075*l - 54, 3*l + 0*l + 15 = 10*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 7*d**4 - 3 - d**4 - 2*d**4 + 4*d**4 + (1 - 1 - 1)*(-d**4 - 2*d**4 + d**4) + 23*d**2 + 10*d**4 - 23*d**2.\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -3*b - 5*g, -11*b + 7*b + 2*g = -34. What is the greatest common divisor of b and 13292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hccccchhchhhhc. Give prob of sequence hc.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 336759959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2\/11*t**2 + 5660\/11*t + 4004450\/11 = 0?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 28 - 13)*(-16 - 142*x**3 + 16).\nAnswer: -994*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 41, 147, 323, 569, 885, 1271, 1727?\n\"Answer: 35*a**2 + a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 3147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of h**6\/120 + 13*h**5\/60 - 13*h**4\/24 + 8*h**3\/3 + 24*h**2. Calculate the remainder when 8 is divided by p(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -11*z**5\/4 + 41*z**4\/24 - 31*z**2. Find the second derivative of b(k) wrt k.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/4 - 7852053*g**2\/4 - 5889033*g.\nAnswer: -3*g*(g + 3)*(g + 2617348)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3891, -3079, -941, 3165, 9881, 19849?\n\"Answer: 107*i**3 + 21*i**2 - 4019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -17 + 17 + 0*v + 10 + 5*v. Let l(x) = -x + 1. Give -6*l(q) - y(q).\nAnswer: q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 2*s = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 6.8. Let n = -0.2 - d. Which is the closest to 1?  (a) -2  (b) -1\/2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*u**3 + 854*u + 239*u**3 + 890*u**3 - 854*u + 1416*u**3.\nAnswer: 2510*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8227 from 195.\nAnswer: 8422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -14, 4 in ascending order.\nAnswer: -14, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -f + 15. Let m be 4\/f*(-9)\/6. Find the third derivative of 3*z**3 + 2 - 3*z**m - 2 wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41472437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 7*o**2 - 6*o - 13. Let f be v(8). Suppose -107 = -4*i + d, 5*i - f*d - 34 - 98 = 0. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4752 = 8*s + 8*s. Let i(g) = -297*g + s*g + 2*g**2 + 4*g**2. Let h(l) = -9*l**2. What is h(i(v))?\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 346950 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 344097+-23\nAnswer: 344074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: What is the derivative of -82*q*z + 5*q + 53*z - 4 wrt q?\nAnswer: -82*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 356783699811 + 0.3?\nAnswer: 356783699811.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - (7 + 1)) + 2. Let g(o) = 0*o + 94 - 5*o - 90. What is the units digit of g(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -5.6. Let o = -2.6 - y. Suppose -5*v = -3*s + 6, -13 + 1 = 4*s. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 6. Find the third derivative of -3*i**4 + u*i**4 + 4*i**2 + 3*i**6 - 2*i**2 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121031200010 (base 4) in base 8?\nAnswer: 31154004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2910298 - -0.291. What is b rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -72.6 - 2.\nAnswer: -74.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - 5*d. Let h be s(5). Let x = -1 - 1. Let o be 16\/(-12)*x\/(-6). Is h at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10.1 - -10. Which is the nearest to x?  (a) -0.1  (b) -4\/5  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-2))**(-15\/4)*k**9*k**0\/k*k)**46 assuming k is positive.\nAnswer: k**(-207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -26 - ((-14 - -22) + 69\/(-9)). Is 7 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 1 + 4)*(-3 - 1 + 0)*(62 - 2*f - 18 - 17)*(4*f - 2*f - f) to the form u + j*f**2 + g*f and give g.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**2 + 4. Let z(w) = -w**3 - 4*w**2 + w. Let u be z(0). Let r be m(u). Solve -3*k - r = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 32 = -0*d. Solve -m - 3*l + d = 0, 4*m + 6*l = 5*l + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6946386?\nAnswer: 2, 3, 139, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 26*a**2 - 25*a + 3. Let s be 1 + (-788)\/10 - 1\/5. What is the least common multiple of -1 + s\/(-4) + 3\/(-6) and b(25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 497795231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 983384258*c*y + c + 16712400 wrt y.\nAnswer: 983384258*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 3*m - 5, -1484*m + 5*x - 47 = -1510*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2528)\/(-168) - 15 - 106\/462. Which is the smallest value?  (a) -2  (b) 111  (c) w  (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*n + 544010 - 12538 = -9052*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 2937?\nAnswer: 11748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-8)*132\/1617.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 13*g + 6. Suppose -4*z = -4, 4*r - z + 3*z - 2 = 0. Calculate the least common multiple of 28 and p(r).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -478*j**2 - 21*j - 3. Let p(c) = -c**2 + 7*c + 1. Let b(f) = -3*p(f) - q(f). Let v(y) = 2*y**2. Calculate v(b(z)).\nAnswer: 462722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 60 + -67. Let j(h) = -3*h - 5. Let i be j(o). Calculate the highest common factor of i and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**2 + 37320*d + 93154876 = 0.\nAnswer: -2047, 11377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w - 9*w + 5 + 13*w. Let t(c) = 3*c - 11. Calculate 9*i(a) + 4*t(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 310, 641, 980, 1327?\n\"Answer: 4*h**2 + 319*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1451073*x = 1451072*x + y + 1, -x = -5*y + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34865109*l + 34865109*l + 19*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40763517*q**3 + 30790912*q wrt q.\nAnswer: 244581102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 11*x + 2. Let v be t(12). Let g = v - 14. Let c = -6 - -1. Sort c, g, -3 in descending order.\nAnswer: g, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*c**2 + 7*c**2 - 4*c - 10*c**2 + (-4 + 36 - 4)*(-5*c + 5*c + 5*c**2).\nAnswer: 143*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -37*q**2 + 1335*q - 4835. Give b(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154485984 to the power of 1\/2, to the nearest integer?\nAnswer: 12429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -144*h**2*v**2 - 77*h*v**2 + h wrt h.\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 194625 and 1800?\nAnswer: 1557000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.583267 litres?\nAnswer: 2583.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -2.2. Let g = 3.8 - u. Is 1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/64)\/((-161)\/17664))\/(8\/140*5).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -22*f**3 - 11*f**2 + 9*f - 8. Let o(t) = 62*t**3 + 31*t**2 - 26*t + 23. Determine 17*d(u) + 6*o(u).\nAnswer: -2*u**3 - u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**3 + 4135457*j**2 + 4135450*j - 24812736 = 0.\nAnswer: -4135456, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9b8 - -404?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -78 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28584 by 4.\nAnswer: -7146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -21*y + 9. Let o(w) = 11*w - 6. Let q(g) = -4*g + 2. Let x(v) = -o(v) - 4*q(v). Let h(p) = -p**3 - p**2 + 9. Let k be h(0). What is k*x(n) + 2*z(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 129371  (b) -0.1  (c) -2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 6. Suppose 4*s - h = -5*w, 0*s + 2*s + 3*w = 9. Is ((-633)\/s)\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -5, 2\/2313, -10, 0.5?\nAnswer: 2\/2313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -k**2\/2 - k + 135. Let h(v) = 14*v + 3. Determine h(c) + 3*x(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -0.3  (c) 1  (d) 0.035  (e) -2  (f) -8  (g) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of k**6\/120 + k**5\/4 - 11*k**4\/24 + 40*k**3\/3 - 216*k**2. Let h be s(-16). Is -21\/76 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33.11 times -0.075\nAnswer: 2.48325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -j**5\/60 - 3292*j**2. Let g(z) = 2453*z. What is a(g(w))?\nAnswer: -6017209*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) 0  (c) 1  (d) -0.3  (e) -1443\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/4*24\/9. Let c be u\/(((-20)\/1)\/2). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.755654um to centimeters.\nAnswer: 0.0008755654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(((-6)\/16)\/1). What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gkg. What is prob of sequence kgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.77 * 0.5.\nAnswer: 4.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36523.12 + -36523. What is the fourth smallest value in -25, -2, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2024193 is divided by 404832.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 21*o - 32. Let l be j(19). Suppose u - 3 = 2*n - 0*n, -l = 3*u - n. What is the nearest to 2 in u, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259.8104828 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*b + 54 + 40*b - 12*b - 13*b + b**2 to the form m*b + a + r*b**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (1 - (-2 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**2\/2 + 4*d - 18. Let w be t(1). What are the prime factors of ((-3)\/2)\/(w\/(-236))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 8634.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(242) + -1*sqrt(242)*1 + (-2 + sqrt(242) - sqrt(242)) + 3 + 3 + -6*(0 + sqrt(242)*-2))**2.\nAnswer: -139456 - 4224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 78114*w + 546826. What is n(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 8 = -3*w, w = 3*t - 0 + 8. Suppose w*j - 6 = 2. Find the third derivative of 7*g**4 + g**2 + g**4 + 5*g**2 + 0*g**j wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 4bc?\nAnswer: 4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 9*i**2 - 128*i - 1350. Calculate s(-12).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*j = -7*f + 999, -4*f + 1341 = -j. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1012213 - -22?\nAnswer: -1012131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000127597 rounded to seven dps?\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1692*j + 1690*j = 0. Sort j, -7, 36, 1 in descending order.\nAnswer: 36, 1, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(1\/25)*q)**(-11)\/((((q\/(q**7\/q))\/q)\/q)\/((q**(2\/53)\/q*q)\/q)) assuming q is positive.\nAnswer: q**(-20567\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + v = 3, -8 = -v - 11. Suppose z + 20 = 6*i, -1 = 3*z - q*i - 5. Determine g so that -4\/3 - 2\/3*g + 2*g**2 + 2\/3*g**3 - 2\/3*g**z = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -461*q + 57*q - 106*q - 1078*q**2 - q + 0 - 3 wrt q.\nAnswer: -2156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 5*q - 7888134. Let k(z) = -2*z**2. Calculate d(k(r)).\nAnswer: -10*r**2 - 7888134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 506 - 359. What is the remainder when x is divided by 27 - ((-10)\/(-6))\/((-141)\/846)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 5*n + 5979400, -31*n + 29*n = 9*y - 26907300. What is y rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204129981 minus -2131?\nAnswer: 1204132112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -123 - -126. Find the first derivative of -13 - h - 49*u - 25 wrt u.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f**2 + 3. Suppose 37*m - 39*m = -4. Suppose 41 - 73 = m*t. Let a(x) = 30*x**2 + 16. Give t*z(v) + 3*a(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8, -4, -1, 189, 0 in increasing order.\nAnswer: -8, -5, -4, -1, 0, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = c + 4*h + 4, -2*c - 19566337*h = -19566339*h - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 1150 = -1154, 2*w = s - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w + 12*w - 84 = 0. Let h = w - -88. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 493967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3850780*y**5 + 18*y**4 + 1446681482*y**2 wrt y?\nAnswer: -231046800*y**2 + 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1446000 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 28, 4, 1, 2.\nAnswer: 1, 2, 4, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60 - 93. Let j = 31.25 + i. Round j to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -11, -49, -1, 0, -9, -8 in ascending order.\nAnswer: -49, -11, -9, -8, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 8*s**2 + 12*s + 4. What is the units digit of v(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -6*k - 1. Let b(g) = 79*g - 12. Determine s(b(v)).\nAnswer: -474*v + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21203202223 (base 4) in base 14?\nAnswer: 492bd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-36) - 68\/(-18). Suppose -4*c + 64 = -w*q, 3 = -2*q + q. Let d = 17 - c. Calculate the least common multiple of 10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17236622 times 0.002\nAnswer: 34473.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 909*d**3*l*m + 51605*d**3*l + 5269*d*l - 135*l*m + 531*m wrt m.\nAnswer: 909*d**3*l - 135*l + 531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d + 3. Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 274 + -271. Let i(w) = 2*w**2 + 8*w - 37. Let x be i(j). Let h(g) = g**3 - 5*g**2 - 5*g. Determine h(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5002490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 1 + 5 + 1. Suppose c + 14 = 3*f, -f + 4*f + 1 = -2*c. Is f at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1313 divided by -1\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3097077 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 12 - 32. Calculate the remainder when 756 - (50\/75 + 245\/(-21)) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -78677 + 324539\/4. Let s = 2471 - w. What is the common denominator of 57\/4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 m when three letters picked without replacement from kkdmmdmkdmkmdmddd.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/84 + (338850\/120)\/45?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 652.142 meters?\nAnswer: 0.652142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 3*c - 7. Let y be i(5). Solve y*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, g: 11}. What is prob of sequence grr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-80)\/6)\/((20\/(-45))\/(28\/42))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 192*d**2 - 3. Let f be v(2). Suppose 0 = 5*m + 25, -4*m = -y + 6*y - f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 27, -3, -2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-9) + 2080\/(-1170). Let m(h) = -4*h**3 - h**2 - 6*h - 4. What is m(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of 0 - 11\/6*z**4 - 12*z**3 + 0*z - 1\/15*z**5 + 17*z**2. Factor d(x).\nAnswer: -4*(x + 2)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 1:26 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3895 and 1640.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 542544354*k**2*z + 337830928*k*z wrt k?\nAnswer: 1085088708*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, b: 1, p: 1, t: 3, y: 3}. Give prob of sequence ytt.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36 + (-3 - -1) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1200110220210 (base 3) in base 2?\nAnswer: 11011010100010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8 + -1)\/3 + 16. Let x be (-4)\/(-6) - (-10)\/3. Suppose 5*a = x*s + v, 3*a = 3*s + 2*s. Solve 2*n = -5*l - 22, -l = -a*n + 6*n + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -16*h**2. Let k be (5\/(-10) + (-21)\/6)\/(-1). Let i(t) = k*t - 91 + 91. What is i(l(q))?\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1448 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: What are the prime factors of 1687658806?\nAnswer: 2, 5741, 146983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 265 - 140. Let p = -125.4 + o. Let h = -2.2 + 2. What is the nearest to 3\/4 in h, p, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18667\/20 + 3791\/4. Factor -10*t**2 - x - 168\/5*t - 4\/5*t**3.\nAnswer: -2*(t + 6)**2*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.5 + -5. Let w = 44.07 + -0.07. Let m = w - 41. Which is the biggest value?  (a) 0.3  (b) m  (c) 0.4  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 + (-4 + 0 - -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g**3 - 3*g**2 + 2*g + 2. Let n(l) = -2*l. Let a be n(-1). Let z be a\/10 - (-18)\/10. Let c be h(z). Solve -4*s + c = -4*m + 3*m, s - 9 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 5:47 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.6 from 0.524.\nAnswer: 1.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -187, -186, -185, -184, -183, -182?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 400433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.01438 - -1.68438. Which is the third biggest value?  (a) -3  (b) 0.4  (c) 2  (d) -0.4  (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14579061*1\nAnswer: 14579061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6493 - 2038. What are the prime factors of z?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3071 is divided by 3048.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 646151851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -441*m**2 + 5*m. Let z(b) = b**2 + b. Give -p(c) + 5*z(c).\nAnswer: 446*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ueeeue?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -444\/5731 or 1?\nAnswer: -444\/5731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**3 + 0*k**3 - 6*k**3)*((-2 - 2 + 5)*(-2*k - 4 + 0*k + 5) + (1 - 1 + 2)*(-k + 6*k - 3*k)).\nAnswer: -10*k**4 - 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -101064460 (base 7) to base 5\nAnswer: -3002222331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 3*v + 6. Let s(g) = 5*g - 10. Let n(w) = -w**3 + 11*w**2 - 10*w + 11. Let o be n(10). Suppose -o*y + 0*y = -33. Let p be s(y). Calculate r(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 588092.\nAnswer: 2, 233, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -4*u**2 - 4\/3*u**3 + 0*u + 1\/24*u**4 + 0. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*k + 19*k + 53*k + 448 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/53526 and 111\/14?\nAnswer: 374682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**3 + 13*p**2 - 4*p + 11. Let v be t(-8). Suppose -z = -2284 - v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5377*l**2 - 27*l + 10222. Let m(y) = 5376*y**2 - 24*y + 10211. Let u(p) = 9*m(p) - 8*s(p). What is the first derivative of u(g) wrt g?\nAnswer: 10736*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 668359099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + 2*g + 4*g)*(-5*g + 0*g - 5*g).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69351, -138701, -208051, -277401, -346751, -416101?\nAnswer: -485451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/153*(10 - (4 - -3))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**2 - 32*k - 402. Give d(-10).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 8*p**2 - 8*p. Let m = -10 + 3. Let o(k) = k**2 + 6*k + 7. What is the smallest common multiple of j(m) and o(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -204 - 1?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(-28*q + 28*q - 7*q**2)*(-1 - 8 + 2) - 3 + 3 + 5*q**2 to the form m*q + k*q**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 4*a + 557 + 379, -4*f + a = 948. Let q = -957\/4 - f. Are q and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 48 = -g. Let p be 3\/g + 1\/(-4). Let i(m) = 3*m + 43. Let l be i(-15). Which is the second biggest value?  (a) p  (b) l  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22664300 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 5*s + 18 = 0, -3*r + 0*s + 6 = 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -562 by -10.\nAnswer: 281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 33273200 to the nearest 10000.\nAnswer: 33270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 - (-7 + 4 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268054.\nAnswer: 2, 101, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and -12641767.2.\nAnswer: -12641768.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 348 - 343. Let x be 55\/(-88)*(c + 3). Let w(d) = 5*d - 3. Let a(u) = 6*u - 4. Let h = -2 + 6. Give h*a(g) + x*w(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 8 - 2. Suppose 0 = 14*p - 46 - 38. Let y be ((-8)\/p)\/((-20)\/60). Sort y, q, -1 in decreasing order.\nAnswer: y, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 5951 divide 536348067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263952709.\nAnswer: 37, 7133857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20 + 20)*1*2\/(-4). Suppose 4*d - t - 188 = h, 2*d = 7*t - 3*t + 80. What is the highest common divisor of d and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.84 + 57.34. Round f to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bubuoosudvb. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1577\/423 - -40\/141. Find the common denominator of f and 40\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 526 + 7*v**2 + 510 - 1044 - v**2 + 8*v. Suppose 12 = -3*o - 3, x = 4*o + 41. Suppose -5*q = 2*a - 0*a - 35, -2*a - x = -3*q. Give p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80458314 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.001  (b) 5  (c) 2\/331617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1056 + -160946?\nAnswer: -162002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 43, 553384 in decreasing order.\nAnswer: 553384, 43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -5*t + 6. Let g(l) = 12*l - 14. Let p(j) = -7*d(j) - 3*g(j). Let o(v) = 7*v - 3 - 1 + 6 - 34*v. Determine o(p(n)).\nAnswer: 27*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97, -276, -619, -1210, -2133, -3472, -5311?\nAnswer: -7734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31735 + -31732. Solve -30 = -a*d - 3 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (-2)\/(8\/(-972)). Let c be f\/(-1)*(-3)\/(-12). Suppose -b = -3*o - 23 + 72, 0 = -4*o - 3*b + c. What is the least common multiple of 12 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 AM and 9:12 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -17240000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.08 - 0.08. Let w = 0.246941 - -2.753051. Let d = c - w. Round d to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n + 3. Let s(p) = -3*p + 4. Let h(j) = -2*l(j) + 3*s(j). Let f(i) = 18*i + 3. Let r be f(-2). Let o = 37 + r. Calculate h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-76)\/66 + 2 - 18\/27. Sort -5, 4, p in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3259 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-39)\/78*(1 + -11). Sort 10, k, 0, 4 in decreasing order.\nAnswer: 10, k, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -701 + 697. Suppose -h = -q - 3 + 2, 1 = 2*q - 5*h. Put 3, b, q in decreasing order.\nAnswer: 3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -11*a - 37. Does 17 divide l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 3 - ((-18)\/6 - (2 + 0)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 - w**2 - 3*w - 15. Determine f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - l**2 + 2*l - 2. Let v be j(0). Let f be 13 + 1*((-2 - v) + -1). Let i = 6 - -18. What is the highest common divisor of f and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, -2482, -157, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 1. Let c(f) = -8*f - 3*f**2 + 0*f**2 + 4*f**2 + 7 + 0*f**2. Let d be c(8). Let r(p) = p**3 - 6*p**2 - 8*p + 6. Let t be r(d). What is s(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h + 842 + 166 = 0. Let x = 34 + -815\/24. Calculate the common denominator of (-11 - -156)*6\/h and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/((-2)\/(0 - -2)). Suppose 0 = -u*w - 0*w. Let h(m) = -m**2 + 3*m + 4. Let c be h(4). Solve o + w*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(156) - sqrt(156)) + sqrt(156) - sqrt(156))*-5 + (sqrt(156) - sqrt(156)*2)*-5)\/((sqrt(18)*-2*3)\/(sqrt(960)\/sqrt(10))).\nAnswer: -80*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2606022 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 22 - 107. What are the prime factors of b?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -165.9 - -169.815. Let c = -0.085 - a. What is the closest to 1\/2 in -9, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {a: 3, l: 4, h: 13}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-18) - (-169)\/6. What is the greatest common factor of l and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -a - 5, -5*i + 3 = -0*a - 4*a. What is the smallest value in -0.2, -1\/2, a, 0.6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.018 - -4.982. Let h = 68 + -60. Let o = h - 13. Which is the smallest value?  (a) g  (b) o  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 58032 + 8698. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1562 + 1565. Let j(t) = 4*t**3 - t**2. Let w(o) = 7*o**3 - 3*o**2. Calculate v*w(p) - 5*j(p).\nAnswer: p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 847, 3370, 7571, 13450?\n\"Answer: 839*l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 39 + b0?\nAnswer: e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -442, -1763, -3866, -6661, -10058, -13967, -18298, -22961?\nAnswer: -27866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -129652 and -0.08?\nAnswer: 10372.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283 + 103 = 12*w. Which is the closest to -2\/11?  (a) 2\/9  (b) w  (c) 0.01  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x**4\/4 + 28365*x**3\/2 + 200898759*x**2\/4 - 159062211945*x + 94338662346747 = 0. What is x?\nAnswer: -10521, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 15) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 62189*(28\/(-56))\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, -0.2, 2332, 446.\nAnswer: -0.2, 30, 446, 2332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g**(-3)\/g)\/g*g*g*g*g)**(-29)*(g\/g**(-2\/29))\/(g*g**(-3\/11)) assuming g is positive.\nAnswer: g**(109\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 2:16 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*s = 2*q - 11, 2*q = 4*s. Calculate the remainder when (3\/q)\/(5\/90) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 233, 499, 865, 1331, 1897?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -5*k**3 - k**2 - 3*k + 1. Let n(b) = -6*b**3 - b**2 - 4*b + 1. Let c be 1*(-4)\/(-10)*-10. Let p(y) = c*n(y) + 5*u(y). Factor p(f).\nAnswer: -(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2930 = 4*v + 3*y - 5*y, 0 = 5*v - 5*y - 3670. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t - 3. Determine d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8335536 or 8335541?\nAnswer: 8335541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*r - 25*r + 140 = -57*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281934 = -10*x + 282434 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c + c - c + 1 + 7*c. What is the remainder when 47 is divided by d(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53 + -32. Suppose -3*c = -0*c - y. Suppose c = 2*p - h, -5*h = -4*p + 2*p + 19. Solve p*b + 5*j = -0*j + 21, 6 = 2*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 7:30 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 19*v**2 + 2*v - 1. Let i be a(17). Suppose 0 = -11*p + i + 720. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a - 4*a + 2*a + (a - 4*a + a)*(-2 + 4 + 0)*(-2 + 2 - 1).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84 + -57. Calculate the remainder when d is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/35380 and -63\/3050.\nAnswer: 176900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00481487512 to six dps.\nAnswer: 0.004815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77)*2 + sqrt(77))*-2 - 2*(sqrt(77)*2 + sqrt(77)))*-6)\/((sqrt(343) - sqrt(343)*2) + 3*sqrt(7)*-1).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = 3*o - 123. Let g(b) = o + 4*b - 16 - 29. Let c(h) = h. What is g(c(w))?\nAnswer: 4*w - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 7:04 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -273*i + 120*i - 384*i - 4.\nAnswer: -537*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - ((5 - 0) + -2)) + 13 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2964590184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5\/247 + 977\/36062. Which is bigger: v or -2\/27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-95)\/380)\/(35\/60)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*f**2 + 62*f**3 - 122*f**3 - 170*f**3.\nAnswer: -230*f**3 - 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-3)*i\/(i\/(i**(-1)*i))*i*(i**7*i*i)\/(i**4\/i) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -18 - 6. Suppose 21 = n*u + 1. Suppose -5*a = -w + 71 + 64, 2*a - 621 = -u*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/(-12))\/(2\/(-24)). Let v(y) = 2*y + 21. Let s be v(d). Suppose -2*o = -5*b - 386 + 3892, 0 = s*o + 9. What is b rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2810 - 2290 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b = -2*j + 7*b, 0 = -4*j + 4*b. Put -4, -2, -12, j in descending order.\nAnswer: j, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60 - -92. Let f = x + -31.9. Is f < 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and 40.17?\nAnswer: 321.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x**3 + 2*x**2 - x. Let c be z(1). Let n be -5 - ((-22)\/3 - 28\/(-84)). Solve 0 = -2*o - c - n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17939963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 + 8 + -12 - (15 - -2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 - 3*a**2 + a**2)*(-3 - 2 + 6) + 250*a**2 + 3716 - a - 3715 + 128*a**2.\nAnswer: 376*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 + 176*t.\nAnswer: -2*t*(t - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 1291*p**9\/504 + 993*p**5\/20 + 1496*p**2. What is the third derivative of j(t) wrt t?\nAnswer: 154920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of a**6\/2160 + a**5\/144 - 3*a**3 - 54*a. Let t(h) be the second derivative of q(h). Factor t(z).\nAnswer: z*(z + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14875.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y + 19. Let h be o(15). Let c(l) = -2*l**2 + 4*l + 4. What is c(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 12, -12 = -3*d - d + 4*r. Let h = -4 + d. Differentiate -3 + 2*w**3 + 2 - w**h with respect to w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 5*n**2 - 4*n + 4. Let g be 2\/(-2)*(-10)\/(-2). What is the smallest common multiple of k(g) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -609158 (base 11) in base 13?\nAnswer: -28349b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -243*v**5 - 78516*v**4 - 6385818*v**3 - 7022820*v**2 - 1944075*v = 0.\nAnswer: -161, -5\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -3\/4, -1772.\nAnswer: -1772, -3\/4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40.8 - 41. What is the smallest value in b, 0.4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5) + 2 + (5 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -564, -843, -1132, -1437, -1764?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 418522*f**5 - 15*f**2 + 371*f + 10.\nAnswer: 25111320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 252541 - (16\/8 + 1\/(1\/6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -597112 divided by 4\nAnswer: -149278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b + 11. Suppose -3*m + 4*m = 4*m. Suppose -4*c + 2*y = -38, m = -4*c - y + 6*y + 47. Calculate k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 1) + -8 - (500 + -515)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1157375)\/133200 + 8\/(-148) - -9 and 67\/2556.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 6*z - 303. List the prime factors of c(22).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 0. Let h be ((-3)\/(3\/2))\/(-1). Let c(x) = -7 + h + 4 + 0. Let n(v) = v - 11. Calculate q*n(s) - 22*c(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -19*w**3 - 6*w**2 - 9*w - 9. Give a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 6:13 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 979100\/(-58746)*(-12)\/(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 12) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*i - 2\/11*i**2 + 0 = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.056 times 245.6\nAnswer: 13.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 0*n - 160. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -10 - (12 + -7 + -153) and 368.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.883207 centuries?\nAnswer: 88.3207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53 + 7 + 9)*(-5*a + a + 3*a)*(-2*a**3 - 2*a**3 + 2*a**3) - 268*a**3 - 9*a**4 + 268*a**3.\nAnswer: -83*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5*p**2 + 12*p - 7 - 3*p + 13. Let d be h(-2). What is the highest common divisor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (226 - 351) + 54 - (-25 + 2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/23  (b) 3  (c) -0.003  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 18 = -l + 3*w, 3*w = -5*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -130650 by -25.\nAnswer: 5226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123 + 1 + (3 - (98 - 65)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 12, -4*b = -46*q + 44*q - 16. Which is greater: q or 4\/2495?\nAnswer: 4\/2495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/63 in -1\/2, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-7 + 1 + 2)*(-14*g**2 + 2*g**3 + 14*g**2) - g**3 - 2*g**3 - 5*g**3)*(1 + 4 - 3).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 4*z + 3 - 15 = 0, z - 1 = 0. Let d(o) be the first derivative of -b + 7\/3*o**3 - 10*o + 0*o**2. Find the first derivative of d(m) wrt m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.1  (b) 6336  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -4 - 5 + 7 - 4 - t. What is p(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 17*r**2. Let w = -59 - -66. Let q(u) = -20*u + 12*u + w*u. What is q(t(v))?\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 60.2*46086\nAnswer: 2774377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2381 + -1679. Suppose 0 = -2*s + 2*q + 702, -5*q = -2*s - 0*q + h. Let x be (s\/(-26))\/((-6)\/8). What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**2 + 4*x - 4*x)*(0 + x**2 + 0 + (5*x**2 + 39*x**2 + 12*x**2)*(1 - 2 - 1) - 2*x + x**2 + 2*x).\nAnswer: 330*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120989542.\nAnswer: 2, 223, 271277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 740974354 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -g - 4, -2*g + 4*h - 5*h = 1. Let n = -0.07 + -0.23. Which is the closest to -0.1?  (a) g  (b) n  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006322 to six decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 14 = 2*r, 3*r + 5*v = 6*r - 15. What is the units digit of (-114)\/(-15) - (-4)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 2. Suppose -3*z = -t*z. Suppose z*k = 2*k - 10. Let s(p) = p**3 - 5*p**2 + p + 3. Calculate s(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2135 divided by 44\nAnswer: 2135\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*0*(-4)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhhhghhhhhghhhhh. Give prob of sequence hh.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from nynsznnyszpnesnypnzp.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 - 46137*z - 184575. Give a(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -80 - -736. Suppose -30*i + 617 = 137. Calculate the greatest common divisor of i and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*(-9 + 5) + 6 - -2. Put -1, f, -17 in ascending order.\nAnswer: -17, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161344620?\nAnswer: 2, 3, 5, 17, 52727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*x - 37 = -5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, 1, 0.97, -2\/17, -2\/13 in ascending order.\nAnswer: -53, -2\/13, -2\/17, 0.97, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1755 and 87259275?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18 + (3 - 9) - 0. Let m = -7 + g. Solve -l - 4*i = -17, -m*l - 3*i + 9 = -2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/39?  (a) -4  (b) 0.1  (c) 0  (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -242, -2102, -7154, -16994, -33218, -57422, -91202?\nAnswer: -136154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -29*x**4\/2 - 259*x**3\/2 - 765*x**2\/2 - 729*x\/2 + 27 = 0. What is x?\nAnswer: -3, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 132, 1652, 3160, 4650, 6116?\n\"Answer: -t**3 + 1527*t - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -a**3\/5 - 3*a**2\/10 + 6*a\/5 + 2. Factor u(k).\nAnswer: -3*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 5*m - 7, -4*v - 5*m + 3 = 14. Let h = 12 + v. Solve 5*q - 2*y + 26 + 3 = 0, 0 = -3*q + h*y - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 61 = 5*a. Let z(u) = -u**2 - 11*u + 3. Let y be z(-5). Suppose c - 11 = -3*v + 14, -v = -c + y. Calculate the remainder when c is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*-1 + (sqrt(45) - -2*sqrt(4500)))\/(-2*1*sqrt(576)))**2.\nAnswer: 1805\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 633470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mqqmqmmqmgmmmmqmqq. Give prob of picking 1 m and 1 q.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39351, -155850, -350015, -621846?\nAnswer: -971343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*y + 3288*h - 3287*h - 5, 6*y - 3*y + 11*h + 18 = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 954333.\nAnswer: 3, 107, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -4*t + 20. Let w be s(-13). Suppose 2*b - 8*b + 108 = 0. What is the highest common divisor of w and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 2*h + 107. Let k be -3 - h\/8*(-12)\/(-1). Suppose 3*c - 30 = 3*m, -3*c = -0*c - 2*m - 30. What is the greatest common factor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 94, 1 in descending order.\nAnswer: 94, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(80))**2 + -2.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 5*v - 1. Let i(z) be the second derivative of -5*z**3\/2 - 5*z + 79. Calculate t(i(l)).\nAnswer: -75*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9298, 9626, 9932, 10204, 10430, 10598, 10696, 10712?\n\"Answer: -2*y**3 + y**2 + 339*y + 8960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*a + 34*a - 66*a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130 and 3146?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -449.428158 and -1.\nAnswer: 449.428158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 11, x: 5}. What is prob of sequence ff?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.235 - -1.835. Which is the nearest to 100?  (a) 1\/4  (b) f  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 62*a**2 - a + 1. Let x be n(1). Let c = -181 + 201. Suppose 5*k - x = -f, k + 4*f = -0*f + c. