{"text":"Question: Collect the terms in 13*h + 2*h + h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10)\/20*(-1281 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 0*m + 2*m - 3*m - 16. Let a(h) = -17*h + 106. Let o be a(6). Let k be (4 - o)\/((-6)\/(-13 - -7)). Give g(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5246 = t, a + 0*t = 4*t + 1767. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.4208 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12481908699.712896954 - -30.712896954. Let k = q + 12481909175.0000673. Let w = k - 506. What is w rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of 115*h**3\/6 - 23*h**2 + h - 91. Differentiate n(q) with respect to q.\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2056 + 18566\/9. Let d = p - 64\/9. Which is the nearest to -0.1?  (a) d  (b) 3  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 64, 47, 42, 55, 92, 159?\n\"Answer: v**3 - 24*v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3438 + 98642 = -1856*a for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34\/477 + -8\/53. Is 0 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-28)\/35)\/(4\/(-10)). Let m(j) = 2*j**3 - 3*j**2 - j + 2. Let w be m(d). Solve 0 = -w*q - 2 + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -302.998 + 0.998. What is the fourth biggest value in p, -2, -5, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2081 - 2078. Let m = 2 + -3. What is the third biggest value in m, 4, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(15\/(-8))*65\/(-2). Let d be 13\/(t\/264) + (1 - -2). List the prime factors of (d\/14)\/((-2)\/92).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -11. Let j = 3\/65 + -139\/195. Let c = -5 - -5.5. What is the nearest to j in l, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 (base 13) in base 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/55578 and -119\/12.\nAnswer: 111156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4488 + -7788. What is j rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91021132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 23*o**2 - 44*o - 126. Let b be n(25). Suppose b*w - w - 54694 = 0. Round w to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.3927m to millimeters.\nAnswer: 85392.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**6\/120 + n**5\/20 + n**4\/24 - n**3\/6 - n**2 - 5. Let d(m) be the second derivative of f(m). Give d(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 782 + -554. Suppose -2*x + 118 + c = 0. Suppose 5*i - z - x = 0, 4 - 13 = 3*z. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-444832)\/(-56) - 864\/(-336)?\nAnswer: 2, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 32 + 2957*v**2.\nAnswer: 2957*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/6*18\/(-4). Suppose -2*r + 3*r + 1 = -5*c, -5*r + 105 = s*c. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45*(-2 + 3)*(35 - (-2704)\/(-78))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/1 - (-18 + 8). Solve -x + 2 = q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/(-35))\/(12\/60). Which is smaller: 1\/181 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34339200887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/1608 and 7\/88.\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 163, 165, 167, 169, 171, 173?\n\"Answer: 2*m + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**2 + 8*u + 20. Let t(g) = 2*g + 5. Let b(r) = -c(r) + 4*t(r). Let q(f) = -16*f**2 - 1. Calculate -11*b(p) + 2*q(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070934 is divided by 2910?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1218.8224 + -1218. What is t rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 770*l**2 + 2529*l**2 - 609*l**2.\nAnswer: 2690*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -25. Let p = -11 - b. Put 1, p, 0 in descending order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -80 - -63. What is the nearest to -1 in -0.1, s, 1\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2360454904 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/3 - 28*b**4\/9 - 38*b**3\/9 - 8*b**2\/9 + 8*b\/9 = 0. Calculate b.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**4\/21 - 23*s**3\/21 + 12*s**2\/7 - 2*s + 94. Factor z(l).\nAnswer: -2*(l + 12)*(2*l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.2  (c) -13  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 - 4*x. Let w be t(-3). Let m = w + -7. Let r(d) = 2*d**2 + 5*d + 2. Calculate the remainder when 26 is divided by r(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -80*b - 24. Let r(u) = -16*u - 5. Suppose 8*t - 186 = 78. Let y(o) = t*r(o) - 6*w(o). Differentiate y(j) wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1.451 and -20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*j**2 - 743 + 1072 + 831 + 11*j**2 + 10*j**2 in the form l + n*j + k*j**2 and give l.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 3*x - 2*x**3)*(6*x + x - 4*x + 1) + x**4 + x**4 + 0*x**4.\nAnswer: -4*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus -512?\nAnswer: -512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23481?\nAnswer: 3, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1, -31, 20\/3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 444956 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -7*q**3 + 20*q**2 + 7*q. Determine b(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120 - 1113?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-44)\/44 - (-69 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/17, 1\/3, 19, -139 in increasing order.\nAnswer: -139, -3\/17, 1\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -9 + ((-14 - -46) + 14 - (-4 + 8))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 2*d + d)*(2*d + 2*d - 43 + 40).\nAnswer: 4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 j when three letters picked without replacement from nfncfnj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/5, 3, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*f**2 - 62*f**2 + 12*f**2 + (-3*f + f + 0*f)*(26 + 24 - 35 + 2*f + (3 - 5 + 3)*(0*f - 5*f + 4*f)).\nAnswer: -68*f**2 - 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14708093 (base 10) to base 15\nAnswer: 1457e48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(-4\/7))\/s)\/(s\/(s*s\/(s*s*s**(8\/7)*s*s)))*s**(-2\/21)*s*s\/(s*s*s*s\/(s*s**(-8\/9))) assuming s is positive.\nAnswer: s**(-359\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11581, 23164, 34747, 46330?\n\"Answer: 11583*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 - -27. Let u = 23 + -22. Are h and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31802 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26603.0953 - 26609. Round z to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2101?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**8)\/l)\/l*l*l*l\/(l\/l**(-1\/17)))**(1\/39) assuming l is positive.\nAnswer: l**(152\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 704922762*r**4 - 749008723 wrt r.\nAnswer: 2819691048*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) + (-5 + sqrt(176) + 0)**2 + sqrt(176).\nAnswer: -32*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 5*v = 5 - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -450*0.059\nAnswer: -26.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 823207 and 3.\nAnswer: 2469621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -211100211 (base 3) in base 7?\nAnswer: -65350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1993636064 