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.162 times -3\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j**2 + 55*j - 205. What is l(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 45*((-48)\/(-90))\/((-2)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 26 = 2. Let y = -5 + 5. Suppose s + 5*d - 2 = y, -4*d + 103 - 30 = 5*s. What is the remainder when s is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-3) - (0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (-2 + 0))\/1. Suppose l - 6 = -3*o - 0*l, 0 = -3*o - y*l. Solve k - 4*u - 12 = 0, -3*k - 2*u = 23 - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-393)\/5 + (-7)\/((-140)\/12). Let j = t - -82. Suppose -s + 0*s - 5*q = 5, -2*q + 4 = s. Solve 0 = -4*h - j*n + 6 + s, 0 = -n + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 18 = -36. What is the greatest common divisor of s and 1521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 11 and -236.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55824.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -26, -35, -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*k = -15, 5 = 4*x - 3*k - 16. What is the derivative of -13 + 10 + 4*p**x + 0*p**3 - p**3 wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, 9, 3 in ascending order.\nAnswer: -70, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (55 - 13) - (-2 + -5 + 5 + 5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130 is divided by 71.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**6\/50 - z**5\/25 - z**4\/30 + 2*z**3\/15 - z**2\/10 + 2*z - 588. Solve x(v) = 0 for v.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 2*x + 10, 4*x + 7 + 1 = 4*m. Let j be m\/(-9) - (-2733)\/27. Calculate the remainder when (j - -1)\/(-1 - -3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7178 - 4569. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 1)*(2*p + 3*p - 7*p) + (2 - 1 + 1)*(-665 + 665 + 16*p) in the form s + i*p and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3 - 90 - 39 - 285 + 54*k**2 - 363*k.\nAnswer: 3*(k - 6)*(k + 1)*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53 + 52 + 2 + 3 + 0 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29 - 46 - 38 + 171 - 30 - 16*o to h + g*o and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -714*o + 109. Let k(p) = 1069*p - 164. Let h(y) = -5*k(y) - 8*m(y). Is h(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 9 = -10*z + 5*z, 2*z - 3*q - 4 = 0. Let r be (-92)\/240 - (-9)\/36. What is the closest to 1 in r, -0.2, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18307062 a multiple of 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-8))\/(91\/(-78))*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 0*k + 1\/3*k**3 + 2 + 0*k**2. Let p = 50 - 53. What is g(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 60976.21 meters?\nAnswer: 60976210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1210 - -2?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*j - 90, 6*t - t - 100 = -5*j. Let n be ((-8)\/10)\/(5\/j). Let k = 83 + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*a - 5 + 10 - 3 + (a + 3*a - 2*a)*(-4 + 4 + 2) - a - a + a.\nAnswer: -11*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 6*h**2 + 6*h - 7. Let v be p(-7). Sort -4, v, 3.\nAnswer: -4, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-20)*-2 + -369*40\/900\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 42*o**2 - 4*o - 39. What is the units digit of q(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 968 is divided by 320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 8*p**2 + 3 - p**3 - 3*p**2 + 5 + 3*p. Let f be i(6). Let u be (-8)\/f*(-9)\/12. Which is the closest to 0?  (a) -3  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -83*u + 2*u**3 - 111*u + 100*u - 27*u**3 - 2*u**2 in the form z*u**3 + d*u**2 + n*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40.5229 + -0.0229. What is m rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(-2\/3)*a))\/a*a)**(-1\/14)*((a**(-1)\/a)\/a*a)**(-30) assuming a is positive.\nAnswer: a**(2521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 689, 1397, 2139, 2933, 3797, 4749, 5807?\n\"Answer: 3*p**3 - p**2 + 690*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)*3)**2 + sqrt(20))*-5 - (1*sqrt(25)\/sqrt(5) + 2 + sqrt(125) + sqrt(125))**2.\nAnswer: -1509 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 310611 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -41*g. Let t(p) be the third derivative of p**4\/12 + 7*p**2. What is t(c(k))?\nAnswer: -82*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from jjjnjjjjjnjjnjj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + x - 65. Let m be g(0). Let i = m - -158. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 5*q - 1. Let f be i(-6). Let y = 503 + -1436\/3. Calculate the common denominator of f + (-82)\/6 + 1 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 631500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3580 or -3.69?\nAnswer: -3.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -5*p + 13. Let w be z(3). Suppose -2*g + 8 = -4*g. Let u be (0 + 2)*w\/g. Solve -u = 2*m + 3*f - 12, 17 = 4*m + f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*u + 6*u = -150 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -9 + 9 + 57*h + 1 + 59*h. Is 34 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 818 divide 9800498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 2:45 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 24. Suppose -2*n = -2*k - x, 4*n - 3*k - 9 = 2*n. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 10*j**2 + 4*j - 1. What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from zuocj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2 + 4. Suppose -v - 171 = -5*w, 5*w - 42 - 125 = z*v. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 715162*k**3*y - 4614*k**2*y + 141*k*y wrt k.\nAnswer: 4290972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 7:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1407933075.\nAnswer: 3, 5, 53, 271, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67904841?\nAnswer: 3, 19, 1191313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 14*q - 11*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12a (base 16) to base 12.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1156905, -1156924, -1156943?\nAnswer: -1156962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + l - 4*l**2 + 0 + 0 - 5 - 2*l**2.\nAnswer: -9*l**2 + l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -99*s - 252. Let w be y(6). Let q = 6124 - w. Round q to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h + 5527*h**2 - 2*h + 1254*h**2 as p*h**2 + n*h + o and give p.\nAnswer: 6781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.948 + 0.052. What is the second smallest value in -18\/7, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 6:04 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d + 62. Suppose -17*h + 126 = -44. Let q be u(h). Let w = -152 + q. Which is the closest to 0.6?  (a) 2  (b) 0.5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 88\/(-42) + (18 - 15). What is the nearest to 0 in r, 44, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -811, 924, 5647, 14858, 30057, 52744, 84419?\n\"Answer: 250*z**3 - 6*z**2 + 3*z - 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 226470 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of -47*g**4\/24 - 23*g**3 + 140*g**2. Differentiate k(t) with respect to t.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 336.2229 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(250))\/(sqrt(20) + sqrt(180)))**2.\nAnswer: 625\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 158 + 116. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0365 - -0.03653397. Round h to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59507 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: Solve 9841*g - 9838*g = -86*a + 433, -2*g + g + 2*a = 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 4789*x**2. Let l(u) = -2*u. Give f(l(m)).\nAnswer: 19156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 22, -5, 3, -164 in decreasing order.\nAnswer: 22, 3, -1, -3, -5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37\/3 + -35\/3. Let q(s) be the first derivative of 0*s**2 - o*s**6 + 0*s**5 + 1 + 0*s**4 - 5\/3*s**3 + 0*s. What is the third derivative of q(g) wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + 22. Let l = -50 + i. Solve -l*p - 2*o = 4, 2*p + o - 3*o = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -5, -2\/5, 0.2, 14\/291, 2 in decreasing order.\nAnswer: 2, 0.2, 14\/291, -2\/5, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49310 - 39595928\/803. Let f be (5\/(-15))\/(2\/6). Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-32)\/30 + (-8)\/(-20). Let z = -5 - -8. What is the nearest to -0.1 in u, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18625046.\nAnswer: 2, 11, 76963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10548598597\/390 - -27047722. Let n = 467\/13 - d. Calculate the common denominator of -13\/16 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-80)\/(-30))\/((-8)\/(-36)). Suppose 20 = -s*h + 17*h. Calculate the highest common divisor of 128 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*b - 49464 + 49464. Solve -15*m + 2*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30016686?\nAnswer: 2, 3, 7, 151, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -98*r + 1786 + 1448. Let u = 130291328619213\/19591 - 6650570598. Let g = u + 4\/1781. Calculate the common denominator of g and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**0)**(1\/6)\/(c**(-4)\/c*c*c\/(c*c**(-2\/5))) assuming c is positive.\nAnswer: c**(113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/2 - (-102)\/12. Let n be 5\/20 + 670\/c. Suppose -3*m + 4*u + 21 = -19, -u - 1 = 0. What is the greatest common divisor of n and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) - (sqrt(272) - (1*sqrt(272) + sqrt(272))**2)) + -2.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*b - 46 = 74 + 390 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h - 4. Let u(a) = 2*a - 5. Let k(y) = -3*q(y) + 2*u(y). Let f be k(-7). Let z = 10 + f. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 53 - 8 = 0. Let d be t + (1 - 0\/2). What is the highest common divisor of d and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is a9 (base 14) in base 11?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from jctjjiuj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.04 + -0.34. Which is the third biggest value?  (a) h  (b) -2\/11  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 272486327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.153*0.04927.\nAnswer: -0.00753831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxxxxxxwcyyx. Give prob of picking 1 w and 2 y.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/3, 0, -2, -0.091?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ykikddk. Give prob of picking 1 k and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -11110100000000000101?\nAnswer: 11110100000000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7a1b3 - 4?\nAnswer: -7a1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5443 - -1351. Let z = -24623\/6 - p. What is the common denominator of z and 85\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16002 and 2324?\nAnswer: 2656332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00012438 to 6 decimal places.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -5  (b) 4  (c) 19\/385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8235432 minutes to seconds.\nAnswer: 49.412592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -13.3  (c) 2\/5  (d) 0  (e) 0.1  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*y + 12 = 57*y. Calculate the highest common divisor of 45 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -2*w - 4*t, 1610 - 1629 = 3*w - 5*t for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 5*u**2 + 30*u + 39. Determine j(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 142\/49?  (a) -0.01  (b) -2\/7  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 12*h - 6. Let b(t) = 3*t**2 - 11 - 6*t - 2*t**2 + 4*t + 27*t. Let i(s) = -2*s + 8. Let k be i(6). Let d(v) = k*b(v) + 10*n(v). Factor d(j).\nAnswer: -4*(j - 4)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9220*c - 79316 - 132744 = 0 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 832*a + 5. Let c(h) = 2*h. Determine q(c(b)).\nAnswer: 1664*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -196.2 + 160. Let k = 38.2 + r. Let v = -0.2 + 0.4. Which is the closest to v?  (a) 0.2  (b) k  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2683296309.\nAnswer: 3, 607, 1473529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-7)*1*6*(-319788)\/(-4202928)\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -818.\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 656013?\nAnswer: 3, 17, 19, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fpffffpffpfpffpfff. What is prob of picking 4 f?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221 = -4*n + 5*v, 205*v - 208*v = -2*n - 109. Which is the second biggest value?  (a) 1  (b) n  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4 = -3*j. Let v = -114 - -113. Put j, -4, v in descending order.\nAnswer: j, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 - l**5 - 4*l**5 + (3*l**3 - l**2 + l**2)*(4 - 4 + 3*l**2).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 1254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*j**3 - 15*j - 11*j + 2*j**3 + j**4 + 2*j**2 - 7*j**3 + 7*j to o*j**3 + r*j**2 + c + k*j + p*j**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (15\/44)\/(1\/(-12)) and (-49)\/18*2 - (-2)\/3?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -7) + -5 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*k = m + 3, -3*k - 3*m = -3. What is the nearest to k in -2, -5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + -1*sqrt(114))*6) + -4*sqrt(114)*3)\/(-5*-1*sqrt(150)*2).\nAnswer: -11*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16728 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3022001434 (base 5) in base 3?\nAnswer: 102101020002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001100111101110010 (base 2) in base 3?\nAnswer: 1002100000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 29731.54cm in meters?\nAnswer: 297.3154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 864 and 55296.\nAnswer: 55296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 23. Let b = 0.12 - k. Let n = b - 0.09. Which is greater: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.3 + 0.3. Let n = -2.6 + b. Suppose -3*o + o + 10 = 0. Put 2, o, n in increasing order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -2*v**3 - 75780*v**2 + 2578254*v - 21920072 = 0.\nAnswer: -37924, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 1\/12  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51681.\nAnswer: 3, 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -493*h**4 - 15*h**2 + 4.\nAnswer: -11832*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 6:00 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1697508 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**5\/2 + 1901*w**4\/2 - 280225*w**3\/2 + 2902655*w**2\/2 - 3387437*w + 2075272 = 0.\nAnswer: 1, 2, 8, 149, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3*t - b - 82 = 0, -3*b + 194 = 5*t. Suppose t = -11*i - 367. Which is smaller: -189\/5 or i?\nAnswer: -189\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 0.2, 68152, -0.2, -1\/6.\nAnswer: -0.2, -1\/6, 0.07, 0.2, 68152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2 + 18\/12. Let a(z) = 16*z + 1. Let b be a(p). Suppose b = 3*v + 6. Calculate the greatest common factor of 45 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x - 64 = -3*g, -g + x + 16 = 0. Suppose -19*r = 36 - 150. Calculate the lowest common multiple of r and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*y + 15*y = -43*y + 1524 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45 - 9. Calculate the remainder when t is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 2 = 0, -c - 2*c - 5 = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 83 + -82.9. Let g = -5 - -4. Which is the nearest to g?  (a) 0  (b) n  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3 = 1. Suppose -2*q = m*q - 60. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24672 - 24671. Solve -3 = -2*l - k, 15 = -4*h - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -231, -7 in increasing order.\nAnswer: -231, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -30 - -5c?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33)\/(-5) - ((-24)\/10 + 2). Solve 9*a + v*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 7*k**5\/15 + k**3\/6 + 24*k**2. What is the derivative of n(q) wrt q?\nAnswer: 56*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*j + 5885837 = 39*j + 7*j. List the prime factors of j.\nAnswer: 41, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -6*c**5\/11 + 16130*c**4\/11 - 9590576*c**3\/11 - 1724326072*c**2\/11 - 2853591168*c\/11 - 1138871808\/11 = 0?\nAnswer: -142, -1, -2\/3, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 38*l**2 - 2*l. Let i(p) be the third derivative of -13*p**4\/24 - 1473*p**2. Calculate s(i(c)).\nAnswer: 6422*c**2 + 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 2:19 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**3\/7 + 1227*a**2\/7 - 4624440*a\/7 - 425225052 = 0. Calculate a.\nAnswer: -866, 1323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 117 - 367. What is the greatest common factor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 231639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -1\/16*a**6 + 0*a**3 + 5\/12*a**4 + 4*a**2 + 1\/24*a**5 + 0*a + 4. Let h(d) be the second derivative of f(d). Factor h(o).\nAnswer: -5*o*(o + 1)*(3*o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g - 2. Let j be h(-3). Suppose 0 = 4*x + j*z - 668, 50 = -2*x - 5*z + 384. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f + 6*f + 10*f + 8*f.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.1 * 0.03098.\nAnswer: -0.622698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 404\/44 - (-4)\/(-22). Suppose -l = 13*y - p*y - 39, 0 = -l - y + 27. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11657 or 11592?\nAnswer: 11592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/302153 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4.749478  (b) -2  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -y + 109. Let m = y + -28. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * -5.32.\nAnswer: 0.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*r = 3, 6 = -2*u + 12*r - 15*r. Let p(i) = 2*i**2 + 2*i + 386*i**3 + u - 7*i - 385*i**3. Let x(j) = -j**2 + j - 1. Give p(s) + 3*x(s).\nAnswer: s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 8, 0.1, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2. Let f(g) = g + 3 + 12 - 4. Let c(p) = -1. Let q(x) = 22*c(x) + 2*f(x). Determine q(b(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 3:37 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of (68\/7)\/((-16)\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 3*y**5 - 5*y**4\/4 + 28*y**3\/3 + 3149*y**2 - 2*y + 3405. What is the second derivative of d(w) wrt w?\nAnswer: 180*w**2 - 30*w + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -a**5\/10 - 145*a**4\/12 + 1319*a**3\/6 - a**2 - a + 272. What is the second derivative of c(i) wrt i?\nAnswer: -12*i - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4 + 37729050*d**3 + 118623094929939*d**2 - 2135224876906800*d + 9608525698339008.\nAnswer: 3*(d - 9)**2*(d + 6288184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34403 (base 15) to base 14.\nAnswer: -44850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 114 = -94. Suppose -4*n + g = 5*l, 5*n + 27 - 5 = l. Solve -f + 5*f = -l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 2. Let v = 13.1 + 2.9. Let y = v + n. What is the nearest to y in 0.3, 5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/14)\/(10*12\/(-2640)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10150 (base 6) to base 16\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -a39 (base 13) to base 8\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c - 1. Let i be s(-4). Let h be i + (-5 - -2)\/(-3). Suppose -2*u + h*p - 11 = -3*u, -5*p = -u + 20. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*2\/(-3)*-1. Suppose -6*g + 4 = -b*g. Does 16 divide (112\/(-35))\/(g\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2178*k + 4788. Does 69 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of 3*g**5\/20 - g**4\/4 - 4*g. What is the third derivative of d(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11525*o**4 - 2693*o**2 - 3 wrt o?\nAnswer: -276600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**2 - 180635135*w = 0.\nAnswer: -36127027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 5  (b) 4  (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + y. Suppose p + 0*g = -2*g - 4, 2*p + 2*g = 2. Let d(k) = 4*k**2 + 4*k - 1. What is p*f(b) - 2*d(b)?\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 903 and -3.07.\nAnswer: 899.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 428.61 + -9.61. Let z = u + -423. What is the nearest to 0 in z, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -32 - -161 - 4*1. Let z = -251\/2 + p. Sort z, -9, 0.02.\nAnswer: -9, z, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*r**3*x - 238256*r**3 + 24154*r**2*x**3 with respect to x.\nAnswer: -4*r**3 + 72462*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - -1470)*(4 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -3*o**5 + 6684*o**4 + 230787*o**3 - 140304*o**2 - 4978884*o - 4614480 = 0.\nAnswer: -34, -4, -1, 5, 2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -10.9. Which is the third biggest value?  (a) -0.5  (b) t  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55838 divided by -96.\nAnswer: -27919\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*l**3 + 22*l**3 - 117*l**3)*(1 - 1 - 1)*(-2*l + 2*l - 2*l).\nAnswer: -236*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121252 (base 6) to base 15.\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 144444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 6*j + 57. Calculate the remainder when j is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 783661706?\nAnswer: 2, 139, 367, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/9)\/(y*y\/(y*y\/(y**(-2\/55)\/y)*y)*y)*y**2\/y**(-5\/13) assuming y is positive.\nAnswer: y**(20584\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 2*u - 5. Let y be h(4). Suppose 22 = z - j, y*z + 0*z + 3*j - 42 = 0. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17966647 or 17966646?\nAnswer: 17966646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6590995, 13181990, 19772985, 26363980, 32954975, 39545970?\nAnswer: 46136965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 69 - (-17 + 56) - 77 - (-20 - -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3*n + 12, 0 = -n - 3*r + 7*r - 16. Let t be n + (-10)\/(-24)*(-4)\/(-10). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -2\/13  (c) -128897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*x**2 - 8*x**2 - 4*x**2 + 29*x**2.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1103 != -1095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/30 and -71\/163422558.\nAnswer: 817112790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 divided by 17153?\nAnswer: 354\/17153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*x + 8, -2*x - 2 = -0. Let s be 0 + (1 - (0 - 0)). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*c*g*n**3*o - c*g*n - 2*c*g*o - 3182*c*n**3*o + 55*c*n**3 + 24*g*n**2*o - 2870*g*o wrt n.\nAnswer: 48*c*g*o - 19092*c*o + 330*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -4*y - 13. Let r be f(-4). Let l be 4\/(-10) + (-3388)\/(-220). Calculate the highest common factor of l and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61578346 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 1486*x**2. Let j(u) = -1944*u**2. Give m(j(g)).\nAnswer: 5615796096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 49050\/2581 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432) + 1 + sqrt(6)\/sqrt(2) + 2 + 3.\nAnswer: 6 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 - -56.381. Let t = f - -0.019. Let s = -2 - 0. Sort t, 3, s in ascending order.\nAnswer: s, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**5 + 3*q**4 - 20*q**3 - 48*q**2 + 64*q = 0. What is q?\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 112 - 113 - (11 - ((-7 - -3) + 5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 27*w**2 - 4*w - 14. Let q be m(-8). Suppose -n = 5*z - q, 6*z - 3*n = z + 1762. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**2 - 32755*b + 32764*b + b**2.\nAnswer: -4*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r**3 - 176668*r**2 + 3985820*r wrt r.\nAnswer: 18*r - 353336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 0*h - 5*h)*(-2*h**2 - 2 + 2) - 91*h - 85*h + h**3 - 2*h**2 + 178*h + 2.\nAnswer: 7*h**3 - 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90350590 - 90350131 = 9*x for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36875974 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 12*u**2 + 5*u - 16. Let q be j(-12). Let k be q\/(-6) + (-4)\/6. Is 12 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddu when three letters picked without replacement from ujddju.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7872 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*u = 3, -5 = -5*l - u + 5. Suppose 0 = 4*z + 2*j - 14, 16 = 3*z - j - 2. Let m(f) = -1 + z - 8 + 3*f. Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 4:26 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -2 - (40 + 0 + -41).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*h = -17, 3*n + 4*h = -0*n + 14. Suppose 28*y - 6 = 22*y. Let f be (n + 5)\/(3\/y). Which is the second biggest value?  (a) -11  (b) -5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2 + 2. Is 16 a factor of 8\/(-2 + 1)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -986.4 - -986. Which is the closest to -2\/51?  (a) 0.3  (b) -3\/2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 5 = 3*l + x, 0 = 3*l - 3*x - 12. Let b(q) = -8*q**3 + 3*q + 76*q**2 - 74*q**2 + 9*q**l. Determine b(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-4*(-2 + sqrt(12)*2))**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8400\/(-32))\/35)\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 37*k - 77. Let a(o) = -66*o + 76. Determine 2*a(f) + 3*c(f).\nAnswer: -21*f - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99 - 993*l - 99 + 16*l.\nAnswer: -977*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, m: 8, t: 4}. Give prob of picking 3 t and 1 e.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00926085 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20101937, 40203875, 60305813, 80407751, 100509689, 120611627?\nAnswer: 140713565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 - 0.0914.\nAnswer: -0.4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(14)\/sqrt(28)*5.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28649193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6345, 12469, 18593, 24717, 30841, 36965?\n\"Answer: 6124*s + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.073 and 0.5.\nAnswer: 0.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (7 + (4 - (4 + -21)) - -8).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*(((a*a\/(a*a**(-5)))\/a)\/a*a)\/a*a**2)\/(a**(-2\/5))**(-2\/103))\/((a\/a**(-6)*a\/(a\/(a**(-6)*a)))\/(a**1)**5) assuming a is positive.\nAnswer: a**(5146\/515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -166462, -166481, -166512, -166555, -166610, -166677?\nAnswer: -166756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 5*a - 3. Let p be x(-6). Let j(h) = 4*h - 7. Let t be j(p). What is the units digit of (-1)\/t - (-144)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18082 = -1145*y - 44274 - 51668 for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 7:10 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 86\/8)*56\/(-21) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqtiqddt. What is prob of picking 1 d and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265 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 987302756 a multiple of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, o: 3, h: 4, x: 6}. What is prob of sequence yhyh?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t - 2074. Let i(g) = 7262*g**2. Give m(i(b)).\nAnswer: -7262*b**2 - 2074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 6*h - 15. Let a(n) = -2*n**4 - 7*n**2 + 8. Let j(d) = d**4 + 2*d**2 - 3. Let v(b) = h*a(b) + 8*j(b). Find the third derivative of v(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/2 + 52011*j**2\/2 + 104019*j\/2 + 52009\/2.\nAnswer: (j + 1)**2*(j + 52009)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**2\/9 - 157132*v\/9 + 3086308178\/9 = 0.\nAnswer: 39283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -14*p - 5. Let w(m) = -3 - 380*m + 3 + 377*m. What is w(z(o))?\nAnswer: 42*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4*o - 12, 5*g - 24 = -2*o + g. Let s(q) = 3*q. Let a(d) = d. Let h(b) = o*s(b) - 7*a(b). Let v(m) = -11*m**2. Calculate h(v(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0095015364 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen halves of a litre in millilitres?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = 4*n - 2*g, 25*n - 31*n - 74 = -5*g for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2 + 14 = -5*f, 0 = -3*f - 3*k - 12. Let l be -3*1 + (f - -8). Suppose -v + 54 = 4*x - l*x, -1 = -x. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29873 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*l + 2*i + 14, 410299*i - 410297*i = 2*l - 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + k = -3*k + 14, -6 = y - 4*k. Suppose -j - 6 = -3. Let h = j - -2. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 135*q - 26 = -136*q, i + 62 = 3*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 - 10*q**2 - 10*q + 67. Let c be t(13). Let h = c + -429. What is the smallest common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (-29 - (-49 - -5)) - (2 - -86)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of 2*j**5\/5 + j**4\/12 - 22*j**2. Let q be h(2). Let r = q - 40. Calculate the remainder when r is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - r + 20 = 0. Let a = r + -2. Solve 0 = -a*w - 15, 4*u + 2*w = 2*u - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182 times -0.1?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/120 and (-2260)\/(-144) + (8 - 20)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*t + 81 = -122 + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -6  (c) -2\/5  (d) -1.1669  (e) 0.2  (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 3*q**2 - 79*q - 59. Let m be x(-7). Solve 12 = -2*r + m*d, -2*r + 31 = 2*r + 3*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 3*z - 6*z - 430, -5*z - 5*i - 710 = 0. Let n = -13 - 0. Let c = n - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/4606317 and 34\/756261?\nAnswer: 50669487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1822987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p**3 + 2*p**2 - 2*p. Let k(o) = -4*o**3 + 3*o**2 - 3*o. Let z be (2 + 1)*(7 + -6). What is z*n(b) - 2*k(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -205?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12615 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(-2) - (-14 - 13149).\nAnswer: 5, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1732 greater than or equal to 22520\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 11:37 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 294385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w**2 + 53*w - 34. Let k be q(17). Suppose 3*m + 5*u + 10 = k, 0*u + 10 = 5*m - 5*u. Solve -15 = 5*p - m*p + 4*z, 5*p - 10 = z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -5*k + 13, 8 = -2*f - 2*f + 2*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 5. Let n = 16 + s. Sort -6, -4, n in increasing order.\nAnswer: -6, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 3:11 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 17*x + 85. Give j(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 10*c + 3092202 = 2*a, 5*a = 3*c + 9276605. What is c rounded to the nearest ten thousand?\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7479, -7570, -7635, -7662, -7639, -7554, -7395?\nAnswer: -7150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 9 - 1. Let r be ((-9)\/(-6))\/(4\/(10 + -2)). Find the second derivative of -d*a - a + 4*a**r + 2*a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*u - 1 + 1 + (14 - 1 - 8)*(3*u - 2*u + 0*u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4461, 4471, 4489, 4515?\nAnswer: 4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4480)\/2254 - 33 - (-14)\/(-1127).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - o - 414 = 0, 5609*o = c + 5607*o - 412. What is the highest common factor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 9:45 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1532489 a multiple of 511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 12411132?\nAnswer: 12411135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 244?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*j**3*l**4 - 15*j**3*l**3 - 2*j**3 - 77*j**2*l**2 + 59*j*l**3 + 3*j wrt l?\nAnswer: 48*j**3*l - 90*j**3 + 354*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/3, -7.14, 2\/3, -46, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 5*p**4 + 119*p**3 - 171*p**2 + 217*p - 71. Let w(g) = -g**4 - 28*g**3 + 43*g**2 - 54*g + 18. Let o(h) = -2*a(h) - 9*w(h). Factor o(i).\nAnswer: -(i - 10)*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (14 - (-17 - -11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 8*v - 2. Let s be p(7). List the prime factors of (18\/(-4))\/(s\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 412012849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/60 and 149\/37868736?\nAnswer: 189343680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -46, -67, -92, -121?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28174676*z**5 - 64450002*z?\nAnswer: 563493520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1826 + 12778\/7. What is the fourth biggest value in 3, -5, -0.07, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 - 8752*w - 830126.\nAnswer: -2*(w + 97)*(w + 4279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -49626 or -49625?\nAnswer: -49625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3220*n = 3096*n + 1488. Factor -248\/3*t + 28\/3 - n*t**2.\nAnswer: -4*(t + 7)*(9*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**5\/6 - 29*k**4\/24 + 853*k**3\/6 - 551*k**2. Find the first derivative of t(i) wrt i.\nAnswer: 20*i - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001372652869 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/70 and -25\/107492?\nAnswer: 537460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1115404 is divided by 368?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 182*g + 4. Let n be s(1). Suppose n = 2*o + o. Let b = o + -50. Solve x = -3*x - b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 545702, 545648, 545594, 545540, 545486, 545432?\n\"Answer: -54*s + 545756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**3\/6 + 329*a**2\/6 - 7087*a\/6 + 50179\/6 = 0 for a.\nAnswer: 19, 139\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -109*a**2*i**3 - 5401*a**2*i**2 - 11*a**2*i + 2*a*i**4 - 142*i**5 wrt i.\nAnswer: -654*a**2 + 48*a*i - 8520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 294610\/(-2550) + 110 + 5?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1238 - 685. Let z = v - -290. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3 + 19*g**2 - 12*g.\nAnswer: -g*(g - 3)*(5*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q - 4*q - 5*q - 6*q + 65.\nAnswer: -q + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 33397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1 + 2 + 2 - 6 + (2 - 2 - 2)*(-3 + 0 + 5) + 4 - 4 + 1)*(m - m**3 + m**4 + m**3).\nAnswer: -3*m**4 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**5 - 3*a**5 + 4*a**5 + (-36*a - 83*a + 21*a)*(-4*a**4 - 4*a**4 + 6*a**4).\nAnswer: 198*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9327317.0894 + -9328185. Let b = a + 868. What is b rounded to three decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1329*f - 1672*f - 5568*f**2 - 205*f**2 wrt f?\nAnswer: -11546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2. Let r(v) = v**2 - 27. Give r(t(w)).\nAnswer: w**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 524 = 26. Let r = m - -117. Suppose -2*l + b = -r, 0 = 5*l - b - 3 - 10. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 984805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/3060 and -25\/1836.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, w: 11}. Give prob of picking 3 g.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.067 and -5.073262.\nAnswer: -5.140262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 18980 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 0, 3, 1240 in decreasing order.\nAnswer: 1240, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(5\/3)*p)**(-25)\/((p*p\/(p\/((p*p**(3\/16))\/p*p)))\/(p**(-41)*p)) assuming p is positive.\nAnswer: p**(-7625\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 728 = 532. Let a = -174 - q. Suppose w + 2*w - a = 0. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(1*-2*12\/64). Let r(k) = 3*k**2 + 8*k + 29. Is 19 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-9) + 188\/36. Suppose -z*p + 17 = 2. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xofodddddxdoffood. What is prob of picking 2 d?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 12 = -2*q. Let j = 16 + q. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 5*j + 4*g + 40, 0 = -3*j + 3*g + 66. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1033924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1235 and 9607.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28791659 <= 28791659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 136*x + 2232. Determine r(-116).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 430566283 and 98?\nAnswer: 861132566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 11, 118 in descending order.\nAnswer: 118, 11, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 337184848 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (27*k + 33*k + 64*k)*(0 + 0 + 2)*(-42*k + 5*k - 14*k) as c*k + p*k**2 + n and give p.\nAnswer: -12648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*b**5 + 53*b**4*o + b**2*o + 2*b - 433*o wrt b?\nAnswer: 720*b**2 + 1272*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 7*c**2 - 9*c - 1. What is the remainder when 134\/201*237\/2 is divided by v(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - -4)\/(4\/(9 + -5)). Suppose -3*q - 3*g - 124 = -775, -q + r*g + 199 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 PM and 7:16 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -229222045*a**2 - 1548*a - 8532.\nAnswer: -458444090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -1. Let f(m) = m - 2. Suppose -2*w - 13 = 11. Let n be (-28)\/(-8)*w\/(-21). What is n*b(q) + f(q)?\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 46  (b) -0.5  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -95 + 160214?\nAnswer: 16014c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -250185, -250182, -250179, -250176, -250173?\n\"Answer: 3*j - 250188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000149787 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4977, 4988, 4999, 5010?\n\"Answer: 11*t + 4966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -119, -74, 5, -7 in decreasing order.\nAnswer: 5, -7, -74, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 538 = m, 429*m = 427*m + k + 1022. Calculate the highest common factor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.07 - 5. Let l = a + 1.83. Let u = l - 2. Is -0.1 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10448.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3488?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 13*r. Let s(w) = 10283*w**2. Calculate p(s(u)).\nAnswer: 133679*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*j + 68 + 112 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51763 and 55067438.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -9, 7, 29, 57, 91, 131?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= 352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12, -41, -190, -483, -968, -1693, -2706, -4055?\n\"Answer: -8*n**3 + 3*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -28.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 2 + -1 + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2351288 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*j + 111*j + 65*j.\nAnswer: 119*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwqwwwwwqwwwwwwww. What is prob of sequence qww?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 369 and 1476.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 7:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 164 = 16. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6083 + 6078. Suppose 14 = 2*h + 2*u, 0*u + 1 = -u. Sort -3, h, v in ascending order.\nAnswer: v, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - 0*3\/9. Let h = 0 - f. Solve 4 = -2*k, -7*k = -5*w - h*k - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 98*s**2 - 2341*s - 213. Calculate k(24).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -741*d**2*g**3*w**2 - 3*d**2*g**2*w + 7*d*g**3*m**3 - 14*d*g**2*m**3*w + 6*d*g**2*m**3 - 23*g*m*w**2 wrt g.\nAnswer: -4446*d**2*w**2 + 42*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.4, -0.1, 3, 0.067, -3\/305, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 + 10*r + 1. Is h(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 822768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1010021022122 (base 3) to base 6\nAnswer: -20434242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.4  (c) 0.3  (d) -2\/7  (e) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 77. Let f(q) = 5*q**2 + 6*q + 53. Let t(m) = 2*m**2 + 4*m + 25. Let w(a) = 3*f(a) - 7*t(a). Give w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 523*u + 518*u + 9 = 0, 5*u = 4*i - 7 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 4, -7, -57, -4 in descending order.\nAnswer: 4, -4, -6, -7, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 153, 201, 225, 219, 177, 93?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of 1\/10*l**5 + 9*l**2 + 0 + 0*l + 0*l**4 + 0*l**3 - 1\/120*l**6. Find the third derivative of n(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64910 by 12790.\nAnswer: -6491\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -884*z + 978. What is c(1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r + 6 = 9*r + o + 3 - 3, 0 = -3*r + 119*o + 467*o - 3513 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 4\/3, -453\/22 in descending order.\nAnswer: 4\/3, 0, -5, -453\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4*-3857\nAnswer: 15428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 121909589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61 and 786229.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-165)\/(-20) - (-9)\/12 - 1. Suppose 570 + 10478 = t*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8816 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*y - 2*i = -38*y + 36, -2*y + 30 = 5*i. Solve y = -6*w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18 - -8) + (9 - 0))\/(36\/36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -26, -47, -68, -89, -110?\n\"Answer: -21*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(38) + sqrt(76)\/sqrt(2))*-6)\/sqrt(32) + (2 + (sqrt(19) - (3 + -4*sqrt(19))))*-2)**2.\nAnswer: -52*sqrt(19) + 3215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (5 - (2 + 0)) + 31495 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (30 + 16 - 10)*(-2 + 4 - 4)*(-3*g**2 + 2*g**4 + 3*g**2) as j + c*g**4 + m*g**2 + z*g + i*g**3 and give c.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -11*n + 7*n. Let p(u) be the first derivative of 0*u**2 + 0*u + 0*u**3 - 2 - 1\/10*u**n. What is g in p(g) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - 2202?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*f**2 - 35*f = 0. Calculate f.\nAnswer: 0, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5556, 11069, 16580, 22089, 27596?\nAnswer: 33101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 1. What is the closest to -0.4 in -3\/7, -1\/2, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13592783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00008668686962 to six decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1757376?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 747037400 - 2519010133879\/3372. Let r = -1\/843 - z. Calculate the common denominator of r and (-2)\/2 + 2\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49739, -49737, -49725, -49697, -49647, -49569, -49457, -49305?\nAnswer: -49107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*k + 38 = -12*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -2*(-9239)\/18 + (-56)\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 0.034\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uooh when four letters picked without replacement from ihhouooogogo.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -7*o - 5. Let v(i) = 11*i + 8. Let y(d) = -8*q(d) - 5*v(d). Let j(p) = -3*p**2 + 24. Give y(j(f)).\nAnswer: -3*f**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -28, -3.\nAnswer: -28, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -3. Let k(l) = l**3 - 13*l**2 - 17*l + 47. Let x be k(f). Let y = 0 + -0.4. Which is the nearest to -1\/3?  (a) x  (b) y  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.02 + 0.08. Let x = -23 + 68\/3. Let p = 0.4 + -0.7. Sort f, x, p.\nAnswer: x, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 137457, 274899, 412341?\nAnswer: 549783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of 5*k**9\/3024 + k**6\/360 - k**3\/3 + k. Let g(u) be the second derivative of i(u). Find the third derivative of g(r) wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 16.3\nAnswer: 65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 p, 1 r, and 1 d when four letters picked without replacement from {k: 2, r: 1, p: 1, z: 5, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -14268 (base 11) to base 4\nAnswer: -10330321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*o = -43 - 55 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/((-140)\/(-15))*48. Suppose -4*d + 13*d = b. Solve n - d*n = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 31*b**2 + 31*b - 52. Determine r(-32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (342\/(-69768))\/(1\/(-8))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 50?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5.1 times 448\nAnswer: -2284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110 is divided by (208\/(-39))\/((-3)\/(45\/2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.02 + -6. Let f = 0.18 + p. Which is the second biggest value?  (a) f  (b) 5\/4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of m**5\/60 + 67*m**2 + 1. Let s(j) = 7*j**2. Give -5*c(q) + s(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, v: 3, o: 2}. Give prob of sequence ovov.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -63*i**2 - 89*i + 151. Differentiate v(j) wrt j.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 435 and 166841060?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -175\/4*f**3 - 5\/2 + 93\/4*f - 45*f**2.\nAnswer: -(5*f - 1)**2*(7*f + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21442 and 2407968763.\nAnswer: 10721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-4 + sqrt(5) + -3*sqrt(5) + sqrt(5) - (sqrt(5) + 0)*5)*-6)*-1*-6.\nAnswer: 156 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 97 = 8. Let c(f) = f**2 + 13*f + 36. Let y be c(-4). Suppose -4*d - 39 + 275 = y. What is the remainder when d is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, w: 8, u: 2}. What is prob of picking 2 r and 2 u?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8704358999209 minus -0.058?\nAnswer: 8704358999209.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.2, -1\/3, -2\/45, 0, -23\/4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 0*(-1 - -2). Suppose 7 = i*b - 95. Calculate the greatest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 10*k - 7. Let v be a(-9). What is the common denominator of ((-1)\/20)\/(26\/364) and (0 - v) + 116\/40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*i**2*n**2 + i**2 + i*n**2 + i - 7*n**2 wrt i?\nAnswer: 22*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93ad1 (base 14) to base 13.\nAnswer: -c612a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 651 + -650. Let m be -13 - -8 - (-3 + (3 - 4)). What is the nearest to m in -0.3, 3, 0.5, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 21*s + 22. Let y be j(-19). Let a = y + -17. Round a to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*r - 17039, -9*r - 2*v + 17054 = -5*r. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 88  (c) 1\/4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4141023258 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 6:03 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/1)\/(((-22)\/(-11))\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 3*o - 6322, -o - 16258 = -5*z + 15416. List the prime factors of z.\nAnswer: 2, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddmddmvmdvmmddmmmd. Give prob of picking 2 v and 1 m.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -0.04  (c) -0.1  (d) 4  (e) 2  (f) -1420\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7456, -28999, -64904, -115171, -179800?\n\"Answer: -7181*d**2 - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 183*k + 449. Is u(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 - 29. Suppose -5*v = 3*m - 5, 2*v - m - 23 = x*m. Solve 3*o - 2*o + v = u, 2*u = 4*o + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -121 + 225. Let d = x - 104.069. What is d rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 20, 11, -10, -49, -112?\n\"Answer: -w**3 - 2*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -15. Let o be 12\/7 + (-2)\/j. Solve -7 = -3*u - 2*u + o*t, -5*t + 20 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -229*-6.\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 6:30 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1\/16, -1\/3, -3, -5 in decreasing order.\nAnswer: 1\/16, 0, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(-3\/2))**(-4))**(2\/135))**(-2\/87) assuming d is positive.\nAnswer: d**(8\/2349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.94 - 0.04. Let s = 577.1 + -583. Let k = u + s. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10.58 + 11.17. What is the nearest to k in -2\/3, -5\/4, 2\/13, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -0.4, -927, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.8 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1839, 7363, 16569, 29457, 46027, 66279?\n\"Answer: 1841*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a + 3*a - 6*a)*(3 - 1 + 2) + a + a - 4*a + 0 - 4*a + 0 + 13*a + 26*a - 4*a to y*a + o and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138 - 25 = -19*j - 172 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3299.612ml?\nAnswer: 3.299612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 71.95141 to 0 decimal places.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z**3 - z**2 - z + 1. Suppose 4*h + 2 + 6 = 0. Let a be t(h). Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*168\/(-32) + 7. Solve -24*l = -z*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -2, -2135\/2, 4 in decreasing order.\nAnswer: 4, -1\/6, -2, -2135\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -65. Let i = -17 + b. Are -22 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/4  (b) 5  (c) 2\/23  (d) -3\/7  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1314133 - 2022144?\nAnswer: -3341332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 4. What is the second derivative of 0*x**3 + 2*x**3 - 6*x**2 - x + j*x**2 wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9080 - -82264.34877.\nAnswer: 73184.34877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17 or 0.14?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2201 - -74574?\nAnswer: 76775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.13 and -16\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*h = 85. Suppose -4*w = -149 + h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-2)\/20*-5) + 6. List the prime factors of 14*((-702)\/(-24) + (-1)\/x).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -9*d**2 + 0*d - 4 - 1\/2*d**3 - 1\/60*d**5 - 7\/24*d**4. What is o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 59*l - 8268. Let d(k) = -71*k + 8266. Calculate 5*d(c) + 6*j(c).\nAnswer: -c - 8278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -304056684005774 + -4?\nAnswer: -304056684005778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*t - 3756 = -3540 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1373031 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -100933  (b) -108  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 0 - 3\/2*v**2 - 2*v + 1\/20*v**5 + 1\/6*v**3 + 1\/2*v**4. Let j be g(-4). Solve -m - 1 = 5*p - 6, -5*m - 4*p = -j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 433 divide 878239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 79 - 76 - (-2 + -1) and 184?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 304333797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - -35a95?\nAnswer: 35a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.3669948 weeks?\nAnswer: 221958455040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 13*g - 5. Let v be r(15). List the prime factors of v + (1 - 4 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -683936607 or -1?\nAnswer: -683936607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 108381011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 61.396374 + -61.34. Round j to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**4 + 4*b**4 - 7*b**4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from oowowoowowouwuowojj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.8  (b) -0.6  (c) 8  (d) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -121, -293, -595, -1069, -1757, -2701?\nAnswer: -3943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(24*j + 0*j - j)*(2 - 2*j**2 - 2).\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + (-1 - -47) + -25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 11020 = -2*t + 4*f, -5*t + 4*f + 18356 = 0. Suppose -82*u + 88*u - t = 0. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 4\/7, 0.1, 177\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1757426\/41 or -42863?\nAnswer: -42863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1113 is divided by (10\/(-30) + -3)*66\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1952325 + 5222469243\/2675. Let l = -1\/107 - y. Let u = -4 - -3. Is l at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49139 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1091679053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 20 - 12, a = -4*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21) + -3*(2*sqrt(21) - sqrt(21)) - sqrt(756)*1)\/((sqrt(2401)*-2)\/((sqrt(168)\/sqrt(3))\/sqrt(8))))**2.\nAnswer: 48\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111 + -62. Calculate the remainder when 143 is divided by o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -6*m - 3. Let x be 345\/3 + -3 + 2 + 0. Let r(t) = -x*t + 1 + 118*t + 1. Give 5*a(k) + 7*r(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 1 + 3 = -b, 0 = p + 5. Suppose 6*s + x = 7*s - 240, -736 = -b*s - x. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2*i**2 + 5. Let l(g) = 2*g**2 - 6. What is -6*b(o) - 5*l(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 180 - 94 + 26*r**2 - 86.\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, g: 1, k: 1, r: 2, c: 1, a: 1}. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -3*u + c - 2*c, 4*c = 2*u + 40. Let q be 10\/(-25) + u\/(-25). Is 1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 19*s + 67. Let v be u(-5). Which is the biggest value?  (a) v  (b) 0.31  (c) -1\/3  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**1*g*g)**(-3\/17)\/(g**(1\/7)*g\/g**(-2\/25)) assuming g is positive.\nAnswer: g**(-5738\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -69 - -84. Suppose 3*h + 12 = -5*k + 35, -c = -3*h + 3*k. Suppose -12 = -3*a, -h*u - 5*a + 4015 = -u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/36779433, 2, -4, -1\/3?\nAnswer: 2\/36779433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -4*m - 15. Suppose 0 = -25*p + 20*p + 540. Let k = 113 - p. Let f(x) = 14*x - 17*x + k*x + 7. Calculate 13*f(a) + 6*r(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + 12*k - 8. Let d be m(0). Which is the closest to 2\/9?  (a) 0.5  (b) 2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 10:55 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 1 = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3978.9 and 3.3.\nAnswer: -13130.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 63\/(-42)*((-949)\/3 + 1). Suppose -5*p + 9*f - 5*f = -r, 4*p + f = 370. Let t(o) = 3*o**2 - 6*o + 2. Calculate the remainder when p is divided by t(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*w**2\/13 - 38*w\/13 - 8\/13 = 0. What is w?\nAnswer: -1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 1. Let k be ((324\/210)\/(-27))\/(2\/(-10)). Which is the fourth biggest value?  (a) -2  (b) -20  (c) k  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 4*w + 11. Let s be z(6). Let t = 142 - s. Suppose 5*k - t = 130. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 + (-129)\/27)\/((-105)\/(-27)). What is the nearest to -0.03 in 3\/2, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1049136 and 5808?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/131047872 and 35\/25632?\nAnswer: 393143616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 851999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00048302897 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/154 and -57\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 31*z + 594. Let u be d(-19). Let w(x) be the first derivative of x**4\/4 - 5*x**3\/3 + x**2 - 7*x + 1. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - (6*sqrt(66)*-4 + sqrt(66))) + sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2*h - 41. Let x be k(-22). Solve -x*v = -2*u + 16, -5*u - 5*v = -3*v - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -40. Let v be 4\/3*21\/t. Suppose 3*y - 4*y = 3*p, v*y = p. Solve 0 = -p*g + g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-29)*w*w**1)\/(w**(1\/8)\/(w*w*w\/(w*w**12))) assuming w is positive.\nAnswer: w**(-297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15976 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**4*c - 390*b**4 - 234*b**2*c + 2411120*b*c - b wrt b?\nAnswer: -12*b**2*c - 4680*b**2 - 468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 PM and 10:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/12 - 1)*(-12)\/(-30). What is the nearest to 3\/2 in -0.1, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -7*v**3 - 13*v**2 + 10*v + 10. Let b(u) = -u**3 - u**2. Let s(y) = 6*b(y) - n(y). What is s(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4435, -4\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.01*-49\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 434277 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -1. Suppose 2*k = -4*u + 62, l*k + 3*u + 0*u = 62. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(1\/3)*k)**41*k**(4\/7)*k**(2\/5) assuming k is positive.\nAnswer: k**(10147\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2232 divided by -124.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - u + 5 = 0, -89 = 4*u - 85 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 3. Let z be o(-9). Let k = 2 + z. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 82356959 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27032350 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 z, and 2 e when four letters picked without replacement from {z: 1, h: 1, e: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 2:01 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, 92, 84, 78, 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.0285933+5.082\nAnswer: 5.1105933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 17 + 26562?\nAnswer: 26579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-3)\/(3*1\/(-4))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 426307 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.033318631 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 67028 - 5315 = 5*t, 5*x + 15 = 0. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 3*f**2 + 7)*(-3*f**2 + 12*f - 12*f) as d*f**2 + o*f**4 + r*f**3 + v*f + n and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 20*b**2 + 76*b + 22. Let y be i(-15). Put y, 1, 2, -7 in increasing order.\nAnswer: -7, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -5, 17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 - -30. Let m be ((-16)\/(-20))\/((6\/t)\/(-3)). Solve 4*f - m*a = 8*f - 18, 3*f + 5*a = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 216926410*m**6 + 7701483*m**2 - 3*m - 3 wrt m?\nAnswer: 26031169200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16258 + 16269. Which is the second biggest value?  (a) n  (b) -9  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 + 10*z + 36. Let c be l(-15). Let y = 490 - c. What is the second derivative of y*w**2 - 13 - 194*w**2 + 13 - 41*w wrt w?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2968924, 2, 1 in descending order.\nAnswer: 2, 1, -2968924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 204405\/2 - 52939979\/518. Let c = l - 12\/7. Let z be (44\/32 - 14\/(-112))*1. Put c, 2\/11, z in increasing order.\nAnswer: c, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 2. Let y be k(-2). Let b = 97.5 - 98. What is the second biggest value in y, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142822 is divided by 71405?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/144 and 53\/10237656?\nAnswer: 61425936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 3*j - 13, 4*j - 3 = i - 19. Suppose -4*p - 3*z + 4873 = -4*z, 2*z + 2438 = 2*p. Suppose i*o + 3*o = p. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 8*i - 46. Let m be f(6). Suppose 0 = -19*c + 5*c + 42. Solve -m*r + d = c*d, -2 = -r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 13) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 - 7*p + 7. What are the prime factors of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -19*x - 4. Let g(h) = -29*h - 6. Determine -5*g(o) + 8*w(o).\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -37.78 plus 366240.74?\nAnswer: 366202.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 9, -3*y + 8*y - 2*r = 569. Let -y*s**3 - 84*s**3 + 16*s**4 - 532*s**2 - 388*s - 72 + 11*s**3 + 12*s**4 = 0. What is s?\nAnswer: -1, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 186 divide 1111225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 7 + 24*b + 23*b + b**2 - 49*b. Let l be i(5). Solve -3*p + 8 + 6 = -5*r, -l = 5*p + 3*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5321779 is divided by 922.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6.1429*-37\nAnswer: -227.2873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4*d - 5. Let q(g) = 16*g + 20. Let w = 5731 - 5729. Determine w*q(b) + 9*u(b).\nAnswer: -4*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -7*i - 2. Let d(t) = 20*t + 4. Determine 3*d(x) + 8*j(x).\nAnswer: 4*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -4*z**3 + 2*z**2 - 4. Let x(s) = s**2. Let r(f) = w(f) + 8*x(f). Find the second derivative of r(j) wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 836*y + 11710. What is g(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*u**3 + 37413*u**2 - 121710*u + 28089.\nAnswer: 3*(u - 3)*(u + 3121)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/15768 and -5\/42817128.\nAnswer: 385354152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.92 - -0.08. Let z = 4\/19 + -89\/152. Let h be (-9)\/21*4\/6. Which is the closest to h?  (a) p  (b) -0.1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(171)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: -10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23.2 - 22.2. Which is the nearest to 3?  (a) -17  (b) 0.3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (204\/(-136))\/(6\/(-36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*-4*(-1)\/12. Suppose 3*o - 8*o + 65 = c. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/30)\/((-6)\/(-15)). Let g = 24.4 + -33.8. Let q = 9.47 + g. Sort m, q, 1\/3.\nAnswer: q, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/5*i**5 + 2*i**4 + 0 - 16\/5*i**3 + 0*i + 8\/5*i**2 = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 8*d**2 + d + 10. Let h be f(-8). Let x be h + 7 + (-2)\/1. Let a(c) = c**3 - 6*c**2 - 7*c - 3. What is a(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20413827*s*x**2 - 8133*x**2 - 18*x + 14 wrt s?\nAnswer: 20413827*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11.41133288 * -0.2\nAnswer: -2.282266576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 65926*j**5*x - j**4*x**2 + 3*j*x**2 + 94*j*x - 3*x**2 - 2 wrt j.\nAnswer: 1318520*j**3*x - 12*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.11, -167, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -176 + 3?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -154, 2\/11, -4, -2 in decreasing order.\nAnswer: 2\/11, -2, -4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zocygkozkzgz. Give prob of sequence ygg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-5)\/p**8)\/(p*p**1*p)**(37\/4))\/((p**(2\/3))**9\/((p\/p**(-1\/3))\/p)**34) assuming p is positive.\nAnswer: p**(-425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, c: 4, n: 2}. Give prob of picking 1 h, 2 c, and 1 n.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 a factor of 1241229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*1 + 147\/84?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6717\/17 + -395. Suppose 9*a = 8*a + 4*p - 359, -1037 = 3*a - 2*p. Let w = a - -1028\/3. Sort 3\/4, w, o in increasing order.\nAnswer: w, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3\/574 + 625\/9758. What is the nearest to u in -0.4, 3, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1285*m - 1210*m - 2175 = 0 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2.7, -1, -2, -11678, -4\/7, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) + 1)**2*-4 - (sqrt(242) + 2)) + -1*(sqrt(300)*2)\/sqrt(6).\nAnswer: -29*sqrt(2) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-11 - (-11 - -16))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1498765714 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 9:48 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - -1*sqrt(117)*6 - sqrt(117)) + sqrt(117) + sqrt(117))\/(sqrt(225) - sqrt(225)*-1).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8419 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 567 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3640*p - 3796*p = 1223 + 2209 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 150884?\nAnswer: -1\/75442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12500)\/56250*(-2673)\/6.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 21374419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 863284613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 6 = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b**3*u**3 - b**3*u - 2*b**3 + 17588*b**2*u**2 + b**2*u - 21430*u**3 - 4*u wrt u?\nAnswer: -6*b**3 - 128580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0)**31*t*t*t\/(t**6*t*t)*t*t*t**(1\/5)\/t)\/((t\/(t*t\/t**(-1\/4)*t*t)*t)**(-4\/5))**24 assuming t is positive.\nAnswer: t**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 4. Let o be a\/(4\/(-20)) - 1. Solve 0*b - o*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 10. Let f = 4.9968 - i. Round f to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31090, -62398, -93706, -125014, -156322?\nAnswer: -187630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d + 4*v - 22, 11 = 5*d + 20*v - 19*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -695 by 4.\nAnswer: -695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8474383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -68 + 68. Solve i = -3*h - 5*t + 11, 4*h - 3*h = 4*t - 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250926485 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 19*a**2 + 22*a + 26. What is k(18)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 211 + (-216513)\/972 - (0 + -2).\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5\/4, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, u: 1, r: 1, v: 3, b: 1}. Give prob of picking 1 i and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4276, 8374, 12472, 16564, 20644, 24706, 28744?\n\"Answer: -z**3 + 6*z**2 + 4087*z + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**4\/6 + k. Let h(z) = 18*z**2. Calculate h(x(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 10 = -5*i, -4*i = -5*b + 6 + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22292 + 11150 + 306*a**2 + 11142 + (-3 + 2*a**2 + 3)*(-1 - 3 + 3).\nAnswer: 304*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1.71, -0.5, -107, 1?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -71.1146 + 0.2146. Which is greater: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 + 16*x + 24. Let v(s) = -s**2 - 34*s - 49. Let q(d) = 9*h(d) + 4*v(d). What is the hundreds digit of q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-1)\/(19\/19)*3575\/286.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 10:28 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/1890)\/(4\/6). Let p(t) = -t**3 + 24*t - 23. Let l be p(1). Which is bigger: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 397 + 831 = s + 413, -3*q = 2*s + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/4 of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2224 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -7, -71466\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3177 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*f - 372384 = 671957 - 85359. What is the least common multiple of 83 and f?\nAnswer: 4399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(63) + 0 + -3 + sqrt(63))**2 - (1*(-1*sqrt(63))**2 - sqrt(63))) + 4 + ((sqrt(63)*-2 + sqrt(63) - sqrt(63))*-5)**2).\nAnswer: -32510 + 165*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -3. Let b = -897 + 893. Let i = 23\/5 + -4. What is the third biggest value in b, t, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((2 + -1 - 3) + (31 - 26))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -488*m + 487*m. Suppose -2*n + 6*n - 100 = 0. What is the remainder when n is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.04950383 less than -0.06?\nAnswer: -29.10950383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -307 - -1128. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -564, -0.2, -1?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -2*w - 64. Let k = w - 30. Suppose 114 = k*d - 28. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*j + 4 - 4)*(257 + 269 + 55 - 192 + 212) as w + k*j and give k.\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2*v**3 + 7*v**2 - 2*v - 42. What is y(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 58648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149408172.\nAnswer: 2, 3, 17, 19, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 1 - 1)*(-43*r**2 - 25*r + 49*r - 26*r).\nAnswer: 43*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -9. Let l be 48\/(-2)*(-1)\/2. Let p = -6 + l. Solve 4*s + f = -p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9956*c**2*q - 35*c**2 + 435*c*q + 18957*c + 2*q + 44 wrt q?\nAnswer: -9956*c**2 + 435*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t - 92. Let n be u(-23). Suppose -v + n*v - 4 = 0, -5*y + 3*v = -222. What is the greatest common divisor of 126 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 7*q**2 - 2*q + 10. Let i(o) = 7*o**2 - 4*o + 22 + 5*o**2 - 1 + 8*o**2 - 5*o**2. What is -6*i(t) + 13*w(t)?\nAnswer: t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 5. Let y be (-15)\/(-4) - (-1)\/x. What is the second derivative of -2*v**2 + 2*v + 116 - 116 + y*v wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001501751 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 126*a**2*m*r**3 - 47*a**2*r**3 + 2*a*m*r**3 - a*r**3 wrt m?\nAnswer: 126*a**2*r**3 + 2*a*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19.93 + 18. Let q = -0.07 + b. Is -2 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 3:17 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30329 at most as big as 30280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -973 - -2001\/2. Find the common denominator of v and 1 + -4 + (-75)\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 12 = 2*a, -2*m = 4*a - 32 + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 9999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2751 + 3096 = y. Solve -4*d = -73 + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3579 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 5922*m + 2.\nAnswer: -5922*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24536, 49075, 73614, 98153, 122692, 147231?\nAnswer: 171770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -57, -4, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of -7*b**3\/6 - 19*b**2\/2 - 4*b. Is c(-8) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - 36 - -2 - (12 + -6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.770899 take away 7284.698?\nAnswer: -7290.468899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.010132*1\nAnswer: -0.010132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2\/i)**(2\/17)*(i*i\/i**(-1\/2))**(-22\/5) assuming i is positive.\nAnswer: i**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -30.4631.\nAnswer: 121.8524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/7 + 725*l\/7 + 181\/7.\nAnswer: (l + 181)*(4*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from mmmmmmmmammmm.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10.09 in 1\/7, 5, -12, 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-3))\/m*(m**26\/m)\/m*(m\/(m*m\/m**(-6\/11)))**(10\/9) assuming m is positive.\nAnswer: m**(2503\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*b + 3*x - 11, -2*b - 7 = x. Sort 4, 1, b in decreasing order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2351675256 divided by 41994201\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (30\/20)\/(((-124)\/(-1798))\/((-24)\/(-18)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 188 = 4*v - 6*j, 0 = 2*j - 6. Let x be v\/8*2\/1. Let r = -1 - x. What is the greatest common divisor of 90 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {h: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 + 5*j**2 + 3*j - 6. Let z(k) = 2*k**3 - 11*k**2 - 7*k + 11. Calculate 5*l(y) + 2*z(y).\nAnswer: -y**3 + 3*y**2 + y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/15631020 and 123\/12157460?\nAnswer: 109417140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1.8766  (b) 0.3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300*n**5 + 23985*n**4 - 349932*n**3 + 574431*n**2 - 297756*n + 48972 = 0. What is n?\nAnswer: -371\/4, 2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 793+-1389\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-27)*-8*4*45\/(-570)*-19.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**3 + 3902*h**2 + 1301*h = 0. What is h?\nAnswer: -1\/3, 0, 1301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4901 - -1264. What is h rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 4*t - 3. Let k be y(-2). Let w = 5 - k. Suppose w*b - 49 = 135. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + k - 19, -33 = -2*l + 5*k + 33. Let i = 33 - l. Suppose 2 - i = -4*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.091 - -40.909. Let r = w - 154. Let d = -113.0000055 - r. Round d to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - s = 34758, 4*d - 4*s = 7*d - 26078. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1  (b) -101  (c) 158  (d) -3\/7  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2116772 and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -7*t**3 + 3*t**2 + 2*t. What is b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 5*r + 63 + 76 = -6, 3*q - 2*r + 0*r - 56 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 0*l + l)*(-5*l + l + 3*l)*(2698*l**3 + 1485*l**3 - 787*l**3).\nAnswer: 3396*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.15*-49\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 3) + 3822\/819?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1234919 and 2.4.\nAnswer: 2963805.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 5*k - 1. Let u be g(4). Let r be (-34)\/170 + (-2)\/(-10) + 12. Solve -v - u*v = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1837 and 671632.36.\nAnswer: 671632.1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: -3 - (-1 + (4 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -248c (base 14) in base 7?\nAnswer: -24435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10311 or 10315?\nAnswer: 10311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 100 + -3?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 332287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 6*k**2 - 3*k - 10. Let d be t(5). Let w be 2*(3 + -2 + d). Let a be (6 - 6)\/(3 - w). Solve 0 = -5*u - 2*m - 18, -u = -a*u - m - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10\/7 in -2, 108442, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -24670 - c57?\nAnswer: -254c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iqnnbqinnnnb. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 5:35 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005325215 rounded to 6 dps?\nAnswer: -0.000533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 296 and 88.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 1.1372  (b) 123  (c) 2  (d) 0.2  (e) -5  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of n**3\/3 + n**2\/2 - 4*n + 4535. Give k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of x**6\/600 - x**5\/100 + x**4\/40 - x**3\/30 - 5*x**2. Factor o(n).\nAnswer: (n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4 - 300*a**3 - 290*a**2 + 300*a + 295.\nAnswer: -5*(a - 1)*(a + 1)**2*(a + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -498 divided by 6\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - g - 10 = 0, -y + 3 = g. Let v be 9*(y - (-30)\/9). Suppose -v + 42 = 5*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3*f + 1 - 13 = 0, -5*g + 3*f + 12 = 0. Suppose g*i = -3*i. Suppose 3*m = -i*m + 69. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 105 = -4*i, -20 - 22 = 3*x - 6*i + 39 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4402493 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13034 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.134 + 4.650497.\nAnswer: 4.516497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45998835293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 2*c**2 + 3*c - 3. Let q be v(-2). Let n(d) = -d**2 - 7*d - 3. Determine n(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2 = 4*q - 0*q, 5*q - 5*i + 15 = 0. Suppose 6 = -2*u + 16. What is the lowest common multiple of q and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*2)**2 - (2 + (sqrt(7) - (sqrt(63) - sqrt(7)))).\nAnswer: sqrt(7) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 642059.5 millennia in centuries?\nAnswer: 6420595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -13870614.\nAnswer: -4161184.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*(-2 + sqrt(200) + 4 + sqrt(200) + 2)**2*-6.\nAnswer: -29376 - 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*o + o = -117, -4*o + 48 = 2*i. Let m = -101 + 106. Suppose -2*n + 191 + i = -5*g, 5*g + 545 = m*n. Is 36 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**2\/4 + 1188*b + 11805 = 0. Calculate b.\nAnswer: -1574, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0*s**2 + 0*s**2 - 7*s**3 + 25*s**3 - 16*s**3.\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 5. Let w be (-3 + q)\/(3 + -2). Solve w = -f + 1 - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(0 + sqrt(11)*3))**2*-2.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -165.4 - -165. Which is the fourth biggest value?  (a) -2\/11  (b) s  (c) -4\/7  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*z - 1343 = -22*z - 218. Calculate the lowest common multiple of z and 4089.\nAnswer: 20445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 264928662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 6)*(0 + 2*d + 0).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 40\/(4\/(-2)) + -1. Suppose -6*g + 120 = -2*g. Let t = i + g. What is the remainder when 35 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -4\/17, -13345\/9?\nAnswer: -13345\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2*b = -39. Suppose -3*w + 20 = -2*y, y = -61*w + 66*w - 24. What is the remainder when b is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -27.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*g + 9. Let d(f) = f**2 - 7*f + 9. Let n be d(6). Suppose -n = 4*v + 3*o, 2*v - o + 1 = 2. Sort g, v, -5.\nAnswer: -5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 5, z: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*n + 31, -33*n - 2*p + 17 = -28*n. What is the fourth biggest value in n, -1\/2, 60, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 476\/(-8)*(-28)\/98. Solve 0 = v + x - 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -1\/10  (c) 115861  (d) -0.01  (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.66 + -0.56. Let u = -1171\/14042 + -2\/413. Let p = -237\/374 - u. Which is greater: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 230*r**2 + 9*r + 8. What are the prime factors of m(-2)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 32*o + 2. Let r be d(11). What is the first derivative of -r - 69*x**4 + 176 + x - x wrt x?\nAnswer: -276*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 7 = 4*t. Sort -1, t, -4 in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l + 5. Let n(s) = -s - 2. Let k(i) = -6*d(i) - 15*n(i). Let o(v) be the second derivative of v**4\/12 - 2*v. What is k(o(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 727622 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1230322411 (base 5) to base 16.\nAnswer: -2d7793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5\/4, 0.46, 0.3, 0.022?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*p + 65. Suppose 3*m - 34 = p. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaaaiaaamamaaaw. What is prob of picking 1 a and 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 + q**2 - 41*q**4 - 23 + 75 - 28 + 0*q**2 to the form x + r*q**2 + z*q**3 + n*q**4 + t*q and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z\/(z*(z**(-13)*z)\/z))\/(z*z*z*z\/z**(1\/2)))**(1\/36)*(z**(1\/13)*z**10\/z)**(-2\/91) assuming z is positive.\nAnswer: z**(10217\/85176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1307 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-273)\/(-130)*10 - 12 and 1119?\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 123255*k + 1725555. Calculate u(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14450818243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 664 - 136?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32641180.\nAnswer: 2, 5, 11, 13, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeezeeezeeze. Give prob of picking 1 z and 2 e.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 1:01 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 40 = 4*w, 47*s + 18 = 5*w + 50*s for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17786 is divided by 17073.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -259199?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 970962468?\nAnswer: 2, 3, 7, 2531, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 0) + 6\/(-6). Sort q, 4, -1 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*y**4 - 5*y**5 - 1390*y**2 - 485*y**3 - 226 - 774 - 487*y - 1413*y = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13541 + 13949. Solve -13*f - v + 317 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 + 12*o - 18. Give m(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -1.05?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -8*r**3 + 12*r + 13. Determine p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*g**2*n - g**2 + 6*g*n - 4*n + 52 wrt g.\nAnswer: -14*g*n - 2*g + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/((-5)\/(-1))*6\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*h - 256 = -35*h. Is h equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*q = 37*o - 268*q + 163, 0 = -4*q + 52 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2000318 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-566)\/1132)\/((-70)\/(-4)))\/(3\/(-30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-233*m + 55*m - 275*m)*(0 + 3 - 5) - 5*m + 4*m + 3*m to u*m + g and give u.\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 6 = 4*o. Let b = -7 - -7. Sort o, b, -1 in decreasing order.\nAnswer: o, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 - 18 = -4*u + 2*b, u - 2*b - 16 = 0. Suppose -12*t - u = -13*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4 = -0*h. Let s = h - -3. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q\/q**8))\/(((q**(2\/7)*q)\/q)\/q)*q**(-5\/8)*q*q\/q**5*q)**(1\/6) assuming q is positive.\nAnswer: q**(397\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -822 + -5?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 7*d**2 - d + 7. Let s be t(-5). Let j = 263 - s. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 - 9*c - 4. Give z(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {h: 4, s: 4, a: 8}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 781726 divided by 781726\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.03 + 0.43. Let a = -421\/3 + 1693\/12. What is the biggest value in 1, a, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**3 + 4*l**2 + 844*l + 503. Let v(y) = -y**3 + y**2 - y. Let k(f) = -n(f) + 4*v(f). Find the first derivative of k(i) wrt i.\nAnswer: -6*i**2 - 848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 9 = -3*a, a + 3 - 6 = -j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*z**2 - 32*z**2 + 1 + 36*z**4 - 49*z**2 wrt z.\nAnswer: 864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2491, 4970, 7395, 9772, 12107, 14406, 16675, 18920?\n\"Answer: o**3 - 33*o**2 + 2571*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1313 (base 5) to base 13.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10766 - -604.14\nAnswer: -10161.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/732 and -1\/66.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 0 + 4*b**3 + 2*b**2 + 1 - 2*b**3. What is the tens digit of v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 52 = 28. Solve 3*b + 2*b = -2*n - a, -15 = 5*n - 2*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*v = -97, 0*x + 2*v = -2*x + 36. Let i = 47 - x. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31092.595 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-156)\/15 + (-2777 - -2786)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -119 + 138. Solve -15*g + i*g + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-9))\/((-5)\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68 + -14. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.05, -2, -1\/7, 0, 75?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 - 1)*(2 - 4 + 4) + 2 + 0 + 0 + 1 + 4 - 2 + 1 + 0 + 1)*(-2*n**4 + 2*n**4 + 7*n**4).\nAnswer: 63*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 7 = d + d, 2*i = -3*d - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 20*x. Let s be k(-20). Suppose 3*m = -3*i - 69, 2*m - 3*i + s*i = -71. What is the common denominator of 13\/21 and -4 - (-72)\/20 - m\/10?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*q + 28*q + 4*g = 57*q - 12, -2*g = 35*q - 68 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + -2*(0 + -1). Suppose 2100*x - 28 = 1043*x + 1085*x. Sort d, -16, -4, x in ascending order.\nAnswer: -16, -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l - 31. Let c(h) = -3*h + 44. Let x(t) = -3*c(t) - 4*u(t). Give x(-15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 173*c**3 - c**2 - c + 2. Let u(a) = 2*a**2. Let p be u(-1). Let d be m(p). Suppose 0*w - 3*w = -d. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 9*h + 1. Suppose 3*o - 5 - 7 = 0. Is 5 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(2\/(-107)*-1). Let o = u + 129. Suppose -4*k + 30 = -k. Calculate the lowest common multiple of k and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9437 = 943*h + 27340 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100 (base 4) in base 3?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*x - 122576, 184*v - 185*v = 5*x - 306414. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 > 10611\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 35744700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1220)\/(-40) - 29)\/((-17)\/(26316\/(-27)))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 32*b**3 + 20*b**2 - 809*b - 829. Calculate w(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.006886 months in years?\nAnswer: 1.6672405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r + 3. Let n be i(3). Suppose -3*z + 0*z = 4*f + n, 4*z + 8 = 2*f. Suppose f*y - 3 = -y. Solve 0 = -y*s - 12, 2*q = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 212?  (a) 5  (b) 20  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 2\/15, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31962 by 3.\nAnswer: 10654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-500)\/18 + (-16)\/72. Let f(l) = 3*l - 8. Calculate the remainder when f(8) is divided by (((-96)\/i)\/2)\/(6\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 1078388 - 1078424 = 4*s, -5*s + 9 = -4*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/((v*v\/(v**(-35)\/v))\/v*v))*v*v)**(1\/44)*v**31*v\/v**(-6\/5))**(-20\/11) assuming v is positive.\nAnswer: v**(-7504\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l**2 + 3*l**2 - 3*l**2)*(2*l**2 + 3*l**2 - 2*l**2) + 2*l**4 + 5*l**4 + 2*l**4 in the form x*l + m + n*l**4 + i*l**2 + t*l**3 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6354494 months in centuries?\nAnswer: 0.0013628745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -210 and 1426.035282.\nAnswer: 1216.035282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4*-30028.24\nAnswer: -120112.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77098783 to the nearest integer?\nAnswer: 8781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 0 + 0)*(-2 + 2*h + 2)*(11 - 16 + 19)*(-2*h + 0*h + 4*h).\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 3*g - 9, -24 = 2*g - 0*g + 4*b. Let n = g - -5. Suppose o = -n*o + 28. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -6. Let h be (1 - 0) + (-6 - l). Let s(o) = -11*o**2 - 2 + 7*o**2 - 7*o**2 + 13*o**2 + o**3. Calculate s(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 16. Suppose 4*b = 2*p + 170, v = b - p - 38. Suppose 2*c - 2*j - 86 = 0, b = 3*c + 3*j - 85. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (0 - -3) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:51 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 20304397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**5 - 350*r**4 + 8077*r**3 - 39622*r**2 + 67608*r - 35712 = 0. Calculate r.\nAnswer: -372, 1, 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -3\/179737 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 225\/(2\/(0 + 6)). Let o = m - 405. Suppose 0*b = -3*b + o. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1886.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5556743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 - -1*(2 - -3). Suppose -r*x = -189 + 39. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 - -1 - (-530 + 528)) + 3 + 2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148070587.\nAnswer: 7, 1607, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**14)**29*(c\/c**(-5\/7))**18 assuming c is positive.\nAnswer: c**(3058\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/3, 0.08, 2\/9, 5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33690196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 9 = -4*l, 3 = -0*l + 3*l - m. Let d(f) = -f + 4. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3046, 12211, 27464, 48787, 76162, 109571, 148996, 194419?\nAnswer: 245822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1203127 * -0.2\nAnswer: 240625.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (162\/(-30))\/((2\/(-5))\/((-76)\/38)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2311*q**2 - 2320*q**2 - 2320*q**2 + 9257*q**2 - 2306*q**2 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than -3213.8?\nAnswer: -3207.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 120*c - 294*c + 61 + 191*c as b*c + f and give f.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204*k + 463 = -536 - 225. Suppose 4*u = -3*x + 27, 3*u - x - 3*x - 14 = 0. Solve 5*f + u = k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7476 and 300576.\nAnswer: 187258848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) 2  (c) -0.5  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -6*d - 16. Let s be m(-3). Let t(z) = 4*z - 5*z**2 - 11 + 6*z**2 + 6 + 3*z**s. What is the units digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 - 14 = -5*i. Let l(s) = 4*s**3 - 15*s**2 - 33*s + 1. Let b be l(-2). Let m = i - b. Is 2\/5 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**2\/17 + 5008*r\/17 + 54846\/17 = 0.\nAnswer: -2493, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 - 32 + 11491*z**3 - 11110*z**3 + z**2 to x*z**3 + c + h*z**2 + j*z and give x.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8018 + f - f**3 + 2*f**2 - 2*f**4 + 0*f**3 + 8022 to m*f**4 + j*f**3 + l*f**2 + y*f + w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1.8976*1.5\nAnswer: 2.8464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 13251 + 13260 = -3*f, 0 = 5*f - 4*d + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -3\/2  (b) -312\/47  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -559 - -7265\/13. What is the nearest to -1 in 4\/9, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1344 and 2088912?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3\/5, 1\/11, -0.04 in increasing order.\nAnswer: -1, -0.04, 1\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-959)\/1370*320\/(-56)*(-1)\/(-562)?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -21539929 at least as big as -21539928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/32*(-44)\/66?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u + 26. Give w(23).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vfj when three letters picked without replacement from svvkvfj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 4*o**2 + 4*o - 3. Let c(l) = l**3 - 5*l**2 + 2. Let v be c(5). Let w be u(v). List the prime factors of (w\/3)\/((-3)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.29 + 0.59. Let x = -3 - -2. Which is the nearest to 0?  (a) z  (b) x  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*h + 48029147 + 637465853 = 0. Round h to the nearest one hundred thousand.\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y - 20. Let i be p(17). Let r(z) = 3*z + 3. What is r(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z - 4. Let l(r) = r**3 + 6*r**2 - r - 4. Let v be l(-6). Let b = 8 - v. Suppose -b = -a - a. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 10:03 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + 0 + sqrt(1300) + 0)**2 + sqrt(1300) + sqrt(1300) + (-3*(sqrt(1300) - (-1 + sqrt(1300))))**2 + sqrt(1300).\nAnswer: 30*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77056320 is divided by 25685432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - -2. Suppose -r - d = -5*s, -4*s = -5*r + 13 + 7. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 189 + -1321\/7. Find z, given that m*z**2 + 0 + 2\/7*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 6 + 1)*(2*l - 2 + 2) + 2*l - 1 + 1.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t - 27. Let n be v(19). Suppose 33*y - 108 = n*y. Calculate the common denominator of (-2)\/(-4) - 585\/y and 61\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -4*v**3\/5 - 912*v**2\/5 - 52076*v\/5 - 51168\/5 = 0.\nAnswer: -123, -104, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-14)\/(-4))\/(1\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -2. Let q(y) = -21. Let w(a) = -17. Let x(s) = 4*q(s) - 5*w(s). Let j(d) = -2*d + 8. Let r(v) = f*j(v) + 10*x(v). Give r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551 divided by -58?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 139 - 134. Suppose -3*n - a*t + 4*t = 44, -5*t - 25 = 0. Is (662\/(-8))\/(n\/572) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3305*k**2 - 3330*k**2 - 3298*k**2 - 3299*k**2 + 13230*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 23 - (-34 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from dddddnnnddddnddn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.21 - -2.299. Let c = j - 3.639. Let u = 0.05 + c. What is u rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from potoozttoozpo.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 38075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2650.08 + 2650. What is the smallest value in o, -6.8, 5?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 6*b + 123. Let j be z(-23). Let c(g) = -g - 12. Let h be c(j). Solve t = -h*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -8. Let h = -6 - r. Let j = -1.16 - 0.84. Which is the third biggest value?  (a) j  (b) 4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.9470524 weeks?\nAnswer: 572777291520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3057311*c. Let g(i) = 2*i. Give g(w(j)).\nAnswer: -6114622*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 65\/5*(-3 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -0.6, -2 in descending order.\nAnswer: -0.6, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssbssbsbbbsbbbbssbs.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n*q**3 - 2*n*q**2 - 42*n + 711*q**5 + 11*q**2 wrt q?\nAnswer: 12*n + 42660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40 + 84 - -81) + -30.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37572 is divided by 4173?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-7))\/(6*4\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y = y + 65 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*g**3)*(0 + g + 0) - 6*g**4 - 36 + 36 + g**4 + g - 2*g**3 - g.\nAnswer: -3*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*l**2 - l**3 - 18*l**2 + 5*l**2 in the form u*l**3 + k + n*l**2 + o*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.38 - 246.38. Let s = 240.86 + d. Let r = s + 0.14. Sort 0.2, r, 0.05 in increasing order.\nAnswer: r, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1727\/13 - (1 + -1). Let j = -133 + x. Suppose 0 = -p - 5 + 4. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*x + 6*x - 32 + 33)*((1 - 3 + 3)*(1 - 4 + 1) - 2 + 2 + 1).\nAnswer: 13*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 102*w**2 + 20*w - 372. Give c(6).\nAnswer: 3420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001182553 rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 11*z + 1. What is n(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 94?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 5*z + 16. Suppose -4*f - 38 = -3*l + f, 2*l = f + 23. Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4613*m - m**2 - 2227*m - 2216*m + 2 to r*m**2 + t*m + f and give t.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.783 - -13.943. Let v = w + -1.16. Is 0.1 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18093 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*o + 91. Let a = o - -44. Solve 7 = -3*h + a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*s - 35*s + 50 + 19*s)*(1 - 3 - 7).\nAnswer: -18*s - 450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 14, 19, 24, 29?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1376734 at most 20.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 7*k**2 + 13*k**2 - 791*k + 791*k in the form a*k**2 + x*k + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(80) + 5)*-5 + -1*(3 + 1*sqrt(80)) + -4)**2.\nAnswer: 1536*sqrt(5) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.337478 * -2\nAnswer: -0.674956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2862 - -2924. Let y be 4\/(-22) + (-2050)\/(-22). What is the highest common factor of y and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41352, 41362, 41374, 41388?\nAnswer: 41404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t + 32 - 32 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2646 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205*c = -192*c - 213*c + 6710. Solve 18*o = -c - 115 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23017*h**3 - 9571*h - 46040*h**3 + 23023*h**3 + 5003*h**5 + 2950*h wrt h?\nAnswer: 100060*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x + 3*x - x - 3*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 790 + -839. Let o = 60 - 6. Let r = v + o. Sort 1\/3, -1\/7, r in ascending order.\nAnswer: -1\/7, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.258, 4 in decreasing order.\nAnswer: 4, -0.258, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2663 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 9 - (132 + -136)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 6:06 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*m - 2. Suppose u = 5, -2*r - u + 15 = m*u. Suppose r*k - 10 = -2*k. Solve -3*c - k*x + 1 = -0*c, 0 = c - 2*x + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k. Let q(c) = 0 - 2*c + 2 - 1. Let r(s) = 1. Let v(d) = -2*q(d) + 2*r(d). What is v(u(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 386613 = 7*c, 4 = c - 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 + 10*q - 96.\nAnswer: (q - 6)*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4729518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is j in j**3 + 321546*j**2 - 21868596*j + 371785784 = 0?\nAnswer: -321614, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s**4 + 1588720*s**3 - 126193618070*s**2 - 1262055337200*s - 3155237641125 = 0. Calculate s.\nAnswer: -5, 158877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -3*o - 31. Calculate v(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*h + 40*h - 13467 = 419*h - 1074 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 232638011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25327378 is divided by 988?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178809 is divided by 256?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, q: 3, j: 5}. What is prob of picking 2 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3357315 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8226*i - 8399*i - 391*i**2 + 108*i**2 wrt i?\nAnswer: -566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s**3 - 10*s**3 + 13*s**3)*(6*s - 3*s - 2*s) to g*s**2 + q + f*s**4 + d*s + n*s**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6079358 at most -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 2. Let r be 41\/(-44) + 2\/11. Let u = -0.09629 + -0.10371. Which is the third biggest value?  (a) p  (b) u  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 14 = -5*x + 4*x, -2*h = -3*x - 3*h + 56 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s + 12. Let w be o(-13). Let u be 6\/((-6)\/(-2)) + -4. Let q be (w + -27)\/((1 + u)\/2). Solve 0 = 3*b - q*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -22, 3, 88, 263, 558, 1003, 1628?\n\"Answer: 5*v**3 - 10*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 divided by -319113?\nAnswer: 7\/35457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/523039 and 163\/57222.\nAnswer: 160049934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (8 - 39) + 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 28701.07819+0.0299\nAnswer: 28701.10809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 4) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8825*d**2 - 5257*d**2 + 2825*d**2 + (2*d + 0*d + 0*d)*(0 - 2*d + 0) + 0*d**2 - d**2 + 0*d**2 as l*d**2 + g + y*d and give l.\nAnswer: -11262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 11*k**2 + 7*k - 7. Let x be r(-8). Let h be 272\/x*(1 - (-3)\/(-12)). What is the nearest to -2\/5 in -5, 1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2329.6 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-6) + (-13)\/(-3). Let z(a) = 6*a - 8. What is the least common multiple of 4\/(-18) - (-148)\/18 and z(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-33 - (-2 - 31) - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5734356 - 3?\nAnswer: 5734353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2223 greater than -2150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10.86457 + 133185835.\nAnswer: 133185824.13543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14.8 and -0.573.\nAnswer: -8.4804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26807*f - 53654*f + 26845*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-1 + 4 + 5 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/7)\/k**(-4\/17)*(k\/k**(1\/4)*k)**(-2\/31))**(-31) assuming k is positive.\nAnswer: k**(1205\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-12))\/(((-15)\/(-8))\/(-5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 705.4*0.4\nAnswer: 282.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -10*x**2 + 282*x. Let w(p) = -827*p + 9. What is w(t(d))?\nAnswer: 8270*d**2 - 233214*d + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 11*f**2 - 104. Let q(r) = -5*r**2 + 103. Give -3*q(x) - 2*u(x).\nAnswer: -7*x**2 - 101","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.09 + 9.09. Let k = 7.8 - g. Let o = -1.29 - k. What is the third smallest value in 3, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 2:45 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*g**5\/5 - 10067*g**4\/5 - 932159*g**3\/5 - 4883263*g**2\/5 - 2415873*g\/5 - 62658 = 0. Calculate g.\nAnswer: -177, -5, -2\/7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - z = 4*m - 15, -3*z + 5*m + 28 = 0. Let i(j) = j**3 - 12*j**2 + 11*j + 13. What is the units digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) - (2 + -1 + sqrt(700)) - (5 + 1*sqrt(700) + sqrt(700) - sqrt(700)))**2.\nAnswer: 120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 582922 = 2*y + 2*b, 309661 - 1475553 = -4*y + 4*b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2769.19 + 2769.2. Sort 0.4, y, -2.5, -15.\nAnswer: -15, -2.5, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + q - 3*q = 33, -4*z = 4*q - 24. Suppose 3*y + 5 + z = c, 0 = 4*y + 2*c + 2. Let s(k) be the first derivative of -k**2 - 4*k - 2. Determine s(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 226 + -224. What is the third derivative of 166*y**4 + 262*y**x + 221 - 74 - 75 - 72 wrt y?\nAnswer: 3984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 11:26 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-14))\/((-191)\/(-573)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 + 5)*(-4 + 1 + 1)*(-1 - 3 + 5)*(-4 + 9 - 7)*(-3*o + o + 4*o).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 17 = r, 4*i - 2*r + 4*r - 2 = 0. Suppose i*s - 5*s + 25 = -d, -2*s + 2*d + 20 = 0. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*h**2 - h + 0*h + 6 - 8*h**2 + (-2*h - h + h)*(2*h - h + 0*h) to n*h**2 + j + r*h and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 16 - 345*n + 65*n + 55.\nAnswer: -280*n + 94","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 3*q**3 + 41577*q**2 - 166344*q + 166356 = 0.\nAnswer: -13863, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 8*q - 10. Let k be h(7). Let f = k - -5. Let 2*j**3 + f*j**3 - 6*j**3 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of 2*v - 1\/2*v**3 + 0 - v**2 - 1\/12*v**4. Suppose -u - 24 = 2*u - 5*t, t + 6 = -3*u. Calculate l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.4 - 7.339. Let l = m - -2.339. Let p = 5.9 - l. Round p to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3\/9 + 15048296*v**2\/9 + 30096608*v\/9.\nAnswer: -4*v*(v - 3762076)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, l: 4}. Give prob of picking 2 j and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3532 - -1?\nAnswer: 3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*q - 52*q + 696*q = 1175460. What is the lowest common multiple of 32 and q?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9 - 0) + -1 + -3. Suppose -4*h - c*h - 162 = 0. Let s = -35\/2 - h. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*n**2 - 252*n**2 + 127*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 19, -14, 0.06, -1\/26?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 13*w**8\/56 - w**4\/2 - 5*w. What is the third derivative of b(l) wrt l?\nAnswer: 1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 789413 is divided by 572.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1203)\/(-802) - 378\/8*48\/(-56).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of j**6\/80 + j**5\/120 - j**4\/16 - j**3\/12 - 4*j**2 - 4*j. Let y(i) be the first derivative of n(i). Factor y(v).\nAnswer: (v - 1)*(v + 1)*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*p - 30*p = 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14\/(-245)*5 + (-1384)\/(-4893). Let a = 460\/2097 - h. Factor -2\/9*f**5 - a*f**4 + 0 + 2\/9*f**2 + 0*f + 2\/9*f**3.\nAnswer: -2*f**2*(f - 1)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 8) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 887*h - 401 = 486*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(4\/(-3)) + 215\/20. Calculate the highest common divisor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -81928*k**2 + 7546.\nAnswer: -163856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*a - 2*a. Let w = a + 9. Determine x, given that 0*x**2 - 4*x**3 - 4 + 5*x**w + 3*x**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/32*-3*(-18)\/81.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 46085?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 82306  (b) -0.3  (c) 4  (d) 0  (e) 1  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 2*n**2 + 5*n - 2. Let p be l(4). Let m be (p\/(-6))\/(51\/153). Let b be 56\/105 - 2\/10. What is the third biggest value in b, 2\/9, 2, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 6:37 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13\/1744 + -6\/109. Let n = f - -41\/144. Are 0 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/50)\/(850\/(-2125)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 2 g, and 1 i when four letters picked without replacement from ggiyynyynnygngn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/913?  (a) 3  (b) 0.2  (c) 0  (d) 16  (e) -1  (f) -2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 711199 and 9167?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-6)*g*g**(-4\/5))\/((g**(-3)\/g*g)\/g**(-3)))\/((g*((g\/(g**(-1)*g))\/g)\/g)**40)**(-3\/19) assuming g is positive.\nAnswer: g**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -116 - -118. Let c = -46 + 42. Put c, i, 1.3, 3 in descending order.\nAnswer: 3, i, 1.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -1\/84*i**4 + 57*i - 2\/21*i**3 + 0 + 2\/7*i**2 + 1\/140*i**5. Determine p so that z(p) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 4*p**2 + 325*p - 1245. Give s(4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(200))**2*-2 + sqrt(200).\nAnswer: -1600 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 8 = -3*j. Suppose -4*s - 2*s**j - s**2 + 4*s**3 - 2*s**2 + s**4 + 4 = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 2:11 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 481 + -c46?\nAnswer: -7c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, q: 6, c: 6, t: 1, u: 1}. Give prob of sequence xc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -494506 + 0.3.\nAnswer: -494505.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 2)*(-28030*w**2 + 28030*w**2 + 929*w**4).\nAnswer: -929*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from rrrirrruuuriiriruru.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7723433g to milligrams.\nAnswer: 772.3433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = r + 4*s, r = -5*s - 13 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2\/7, 4, -2\/7 in descending order.\nAnswer: 4, 2\/7, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, n: 1, q: 1, s: 1, c: 1}. Give prob of picking 1 n, 1 s, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 387 - 234. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 564856.1mg in tonnes?\nAnswer: 0.0005648561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 358 = -j + 94, -2*s + 452 = -j. Let q = 336 - s. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 98*m**2 + 11 - 8.\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -8. Is 16 a factor of (73 - x)\/(1 - 0\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/7)\/(480\/(-112))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-22)*h**(-2\/41)*h*(h*h**(-20)*h)\/h*h**(-5\/14) assuming h is positive.\nAnswer: h**(-23193\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -i**5\/60 - i**4\/2 - 569*i**2. Factor f(c).\nAnswer: -c*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 74\/206789?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, j: 1, l: 1, c: 5, m: 4}. Give prob of sequence jc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 7 + 1 + 4*o + 3*o + 7*o**2. Let b be x(-6). Solve 4*g - 12 = 5*k, -5*g + 15 = 4*k - b*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3 + 2*k - 7 + 4. Let g(x) = 2*x - 1. Calculate 4*g(j) - 5*w(j).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204 at least 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -776 = -4*i - 2*j, 0 = -i - j + 5*j + 176. What is the remainder when 1141 is divided by i?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 116 + -130. Let d be 4\/(-112) - 4\/x. Which is the closest to d?  (a) 1  (b) 2  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s + 6 - 38 = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -15*o + 4732. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*u + 10 = 0, n = 3*u - 7*u - 20. Suppose 4*z + 5*r - 138 = 0, 5*r + 0*r + 195 = 5*z. Suppose -4*d + 5*d - z = n. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 190*c - 3. Let p(j) = -238*j + 3. Let d(g) = 5*i(g) + 4*p(g). What is d(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -7*n**5\/30 - 3*n**3\/2 + 25*n**2\/2 - 13*n - 2. Let g(c) be the first derivative of f(c). Differentiate g(s) wrt s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 4\/28*(-2215)\/45.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-30)\/(-5))\/(-2)*-1. Let r be (-15)\/(-5) - (1 - s). Suppose -5*i + 112 = h, 2*h - r = -2*i + 43. Calculate the remainder when i is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000045837632 to seven decimal places.\nAnswer: 0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 135*o - 814. Let z be v(6). Sort -3, -1, 18, z in decreasing order.\nAnswer: 18, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 21*3\/15*5. Let x be 1\/3 + 16\/6. Suppose 0 = -2*j - 5*l + 23, 3*j + x*l - q = -0*j. Which is the biggest value?  (a) -5  (b) j  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 4*z - 4, 0*z + 26 = 2*t - 2*z. Suppose -t*u + 1860 = -u. Calculate the highest common factor of u and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*v - 5*f, 24 = -2*v + 4263*f - 4268*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -53, -93, -133, -173, -213?\n\"Answer: -40*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 226 + -133. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -11*d**3 + 47*d**2 - d + 16. Let t be u(4). Solve -7*y + t = -17*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 11801*f**2 - 15*f - 15. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*(-1)\/(-2))\/((14938\/2328)\/(-77)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.102 + 0.05. What is j rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vxmvkqxqvmvxvvmfv. Give prob of sequence kxmm.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 364*k**2*s - k*s**3 - 73*k*s**2 + 12*k - 18*s**3 - 251*s**2 + 1229*s - 1 wrt k?\nAnswer: 728*k*s - s**3 - 73*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2587 + 20649\/8. Calculate the common denominator of a and 23\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-43)\/(-7) - (-3)\/(-21). Let l(c) be the second derivative of -c**5\/20 + c**4\/2 - c**3\/3 + 9*c**2\/2 + 3*c. What is l(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 + -2. Let r = f - -40. Solve 0 = -2*a - 2*a - r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 28. Which is the nearest to 0.1?  (a) -1\/28  (b) d  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d19 + -1?\nAnswer: d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/350320 and -77\/2671190.\nAnswer: 21369520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37417*z**3 + 2929203*z**2 - 2929203*z**2.\nAnswer: -37417*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, b: 4, s: 2, y: 1}. What is prob of sequence os?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 10:44 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1017*p - 828*p + 44722 = -1688*p - 17219 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (-16)\/36*4. What is the nearest to -0.1 in 0.5, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7539\/4 - -2*3\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4554 divided by -69.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -407.9043 + -2.2157. Let d = s - -400. Round d to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.93 + 7. Let h = 3.93 + t. Let f be (2\/24)\/(6\/(-8)). Sort h, 2, f in descending order.\nAnswer: h, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 225.7792 and 14?\nAnswer: 211.7792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -13*y**2 + 23 + 3*y + 0*y**3 - 11*y**2 + 33 + y**3 - 2. What is the least common multiple of u(24) and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 13. List the prime factors of (-3 - -7) + 27\/o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110435451 (base 6) to base 12.\nAnswer: -802b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-4)*6*-2. Let w be 9\/(-3) + 1 - -47. Let q = -12 + w. Calculate the highest common divisor of q and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(2 - (-51)\/(-27)). Let m be -2*j\/(-6) + 2. Let x be (m - 1) + 24\/10. Is x at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 28*d - 80*d - 20*d + (d - d + d)*(-2 + 4 - 3) + 0*d + 0*d + 3*d - 2 - 2*d + 2 - 1 - 2*d + 1 + (-3 + 2 + 2)*(1 - 1 - d) - d + d + d.\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4760 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**3 - 14493*p**2 - 130334*p + 318648 = 0.\nAnswer: -14484, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -216, -904, -2108, -3876, -6256, -9296, -13044?\n\"Answer: -8*d**3 - 210*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k + 56. Let w be g(0). What is the remainder when 14\/w*124\/(4 + -3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, t: 2}. What is prob of picking 1 t and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 150.883 - 152. Round u to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*z + 67 + 79 = 6*q - 2, -24*q - 2*z = -212 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**3\/3 - 1474*m**2 - 5903*m + 22130\/3 = 0.\nAnswer: -5, 1, 4426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f - f + f**2 + 160*f**3 + 3*f.\nAnswer: 160*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 29*h + 2. Let m(w) = -47*w**2. Give b(m(p)).\nAnswer: -1363*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -61*m + 568. Does 8 divide b(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 0 - 3\/8*t**4 + 9\/2*t**3 + 0*t - 1\/4*t**5 - 1\/40*t**6 + 15*t**2. Factor q(a).\nAnswer: -3*(a - 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59714307 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198714 is divided by 198415.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2*o = -340710, 7006676 = 24*z + o + 2918056. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3*b**2 + 43*b - 11. What is m(11)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(468))*5 - -6*(sqrt(468) + 2).\nAnswer: 17 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3055*x - 330*x + 270056 + 133272 - 98678 = 0 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 12, y: 6}. What is prob of sequence yw?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -3*h. Let l(j) = 6*j**2 - j + 3. Give n(l(u)).\nAnswer: -18*u**2 + 3*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h - 5 = 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3134, -3135, -3136, -3137?\n\"Answer: -l - 3133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -14. Let q = x - -6. Let f be 11\/4 - (-2)\/8. Solve q*v - f = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -0.098039?\nAnswer: -0.0392156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 324 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17258248 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6746, -5446, -4150, -2858?\n\"Answer: -2*i**2 + 1306*i - 8050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 16\/85 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*t**2 + 3325*t + 64980 = 0. What is t?\nAnswer: -19, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 12133 and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-17)\/(-4) - ((-4)\/(-16) + 0). Suppose -2*c + 3*g + 1139 = 0, -9*g = -u*g - 15. List the prime factors of c.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 65?  (a) -1  (b) -0.027  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.8, -2, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -133524331 (base 7) to base 3.\nAnswer: -121022221000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -526339 divided by -6\nAnswer: 526339\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(2\/13)*m)\/m)**(-31)*(m\/m**(-1\/34))\/m*m**15*m*m assuming m is positive.\nAnswer: m**(-8283\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11123 - -11102122?\nAnswer: 11113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/6*-10 - 16824\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - t + 2 = 3, -c + 4 = 3*t. Let i be (c - -15 - 0) + 1. Calculate the highest common factor of 153 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of q**5\/30 - 5*q**2. Let k(n) = -n. What is k(b(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 719826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 29*q - 75. Let l be s(9). Let i be 63\/l - 3\/5. Sort -17, i, -2, -1 in increasing order.\nAnswer: -17, -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of k**6\/1440 + k**5\/240 + 7*k**3 - 22*k**2 + 1. Let q(c) be the first derivative of j(c). Suppose q(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**5\/60 + o**4\/24 - o**3\/6 - 102*o**2 - 2*o. Let c = 25 - 23. Give d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(-3762)\/46284*-29.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 32706*w + 43. Is k(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 - 4*o**3 - 6*o**3.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -76*h**2 - 186. Let o(p) = 164*p**2 + 403. Let x(k) = 13*n(k) + 6*o(k). Let a(q) = 0*q + 2*q**2 + 0*q. Give a(x(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79756577, -79756563, -79756547, -79756529?\nAnswer: -79756509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) -118  (b) -1\/6  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 6:07 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5d3b (base 14) to base 10.\nAnswer: -16321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 16 = -6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/3894420 and 73\/973605.\nAnswer: 3894420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -578 + 1101\/2. Let n = 27 + d. Suppose -15*i + 23*i = 32. Which is the closest to -2\/9?  (a) n  (b) -1\/3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1.2  (b) -3\/4  (c) 3\/5  (d) 0.1  (e) -0.00957  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = z - 0. What is the remainder when z is divided by (-2)\/(-4)*(49 + -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**2. Let u be (-60)\/(-135) - (-23)\/9. Let h(m) be the second derivative of 0 + m - 5\/12*m**4 + 0*m**2 + 0*m**u. Determine h(a(z)).\nAnswer: -45*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 938*a*l**2*v - 18699104*a*l**2 + 5600*a*v + 2*a with respect to v.\nAnswer: 938*a*l**2 + 5600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -270*y**2 + 6. Let j(x) = 90988*x**2 - 2024. What is -6*j(w) - 2024*k(w)?\nAnswer: 552*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1181299801.\nAnswer: 11, 107390891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34552148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkrdrrk. Give prob of picking 3 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*g + 5*q, 15 = -4*g - 3*q - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/6)\/((-24)\/(-240))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q**4\/5 + 1467*q**3 - 3589551*q**2\/5 + 3567561*q\/5 + 1432890 = 0. What is q?\nAnswer: -1, 2, 675, 1769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 - -6 - 2\/(-2). Let u(n) = -2*n + n**y - 4*n**2 + 3*n**2 + 2*n**2. Let i be u(2). Solve -i*p = -6 - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -2*f - 66, f + 33 + 19 = -3*x. Let t = -142 + 101. Let g = x - t. What is the remainder when 63 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j - 57. Let u be n(19). Solve u = -m - 2*s - 7, -6*m - 3*s = -m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d - 19 + 1 + 18.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 774696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 116712*h*n + 2*h - 553*n - 105 with respect to h.\nAnswer: 116712*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - h + 1)*(-3 - 2 + 3) + 843 + 835*h - 425 - 418 to f + p*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.32312 millimeters in kilometers?\nAnswer: 0.00003532312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**3 - 8*r**2 - 9*r + 6. Let f be n(5). Suppose 3*q - 5*q + 2 = 0. Sort 4, f, q in ascending order.\nAnswer: q, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**4 - 2*o + 0*o**4 - 2*o**2 + 0*o**2 to the form l + f*o + d*o**3 + j*o**2 + c*o**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 6*s**2 - 6*s - 1. Let m be h(5). Let w = m + 13. Let f be (11*14\/308)\/((-1)\/(-2)). What is the highest common factor of w and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 737 divided by -3?\nAnswer: -737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h**2 + 386*h + 46. Let c be m(-55). Let n(l) = -l**3 - 9*l**2 + l + 10. What is n(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*f + 5*f + 2*f)*(0*f + 0*f - 2*f**2) + 9*f**2 - 8*f**2 + 0 - 3*f**3 - 3 to d*f**2 + x*f**3 + s + o*f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -2*i**3 + 130*i**2 - 2057*i - 423. Determine s(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 946 - 573. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(66)\/(sqrt(726) - sqrt(726)*1 - sqrt(726)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1954*d + 390*d - 1 - 1869*d - 5*d**2 - 3998*d.\nAnswer: -5*d**2 - 7431*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 816?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/31920 and -1\/570?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11460*y + 12623*y - 27374*y to the form p*y + n and give p.\nAnswer: -26211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 133 + -14?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (8 - -5 - 7) + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w + 32 = -2*w. Let g(p) = 3*p. Let i(b) = 7*b. What is w*i(k) + 5*g(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**4\/3 - 118*d**3 + 5438*d**2 - 60734*d\/3 + 14924 = 0?\nAnswer: 1, 3, 82, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 1 - 1 - (-176 - -182)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 950032493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -129, -78, 51, 294, 687, 1266?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(4\/80*4). Calculate the greatest common divisor of 70 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**31*b**41\/b assuming b is positive.\nAnswer: b**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -12553938 (base 10) to base 6\nAnswer: -1125024030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 6) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 53*u - 51*u. Find the first derivative of 7 - 3 + 13 - u*r**2 - 4 wrt r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 768 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 362086*a**4 + a**3*g*u**2 + 2*g*u**2 - 183*g*u - 3*g + 3*u**2 - 4*u wrt a?\nAnswer: 1448344*a**3 + 3*a**2*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*t + 134*t + 21 = 0. Let q(d) = 7*d - 8*d**3 + 7*d**2 - 11*d**3 + 37*d**t - 10*d**3 - 7*d**3. Give q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.04 + 0.44. Suppose -5*x - 6 = -2*x. Let f be (x\/(-14))\/(2\/4). Which is the second smallest value?  (a) -5  (b) z  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29479 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-31)\/11 + (-6)\/33. Let y = w - -5. Solve -2 = -2*z - g, 2*g + 2*g = -y*z + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-8)\/(-27))\/(182\/78) and 109\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(108)*3)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1086, 2050, 3612, 5772, 8530, 11886?\n\"Answer: 299*s**2 + 67*s + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2032b30 (base 12) to base 8.\nAnswer: -27023324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49621723931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)*-1*6 + sqrt(102) + sqrt(102) + 2*sqrt(102)*-1 + sqrt(102))\/(sqrt(66)\/(sqrt(55)\/(sqrt(5) - sqrt(20)))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42 * 124.\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.47 in 0, 9, -5, -18\/71?\nAnswer: -18\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 4\/(-4))*(0 - -1). Suppose d = 4*f - 19, d - 1 = -c*d. Suppose 3*h - 148 = -f*s, -205 = -3*h + 4*s - 21. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12640 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1921 + 15818. Suppose 2*c + c + 4*y = b, 4*c - 23674 = 2*y. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**2 - y**2 - y**2 + (6*y + 1 - 1)*(y - y + y) + (-2*y - y + 5*y)*(21*y - 17 + 17).\nAnswer: 46*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102.8769 + 0.2269. Let d = u + 105. Let h = -1.6 + d. What is h rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 60 - 40 = -3*l, 0 = 3*b - 4*l - 184. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2526471?\nAnswer: 3, 37, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -586*c**3*w**2 - 3*c*w**3 + 3940*w**3 - w**2 + 2*w wrt c?\nAnswer: -1758*c**2*w**2 - 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*s**2 - 257 + 257 as i*s**2 + h*s + w and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(147) + 0)*3 - sqrt(147) - sqrt(147)) + 0)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 19858*u + 39716. Give h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 1 = -323. Calculate the remainder when o is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + 1. Let l be 119\/(-13) - m\/(-52). Let r(s) = -s**2 - 11*s - 10. Let g be r(l). Solve 0 = 5*x - g - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 85 + -3.4.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -18*s - 1 + 14*s + 0. Let k be b(1). What is the closest to -1 in -0.2, k, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(6*4\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b - -5c7?\nAnswer: 5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 29745 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 79660 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/(-3))\/2 + (-11 - -14))\/(45\/2160)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(7\/4))\/(l\/(l*l*l\/(l*l\/(l**(-6)\/l))))*l**7*l**(-9) assuming l is positive.\nAnswer: l**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36005.67 - -36007. What is the closest to -0.1 in 62, d, -2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -5*z - 43, -z + 40 = 3*x - 9. Suppose 6*p - x = 2*p. Suppose -4*q - 2*m = -29 + 5, 0 = -2*q - p*m + 6. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2\/9 - 15389806*z\/9 + 61559288\/9 = 0.\nAnswer: -7694911\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3 + 1036324*a**2 + 1381761*a + 345440.\nAnswer: (a + 1)*(a + 345440)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 + -16. Let q be (-248)\/(-16) - j\/(-2). What is the greatest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15.7 + -17.7. Which is greater: c or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38354924*d**4 + 19267174*d?\nAnswer: -460259088*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-452)\/6)\/(19\/(-57)). Let u(s) = -s + 11. Let b be u(-9). Suppose -2*c + 3*g + 52 + b = 0, -5*c + h = 4*g. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -191*t**5 - 2720*t**2 wrt t.\nAnswer: -11460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.4 in 1, 1\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 17 from -16832402192.\nAnswer: -16832402209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -957 + 1452. List the prime factors of j.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 483034796?\nAnswer: 2, 19, 443, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -3  (c) 4569  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*w + 4*w + 0*w)*(3 - 6 + 2) - 198 + 200 + 16*w + 19*w + (1 + 1 + 0)*(-w - 2 + 2) - 3 + 3 - 2*w)*(4 - 6 + 0).\nAnswer: -64*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 11.368  (c) -1\/21  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*b - 4. Let a(g) = -2*g**3 + g**2 + 15 - 2*g**b + 0*g**3 - 14. Suppose h = 4*h - 3. Determine a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -238*t - 170 = -243*t. Calculate the highest common divisor of t and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**2 - 4445590*r + 17782328 = 0.\nAnswer: 4, 2222791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 4. Let n be 18\/(-3) - -3 - 121. Let i = n - -115. Is j less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 33 = 42. Let t(u) be the first derivative of 2\/3*u**b + 0*u**2 - u + 4. Differentiate t(r) with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + 768b?\nAnswer: 768e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 14990*u**2 - u. Let n(v) = -71*v. Calculate n(l(b)).\nAnswer: -1064290*b**2 + 71*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-38))\/(26547\/17698)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*b = 42*b - 3*u - 9, -b = -u + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b + 1. Let p(l) = 36*l + 18. Let s(g) = -p(g) + 15*w(g). What is s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 360*b**5*j + 688794*b**3*j + 1009*b**2*j + b**2 - 25*b*j - 4*b - 2*j + 2 wrt b?\nAnswer: 21600*b**2*j + 4132764*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0*(6\/(-4) - -2). Let o(b) be the second derivative of k*b**2 + 0 + 1\/12*b**4 - b + 0*b**3. Let n(w) = -w**2. What is n(o(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1387, -1501, -1675, -1909, -2203?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -3  (b) -5  (c) -0.1  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8290\/(-15096) + 1\/2. Let k = 1\/204 - f. Let t = -3\/677 - 33841\/2031. Find the common denominator of k and t.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 0*a + a**2 + 0*a**3 + 0 + 13\/24*a**4. Let c(l) be the second derivative of l**4\/12 + 18*l - 9. Calculate s(c(d)).\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -9519 times -87209\nAnswer: 830142471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*m - 4 + 4)*(-598 + 37 - 222) to d + i*m and give i.\nAnswer: -3132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 532 a factor of 18581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(17) + -2 - (sqrt(204) - -3*sqrt(204))\/sqrt(12)) + -3 - ((sqrt(833) + sqrt(833) + -1)*1 + -1 + -3*sqrt(833)))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + x + 5 = 0, -h + 3*x + 20 = -x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05274869 to 3 decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/158 > -15018.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2214, 2799, 3384, 3969, 4554, 5139?\n\"Answer: 585*u + 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2969, 6562, 11283, 17696, 26365, 37854?\nAnswer: 52727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*s - 82 = 0, 2*g = s + 26 + 32. What is the derivative of 67*v - 67*v + 34*v**4 - g wrt v?\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 419\nAnswer: 167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 <= 66.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a (base 14) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 11:10 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 0*z = -4*z + o - 24, -10*o = -20*o + 7*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 625770.1 minutes to milliseconds.\nAnswer: 37546206000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**2\/2 - 6720*k + 13437\/2 = 0 for k.\nAnswer: 1, 4479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -17. Let l = y - -15. Suppose -l - 7 = -4*z. Solve -8 = z*o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 - 89. Let v = 0.09 + 3.91. What is the second biggest value in -2, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(25)\/(-1*sqrt(125)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 28 + -40 - -29\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 1, -7.6, 2\/13.\nAnswer: -16, -7.6, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**5 - r. Suppose 0 = c - 3, 0 = -x - 3*c + 8. Let t(h) = -14*h**3 + 4*h**2 + 26*h - 16. Let d(f) = x*t(f) - 2*z(f). Suppose d(v) = 0. Calculate v.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, p: 10}. What is prob of sequence uuu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9.899779ng?\nAnswer: 0.000000000009899779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10122322 (base 4) to base 14.\nAnswer: -6854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-5\/2)\/(s**(2\/3)\/s))**(-12) assuming s is positive.\nAnswer: s**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 205380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 25263 (base 7) to base 2\nAnswer: 1101000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 634 is divided by 291.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 12 = -d. Let o = d - 3. Suppose -3*u + 3*q + 12 = o, -u - 4*q = -9*q - 12. Is 4\/5 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1573)*1 - sqrt(1573))*-5 - ((sqrt(13) + (sqrt(13) - sqrt(325)))*-4 - (4 + sqrt(39)\/sqrt(3))))**2.\nAnswer: -88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119 - 4652 = 367*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3305124*j**3 - 109548349524*j**2 - 482060896*j - 530320.\nAnswer: -4*(j + 33145)*(909*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47 (base 11) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 56\/12*(-9)\/(-6). Suppose -2*n - 2*m = -t*m - 6, 0 = -2*n + 3*m + 6. Suppose n*y = -54 + 186. What is the highest common divisor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 51382 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 10*s. Let l(b) be the second derivative of 349*b**4\/12 + b**3\/3 + 4092*b. What is i(l(c))?\nAnswer: 3490*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59334229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -175 in descending order.\nAnswer: 1, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -797*c = -786*c - 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*n + 50*n - 15*n + 74*n + 39*n + 21*n.\nAnswer: 183*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -2)\/((-7)\/(105\/(-10))). Let c be ((-85)\/d*-1)\/((-38)\/114). Which is smaller: 86 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7155 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -x**7\/210 + 4*x**3 - 6*x**2. Differentiate t(b) with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of m**2\/2 - 5*m - 2. Let c be h(7). Let t = -3 - -13. Solve c*n + 4*r - t = 0, n - r = r + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 434 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: Which is the closest to -221?  (a) -0.1  (b) 208  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22 - 4*k - 7 + 67 - 1 + k to w*k + n and give n.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1549 + 0?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 3*x - 3*x)*(6 - 7 + 3) + 70*x + 42*x - 32*x.\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 338*z**3 + 344*z**3 + z**4 - 682*z**3 + 17*z**2 - 1 to j*z**2 + s + v*z**3 + x*z + f*z**4 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3 or -70?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 940000*(((-6)\/2 - -6) + -4). What is t rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**2 + 5*y + 7. Let u be k(-3). Let f = u + 0. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 88 = -8*w. Suppose -2*p = -2*l - w, -25 = -6*p + 5*p - 2*l. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -301873 + 12*b + 301873.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - -35 - (5 - 0) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -641614 > 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**3\/13 - 18*l**2\/13 - 1010*l\/13 + 1026\/13 = 0.\nAnswer: -19, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/(-57)*(-3)\/2 + 6*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 24 = 4*q, q + 13 = 5*d - 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 270863525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 22*b + 156. Let y be g(-7). Suppose 43*u**y - 18605 - 22*u**2 + 610*u - 26*u**2 = 0. What is u?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0516*0.1\nAnswer: 0.00516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (31825\/20 - (-3)\/4). Let c = y + -703. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 415228.\nAnswer: 2, 11, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3741948473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 137 + -44. What is the greatest common factor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((729\/252)\/27)\/(9\/(-18))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.2982899 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 409111056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 660 and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w = 4*w + 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8 = 3*q - 4*q, 0 = 4*v + 12. Let c(l) = 13*l - 2. Let i be c(8). Suppose -t = q*t - i. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -19.1  (b) 3\/2  (c) -1  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -52c + -4?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12683673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 11*w**2 - 5*w + 9. Let s(t) = -10*t**2 + 5*t - 9. Let k(x) = -6*j(x) - 7*s(x). Let y be k(2). Which is greater: y or 72\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-14) + ((-330176)\/2940)\/88. Which is the nearest to 0?  (a) 34\/5  (b) m  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1087, 1084, 1081, 1078, 1075?\n\"Answer: -3*x + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22.5 + -22.57. Let y be (1\/22)\/(32\/(-128)). Let l = -0.06 - -0.46. What is the third smallest value in u, -2\/3, l, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 9*n + 1. Determine q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/4, 0.568, 3\/7, -0.95 in ascending order.\nAnswer: -0.95, 1\/4, 3\/7, 0.568, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -359, -5, 1, -8 in increasing order.\nAnswer: -359, -8, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (99\/66)\/((-3)\/(-4)). Suppose -89*r + 320 = -84*r. Calculate the greatest common divisor of r and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -13*d**4\/24 + 13*d**3\/6 - 2014*d**2. What is j(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -146*l**2 + 40*l + 5. Let v(h) = -300*h**2 + 81*h + 11. Let k(z) = -7*u(z) + 3*v(z). What is the second derivative of k(q) wrt q?\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(3\/(-24)*-6). Suppose -3*b + 30 = 2*p, -4*b + 2*b - 22 = -p. Let r = w + p. What is the highest common divisor of r and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*n**4 - 20*n**4 + 2*n**4 + (6 - 7 + 0)*(0*n**4 - 2*n**4 + 3*n**4))*(3 - 3 + 1) in the form m + x*n**2 + i*n + r*n**3 + v*n**4 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 404*z - 2280. Let g be k(6). What is the greatest common factor of 8784 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4366*w**3 - 203*w**2 + w?\nAnswer: 26196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-22)*72\/(-60)*100?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2.54129 decades?\nAnswer: 25.4129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w + 11. Let s be n(3). Let h(g) = -g**2 + 14*g + 22. What is the smallest common multiple of 14 and h(s)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 1897033?\nAnswer: 1897030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 45 = 7. Solve -5*y + f + j = 0, 0*y + f - 5 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = z + 17. What is the derivative of -27 + 4*c - z*c + 100 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 444 and 22578.\nAnswer: 1670772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((11\/(-8 + -3))\/(3\/4))\/(930\/(-45))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3849 = 189. List the prime factors of o.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzvzldvzbdbzbzzzn. What is prob of sequence dbn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1113710*l**3 - 14758*l + 14758*l.\nAnswer: -1113710*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 13*w**3 + w**2 - w. Let c be o(1). Let p = -25 + c. Let a be ((-4)\/p)\/((-2)\/(-6)). Calculate the greatest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 14481, 28745, 43009, 57273, 71537, 85801?\n\"Answer: 14264*p + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28185654 and 6710870.\nAnswer: 140928270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 128*t**2 - t**5 - 128*t**2 + (0*t**3 - 5*t**3 - 2*t**3)*(-t**2 + 4*t**2 - t**2).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -0.02, 0.3, 4\/5, 7, 49?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 - 10*k + 16. Let g(y) = y**2 - 3*y + 5. Let j(z) = 7*g(z) - 2*s(z). Let p be j(0). Suppose -p*i - 3 + 0 = 0. Are -3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4272 - 136 = -4*k. Calculate the remainder when k is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*u + 5*u = 27*u + 1092 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s**2 + 22. Let q(t) = 2*t - 7. Let h be q(5). Let m(u) be the first derivative of -11*u**3\/3 - 65*u + 1641. Let n(f) = h*m(f) + 8*r(f). Give n(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*s**2\/4 - 101067*s\/4 + 14439\/2.\nAnswer: -3*(s + 4813)*(7*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/1596 and 67\/22548.\nAnswer: 2998884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(2057) + 0 + ((sqrt(2057)*2*1)**2 - sqrt(2057)).\nAnswer: 8230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 9 - v)*(2*v**2 + v**2 - v**2) - 3048*v**2 + 598*v**3 + 3048*v**2 to the form w*v**3 + r*v**2 + o + y*v and give w.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 6 + 3*b**4)*(2 - 5 + 4).\nAnswer: 3*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -24, 200, 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 125*h - 131*h + 254*h to the form w + n*h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 320574.\nAnswer: 1\/106858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1719380193 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2491 - 4975 + 2484 + 64*f**2.\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 2*v**2 - v. Let c = -2 + 1. Let t be n(c). Suppose w + 4*w - 90 = t. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 11:15 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*n = 104*n - 4*b - 128060, n - 25598 = -2*b. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/111915 and -42\/535.\nAnswer: 11974905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 7 - 8 - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 212 and 8.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/5)*l\/(l\/(l*l**(-1\/15)*l)))**(-5\/14) assuming l is positive.\nAnswer: l**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v + 5492*v**2 + 5*v + 288 - 281.\nAnswer: 5492*v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -25*u + 1. What are the prime factors of h(-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 19*s = 1652. Suppose 3 = -v + 12. Suppose -y + 6 = -v. What is the remainder when s is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 440*h**3 + 20125*h - 27712402?\nAnswer: 1320*h**2 + 20125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 12*x = 11*x + 5, 5*j = -x - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v - 7560 = 10*v. Let q = v + 811\/3. Which is smaller: -0.26 or q?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 481249069 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - 12*v - 14. Let d(p) = 6*p. Let w be d(1). Let c(q) = -q. Let j be c(w). Is 11 a factor of b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -51. Let f = -5 - -19. Calculate the remainder when p is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -706 - 3496 = 22*h. Let z = -194 - -1. Is z greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -34*g**3*m*r*x - 2*g**3*m*r + 864*g**3*r*x + 2*g**2*m*x - 40*g**2*m + 288*g**2*x - 2*r*x - 1 wrt g?\nAnswer: -204*m*r*x - 12*m*r + 5184*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 171*z**2 + 4*z + 171*z**2 + 150*z**2 - 490*z**2 - 4. Let c be 5\/(2 + -3 + 2). Let t(k) = k**3 + 2*k**2 + 5*k - 5. Give c*g(h) - 4*t(h).\nAnswer: -4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -6\/5, -5, -0.1, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109 + -104 + -2 + -25 - -38.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572479431.\nAnswer: 3, 190826477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 222843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23310 and 2615410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1271057, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 8, 0, 358, -3.\nAnswer: -5, -4, -3, 0, 8, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from flfizllzyl. Give prob of picking 2 l, 1 f, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = q - 252. Suppose 5*h - q = -3*k + 2*h, 0 = k + 5*h - 33. Suppose 2*f - 45 = f. Calculate the highest common divisor of k and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3164\/15 + 211. Let x(h) be the second derivative of -n*h**6 + 3*h + 0*h**4 + 0*h**3 + 0 + 0*h**5 - 3\/2*h**2. Differentiate x(o) with respect to o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1656\/13 + -11449\/91. What is the common denominator of v and -11\/62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/57)\/w*w*(w**(2\/65)\/w*w)\/w assuming w is positive.\nAnswer: w**(-3721\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 5*d - 10 = 0, 10841*h - 5*d + 45 = 10846*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -216\/19?  (a) -4  (b) 4  (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/5, 3\/2, -3\/35, -213, 12, 2\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1232\/(-396)*(1092\/480 - (-2)\/(-5))?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 256753 greater than or equal to 255281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 286 = -5*r + n + 317, 0 = -2*r - 5*n + 7 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 - 35. Let f(z) be the first derivative of 7*z**4\/4 + 1. Let h(x) = 36*x**3. Calculate p*h(v) + 21*f(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001111 - 10000101001?\nAnswer: -1110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -89099 + -222?\nAnswer: -89310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 0*o + 0*o**4 + 13\/3*o**3 + 0*o**2 - 14 + 14\/5*o**5. Find the third derivative of u(i) wrt i.\nAnswer: 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.164343 days to nanoseconds.\nAnswer: 532599235200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 11 = -4*q - 18, b = 2*q - 7. Calculate the highest common divisor of 4011 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/10 - 206960\/(-100). Calculate the highest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 17617362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.25 + -0.05. Let n = 430.8 - 424.8. Which is the second biggest value?  (a) -1\/6  (b) n  (c) 2  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -263*m - 44*m - 12*m - 19459 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4835542760.\nAnswer: 2, 5, 67, 1804307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1565759724 to the power of 1\/2, to the nearest integer?\nAnswer: 39570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.22 - -6.8. Let i = q - -0.82. Sort 2\/15, -0.3, i, 3.\nAnswer: -0.3, 2\/15, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6069)\/(-63) + 1 + (-1)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 80211 * 7.\nAnswer: 561477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 60199461 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: -50 divided by 399\nAnswer: -50\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**2 + 32648232*r - 32648235 = 0. What is r?\nAnswer: -10882745, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21918 = -16*l + 15778. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2249 and 692?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3 + 1 = 0. Suppose 0 = -n - m + 3. What is the third derivative of -o**6 + 2*o**6 + 3*o**2 - 2*o**2 - 4*o**n wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l. Suppose -2*i - 37 = 5*q, -i = -6*i - 5. Let f(r) = 13*r. Let p(y) = q*t(y) + 5*f(y). Let v(g) = 5*g. What is p(v(w))?\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21926, -43624, -65322?\n\"Answer: -21698*q - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -916.00517 + 916. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at most as big as 16484944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 9*g - 59031 = -3*q, -5*q = 2*g - 98359. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 19*y**2 - 40*y + 106. Let r be k(17). Suppose r*d - 3*s = 6 - 7, -5*d = 5*s - 25. Solve -15 = -5*i, -5*x + 4 = d*i + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/6 - (-1)\/2. Let i = 0.04 + -4.04. Put 0.4, l, i in descending order.\nAnswer: 0.4, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37988750 divided by -3.\nAnswer: -37988750\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 278.1*-3\nAnswer: -834.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = d - k, 4*d - k = 2*d + 16. Calculate the greatest common divisor of 63 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -13603, -27206, -40809, -54412, -68015, -81618?\n\"Answer: -13603*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2334*o**3 + 2337*o**3 + o**4 + 2*o**2 - 2*o**4 + (-2*o**3 - 2*o + 2*o)*(0*o - o + 0*o) + 2*o**4 + 0*o**4 + 3*o**4.\nAnswer: 6*o**4 + 3*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 5381 = 2*s + 5357, -4*i - 6 = -3*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4170873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/8 - (-15)\/(-36). Let i(s) be the second derivative of d*s**3 + 0 + 9\/20*s**5 + 0*s**2 - 4*s - 11\/12*s**4. Solve i(v) = 0 for v.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11353?\nAnswer: 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 126*c - 2 - 158*c + 3 + 31*c. Let f(g) = -6*g. Calculate f(q) - 5*m(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -11. Suppose -2*a + 2*k + k + b = 0, -2*a + 2*k = -8. Let q be 43\/4 - 250\/(-200). Calculate the greatest common factor of a and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 8 = 57. Suppose 3*v + 2 - t = -5*c, -10 = -4*c - 2*v. Solve 8 = -3*z - c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*q - 1480 = -10*q - 3367 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 130 + 33 = 19, 281*h - 93 = 279*h - 3*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3784, 3854, 3924, 3994, 4064, 4134?\nAnswer: 4204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 = 73*w - 109*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 13*j**2 - 2. Let w(p) = -7*p**2 + 1. Let l(i) = 6*o(i) + 11*w(i). Let t be l(0). Let y be (4 - t - -2) + 1. Solve 5*r - 12 = y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114973531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*6.78.\nAnswer: -6.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 2*z + 4. Let q be i(-3). What is the units digit of 18\/81 - q\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 12\/25 of a century?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0504 - -3.9496. What is the smallest value in m, 0, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 22*d - 34. Let w be i(8). Let b = -150 + w. Let l(r) = -r - 15. What is l(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 24*k**2 + 2*k + 49. Let i be n(-24). Solve -2*f = -i + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/7, -1, -4, 2, 4994 in increasing order.\nAnswer: -4, -1, 12\/7, 2, 4994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 10*q + 1. Let a be r(-5). Let i = -35 - a. What is the greatest common factor of 35 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**3\/s**2*s**(-7)\/(s\/(s*(s\/(s\/(s*(s\/(s*s*s**7*s))\/s)))\/s))*s**(2\/3)\/(s*s**(-2\/7))*(s\/(s*s\/(s**(2\/5)\/s)))**(3\/23) assuming s is positive.\nAnswer: s**(-39259\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.87248ml in litres?\nAnswer: 0.00587248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/668 and 22\/2 + (-28)\/(2094848\/822896).\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1723339?\nAnswer: 1723339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 plus -2.3?\nAnswer: 508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70874839 to the nearest integer?\nAnswer: 8419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**4\/11 + 144*b**3 + 1582*b**2\/11 = 0.\nAnswer: -791, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence omm when three letters picked without replacement from popooppompompooppp.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 21*p**2 + 15*p + 5. Determine z(18).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -813a5?\nAnswer: -813a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)\/(sqrt(28)\/sqrt(4)))\/sqrt(8))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 5*p + 97 = 8, 58 = h + 2*p. Let k(m) = m**2 - m + 7. Let q be k(10). Let i = q + -84. Calculate the greatest common divisor of h and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 91376507 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 158*p**2 + 153*p**2 - 3 - 538*p + 2.\nAnswer: -5*p**2 - 538*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 638600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1051079*o**3 + 6*o**2 - 1199*o - 42525?\nAnswer: 6306474*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**3 - 400*u**2 - 3086*u - 2688 = 0. What is u?\nAnswer: -192, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-1)*4 + 4. Let c(x) = -x + 2*x + w*x + 20 - 2*x. Let v be c(13). Let j(f) = -f**3 + 8*f**2 - 8*f + 2. What is j(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 5*k**2 + 6*k + 1. Let s(u) = -5*u - 1. Let x be s(1). Let q(n) = -6*n**2 - 7*n - 2. Let f(y) = x*q(y) - 7*p(y). Differentiate f(d) with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 - 56. Let g = y - -72. Let n = 25 + g. Which is bigger: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16269384331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2282490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -287, -595, -1033, -1613, -2347?\nAnswer: -3247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 4*u**3 + 3*u**2 - 2*u + 2. Let v(j) = 3*j**3 + j - 1. Let x(a) = -c(a) + 2*v(a). Let d be x(3). What is the greatest common divisor of d and 126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 169, -17.97, -19, -0.1 in ascending order.\nAnswer: -19, -17.97, -0.1, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 61*m - 338 wrt m?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13335 and 9906?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4949345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 13*k + 64 = 0. Solve b + 10 = 5*q, k*q - 2*b = 3*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1600 - -1600. Let q be 0\/(-3) + (-5836)\/50300. Let t = q - 2\/503. Which is bigger: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/(-4)*(-2712)\/(-1695).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 4*t + t)*(3 - 6 + 4)*(19*t - 2*t**2 - 19*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 9*p - 3. Let c be g(8). Let h(t) = t**3 + 7*t**2 - 5*t - 5. Let u(m) = m**3 + 4*m**2 - 3*m - 3. Calculate c*u(f) - 3*h(f).\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4)*12\/2. Let k(y) = y**3 + 3*y**2 + 2*y - 1. Let d be k(z). Round d to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 839*i + 321 - 319 - 2435*i - 2450*i - 211*i to j*i + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30\/7 + 4. Which is the closest to -1?  (a) n  (b) -0.3  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 227*n = 209*n. Let i(p) be the second derivative of -1\/3*p**6 + 0*p**3 + n*p**5 + 7\/6*p**4 + 0 - 5*p + 0*p**2. Find the third derivative of i(w) wrt w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 713396 is divided by 142677?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 20\/79, 1\/21, 16?\nAnswer: 20\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18830959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/2619 or 1?\nAnswer: -2\/2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 + 4*f**2 - 2*f**4 + 3*f**3 + 125*f**3 - 3 as i*f**4 + h + x*f**2 + m*f**3 + t*f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 3*p**2 + 3. Suppose -34*m + 38*m - 12 = 0. Let l = 3 - 1. Let u be (1 + 0 + -2)*l. Let v(g) = g**3 - 2*g**2 + 2. What is m*v(f) + u*s(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from {e: 3, i: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 82, -3, 177 in ascending order.\nAnswer: -3, -2, 3, 82, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*k**3 + (2*k**3 - k**2 + k**2)*(9 + 5 - 20) + 0*k**3 - k**3 - 3*k**3 + (-k**2 + k**2 - 2*k**3)*(2 + 0 - 1).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-2)*(31 - -17). Calculate the greatest common factor of d and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*x + 13*x + 6*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-4))\/((-7)\/(-28)). Suppose -4*m - 5*p + 40 = m, -3*m = -d*p - 12. Factor -m*i + 3*i + 2*i - i**2.\nAnswer: -i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 - 3 + 3 - w**2 + 3*w**2 - 5*w**2 + (-2*w + 2*w + w)*(-2*w + w + 0*w) - w - 5*w**2 + w + (-76*w + 457 - 457)*(3*w - w + 0*w).\nAnswer: -158*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d + 54 + 41 - 161 - 4*d. Let z be w(-15). Solve 8 = -28*l + z*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -1. Let s(k) = -7*k**3 - 7. Let p(o) = 14*g(o) - s(o). Find the first derivative of p(x) wrt x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -34. Suppose 0*u + 2*u = 5*m + 20, 8 = 3*u - d*m. Suppose r + 3*a - a - 2 = 0, 4*a + 20 = u. Solve -3*v + r = 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -11, 0.4, 10, -0.3, 2.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 270 - 269. Which is greater: -8.7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 574 a factor of 5338200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dyyd. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-55)\/5*41\/41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - 2*v - 6, -23*v = -4*f - 24*v - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22525896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 3. Suppose -m*f + 44 = 2*t - 10, 3*t - 3*f = 39. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 219.00378 + -219. What is n rounded to four dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*i - 58452*i**3 + 5*i**4 - i - 82 + 58452*i**3 wrt i?\nAnswer: 20*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a + 0 + 0 - 2*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of c**4\/12 - 4*c. What is the smallest common multiple of -1*2*(0 - 7) and y(-4)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27 or -346\/13?\nAnswer: -346\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 30 = -6*i. Calculate the remainder when (-3)\/(1 - (-16)\/i) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbqbqqbvbbqbbuqbubu. What is prob of sequence ub?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4500007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/264 and 43\/720?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3568 and 6467.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40 - (2 - (-2 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 4*p = -5*d + 90, p + 37 = d. Suppose -10 - 2 = -z. Let s = d - z. What is the remainder when 86 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143716337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d + 4. Let w be a(0). Suppose p = w*p + 24. Let f be (68\/p)\/(2\/(-4)). What is the highest common factor of f and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1170 at least as big as -1170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 50371762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12132143310 (base 5) in base 3?\nAnswer: -222222020211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -28*y**3\/3 - 7324*y**2 + 28288*y\/3 - 2096 = 0?\nAnswer: -786, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -16 - 5. Let m(j) be the second derivative of j**5\/20 - j**4 + j**3\/2 - 8*j**2 - 3*j. Calculate the remainder when m(12) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7928957.\nAnswer: 877, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -681 + -1*3\/(-15)*-5. Let w = t + 1008. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**5\/7 + 290*f**4\/7 + 1802*f**3\/7 + 1558*f**2\/7 - 7176*f\/7 - 10872\/7 = 0. Calculate f.\nAnswer: -3, -2, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -5*k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 36151 + 1?\nAnswer: 36152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -443043441?\nAnswer: -443043442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -j**5\/60 + 5*j**4\/24 + 5*j**3\/6 - j**2. Calculate the remainder when b(4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 29, 1, -35, -2\/7 in ascending order.\nAnswer: -35, -2\/7, 0, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -119 - -94. Let t be ((-6)\/(-15))\/((-14)\/w). Factor -4\/7*m**2 + t*m + 1\/7*m**3 - 2\/7.\nAnswer: (m - 2)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + a7a8?\nAnswer: a7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 12:36 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 7 + 4)*(-3 + 6*f**2 + 5*f**2 + 2).\nAnswer: -22*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 20 = 0, -4*v - 521 + 7 = 5*w. Let m = w + 111. Solve 6*y - m = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2238694 = -27229666. Let u = j + 493672. What is u rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(34\/(-2))*12\/(-6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 37, 62, 117, 214, 365, 582?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/6381  (b) -0.1  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/(-35) + (-228)\/(-7) + -3. Suppose -31*a = -y*a + 64. Let b = a + 150. What are the prime factors of b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 88 + -90. Let z be h\/(-6)*(-7)\/(28\/(-72)). Suppose z*l - 12*l + 246 = 0. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4422446 (base 7) to base 4\nAnswer: -2010230312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -879*f + 1894. List the prime factors of j(-38).\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(0 + -1)\/(-3). Let u = 695 + -690.18. Let h = u + -5.12. Which is the smallest value?  (a) h  (b) y  (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1427 a factor of 38490471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 132 - -18. What is the least common multiple of h and 110?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -37000?\nAnswer: -37003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5*((sqrt(729)*2 - sqrt(729)) + sqrt(729) + sqrt(729))*-4)\/(-3*sqrt(15)\/(sqrt(80)*-2)).\nAnswer: -2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(-2)\/(-8)*7. Let r = 32 - 29. Suppose -3*t = 2*t - 2*f - 40, -t + 8 = r*f. Which is bigger: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 - 13*k. Let r be q(0). Let v be 23\/(2\/16*1). Suppose -4*j + v = -r*j. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 4:19 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9031, 35865, 80603, 143257, 223839, 322361, 438835, 573273?\nAnswer: 725687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4820911 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237570*f + f**3 + 237570*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, -2\/7, 0.39 in decreasing order.\nAnswer: 0.39, -2\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/79 or -5.3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604556?\nAnswer: 2, 359, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c = -1 + 17. Suppose 0 = c*p + 4*y - 4, 5*p - 9*y - 10 = -6*y. Suppose 6 = 4*a + w - 14, 5*a + 2*w = 28. Solve 0 = p*s - 0 + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/25*1)\/(10\/150)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-8)\/(-132) + 237\/33. Let j(g) = -g**3 + 6*g**2 + 10*g - 22. Calculate j(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -512310 - 4?\nAnswer: -512314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 - 13 = 4*o. Let x be 5 + (-975)\/o - (-1)\/(-4). Suppose -4*l + 2*j = -x, 2*j - 130 = -2*l - 3*l. What is the lowest common multiple of l and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 283 - 35?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4902*s - i = -4898*s + 7, i = -13*s - 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r - 2. Let d be q(-2). Suppose d*x - 4*x = 2*m - 10, -2*m + 4*x = -26. Solve -m = 5*s + b, -b + 9 = -3*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {l: 1, b: 1, r: 2, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 > 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-9\/5)*a)\/a**(-7)*(a\/(a*((a*a*a*((a\/(a\/a**(-1\/6)))\/a)\/a)\/a)\/a*a*a))**(-2\/111) assuming a is positive.\nAnswer: a**(12013\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-188)\/(-10) - -3)*4\/16 and 91\/984.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*k = -16*k - 186. Let r(q) be the third derivative of -1\/60*q**5 + 0*q + 0 + 0*q**4 + 0*q**3 - q**k + 1\/120*q**6. Factor r(a).\nAnswer: a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -11 + 202\/18 + (-5)\/((-180)\/232624) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u + 8. Let x be r(-6). Let k be -2*-2*2\/(-8). Let n = x - k. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = b, 2*f + 3 = -3*b + 7. Let w(t) = 5*t**2 - 2*t**2 - b*t**2. Let x(k) be the first derivative of -2*k**3\/3 - 17. What is x(w(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (4 - -2 - (9 + -5)) - 22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k**2\/7 + 1828*k\/7 - 3544 = 0. What is k?\nAnswer: 14, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1816576890.\nAnswer: 2, 3, 5, 19, 71, 44887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of k**5\/20 + k**4\/2 + 7*k**3\/6 + 3*k**2 + k. Let f(j) = -j + 3. Let r be f(7). What are the prime factors of c(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 183 and 1?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 165, 298, 417, 516, 589?\n\"Answer: -f**3 - f**2 + 143*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34782115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - 21*v - 38. Let k be c(-19). Solve 3*h + 16 - 4 = k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -13*j**2 - 3*j - 10. Let q(h) = 11*h**2 + 2*h + 9. Let w(x) = -5*o(x) - 6*q(x). Suppose -12 = -3*f + 2*l, -5*f - 3*l + 12 = -2*f. Give w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 107 - 60. Suppose -m - 59 = -2*k. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9 - 24 = -f, x - 5*f + 3 = 0. Let u be ((-2)\/x)\/(1\/(-6)). Let q(l) = l**2 + 2*l - 5. What are the prime factors of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 * -12.1.\nAnswer: 193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 9*k**2 + 5*k - 61. What is y(-9)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 18261.909.\nAnswer: 7304.7636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 97912 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q - 4. Let g be 2\/(-8) - 77\/28. Let d(t) be the second derivative of -t**3\/3 - 3*t**2\/2 - 2*t. What is g*y(f) + 4*d(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 76*i**2 + 24 - 104 - 75*i**2 as x + a*i + q*i**2 and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2 = -6*w. Solve -2*i - 2 = -m + w, -3*i - 3 = -3*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22924)\/33 - (-1)\/(-3). Let a = 1164 + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 57*z + 48*z + 149 - 99 - 104*z + 177. Let n(p) = p**2. Give x(n(b)).\nAnswer: b**2 + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 5447*j - 10967. Calculate o(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3056, -44, -5, 35, 0 in descending order.\nAnswer: 35, 0, -5, -44, -3056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - ((5 - 8) + -2 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/10)\/(((-39)\/455)\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 0.5, 2\/11, 1\/5.\nAnswer: 0.05, 2\/11, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 239485050 divided by 23948505?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnwwnwnwnnnnnwwwwwwn. Give prob of picking 3 w.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 72301456.804 from 2.\nAnswer: -72301454.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5*(-14)\/(-30)*3. Suppose -2*p + 3 = -o, -4*o + c = 3*p - 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*13\/2 - 3. Let j = s - 15. Let p(y) = -y + 1. Let z(b) = 2*b - 3. Give j*p(q) + 3*z(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 187, 182, 177?\n\"Answer: -5*b + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + (-1 - 0) + 1. Let z(f) = -3 + 3*f + 2 - 4*f. What is the remainder when 3 is divided by z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 12*w - 40. Let z be r(-15). Let g be (42\/(-49))\/((-22)\/112). Is z smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 436.6 + 3.4. Let q = b + -442. What is the closest to 0.7 in q, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 2*n - n)*(0*n - 3*n + 2*n) + (3 + 2 - 3)*(3*n - 3*n - 6*n**2).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhuymuyhusyu. Give prob of picking 2 u and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38224*j**3*x - j**3 - 315*j**2 - 2*j - 2476*x - 19807 wrt x.\nAnswer: 38224*j**3 - 2476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -5*f - 7*g, -667*g = -2*f - 666*g - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15621131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 919 is divided by 439?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 2:37 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twtledldr. Give prob of picking 1 t and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1196*b**2 + 1196*b**2 - 576*b**3 + 588*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2011288424 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13728 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1749210 rounded to the nearest ten thousand?\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 399 divided by -133\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5e51 (base 15) to base 6.\nAnswer: 233021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 61292131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3087 and 2058?\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/2)\/l**(-3\/2))\/(l\/(l*l*l**(-7))*(((l\/l**(-6)*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -479*a**2 + 480*a**2 + 4*a + 6 - 21*a. Let q be z(16). Which is greater: -74\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3476891126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/9)\/b*b)**(-2\/5))**(-6)\/(((b*b**0*b)\/b)**(4\/17))**(-24) assuming b is positive.\nAnswer: b**(1304\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**3\/6 + h**2\/2 - h. Let x be b(2). Let v(o) = -3*o + 0*o + 3 + 0*o. Calculate v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0032 + 5.0032. What is the closest to 2 in -4, g, -17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - f**2 - 2*f - 1. Let g(i) = 8*i**3 + 6*i**2 + 7*i - 1. Let h(l) = -2*g(l) - 10*w(l). What is the units digit of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - 27*u**2 - 171*u + 15. Give j(-13).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -56.49365635 rounded to two dps?\nAnswer: -56.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.4 - 5. Let s = o + -0.5. Which is the smallest value?  (a) 5  (b) s  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 24*n**2 + 4*n + 91. Suppose 36 = 6*w, -3*m - 4*w - 27 = 21. What is i(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 0.413.\nAnswer: 0.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -47585.331.\nAnswer: -4758.5331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x*x**(-7\/5)*x)))\/(x\/(x*x*x*((x\/(x\/x**(6\/11)))\/x*x*x)\/x)))**(-7\/2) assuming x is positive.\nAnswer: x**(-1211\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 997199 - 2.\nAnswer: 997197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 731 + 4573?\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-15))**20\/(b\/((b\/((b*b**(-1\/48))\/b*b))\/b))**(-13))**(-16) assuming b is positive.\nAnswer: b**(13165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 9*f - 11. Let m(y) = y + 4. Let a be m(-7). Let g(h) = 11*h - 12. Let s(t) = a*b(t) + 2*g(t). Let i(p) = -p + 1. Determine 4*i(k) - s(k).\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1400 (base 11) to base 14\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2963355, 5926708, 8890061?\n\"Answer: 2963353*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**1*g*g*g**(2\/5)\/g)**38)**36 assuming g is positive.\nAnswer: g**(16416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 288 and 4448?\nAnswer: 40032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4332234 (base 7) to base 6\nAnswer: -15201113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*f - 0*f. Let n(x) = -11*x**2 - x + 1. Let s be n(f). Let j = 13 + s. Solve 0*v - v = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 12*f - 13 = -13*f, 90*n - 5*f - 35 = 90*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 971 + 127. Let v = w - 155. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64 and 16448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/5971355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2. Let j = -19 + 19. Let h(t) be the second derivative of 1\/3*t**3 + 0 + j*t**2 + t. Determine n(h(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*s - 2*z, -s + 3*z + 0*z - 3 = 0. Suppose 2\/11*i**2 - 2\/11*i + s = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-12)*(-6)\/4. Let z be (-72)\/(-15) + d\/(-5). What is the second derivative of 2*c**5 - c + 4*c - c**z wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1201578*h**2 - 13694 + 13694.\nAnswer: 1201578*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -210*n**5 + 5*n**4 + 3*n**2 - 103*n + 5. Let g(m) = -m**4 - 1. Let a(q) = 5*g(q) + k(q). What is the third derivative of a(w) wrt w?\nAnswer: -12600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from npqetjtpptneppp. What is prob of picking 1 t, 1 e, and 1 j?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwbh when four letters picked without replacement from whbbhhhwhwhhbw.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 101267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**4\/8 - 3*z**3\/2 + 25*z**2. Let u = -162 - -167. Calculate a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116329172.\nAnswer: 2, 19, 1530647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z = -z + 5*l - 48, -4*z - 50*l - 33*l = -82*l - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -9 - ((-40 - (21 - 19)) + 18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8e64c4 + -2?\nAnswer: -8e64c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4030 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(((y\/(y*y**(1\/20)*y))\/y*y)\/y)*y**(1\/4)*(y*y**11\/y)**(2\/19))**43 assuming y is positive.\nAnswer: y**(44591\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**2\/5 - 7402*w - 3094728\/5 = 0. What is w?\nAnswer: -18421, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**4 - 3*j**2 + 3*j**2 + (4*j + j - 2 - 2*j)*(-2*j**3 + 2*j - 2*j).\nAnswer: -4*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.038 * -0.236\nAnswer: 0.008968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 4:53 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, v: 2, a: 5}. What is prob of picking 1 x and 1 a?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 10426 and 43420776033?\nAnswer: 43420765607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1045100 (base 8) to base 15\nAnswer: 58487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*r + 8*r - 6*r**2 - 2)*(-3*r - r + r) as h + z*r + q*r**2 + v*r**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-1))\/(-1) - (-3 - 1). What is the closest to 2\/15 in -5, -3\/7, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38278 > 18965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1868, 3683, 5498?\nAnswer: 7313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/15*(-275)\/(-20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170) + (sqrt(170) - -4*(sqrt(170)*-2 + sqrt(170))))\/(sqrt(100)\/(sqrt(10)*1)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11113564 (base 7) to base 10.\nAnswer: -961720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-13\/4)\/f**(1\/11))\/(f**(-1\/7)\/(f**(-1)*f)) assuming f is positive.\nAnswer: f**(-985\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n - 40*n + 27 = -2*f - 27 + 20, -2*n = -f + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 679941907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 1551*u**2 - 52733*u - 40. What is t(34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-9) + 8\/36. Let n = 713 + -519. Suppose b = -5*t + 4*t + n. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3670*g**3 + 2*g + 1457*g**3 - 1315*g**3 - 2*g + 9541 wrt g.\nAnswer: -10584*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2540 - 2583 - 4*y**2 + 5198)*(5*y + 0*y + 4*y) in the form g*y**2 + m*y + x*y**3 + r and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 19*c - 10 = 0. Suppose -1806 = -c*a + 24. Suppose -8*b + a + 242 = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2070*a**2 + 10*a - 3. What are the prime factors of i(1)?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.6633027s to days.\nAnswer: 0.00011184378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -202.507466 rounded to the nearest integer?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 6. Suppose -3*t + 0*b - 2 = 2*b, 0 = 4*t + 2*b. Solve k = t*d + d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*r - 5*r - 2*r)*(0*r**2 - r**2 + 2*r**2) + (-1 - 4 + 6)*(-r**3 - r**3 - 3*r**3) + r**3 - 4*r**2 + 4*r**2 as c*r + y*r**3 + b + t*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 8*s**2 - 8*s - 4. Let c(l) = -l**2 + l - 1. Let f be c(-2). Let d be i(f). Suppose 5*x + 11 = 2*p, 0*p + 42 = d*p + x. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*z = -79*z + 3*x - 132, 3*x - 6 = 0. Sort -3, z, -11.\nAnswer: -11, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*w + 6*w, -5*z - 3*w + 59 = 0. Suppose -11*y + z*y = -2. What is the least common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 2862?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-5)*(5 + 0). Let p(c) be the third derivative of -c**6\/120 - c**5\/10 + c**4\/8 + 3*c**3\/2 + c**2 + 21. Determine p(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 1. Let w be 14 + 2\/(o - -3). Let f = w + -4. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6900437 and 1211824?\nAnswer: 2047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-2 - 1)*1. Suppose c*g = -0*g + 148. Suppose g = 2*t + 4*u, 3*t - 114 = -2*u - 11. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3586.142 years to centuries.\nAnswer: 35.86142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*x - 20*x - 75. Suppose -4*g = -g - x. Solve -d = 3*n + 2, -g*n + 3 + 7 = 5*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -15*d + 13*d, -3*m - 5*d - 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-78)\/21 - (-8 + 174\/21). What is the units digit of 164*(-9)\/o + (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j + 5. Let m be ((-6)\/4)\/((-1)\/2). Let l(i) be the first derivative of 3*i**2\/2 - 6*i - 2. Give m*l(y) + 4*q(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -410*v + 5323. What is a(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2\/7)*j)**17 assuming j is positive.\nAnswer: j**(204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2819 + -2789. What is the greatest common factor of 1470 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1428 divided by 17?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (0 + (sqrt(80)*-2 + 2 - (sqrt(80) + 1)*-1))*2)**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 357 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 13 - 12*m - 50 + 7*m. Let n be y(3). Which is smaller: n or -51?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3287 + 23011\/7. Let p = -326\/13789 - -3498827\/76253170. Let f = -1\/158 - p. Is b at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l + 36. Let w be i(-10). Let a be -6*(w\/(-14) + 26\/(-42)). Solve 2*h + 2*h - 6 = -a*o, -5*h + o + 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b = 15*b + 13414. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 143  (c) 0.063  (d) 1\/7  (e) -0.4  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-6) - (-37)\/(-3). Let t = 1 - p. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11788877 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -2, -2\/3, 12, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 78.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 0*m = -m + 7, 5*m = 15. What is the smallest value in b, 13, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-2\/7))**(-43)*b**3*b*b\/((b*b*b**(-2))\/b*b)*(b*b*b*b**(-6)\/b*b\/(b**(-2\/7)*b))\/(b\/(b*(b*b**0*b*b)\/b))**(-10\/11) assuming b is positive.\nAnswer: b**(-614\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v + 81. Calculate u(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1762*b**3 - 921*b**3 - 885*b**3.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -264 + 252. Let x(r) = -r**2 - 5*r + 5. Let p(z) = -3*z**2 - 12*z + 12. Calculate l*x(u) + 5*p(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4318 (base 11) in base 9?\nAnswer: -7740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((5 - 1)\/(-12)). Let i be (-1)\/(-3)*8\/(-120)*-5. Which is the second biggest value?  (a) -1\/5  (b) i  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1742363 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 6:13 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 5*w - k + 3*k, -w + k - 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/75 + 22\/225. Which is the smallest value?  (a) n  (b) -1\/8  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 525520244 (base 6) to base 5.\nAnswer: 4330422204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 1. Suppose -24 = 4*i + 3*h, 0 = -2*i + 2*h + a*h + 10. Let l be -2 - -2 - (168\/(-78) - -2). Sort 1, i, l, 5 in increasing order.\nAnswer: i, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1156 + -1135. What is the second smallest value in 0.4, z, 1\/5, -0.13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2. Let d(k) = -66*k - 14080 + 14080. What is g(d(l))?\nAnswer: -4356*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 31\/2 of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(2\/49)*s*s)\/((s**15*s)\/s*s))\/(s*(s*(s\/(s**(-9)\/s*s))\/s*s*s)\/s)**(2\/5))**(-13) assuming s is positive.\nAnswer: s**(59748\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/5 - 51924*q\/5 - 19288648.\nAnswer: -4*(q + 2246)*(q + 10735)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.38 + 1.37. Let i = d - -1. Which is smaller: i or 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12.87 + 13. Let v = -6.13 + t. Let x = v - -5.9. Which is the nearest to x?  (a) -1  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 141\/20 - 7\/(-28) and (320\/(-168))\/((-3)\/7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o*o**(2\/19)\/o*o)\/o*o)\/o*o**(-8)*o\/o**(2\/19)*o*((o**(4\/9)*o)\/o)\/o)\/((o**(-1))**42\/(o**(1\/4)\/o)**(2\/15)) assuming o is positive.\nAnswer: o**(3271\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -15, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2449617793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1017780.5 + 1017780.36900059. Let m = -153.131 - -153. Let b = k - m. What is b rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 3*t = 10, -t - 1 = -2*n + 5. Does 23 divide -2*(75\/(-6) + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - m + 2 - 4*m + 0*m + 5*m - 2*m + 0*m + 0*m - m + 2*m - 3*m - 3 + 3 - 2*m + m - m + m + (0 + 2*m + 0)*(-2 + 0 + 3) + 0 - 3*m + 0.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 110083511 divided by -589\nAnswer: -186899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d + 742. Let r(m) = -3033*m**2. Calculate p(r(s)).\nAnswer: 3033*s**2 + 742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-2) + (-10)\/(-20). Let b(i) = -i**3 + 16*i**2 - 14*i - 12. Let h be b(15). Suppose y - h = 4*y. Sort 0, x, y in descending order.\nAnswer: x, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - -5*sqrt(180)) + (sqrt(1280) - (-2*sqrt(1280) - sqrt(1280))))\/((sqrt(32)\/sqrt(2))\/sqrt(4) + sqrt(4)*1*-2).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 - 24735*d + 24735*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 3:10 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b**(-2\/15)*b))\/b**(-3\/7)*b**(-3)\/(b*(b**(-8)\/b)\/b*b))\/(b**(3\/5)\/(b*b**(-3)))**15 assuming b is positive.\nAnswer: b**(-3406\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1 + sqrt(242))*6 + ((sqrt(242)*3 + 2)*5)**2.\nAnswer: 3366*sqrt(2) + 54560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of 679*q**4\/24 - 193*q**3\/2 + 2*q**2 - 178*q. Find the first derivative of c(h) wrt h.\nAnswer: 679","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) - sqrt(243)*-4)**2 + sqrt(243) + sqrt(243))*1.\nAnswer: 18*sqrt(3) + 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 - 7) + 0 + (41121 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 698.343 millennia in months?\nAnswer: 8380116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -42 - 125120?\nAnswer: -125202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (144\/(-12))\/(1\/(-2) + -1). What is the units digit of ((-26)\/q)\/((-1)\/240*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330888101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*v**2 + 2*v**2 + v**2)*(4*v + 1316 - 1322 - 14*v) + (-2 + 4 + 0)*(0*v + 0*v - 2*v**3) in the form q*v**2 + s + o*v + u*v**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/13  (b) 1\/3  (c) -5  (d) -15.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f - f + 0*f + (4 + 0 + 3)*(4 - 5*f - 4) to the form x*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003916 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 41424642 (base 8) to base 15\nAnswer: b8a2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6947252 millennia in centuries?\nAnswer: 6.947252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-38)\/(-12) - ((-774)\/(-108) - 7). Solve -6 = u*k + 12 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34162, -136637, -307424, -546523, -853934, -1229657?\nAnswer: -1673692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15378*u**3 - 7686*u**3 - 7691*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 0 - 8*c**2 + 5\/2*c**3 - c - 1\/12*c**4. List the prime factors of r(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 61 = -4*r, 4*r + 54*j = 55*j + 17 + 38 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -1378*g - 35842. What is l(-26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-2\/5))**(-1\/19))**(-25))**(3\/32) assuming q is positive.\nAnswer: q**(-15\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8  (b) 7\/4  (c) 2\/7  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -11. Let y be h*3*(2 - 5\/3). Suppose 5*v - y*l = -l - 24, l = -v - 2. Is v at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23399204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 1400*u + 9817. Determine x(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21776417981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**5\/20 + z**4\/8 - z**3\/4 - z**2 - z + 22. Let t(b) = 0. Calculate b.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {p: 2, k: 1, f: 1, w: 1, u: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -3  (b) 49  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 7 - 19*q**3 + 15)*((1 + 1 - 4)*(1 - 1 + 2) + 0 + 1 - 2).\nAnswer: 95*q**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**3 - 97*v**2 + 6110*v + 12600 = 0. What is v?\nAnswer: -140, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -3*d**2\/2 + 36*d - 11. Let m be s(0). Does 8 divide (m\/7)\/((-18)\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**4 + 2*c**4 + 2*c**4 + (-21*c + 7*c - 30*c)*(2*c - 3*c**3 - 2*c) + 2*c**4 + c**4 - c**4.\nAnswer: 135*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 4)\/(26\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24 + 3250\/(-135))\/(5 - 4)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -9 - 2 - (8 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44 + -24. Calculate the least common multiple of (-4 + (-36)\/3)*(-6)\/12 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1480345556 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-1)\/((-2)\/5). Let u(w) = 2*w - 1. Let t(z) = 4*z - 2. Let b(d) = -3*t(d) + 5*u(d). Is 11 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 1:14 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from cbccbccbcc?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/11)*n)**(-1))**8 assuming n is positive.\nAnswer: n**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 - 51*b**2 - 97*b + 123. What is x(-49)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3.81275 or 2\/7?\nAnswer: 3.81275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*q**2 - 18*q**2 + 62*q**3 + 17*q**3 + (2*q - 2 + 2)*(-4*q**2 - q**2 + 3*q**2) + q**3 + 2*q**3 - q**3 as r*q + a*q**2 + b*q**3 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.1 + -2. Let n = 98191\/4 + -24549. Which is the second biggest value?  (a) n  (b) 0.2  (c) l  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 4, 2, 1, -2\/33 in descending order.\nAnswer: 4, 2, 1, -2\/33, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**4\/34 + 650*w**3\/51 - 26243*w**2\/17 - 53138*w\/17 + 829. Factor l(o).\nAnswer: -2*(o - 163)**2*(o + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of p**3\/2 - p**2 - p. Suppose 7 = -5*w - 3*d + 28, 4*w - 33 = 3*d. What are the prime factors of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 15 + -18 + 21 - (-3 + 3 + -33)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 117819050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*k + 13*k = -k - 255 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25601 (base 15) to base 16.\nAnswer: 1d2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 minus -236112413687037?\nAnswer: 236112413687036.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1465 - 2294 = -549*z + 2465. Let b(o) = 0*o + o**3 + 4*o + 2*o - 7*o**2. Calculate b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3381 and 937664?\nAnswer: 2812992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {v: 2, n: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 117573 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yypyppp. What is prob of picking 1 p and 1 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 8046?\nAnswer: 8047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (780\/(-40))\/(4683\/892).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 2*w**2 + 3837*w + 22990. Determine l(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121187022 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wuuwwww. What is prob of sequence wwuu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32 in 59, -16, 2\/3, 1\/4?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5661280 divided by -3452?\nAnswer: -1640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 957 and 10266?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73\/(-7) + (5 - 325\/117)*135\/30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20.3 - 20. What is the nearest to 0 in y, -5, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.69 in -35, 3\/7, 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 36 = -180. Let t = -22 + z. Suppose n + t = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-1\/2)*o))**(-31)*o**(2\/71)*((o*o**(3\/14)*o)\/o)\/o assuming o is positive.\nAnswer: o**(-7583\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3758\/11?  (a) 1.5  (b) -15.4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of p**7\/504 - p**6\/240 - p**5\/60 - p**4\/6 + 2*p. Let r(s) be the third derivative of v(s). Factor r(q).\nAnswer: (q - 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -17. What is the common denominator of (-6)\/(-21) - (i - 41\/(-21)) and 59\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227, -439, -651, -863, -1075, -1287?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2\/(-10))\/1*365*22\/(-7920) and -29\/48.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2200*p + 123. Let u(m) = 733*m - 40. Let k(o) = -3*j(o) - 8*u(o). What is the tens digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 104 + 11372630?\nAnswer: 11372734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*n**2 - 6*n**2 + n + n**2 in the form o + s*n**2 + u*n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, v: 4, z: 1, j: 1, y: 1}. Give prob of sequence jby.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 456893, 3654414, 12333401, 29234588, 57098709?\n\"Answer: 456789*m**3 - m**2 + m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 6 - 29 = 0. Let h be (12\/(-8))\/((-7)\/(-2)). Sort 7\/3, l, -0.5, h in decreasing order.\nAnswer: l, 7\/3, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-10)*(1 + 3). Suppose -2*p - 4*m + 3*m + 12 = 0, 2*p + 4*m = 24. Solve -3*u - 3 = d - p*d, -i*u = 3*d + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 + 4*q**2 - 4*q**2)*(-521*q + 521*q + 21*q**2) + (-2*q + q - q)*(-2*q**3 - 2*q**4 + 2*q**3).\nAnswer: 67*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g**2 + g**3 - 2*g**2 + 7*g**2 - 19265 + 19265.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**3 + 307*r**2 + 6989*r + 8259809.\nAnswer: -6*r**2 + 614*r + 6989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 + 1426 = -6*h. Let n = 134 + h. Let s = 18 - n. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24812 is divided by 8269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 73944, 147886, 221828, 295770, 369712, 443654?\n\"Answer: 73942*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ilfeeuliluiiluef. Give prob of sequence lui.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51758 = 16*u + 51806 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2. Let c(l) be the second derivative of l**6\/72 - l**3\/6 - l. Let u(b) be the second derivative of c(b). Determine u(n(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*z + a - 9, 2*a = 6. Let s(c) = -10*c**2 + 8*c**2 + 1 + 2 - 2 + 4*c**3. What is s(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 7:23 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wriaajs. What is prob of sequence rw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34306 and 923746.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/(35\/(-15)) - 12\/(-2). Let p be 53\/d - (-13)\/(351\/(-18)). Suppose -14*r + p + 151 = 0. What is the smallest common multiple of 57 and r?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t + 114 - t**3 - 333 + 2*t**3 + 111 + 106 + 27*t**2 to d*t**2 + v*t**3 + p*t + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7922 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -3  (b) -4  (c) -1  (d) -3\/1079\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -4*z - 48, 5*o - 10*z + 12*z + 3 = 0. Put 2, -22, o, 141 in increasing order.\nAnswer: -22, 2, o, 141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256 a factor of 33008115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1597, -1619, -1627, -1615, -1577, -1507, -1399, -1247?\n\"Answer: o**3 + o**2 - 32*o - 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-35)\/(-2))*35. Suppose -72 = w*c - 13*c. What is the greatest common divisor of 192 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 2*j - 560628, 118374 = j - 5*x - 161925. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 412*g*s**5 + g*s**2 + 2*g*s - s**2 wrt s?\nAnswer: 24720*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24393\/16 + -1524. Let v = -1\/2150 + 36017\/9675. Find the common denominator of v and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-2 - -8) - (-467 - -470)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s + 32*s**2 - 16*s**2 + 4*s**3 - 42*s**2 - 6*s**3 - 8*s**2 as q*s + r*s**2 + i*s**3 + v and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from sbis?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 114115013\/1275 - 89502. Let c = j + 15068\/240975. Find the common denominator of 55\/4 and c.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -218 - -4772. What is the remainder when a is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4*q + 0*q + q - 2*q. Let p(v) be the third derivative of v**4\/12 - 6*v**2. Determine p(t(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-1)\/(-1)*4\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -46, -58, -68, -76, -82, -86?\n\"Answer: o**2 - 15*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*z - 1989 = -5*g, 4*g + z - 1590 = 0. Calculate the remainder when g is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + h + 1 = 4*l, -3 = 5*l - 4*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 24 - 4, -k - 5*p + 7329 = 0. Let g = k - -5089. Suppose g = -2*w + 2193. What is w rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 720702 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6101*g + 5301*g + 48000 = 0 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -313 - -338. Suppose 10*c - h*c + 6735 = 0. What are the prime factors of c?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-7 - (3 - (7 - 1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 12*t**2 + t + 11. Let f be l(-12). Let j be (2 + -1)*(-4 - 1). Put f, j, -4 in ascending order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 - 3*n**2 - 6*n**2 + 14*n - 13*n.\nAnswer: -10*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1221510 - -6.97.\nAnswer: 1221516.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.694 - 0.64. Let j = z - -0.246. Sort j, 2\/9, 0.2 in increasing order.\nAnswer: 0.2, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 20125 = -15*z. Let b = -511 + z. Calculate the remainder when b is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -177*z. Let v(y) = -24426*y. What is -6*v(a) + 826*w(a)?\nAnswer: 354*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 961272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -96 - -27. Let n = 3221062245.99999959 + -3221062177. Let h = b + n. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 4  (b) 0  (c) 2  (d) -167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 11:53 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m - 3. Let r(f) = -3*f - 10. Let u(v) = 14*d(v) - 4*r(v). Let s(p) be the second derivative of -5\/6*p**3 - 3*p**2 + 0 + p. What is -3*s(z) + 8*u(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-32)\/15)\/(-1) - 2. What is the nearest to 2 in -0.3, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000451589 to 7 decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 2ab07a?\nAnswer: 2ab07a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 5 = 3*o - f, 0 = 2*f - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/14 - 136\/(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3226 - 2860.9. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 15 = 5*s + 3*l, -s + 3*l = -9. Solve 2*q + s = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 104 by -4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s - 2. Suppose 3*r = -2*r - 5. Let g = -2 + 1. Let t(w) = 748. Let q(n) = -299. Let p(f) = -5*q(f) - 2*t(f). Determine g*p(v) + r*h(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8*(-4)\/16)\/6. Which is the smallest value?  (a) -1\/5  (b) s  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/3))**(27\/5)*v\/(v**1*v)*v*v**(-1\/3)\/v*v)**(1\/15) assuming v is positive.\nAnswer: v**(-59\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddsdfddssddsdfdf. Give prob of sequence fff.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n, 18*n + 1 = -r + 14*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*c - 18. Suppose 0 = 3*u + 2*u - 10. Suppose -u*b + z - 16 = -4*z, 0 = -3*b + 5*z - 14. Calculate the highest common divisor of c and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35814249 by 8.\nAnswer: 35814249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*m + 615*m = 56*m - 21945 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 21. What is the smallest common multiple of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - 25 - (41 + -78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1+702200143\nAnswer: 702200144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 4*q + 62, 0 = -24*c + 4*q + 19958 - 19786 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 468485 divided by 1.\nAnswer: 468485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 493937822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/3349766 and -151\/249672?\nAnswer: 40197192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -2\/201, 2\/7 in ascending order.\nAnswer: -2\/201, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 5*l. Which is the second smallest value?  (a) -1\/4  (b) l  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2\/4 + 130011*o\/4 - 129999.\nAnswer: -3*(o - 43333)*(o - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -144.24 + 144.58256. Round j to three dps.\nAnswer: 0.343","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 5:49 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 188 divided by -3.\nAnswer: -188\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 4:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - (9 + (1 - 1) - (-1131 + 1139)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3136330755 and 3285?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 786\/5 at most as big as 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0 = -9. Let d(n) be the second derivative of -6*n - 1\/3*n**o + 0 + 1\/2*n**2 + 1\/12*n**4. What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-11) - (-435)\/(-33). Let a = y + 44. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -890*l - 181. Is m(-37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -771, -1545, -2327, -3123, -3939, -4781, -5655?\nAnswer: -6567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2363, 2354, 2339, 2318, 2291?\nAnswer: 2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/67, 2, -5\/2 in descending order.\nAnswer: 2, -3\/67, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 300\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**10\/560 + 2*g**6\/45 + 5*g**3\/3 + 7. Let f(w) be the third derivative of x(w). Find the third derivative of f(p) wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - d**2 - 2*d + 3. Let z be y(2). Suppose -z*l = -l - 10. Put -1, l, 2 in increasing order.\nAnswer: -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 2*p**2 - 14*p + 2. Let i be y(5). Suppose -2*r - i = -15. Find the second derivative of 6*h + 0*h + 9*h - 15*h**4 + 5*h**r wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-45)\/6*(-8)\/(-6). Let m = q + 20. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-4) + (-6)\/12. Let v(p) = -p**3 + 3*p**2 + 4*p - 2. Let o be v(4). Let t = 3 - 1. Sort o, n, t in descending order.\nAnswer: t, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -260 - 4*c + 8*c + 93*c**2 - 2*c - 3*c.\nAnswer: 93*c**2 - c - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -10*l**3\/3 - 15*l**2\/2 - 5*l + 16. Factor b(r).\nAnswer: -5*(r + 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 42 = t. Suppose 5*m + 30 = 4*c, 4*m - t = m. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + o + 15, -g = g + 3*o + 13. Let f(u) = -u**2 - 9*u + 2. Let r be f(g). Let b = -150 - -155. Solve -q - 2*q - r = -j, 2*q + 35 = -b*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 30*x**4 + 10*x**3 - 25*x**2. Let p = 37 - 33. Let l(q) = 29*q**4 + 9*q**3 - 25*q**2 - q. Let m(o) = p*a(o) - 5*l(o). Let m(c) = 0. What is c?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -895, -851, -785, -703, -611, -515, -421, -335?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 5. Let d be ((-2)\/20)\/((-3)\/(-18)). Let v = -386 - -390. What is the closest to g in v, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7004305892 to the power of 1\/3, to the nearest integer?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -10. Let u be -11 + 14 + 1*74. Find the common denominator of 25\/18 and n*3 - 66\/u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.417131 rounded to two dps?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of r**3 - 4*r**2 + 24*r. Is b(21) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 + 6*f + 2. Suppose -v + 21 = l, 0*v - v + 9 = -5*l. Let g = -14 + v. Suppose 4*p = 4*k - 20, -2*k = k - g*p - 15. What is b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/7))**(-36) assuming f is positive.\nAnswer: f**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1190 + -1037. Calculate the remainder when u is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13427115517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4801877, -9603755, -14405633, -19207511?\n\"Answer: -4801878*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 59*r**3 - 7*r**2 - 6*r - 1. Let g be q(6). Suppose 2*k - g = -5*c, 0 = k - c - 3883 - 2334. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57617273*g**2 - 9025666*g wrt g?\nAnswer: -115234546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 0)*(-5*p - p + 4*p) + 0*p - 4*p + 20*p + (3 - 3 + 1)*(0 + 2*p + 0) + 3*p + 4*p + p to the form y*p + m and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2*d - 1, 2 = 2*d - 2*i + 6. Let h(t) = -t**2 + 2*t**2 + 8 - 5 - t**d. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 927 is divided by 367.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58839 + 11674*v - 58839.\nAnswer: 11674*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3073411 + -103?\nAnswer: 3073307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 4, 2*c - 8 = -6*v + 9*v. Let f(r) = 5*r - 11. Let t be f(c). Solve -8 = 2*k, k = 2*z + 3*z - t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 19 = 6*p - 5*p, -2*q + p = -2. Let o be 0 - (-3 - 64)*1. Find the first derivative of n**q + o + n**3 - 108 + 59 wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 272 = -7*x + 3*x, 0 = 4*x + m + 276. Let f = 85 + x. Calculate the remainder when 36 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2. Let x(c) be the third derivative of -c**4\/12 - c**2. Give x(h(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 6:29 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208 = 4*s - 80*a, s - 4*s + 35 = -7*s - a for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-3) - (-3)\/1. Suppose 0 - 6 = -s*m. Suppose -2*f = m*f - 45. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -46*d + 465. Let f be i(10). Sort -3, -4, f, 1 in increasing order.\nAnswer: -4, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1810379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a + 43. Let i be b(-21). Let c(w) = 39*w**2 - w + 1. What are the prime factors of c(i)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-14)*(154\/3)\/11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35004 is divided by 103?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1204, 11, -30.14?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/2 - 18095*c**2\/2 + 24660875*c\/2 - 8749028125\/2.\nAnswer: (c - 16645)*(c - 725)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.389327 to two decimal places.\nAnswer: -20.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 656107961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i + 33. Let k be m(-14). What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/11 + 64*k**3\/11 + 570*k**2\/11 + 900*k\/11.\nAnswer: 2*k*(k + 2)*(k + 15)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41335207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 0)*6\/3333. Let y = -61119\/7777 - l. Let d = 2879\/4 - 715. Calculate the common denominator of y and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9, 31, 67, 117, 181?\n\"Answer: 7*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a + 238 = 10*a. Let i be 20\/170 + (-66)\/a. Put 1, -6, i in ascending order.\nAnswer: -6, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40281?\nAnswer: 3, 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*s - 15996 - 5154. What is the least common multiple of s and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1230 - 4913\/4. What is the third smallest value in k, -4, -0.26, -5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 50 and -15.277?\nAnswer: -763.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56\/3*l - 20 - 11\/3*l**2 - 1\/3*l**3.\nAnswer: -(l - 2)**2*(l + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.126 + -0.027. Round z to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 17*g = -38. Suppose -l - g = -m, 9*m - 8*m + 2*l = 2. Solve -m*a - 15 = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(468)*2 + 1 + 2*sqrt(52))**2 + 3)*-1.\nAnswer: -3327 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 30*m**2 + 450*m + 21. Let a be c(-15). What is the nearest to a in -0.4, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -302*u + 116*u - 6510 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5836 - -4349?\nAnswer: 9b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 - 2*i**3 + 0*i**3)*(0*i + 6*i + 0*i).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 + 177*x - 1063. Let o be q(82). Determine w, given that 2*w**2 + 0*w - 8\/3 - 2\/3*w**o = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 4*j = 5*z - 16, -4*j - 12 = 0. Is (5\/z)\/(4\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -237 + 24?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -367.33 - -364. Let g = -0.33 - k. What is the fourth biggest value in 2, -6\/7, 4, g?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6262*p = 5*l - 6261*p - 172, -l + p + 49 = 11 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**2 - 21*i - 7. Let f be x(11). Solve f*z = -z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 - 10*h + 18. What is b(5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 500*z = 501*z + 12. Is ((-504210)\/(-8))\/5 + 3\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4603 + 696 = -14*q - 211. Calculate the greatest common factor of q and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 475 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a hour in seconds?\nAnswer: 91800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17.4 - -10. Let m = o - -7.47. Sort m, 6\/7, -1\/6 in decreasing order.\nAnswer: 6\/7, m, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.1620429ml?\nAnswer: 0.0001620429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3 = k, 4*k - 1 = -l + 2. Suppose -62 = -l*x - v + 18, 70 = 2*x + 4*v. Let w = x - 15. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of (-4848585)\/(-175) + (0 - 12\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/x**(5\/6)*x*x**19 assuming x is positive.\nAnswer: x**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 4*p**3 + 102*p**2 + 346*p - 1874. What is m(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*t + 358 - 358 - 2*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2061 + -468. List the prime factors of b.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 47451, 47444, 47437, 47430, 47423, 47416?\n\"Answer: -7*a + 47458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 5 + 4)*(-2*l**5 - l**5 + 2*l**5) + l**2 - 2*l**5 - l**2 + (2 - 6 + 0)*(-220*l**5 + 339*l**5 + 689*l**5))*(-1 + 2 + 0).\nAnswer: -3239*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -41\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - q + 93 = 0. Is q\/3 + 4\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -1049*i + 678676. Calculate l(648).\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 252 + -250. Factor 2\/7*y + 0 + 2\/7*y**g.\nAnswer: 2*y*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -209910700 * 0.1.\nAnswer: -20991070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*c**3 + 192*c**3 + 147*c**3.\nAnswer: 393*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -297829, -594675, -891521?\nAnswer: -1188367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -268307945 and -3?\nAnswer: 804923835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -220987.999798467 + 220988. What is b rounded to six dps?\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1307, -1309, -1313, -1319, -1327, -1337, -1349?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + 11*m - 7. Give b(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1577.059 rounded to the nearest ten?\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**3*k**2*n**2 - 2*b**3*k*n**2 + 54*b**3*n**3 - 45926*b*k**2*n**2 + 180*k**2*n**3 wrt n?\nAnswer: 324*b**3 + 1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 5 + (-1 - 2 - 5)*(1 - 1 - 2))*(-3*x**2 + 2*x - 2*x - x).\nAnswer: -45*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b**2 - 19*b - 8. Let w be y(9). What is the lowest common multiple of (-16)\/(-10) - 1 - (-3393)\/w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) - 70\/(-4). Suppose -z - 3*z = 5*w - 1, 3*w = 2*z - g. Solve 2*o + 12 = -z*j, 17 = 5*o - j - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -142 + 0?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288738 is divided by 58.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o**2 + 0*o**2 + 10*o**2.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16507 is divided by 383.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16409 + 7779 = -1001*w + 28407 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-7) - 20\/(-70). Calculate the greatest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -21 - (23 - 65).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 66\/221 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14027654*m*r**2 - 20*r**2 - 2387682*r wrt m?\nAnswer: 14027654*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 893, 6, 14, -5, -2 in descending order.\nAnswer: 893, 14, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8199627 to the power of 1\/2, to the nearest integer?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25004 or 2377?\nAnswer: 2377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5865318 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -9*b**2. Suppose -6*d + d = 0. Let u = 20 - 17. Suppose u + d = 3*i. Determine v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/((3 - 1) + 0). Let t(m) = 0*m**3 - m**2 + n*m**3 - 2*m**3 - m + 1. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -52 in 28, 0.3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 39 - 39 - a. Let s(o) = -o**2. Let v(z) = 4*z**2. Let f(d) = 3*s(d) + v(d). Give l(f(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -7*c**3 - 2*c - 5. Let p(v) = v**3 - 213*v + 106*v + 0 + 107*v + 1. Determine o(q) + 5*p(q).\nAnswer: -2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 97\/3  (b) 5\/2  (c) 2  (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/14)\/(58\/37). Let p be 59 - 66 - (-2 + 45\/(-29))*2. Let u = q - p. Which is the closest to u?  (a) -0.3  (b) 0  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (56 - -2) + (-45 - -24) - -27\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 19*o - 3. Let i(n) = -37 + 9*n + 137 - 56 - 46. What is 5*i(c) - 2*m(c)?\nAnswer: 7*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10600009*o**2 + 1349*o + 104 wrt o?\nAnswer: 21200018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**4 + 73148*x**3 - 665303810*x**2 - 64545067200*x.\nAnswer: -2*x*(x - 18335)**2*(x + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (414*y**5 + 414*y**5 - 655*y**5)*(33 - 13 - 10 + 41).\nAnswer: 8823*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -189, -1899, -6531, -15549, -30417, -52599, -83559, -124761?\n\"Answer: -244*t**3 + 3*t**2 - 11*t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33672018 to the power of 1\/2, to the nearest integer?\nAnswer: 5803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 245 - 258. Let y(p) = -83*p + 54. Is y(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.037 + 0.037. What is the second smallest value in -5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 8 + 12)*((-3*n**2 + 1 - 1)*(2 - 2 + n) - 3*n**3 + 2*n**3 + 3*n**3).\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 486 and 162.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 880*c**3 + 4*c**2 + 48*c + 1235. Let u(g) = -880*g**3 - 3*g**2 - 36*g - 1234. Let p(m) = -3*f(m) - 4*u(m). Differentiate p(x) with respect to x.\nAnswer: 2640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 115024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2152 is divided by 430.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 5*y**2 + 3. Suppose 0 = d - 3*d - 2*l + 14, 5*d - 51 = -l. What is the remainder when d is divided by t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1770444 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2\/3, 0.3, -3\/4, 544812 in descending order.\nAnswer: 544812, 2\/3, 0.3, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -43 - (3 - 24\/4). Let j = 45 + k. Solve 0 = r - 2*d - 2 + 1, -j*r - 16 = -3*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbhbbbbhh. What is prob of picking 2 h and 1 b?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -26*v + 3. Give k(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -344*c = -195*c - 894 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.735596 centimeters to micrometers.\nAnswer: 37355.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46734116*d**3 - 526*d**2 + 147291*d wrt d.\nAnswer: -280404696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, -0.5, 3.\nAnswer: -0.6, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.068969686 to five dps.\nAnswer: -0.06897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -4, -5, -46, -128, -1, -3.\nAnswer: -128, -46, -5, -4, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, q: 1, g: 1, x: 5, m: 4}. Give prob of sequence xim.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j. Let f(v) = -18736*v - 9. Determine f(p(g)).\nAnswer: -37472*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -31 - -5917d?\nAnswer: 5914c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 44155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 677*c - 2 - 241*c**2 + 0 - 678*c as h*c + w + a*c**2 and give a.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18230*i**2 - 50 + 50.\nAnswer: -18230*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-8)*20\/(-150)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 11:52 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 7, -18, -75, -176?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93226?\nAnswer: 2, 7, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 560557259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 216 = 2*n. Let o be 2\/(-3)*(n + 18). Put o, -2, 1 in decreasing order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41025 and 4575?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, e: 2, z: 1, n: 6, f: 3}. Give prob of sequence ff.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20154001 + -5?\nAnswer: -20154006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ffffnfnfffffffnfffn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 4*l**2 + 0*l**3 + l**3 - 5*l**2 - 1. Let t(v) = -v**3 + 3*v**2 + v + 3. Let f(r) = 3*h(r) + t(r). What is the second derivative of f(y) wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -14*u**2 + 8*u + 8. Let h(s) be the first derivative of 3*s**3 - 5*s**2\/2 - 5*s + 2. Calculate -8*h(k) - 5*p(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of j**4\/30 + 13*j**3\/15 + 6*j**2 - 47*j + 33. Let q(x) be the first derivative of w(x). Factor q(m).\nAnswer: 2*(m + 3)*(m + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h - 2. Let y be q(5). Suppose -d - 15 = y*u - 5, 2*u = -2. Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 13453101?\nAnswer: -13453100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31.6 - 32.6. What is the second smallest value in 5, -0.21, l?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 165*v - 25*v - 5*v = -4050 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 357*r + 377*r + 21107*r**2 + 10871*r**2 - 734*r to the form p*r**2 + v*r + h and give p.\nAnswer: 31978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -8*k**2 + 243*k + 204. Determine u(31).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 m when four letters picked without replacement from {h: 3, x: 2, p: 1, m: 3, d: 1, r: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 4:07 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -330164\/15 - -22011. Sort -4, 8\/3, 4, q in decreasing order.\nAnswer: 4, 8\/3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 2. Let b be u(7). Solve b = -3*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10663330 (base 7) in base 15?\nAnswer: -1387ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 + -36. Let v be 1\/((b\/(-16))\/((-54)\/(-8))). Let d(h) = h**3 - 17*h**2 - 16*h - 20. List the prime factors of d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-8 - (2 + -3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.01 - -3.13. Let d = -11.69 - w. Round d to 1 decimal place.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34659 by 11553.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13347*v**6 - 923*v**5 + 16328321*v**2 wrt v?\nAnswer: -1601640*v**3 - 55380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.1 and 34.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26613 = -n + 3*r, -79819 = -3*n - 79*r + 84*r. Calculate the greatest common factor of 99 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -609, -1218, -1827?\n\"Answer: -609*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**4\/24 - 12*o**2 - 310*o. Let r(d) = -574*d**2. Calculate r(u(h)).\nAnswer: -574*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1968, -4, 3137 in ascending order.\nAnswer: -4, 1968, 3137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2928\/19 - -154. Let p = 0.04141 - -9.95859. Which is the closest to p?  (a) 4  (b) 5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)\/(sqrt(5)*-1) - sqrt(26)\/sqrt(2)*-4) + -4)**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185584666 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 66b67 + 172?\nAnswer: 67009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27.1 - 25. Let w = -1.9 - s. What is the second smallest value in -3, -1, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 8:11 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88 + -93. Which is the nearest to -0.2?  (a) y  (b) 1\/9  (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38564 times -0.061\nAnswer: 2352.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4343124135.\nAnswer: 3, 5, 7, 479, 86353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 10:25 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 + -0.3. Let b = -0.224 + 0.024. Let n = b - m. Sort n, -5, -4 in increasing order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -1\/3, 1\/189, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(1215))\/(sqrt(24)\/sqrt(72)).\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*k - 27 - 103 = 0, -5*x - 2*k + 20 + 30 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 3*v - 378 = -381, 0 = -m + 2*v + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqdqqqd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15105 - -31?\nAnswer: -15044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(4\/15))\/(g**(-2\/5)*g))\/((g\/(g\/g**(7\/3)))\/(g**(-4)\/g)))**9 assuming g is positive.\nAnswer: g**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by -88?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 3\/4, -277, 5\/96?\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(39)\/sqrt(3))**2*6 + 4*sqrt(26)\/sqrt(2)).\nAnswer: 12*sqrt(13) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 76 = -4*h. Let a be -2 + 68 + (-7 - (3 + -8)). Let k = a + -42. Calculate the smallest common multiple of h and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15973530147 + -0.48917.\nAnswer: -15973530147.48917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -3*(3\/(-9) + 316\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/24)\/1*(-3)\/8. What is the third smallest value in 3, g, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 20*g**2 + 3*g + 22. Is 12 a factor of s(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 255.1*12.1\nAnswer: 3086.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 636*y**2 + 496*y**2 - 1 + 1 + 3*y - 55*y**2 to the form b*y**2 + s + k*y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {m: 1, q: 4, c: 12, e: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000584806 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 6*z**2 - 8. Let w(t) = t**2 + t - 1. Let n(u) = -k(u) + 4*w(u). Let x be n(5). Find the common denominator of (x\/4)\/(-7 + -3) and -63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 18*c**2 - 45*c - 50. What is the tens digit of g(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11\/6 in -1\/38, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 174 = 4*i - 643, -3*n = 4*i - 777. Let m = i - 89. What is m rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 + 28 - (38 + -93 - (1 - -2))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 3*d**2 + 3*d - 6. Suppose -11*a = -12*a. Suppose 0 = -4*t - 3*c + 45, -2*c = 3*t - a*t - 33. Let n = t + -5. Calculate m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 16*a**2 - 2865*a + 2. Calculate h(179).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkiikkikkkikkkikkkk. Give prob of sequence ki.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 944152536773 - 460085531169316863\/487300. Let r = -2\/11075 - d. Calculate the common denominator of 2 - 6\/4*-29 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f - 7*f - 2*f + 2*f. Let n be h(-1). Suppose -2*v = -9 - 5. Which is greater: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2297582 divided by -2297582?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -368639803668280 + -0.1.\nAnswer: -368639803668280.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(48)\/(1*sqrt(6)) + sqrt(8)))\/(sqrt(4) - 6*-2*sqrt(4) - (1*sqrt(324) + sqrt(324))) + -3 + -5)**2.\nAnswer: 128*sqrt(2)\/5 + 1728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgqqwwiqq. Give prob of picking 1 w and 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 4*b**2 - b + 1. Let v be u(4). Suppose 0 = 24*o - 23*o - 8. Suppose o*f = 61 - 29. Put f, 2, v in descending order.\nAnswer: f, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/8)\/((-630)\/((-840)\/40))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105432 and 920?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, h: 10}. Give prob of sequence khhh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.375 - 147.383. Let x = 146 + h. Is 0 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73558.\nAnswer: 2, 36779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -94 + 91. What is the nearest to p in -1\/7, 2\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2216 + 2213.08. What is l rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 8*y - 19. What is c(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2518320*i**3 - 5226177.\nAnswer: -7554960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of 0*f**3 + 50*f - 49\/60*f**5 + 0*f**4 - 2*f**2 + 0. Let w(a) = -2*a. Determine k(w(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 5*f = -0*y + 3, -4*y + 4*f = -12. Let v be ((-2)\/(-15))\/((-2)\/6). Which is the biggest value?  (a) -6  (b) y  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -946006 and -221248.7.\nAnswer: -1167254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*j + 125 - 44 = 0. Find the first derivative of 3*m**2 - 2*m**2 + 42 - 8*m**3 + 26 - 10*m**j + m**3 wrt m.\nAnswer: -51*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 8:39 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 7. Let w be s(5). Suppose 293 = -4*x + 6*x + 5*n, 0 = -w*n + 10. List the prime factors of x.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.056 - -38.556. Let n = p + -38. Which is the closest to n?  (a) -1  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.07 - 0.07. Let n = x - 1.5. Let z(s) = 5*s**3 + s**2 + s + 1. Let t be z(-1). Which is the second biggest value?  (a) -2  (b) t  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 209 or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 12 = -2*s - 3, 2*w = 3*s - 4. Suppose 0 = -4*a + a + s*n + 26477, -8821 = -a - 4*n. Suppose a = 4*q + q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 319004, 635692, 952366, 1269020, 1585648, 1902244, 2218802, 2535316?\nAnswer: 2851780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -142*l + 150*l - q - 27, -3*l + q = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -58*f + 47. Determine y(5).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/1750606 and -111\/269324.\nAnswer: 3501212","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - -2 - (10 - 10). Let h be 69 + g + (0 - (1 - -1)). Suppose -2*v + 190 = -5*k, -v + h = -5*k - 32. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/18 and -73\/940.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132950 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 7.31.\nAnswer: -7.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4821, -1, 2, 0, -4, -2, -3 in decreasing order.\nAnswer: 2, 0, -1, -2, -3, -4, -4821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**2 + 11*k - 14. Calculate j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -797, -1689, -2577, -3461, -4341, -5217?\nAnswer: -6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*z + 5*r, -3*z + r + 13 = -8*z. Put 8, -1, z in decreasing order.\nAnswer: 8, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*w**2 + 2 - 20*w**2 + 33*w**2 - 2*w as t*w + p + n*w**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2209*m**3 - m**2. Does 12 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17355 and 297705?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 6 - (3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -154417a7?\nAnswer: -154417a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 3*v - 12 - 38 = 0, -50 = -2*c - v. Suppose -2 - 11 = g. Let x = c + g. Calculate the least common multiple of x and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-6)\/9 + 64\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 16370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -11\/1263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -241*r + 149*r + 82*r**2 + 32*r**2 - 193*r - 48*r**2 wrt r?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(3)*-3 + -2) - (sqrt(3) + 4*sqrt(6)\/sqrt(2) - -5*sqrt(75)).\nAnswer: -21*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 1271*r**2 - 5100*r + 6. Give p(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-214)\/(-12) + (-2051)\/(-1758) - 8 - 61\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*l = -283. Suppose -l = -2*p + 13. Calculate the common denominator of 41\/6 and 1*-1 - p\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69568821 to the power of 1\/2, to the nearest integer?\nAnswer: 8341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.54131 - -0.1.\nAnswer: -5.44131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q - 62 = k - 31 + 39, 0*k = 26*k for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {u: 1, c: 3, b: 5, g: 11}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**4\/12 + 5*d**3\/6 + 1412*d**2. Let j(p) be the third derivative of -5*p**4\/24 - 11*p**3\/6 + p**2. What is 4*j(z) + 9*q(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.38, 933, -0.2, 3 in decreasing order.\nAnswer: 933, 3, 0.38, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 128 + (-41 - -24 - -18) + -17 + 20?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**3 - 38*h - 10*h - 2 - 313*h**4 - 2*h + 49*h - 2*h**3 as r*h + j*h**4 + d + q*h**2 + u*h**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.12, 1, -2, -37, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 10*m + 2. Let p be n(10). Which is the second smallest value?  (a) 4  (b) -2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**5 - 40*y**4 + 32*y**3 + 40*y**2 - 36*y.\nAnswer: 4*y*(y - 9)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/32*(-24)\/21. Which is the third smallest value?  (a) 0.4  (b) 2\/3  (c) w  (d) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -10*t**3 + 182*t**2 - 1942*t + 60. Let y(w) = -9*w**3 + 181*w**2 - 1941*w + 50. Let v(n) = 5*l(n) - 6*y(n). Let v(x) = 0. Calculate x.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 11*z**2 - 3*z - 9. Let j be c(11). Let k = 88 + j. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 40 = 68. Let r = -6 - g. Let p = -659 - -669. Calculate the greatest common divisor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of i**3\/6 - i. Let p(q) = 404 + 9*q - 203 - 203. What is p(c) - 6*t(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7288?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 1 + 1. Suppose w = -5*f + 3*f + 15430. Suppose -11*g + 6*g + f = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-2 + 0)) + 93699 + -93585.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*u**2 - 3)*(-4*u**2 - 2*u**2 + u**2) + 2*u**3 - u**4 - 2*u**3 + (4*u**2 - 4*u**2 + u**2)*(u**2 - 5*u**2 + 3*u**2) - 4*u**3 - 2*u**4 + 4*u**3.\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -608 = -10*k - 2108. Let v be (0 - -1) + 165\/k. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 203021022?\nAnswer: 203021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 9 = -9. Let c be 9\/(k\/20 - (-30)\/40). Calculate the highest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:10 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 29 = -39*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**3\/3 + 7*k**2\/2 + 6*k + 50. Suppose 2*m + 8 + 6 = 0. Let f = m - -3. Give h(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5, 1, -3?\n\"Answer: -4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 65492419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 496, 986, 1474, 1960, 2444, 2926?\nAnswer: 3406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15453 and 179469.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/14186132 and 41\/1041184.\nAnswer: 113489056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -40*v**4 + 2*v**3 + 4*v**2 - 2*v. Let k(m) = 40*m**4 - 4*m**3 - 5*m**2 + 3*m. Let s(b) = -4*g(b) - 3*k(b). Find the third derivative of s(x) wrt x.\nAnswer: 960*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -4, -1, 28 in increasing order.\nAnswer: -5, -4, -1, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3c7b2a (base 13) in base 8?\nAnswer: 5476535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**3 + 4*k**2 + 4. Let u be z(3). What are the prime factors of u\/(-4) - 20\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(12)\/sqrt(4)*-4)**2 + sqrt(3)) + -2.\nAnswer: -98 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 44287 + 13*q - 44133 - 6*q. Give x(-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*l - 140 = 0, 0 = -15*s + 8*s - 2*l + 980. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**5 + 0*h**5 + h**5)*(0 + 2 + 1).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23 by 16308.\nAnswer: -23\/16308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 157429006 rounded to the nearest 10000?\nAnswer: 157430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 907014.1kg?\nAnswer: 907014100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 20*m**2 - 14*m**2 - 5*m**2 + 12 + 11*m. Let s be f(-10). Suppose -5 - 5 = -s*j. Solve t - 2*t = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7093 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g**3 - 6*g**2 - 26*g + 14*g**3 + 5*g**2 + g**2.\nAnswer: 4*g**3 - 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-64)\/24*1*((-12612)\/1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9466*c + 4741*c + 4746*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29355.\nAnswer: 3, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/9*1226\/8. Let r = w + 206. Factor 0 + r*h**2 - 2\/3*h.\nAnswer: h*(5*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + 6. Calculate the remainder when 54 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-36 + -12 + 29).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -659925592773.\nAnswer: -659925592775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 f, 1 q, and 1 u when four letters picked without replacement from bbblbfqqbuqk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 - 79. Let u = 59 + q. Let f = 13 - u. Put -3, -2, f in increasing order.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 567*g**3 + 2*g - 21*g**2 + 1082*g**3 - 3*g**2 + 24*g**2 as r*g**2 + b*g + s*g**3 + a and give s.\nAnswer: 1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -234402553*n**3 - 2*n**2 - 412406962*n wrt n.\nAnswer: -1406415318*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -2)*1\/11. Let y = 498 + -498.5. Which is the closest to -1?  (a) y  (b) 1\/4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18.928?  (a) -39  (b) 0  (c) -1  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3224 by -806.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 12:01 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6543854?\nAnswer: 2, 3271927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**2\/a)**(-38)\/(a**(-8)\/a**(-1\/6))*(a**0\/a)\/(a\/(a**(-3\/2)*a)*a)*(a*a**(-1))**(-1\/19) assuming a is positive.\nAnswer: a**(-101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 43 = -5*p, 0 = 5*y + 3*p + 16 - 61. Let h = 130 - 84. What is the remainder when h is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 + 218*v - 185*v - 3*v**2 - 33*v - 1140*v**3.\nAnswer: -1140*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 9 - 1. Suppose 49 - 221 = -r*t. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0434367 * 2.\nAnswer: -0.0868734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 51*t - 72*t + 2466 = -1314 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.9 + -7.2. Let u be ((-165)\/(-27) - 6) + 2\/(-6). Sort 0.1, b, u in ascending order.\nAnswer: b, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2112191.255 to the nearest 1000.\nAnswer: 2112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 2*p + 24. Suppose 0 = -f - f + p. Suppose -201 - 39 = -f*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 608 minutes before 8:11 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -4*b**2 + 0 - 2\/5*b**3 - b + 1\/10*b**4 - 1\/100*b**5. Let w(x) be the first derivative of y(x). Solve w(r) = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9645468?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 2\/3, 23\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*o = 361 + 104 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 + 90. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 730871, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -137.8 - -124. Let t = 14 + a. What is the nearest to 2 in t, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c - -564c?\nAnswer: 5640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 134146180.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9331*v + 77*v**5 - 9331*v - v**5 - v**2 + v**2 + (0*v**5 + v**5 + 0*v**5)*(8 - 1 + 2).\nAnswer: 85*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 672 (base 11) to base 5.\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082683?\nAnswer: 7, 154669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -10 - 2) + -1 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 2*b**2 + b + 2. Let d(k) = 178*k**3 - 4*k**2 + 4*k + 1. Let l be d(1). Let y = l + -181. Calculate f(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -104 + 78. Let t = 40 + f. Let i be (t\/5)\/(26\/65). Solve -3*d = 5 + i, 2*c = -5*d - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 3. Suppose 21 = x + h + w, 28 = 4*x - h. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 590 = -y. Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -2\/11  (b) 3.11  (c) -2\/7  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (-33 - -38 - (8 - 3)) + 0\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6*((-6)\/21)\/((-60)\/35)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 44 + 269 = 0. What are the prime factors of 25 + 9\/(g\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9408 = -7*u + 39130. Suppose -4*k = 4*c - 5416, -180 + u = 3*k + 2*c. What are the prime factors of k?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 1278*r**2 - 745059*r - 8745 = 0.\nAnswer: -5\/426, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 396037.\nAnswer: 23, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8130799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/(6\/(-8)). Let m be (-3)\/r*10\/(-3). Let i = -522 - -526. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4*a - 37 = -3*t, 4*t = -3*a + 29. Let o be -12 + (-10 - 5 - -32). Solve t*g + o = -10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = v + 370, -13*z + v = -8*z - 1842. What is the greatest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6030 - 5659. Solve -o*h + 361*h + 40 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + d - 6359995 = 0, 5*s + 2*d = -2*d + 31799980. What is s rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 4 + 8*h - 5 - 6*h + 5*h**2. Let a(z) = -4*z - 26. Let v be a(5). Let q = 51 + v. Determine c(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.026 + 0.264. Let u = d - -2.51. Let h = u + -2.7999948. What is h rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5749950982 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -6\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.2326 and -5?\nAnswer: -11.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 461 - 281. Let o = f + -156. What is the smallest common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmemeyjk. What is prob of picking 1 j, 1 y, and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -12*a**2 + 66*a + 12. Let b(q) = -10*q - 1. Let l(w) = 6*b(w) + u(w). Determine l(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -6*v**2 - 3*v + 3. Let s be m(1). Let o be 196\/6 - s\/(-9). Suppose 5*b - o = 128. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2 - 51. Let g(n) = -26918*n. Calculate g(m(r)).\nAnswer: 53836*r**2 + 1372818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 97*p + 0 + 56*p - 108*p - 3*p**2 + 78 + 6*p**2. Give t(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z. Let u be 0 - -4*3\/6. Let d(k) = -3*k + k - k + u*k. What is d(r(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18207 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4  (b) 1\/6509  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 14.58, 0, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3497 + 6019. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:24 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 13 = -4*g + g, 0 = -2*g + 2*s + 10. Calculate the remainder when g\/(1\/(7 - -2)) is divided by (-54)\/(-4) + (-1)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -17. Let j = l + 2. Let c(h) be the first derivative of h**3\/3 + 3*h**2\/2 - 2*h - 2. What is c(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -4*d + 18 + 8, 5*d = 3*o + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**3 + 48*x**2 - 115*x - 352. What is h(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-243845)\/(-40) + (-845)\/104 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1049041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 5709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -65*f**4 + 533 + 218*f**4 - 532 + (-2*f**3 + 4*f**3 + 0*f**3)*(1 - 1 + 4*f) in the form k*f + q + s*f**3 + z*f**2 + v*f**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 9, g: 10}. Give prob of picking 4 g.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(-1\/22)*k**(-10\/7)*(k**(-3))**(-10) assuming k is positive.\nAnswer: k**(4547\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(66)*-1)\/sqrt(11) + sqrt(6) - sqrt(6))\/(sqrt(32)\/sqrt(4) + sqrt(2)) + 1)**2 + -5.\nAnswer: -11\/3 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6446 + -5?\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 41*n - 8*n)*(-2 - 2 + 2)*(-2*n + 0 + 0).\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 5*l - 20, 5*p = l + 31 - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 9:52 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-240)\/70)\/(((-24)\/98)\/6). Solve h = 6*r + 102 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1765 divide 1047813430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x**2 + 0*x**2 - 119*x + 36*x + 42.\nAnswer: 5*x**2 - 83*x + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -15*q + 16*q + 7 + 10. Let i be p(-15). Suppose -9 = 3*y + 5*t, -2*y + 0 - i = 2*t. Solve y*l - 3 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -1\/7, 2\/5, -0.3, -1\/4 in ascending order.\nAnswer: -14, -0.3, -1\/4, -1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-6*(sqrt(171) + sqrt(171)*3 + sqrt(171) + sqrt(171)))\/sqrt(9))**2.\nAnswer: 72*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y. Let j(f) = -2*f + 2*f - 3*f + 0*f. What is t(j(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 1. Let p(x) = -x - 9. Let w(d) = -d - 4. Let h(v) = -3*p(v) + 5*w(v). Calculate h(k) + 4*r(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.841 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -857.4014852 - -857.4. Round y to five decimal places.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 3:49 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20584 - 10376. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgllh. Give prob of picking 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -24487004*t + 101771522 wrt t.\nAnswer: -24487004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -70*s + 43. What is the hundreds digit of d(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqyyqqqqqyqqq. What is prob of picking 2 q?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1472281067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l + 2*l + 0*l - l + 0*l + 3*l + (1 + 0 - 3)*(-2*l + 3*l - 3*l) - 2 + 2 + l + 0 + 0 + l + 2*l + 0 + 0)*(3 + 25 - 1).\nAnswer: 216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-55)\/11 - (-8 + -2). Suppose -4*w + 2*t - 110 = -7*w, -150 = -4*w - t. What is the third derivative of -w*b**5 - 7*b**2 - 2*b + 2*b + 30*b**o wrt b?\nAnswer: -480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-6)*l**(-1\/2)*(l**0)**9)**(7\/3) assuming l is positive.\nAnswer: l**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 567377992, 567377983, 567377972, 567377959?\n\"Answer: -b**2 - 6*b + 567377999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 10*x**2 - 2*x - 12. Let k be 6\/(-9) - (-105)\/9. What is the tens digit of l(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129 divided by -3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express k**4 + 3*k - 5*k**3 + 7*k - 8*k as t*k**4 + q*k + c*k**3 + r*k**2 + s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20.137 - -20.077. Which is the nearest to v?  (a) 0.1  (b) 70  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1149 + 429*g + 81*g + 784*g - 144*g - g**2.\nAnswer: -(g - 1149)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 32 = l - 5, 4*j - 47 = -3*l. Suppose j + 0 = 2*x. Suppose -3*a - u = -x*u - 330, -5*a = -2*u - 565. What are the prime factors of a?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24427.79754 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*a - 2*a. Suppose 4*b + 17 = -5*y, 4*y + b = -0*b - 7. Let g = a - y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 5*p = -5, -2 = 8*n - 3*n - 2*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 7*v**2 - 121*v - 1474. What are the prime factors of d(-72)?\nAnswer: 2, 7, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1273 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65598 + 65605. Let m(l) be the second derivative of 0 - 2*l - 5\/12*l**4 + 1\/2*l**2 - 1\/6*l**3. Let x(s) = -4*s**2 - s + 1. Determine o*x(g) - 6*m(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*t**2 - t - 14*t**2 + 2*t**2.\nAnswer: 7*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 15 = -0. Solve 0 = j*c - i + 3, -4*i = -2*c - 9*i + 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6442114 years in decades?\nAnswer: 0.06442114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l = 21*l + 8. Let r = 147\/2 - 853\/12. Calculate the common denominator of r and 6\/l - (-273)\/65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.6 - 6. Let s = -90 + 84.9. Let q = s + 5. Which is the second biggest value?  (a) 2  (b) q  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, j: 2, b: 2}. What is prob of picking 2 b and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*g**2 - 25*g**2 + 5*g - g**3 as s*g + w*g**3 + o + i*g**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - v + 5, 0*s + 8 = s + 4*v. Suppose -k + 3*w = 5, -2*k = -0*k - 4*w + s. Suppose 0 = -4*d + 18 + 2. Sort d, k, 1.\nAnswer: 1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -464918394 by -3.\nAnswer: 154972798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(204) + (-1*sqrt(204) + sqrt(204) - sqrt(204))*-4)\/(6*4*sqrt(12))*-2)**2.\nAnswer: 425\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 10:05 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15513, 30881, 45933, 60495, 74393, 87453, 99501, 110363?\nAnswer: 119865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.695 - 0.005. Put 0.5, -3, j in ascending order.\nAnswer: -3, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2a7 (base 16) to base 6\nAnswer: -3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32*p**3*z**3 - 1360*p**3 - 9*p**2 + 267995*p*z**4 - 21*p + 2 wrt z.\nAnswer: -96*p**3*z**2 + 1071980*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (66\/55)\/((-1)\/90). What are the prime factors of ((-20)\/8)\/(3\/h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 2 + -6*(-2 + sqrt(19)))**2 + -5 - (2 + sqrt(1216) + (sqrt(1216) + -1 - sqrt(1216))**2 - (2 + sqrt(1216))*-4).\nAnswer: -180*sqrt(19) + 655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.02 - -3.28. Let o = -3 + b. Let p = -1.6 + 1.2. What is the second smallest value in o, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5 = 133. Let c = k + -46. Which is bigger: c or 2\/79?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*u + 72*u + 396 = -64*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - -5)*8\/6. Let k be -6 + 132\/8 + (-3)\/(-2). Solve -4*p + c - k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/6 + 1\/(-3). Suppose -3*c = -7 + m. Suppose 0 = -c*s - 3*s + 10. Solve -3*o - 4 = s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5083 = -512*o + 121*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32.73 - -29.9. Let r = m + 0.95. Round r to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7669671 is divided by 206?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5131355 + 3?\nAnswer: -5131352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4398, 8791, 13184?\n\"Answer: 4393*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 15. Suppose -x + w*x = 4*k + 2, 3*k = 0. Solve -x*y = -3*y - 4*a - 7, -a = 5*y + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2689.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -62*-19.9361\nAnswer: 1236.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = t + 17, j + 4*t = 5*t - 11. Let w = j - -10. Suppose -8*n - 15 = -w*n. Is n less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 30 + 6. Let f = c - -6. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002023 to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 55*b - 13. Let o be q(1). Suppose 2*g = -5*z + 348, -41*g = -o*g + 3*z + 196. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 1, v: 1, i: 2, z: 1, y: 1, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 - 8116*s - 16467364.\nAnswer: -(s + 4058)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {j: 2, z: 2, l: 3, m: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*s - 13*s + 689*s = 2768 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -154\/85 or -3?\nAnswer: -154\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o**5 - 134*o**4 - 1272*o**3 - 2138*o**2 - 1001*o = 0. What is o?\nAnswer: -7, -1, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4523295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -94*l**2 + 1289218*l + 56 + 26*l**2 + l**3 - 1289216*l as k*l + d + w*l**3 + b*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/12*176\/(-440)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 144423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2982.08 - 2982. What is the second biggest value in 2\/9, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(6655)*5)\/(sqrt(720) - (sqrt(720) + 1*sqrt(720)) - (-1*sqrt(45))\/sqrt(9))*-5.\nAnswer: -100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 9*o - 5797. Let b(l) = -13*l + 8695. Determine 7*b(f) + 10*h(f).\nAnswer: -f + 2895","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 682 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 95*c. Let n(s) = -s. Let r(u) = -76*n(u) - y(u). Let p(g) = -2*g**2. Give r(p(a)).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o. Let u be (6\/9)\/(4\/(-18)). Let i = 9 + u. Let m(y) = -4*y + 2*y + i*y. Determine m(z(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 174\/63 + -2 + (-192)\/144?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - 3*m + 3. Suppose -6 = 4*q - w, -w - 14 + 4 = 4*q. Let o be (-48)\/q*6\/(-8). Let d be o\/4*(-8)\/12. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 26298283 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-75)\/25 + 42\/16. What is the nearest to 0.8 in -4, -0.2, a, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*g + 4180 - 3946 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*p + 14*p**3 + 0*p - 7*p**2 + 30*p - 15*p**3 to the form f*p**2 + c*p**3 + o + b*p and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124739 is divided by 73.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**3 + 17*o**2 + 760*o + 5518. Determine q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 4. Suppose 5*u - 6 - b = o, 4*u + 12 = 4*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.87017 rounded to 2 dps?\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/(m\/(m\/m**(-1\/4)))*m**(3\/14))\/(m**0)**(3\/7))**(-1\/9))**(-9) assuming m is positive.\nAnswer: m**(69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 613, 384, 249, 256, 453, 888, 1609, 2664?\nAnswer: 4101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*n + 124 - 166 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, e: 6, h: 2, s: 4}. What is prob of sequence ssks?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 8*w. Let r be j(-13). What are the prime factors of r*(-3 - -1 - (-1340)\/100)?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l + 3. Let i be g(6). Suppose -2*y = -0*y - 6. Suppose 0 = -3*d - 3, -7 = -15*t + 18*t - 5*d. Sort 0, t, i, y.\nAnswer: t, 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 2*d + 5. Let b be t(4). Let g be ((-10)\/3 - (0 + -4))\/((-14)\/189). Let j be ((b - -2)*1)\/(3\/g). Solve -j*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 5)*(-1 + 0 - 1) - 1 + 2 - 2)*(3 - 3 + 2*r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 4. Suppose -g - 3*g = 4*z - 4, 2*g - 3*z = 2. Let q = g - -2. Suppose -5*c - 10 + 34 = 4*x, -3 = -q*x. What is h(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -2)\/(1 - (-206)\/(-210)). Let d = 207 - v. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 2 - 3)*(2*o - 2*o**3 - 2*o) - 4*o**3 - 2*o**3 + 4*o**3 - 3314*o**3 + 899*o**3 - 795*o**3 as y*o**2 + m + i*o**3 + t*o and give i.\nAnswer: -3216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -956 - -956.1322. What is n rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/23)*d\/d**0)\/((d\/d**(-7))\/d*d\/(d\/((d\/d**(-9))\/d))) assuming d is positive.\nAnswer: d**(-343\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15 and 61900.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/614448 - 1179109\/30591522576. Is 0 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2191 and 58646?\nAnswer: 128493386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*1)\/sqrt(6).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6339860859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 766 is divided by 364.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 3. Suppose -3*a - v = 5*k, -k - 8 - 10 = 5*a. Let d be (-2)\/(-5) + 2\/(-5). Solve 4*f - 4*p + d*p = -4, 0 = k*f - 3*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37825 = -198*y + 336*y + 287*y for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 1:44 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1811 + -1202. Let n = -148 + m. List the prime factors of n.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-75)\/10)\/(-3))\/(3\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57.6 - -57.5431. Round m to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i + 1 - 1 + (-i + 0*i + 4*i)*(-2 - 3 + 3) + 2*i + 0 + 0 - 15*i - 28*i + 59 - 57.\nAnswer: -44*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56345 is divided by 136.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 29536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*b + 3*b**3 - 3 - 3*b - b**3 + 2*b**4 to g*b**3 + i*b**2 + s*b + t + u*b**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192055120.\nAnswer: 2, 5, 17, 283, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**5 + 17*t**4 - t**3 - 8*t**2. Let u(q) = -4*q**4 + 2*q**2. Let i(c) = 9*u(c) + 2*x(c). Factor i(k).\nAnswer: 2*k**2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 730062 is divided by 1452?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*w - 52*w + 5421 = -12*w. Calculate the greatest common factor of 832 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -517, -531, -555, -595, -657, -747, -871?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58\/7*l**3 + 34*l**2 + 24\/7 + 256\/7*l = 0. Calculate l.\nAnswer: -2, -3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 302202 (base 4) to base 6.\nAnswer: 22550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -572788489*r**3\/5 - 183864865639*r**2\/5 + 15364981*r - 1605.\nAnswer: -(r + 321)*(23933*r - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/9978 and -85\/4001178?\nAnswer: 4001178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 57029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19182063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422531 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udmdddddddqd. What is prob of picking 1 u and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 482 - 19*x**2 + 555*x**3 - 550*x**3 + 19*x**2 wrt x?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*m - 2 + 18*m + 2 + 3 as s*m + a and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - t + 12. Suppose q + 3*i = 9, -5*i + 3 + t = -4*q. Solve q = -5*j - 0 - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 - 31*f + 186. Let o be w(-36). Let x(u) = 4*u**2 - 18*u - 32. Let b be x(o). Solve -2*j + 9 + b = 5*p, 0 = 4*j - p + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 127*1.8571.\nAnswer: 235.8517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4804289 less than -83995.15?\nAnswer: -4888284.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t - t + 0*t + (-4*t - 3*t + 4*t)*(-1 + 2 + 1) - 3*t - t + t + 4 + 2*t - 4 to c*t + l and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 317*b + v + 2119 - 533, 10*b - 9*b - 5*v = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/4)\/(4\/24). Suppose 4*q - x*q - 3 = 0. Solve -4*m - 4*r - 28 = 0, r + q*r + 24 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j - 2*j + 2*j + (-6944 - 624 - 1466)*(-5*j + 2*j + 4*j).\nAnswer: -9032*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of x**5\/160 - x**4\/96 - 5*x**3\/48 - 3*x**2\/16 - 22*x + 1. Factor b(v).\nAnswer: (v - 3)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 41 in -2\/3, 8\/3, 0, 2?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -65 - -1341. Suppose -n - 2*n = -v - s, 0 = -4*n - 4*v + 1680. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + 0 + -2 + 30. Suppose -4*s - j + i - 7 = 0, 19 = s - 3*j. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3669 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -25. Put v, -14\/9, -2\/5 in ascending order.\nAnswer: v, -14\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8 = 0, 3*s - 1 + 5 = b. Suppose -b*z - 50361628 = -6361628. Round z to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 257 + -233. Suppose 5*d + 0*s = -2*s - 55, -3*d - 3*s = o. Let j(f) = -f - 7. Calculate j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3518109, 3518161, 3518213?\nAnswer: 3518265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -0.5. Let g = -29 + w. Let d = 13.9 - 14. Which is the nearest to 0?  (a) 2\/39  (b) d  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 8, -2, -3.\nAnswer: -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -10*o**2 + 5*o + 2. Let v(z) = -3*z**2. Let f(d) = -3*v(d) + w(d). Let a(y) = 3*y + 1. Suppose 3*g + 5 - 14 = 0. Give g*f(r) - 5*a(r).\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79070295.\nAnswer: 3, 5, 37, 142469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -18, -4, 4 in increasing order.\nAnswer: -18, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1257*j**2*v*w**3 + j**2*v*w**2 + 2*j**2*w**2 + 53*j**2 + 62*j*w**3 - 19*w**2 + 2 wrt w.\nAnswer: -7542*j**2*v + 372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)*j)**(-1\/37)\/(j**(-4)\/(j\/(j\/(j*(j*j\/j**(2\/7)*j)\/j)))) assuming j is positive.\nAnswer: j**(8646\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -43, 35, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/14)\/a**6)\/((a\/(a*a**(-9)*a))\/a*a*a\/a**(-2\/7)) assuming a is positive.\nAnswer: a**(-213\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61953 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -153*j**6\/10 - 625*j**4\/12 + 34*j. Find the third derivative of o(d) wrt d.\nAnswer: -11016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = s + 3*s. Suppose -i = -s*i. Suppose i = -4*y - 5*c + 11, y - 4*c + 5*c - 3 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of u**4\/24 - u**3\/3 - u**2\/2 + 2. Let z(g) be the second derivative of l(g). Let h be z(4). Solve h*o = 6 - 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -86, -120, -154, -188, -222?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*a**2 + 12*a - 12143 wrt a.\nAnswer: 48*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + 7\/((-14)\/6). What is the common denominator of 37\/4 and ((-2)\/v)\/(680\/1479)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {r: 10, g: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 10:12 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*l**2 + l**2 + l**2 - 15*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18487461\/440 + -42017. Find the common denominator of i and 42\/605.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3952 is divided by 61.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from {j: 11, f: 9}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (16\/3)\/((-19)\/(-285)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 9*j**2 - 45*j - 403. Let u be g(-9). Solve 0 = -4*s - 5*c + 18 - 3, -3*s + u*c = -17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in seventy-one quarters of a millisecond?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -122087, -244277, -366483, -488705?\n\"Answer: -8*u**2 - 122166*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*p - p. Let m be (4\/10)\/((-3)\/(-30)). Suppose 3*r = -2*k + m*k + 40, 4*k + p = -r. Calculate the highest common factor of r and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + 3 - -8) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 1:40 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 222401536 divided by -1216?\nAnswer: -182896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 + l**4 + 2*l**3 + (-2*l + l - l)*(-2*l**3 - 7*l**3 + 4*l**3) + l**4 + l**3 - l**3.\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 310 and 18?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + 4*u + 2. Let f be c(4). Factor -g - 2 - g**2 - g**3 + f*g + 3.\nAnswer: -(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132633506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.08699 - 4.08699. What is the closest to -0.1 in 3, -68, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 20. Let d be (1 + (-39)\/(-6))*(-2)\/(-3). Suppose -d*c - 245 = -i*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 + 8*y**2 + 122*y - 814. Calculate j(12).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 21076.46 weeks?\nAnswer: 3540845.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, -2\/11, 3\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/9*(-6)\/4. Let l = -18 - -10. Let n = -5 - l. What is the closest to 0 in n, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*n - 358 = -658 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -6*r - 2. Let f be c(-1). Suppose 0 = -f*m + 3*m. Does 1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*h**2*j**3 - 9*h**2*j - 2*h**2 + 27*h*j**3 - 9*h*j**2 - 3*j**3 wrt h?\nAnswer: -70*j**3 - 18*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, s: 1, i: 4, o: 10}. Give prob of picking 1 s, 1 o, and 1 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*k + 1 = -2*f, -4*f + 37 = -5*k. Let o(c) = -6*c. Let n be o(-1). Solve 4*q + f*z = -z + 20, n = q + 2*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*i + 96 = 0. Let u(l) = 18*l - 4. Let g be u(2). Calculate the highest common divisor of i and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 3*i**2 + i - 3. Let l be c(-13). Let m = l - -3126. Is 1\/4 + m\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*g - g + g)*(3 - 5 + 1) + g - 4*g + 2*g + 2*g + 3 - 3 - g + 4*g - 2*g)*(-3*g - 2*g - g + (5 + 2 - 5)*(g - 4*g + 2*g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*y = 60*y - 440 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of r**4\/12 + 3*r**3\/2 + 19*r**2\/2 + 3*r. Let v be u(-6). Let h = -5 - -9. Put h, -4, v in descending order.\nAnswer: h, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of -7*d**4\/12 + 3*d**2 - 7*d - 5. Let r(v) be the first derivative of g(v). Let w(u) = u**2 - 1. Give r(k) + 6*w(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -17*x + 113. Let m be v(7). Sort -2, -1, m in descending order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -80 - -78. Let m be (-32)\/10 - 9\/(-45). Let o(r) = -r**3 + 16*r**2 - 30*r + 35. Let q be o(14). Which is the closest to -0.1?  (a) q  (b) m  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/6)\/b)**45\/(b**(-33)\/b**(-10)) assuming b is positive.\nAnswer: b**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 82845578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225747547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 33912900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**3\/6 + o**2\/2 - 9*o - 9. Let c(u) = -9*u - 7. What is 3*c(n) + 21*r(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2301\/(-5))\/(129\/(-2795)). Calculate the highest common divisor of g and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82837070.9 rounded to the nearest one thousand?\nAnswer: 82837000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 6*w. Suppose 4*c + w*c = 5*m - 6, 0 = -2*m + 3*c + 1. Suppose -4*n + 20 = 0, 3*t + m*t - 5*n = -15. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1039535858*p**2 + 864139590?\nAnswer: 2079071716*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 10*m - 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131376 is divided by 168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -m**2*z**2 + 2642311*m**2 + m + 9315605*z**2 - 23 wrt z.\nAnswer: -2*m**2*z + 18631210*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 12*y**2 - y - 4. What are the prime factors of u(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4120 and 42375848.\nAnswer: 211879240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 divided by 58027?\nAnswer: 402\/58027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/9))**(-1\/30)*(t**(1\/4))**35)\/((t**1)**(30\/7))**(-2\/7) assuming t is positive.\nAnswer: t**(263729\/26460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 4*x - 4 = 0, -2*a + a - 5*x = 1. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2. Let n(x) = -4*x**2 + 4*x. Let r(h) = n(h) + 3*w(h). Let v be 119\/21 + (28\/21)\/(-2). What is r(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -v + 2*u - 12, -2*v = 4*u - 2. Put -5, v, -8, -4 in descending order.\nAnswer: v, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22 - 20.245. Let b = p - 1.8. Let d = b - -0.005. Round d to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t. Let w(m) = 95*m**2 + 11640*m - 2. Determine l(w(j)).\nAnswer: 95*j**2 + 11640*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0792 - 0.0208. Which is greater: -792 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 56\/18340029 and -11\/16818.\nAnswer: 36680058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 1 - 24 = 0. Suppose -f + 5*v - 115 = -0*v, 4*f - v + 460 = 0. Let s be f\/(-20) - 5\/(-20). Solve q = 3*q - 4*m + s, -15 = i*q - 4*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, -4, -3, 34, 1 in descending order.\nAnswer: 34, 1, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -r + 21, b = 31*r - 29*r - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 - 221 = -6*p. Suppose 23*j = p*j - 272. Let v(q) = -q**3 + 5*q**2 + q - 4. Let l be v(3). What is the greatest common factor of l and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -34*z**2 - 5*z. Let f(a) be the third derivative of -1\/12*a**4 + 0*a - 135*a**2 + 0*a**3 + 0. Give f(t(k)).\nAnswer: 68*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2857, 11450, 25773, 45826?\nAnswer: 71609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ayyyaay. What is prob of sequence yy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 84 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4576*u - 8850*u + 6618*u + 49224 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 486*q + 495*q + 251 = 976*q, 163 = 2*r + 5*q for r.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68884.\nAnswer: 2, 17, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, 0, 355.23, -0.08, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1185644071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/192)\/(5\/(-280)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -7*n + 25, -5*i = -21*n + 18*n + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = -16 - 29. Let h be (46\/(-115))\/((-7)\/x). What is the closest to -0.36 in h, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 97*z - 813 + 812 - 299*z. Let n(t) = t. Calculate n(b(q)).\nAnswer: -202*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24611545.\nAnswer: 5, 7, 563, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 89459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1789 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 228 and 608.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20056\/1525 at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 1.0075.\nAnswer: -0.50375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -35*r - 597. Determine x(-16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7038875707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) -2  (b) 4  (c) 1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00102935 rounded to five decimal places?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -7*w**2. Let c(j) = -4*j**3 + 6*j - 10. Let x(h) = h**3 - h - 1. Let g(d) = c(d) + 6*x(d). Let y(z) be the first derivative of g(z). Give y(v(b)).\nAnswer: 294*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/121 and 161\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -30*t. Let i(h) = h**2 - 1144*h - 3. Calculate v(i(a)).\nAnswer: -30*a**2 + 34320*a + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**5\/60 + 7*u**4\/12 - 20*u**3\/3 + u**2 - 390. Calculate g(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.013, 0.3, 4, 2, 0.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**2\/f))\/(f*f*f*((f\/(f*f**1*f))\/f)\/f))\/(f**0\/(f**(-6)*f))*f**(-5)\/f**(-2\/7)*f**(-2\/13)*f*f\/(f*f**(-2))*f assuming f is positive.\nAnswer: f**(-443\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 - 13 + 12*o**2)*(2*o**2 - o + 25*o**2 - 8*o**2) to the form a*o**2 + g*o**3 + h*o**4 + z + d*o and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 5*d - 330 = 2*j, 0 = -d - 5*j + 302. What is the greatest common divisor of 84 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and -210?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.125  (b) 40969\/3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from czllzczczz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 f when four letters picked without replacement from {f: 3, l: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20371\/500 + 1\/125. Let o = 41 - z. Let n = 4.393 + -4.333. Which is the third smallest value?  (a) o  (b) n  (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2579\/5 - -535. Let p = h + -19. Find o, given that 3\/5*o**3 + 1\/5*o**5 + 0*o + p*o**2 + 3\/5*o**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dllmmmmnvddvmddddm. What is prob of picking 2 m?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 11:54 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*5*((sqrt(135)\/sqrt(3) - sqrt(45))\/sqrt(9) + sqrt(5)) - (sqrt(100)*2)\/(sqrt(20)*2))*3)**2 + 0.\nAnswer: 19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -221502*x - 1107493. Calculate w(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o**3 - 2*o**4 + 12*o**3 - 20*o**3 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -k - t + 1, 0 = -k - 4*t + 4. Suppose 717 - 725 = 4*u. Sort u, k, -5.\nAnswer: -5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.4527 + 0.4527. Put 1, -0.5, 5, 2\/15, u in ascending order.\nAnswer: u, -0.5, 2\/15, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of -2 + 0*u + u**2 - 2*u + 0*u. Let q be x(2). Solve 0 = 3*r - 2*k + 1, 0*r + q = -2*r + 2*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y - 3 - 1 + 3. Let j(k) = k**2 + 4*k + 4. Let t(o) = -j(o) - 4*r(o). Let b(n) = 6513 - 6513 - n**2. Determine -2*b(f) + 3*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1055492067 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 170459 - -7?\nAnswer: 170465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pycjd. What is prob of sequence pycd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/17)\/(214\/(451112\/(-372)))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 92*s + 3. Let m be o(4). Let f be (-2)\/11 - m\/77. Let y be (2\/1)\/(232\/(-28) - -8). Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 141.4 - 141. Let y = 1249 + -1247. Which is the biggest value?  (a) -24  (b) w  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -36\/247 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 141896, 141894, 141892, 141890, 141888?\n\"Answer: -2*k + 141898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10010100 (base 3) to base 14\nAnswer: b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10373, 10935, 11497, 12059, 12621, 13183?\nAnswer: 13745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(44)\/(sqrt(11) - sqrt(396)) + sqrt(4))*6 - ((5*(sqrt(192) + -2*sqrt(192)))**2 + -3).\nAnswer: -4797 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 21.09. Suppose 6 = 3*u - 9. Suppose -u = -3*o + 7. Put o, c, -1 in decreasing order.\nAnswer: o, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, q: 1, n: 1, v: 2, u: 1}. What is prob of sequence vvn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}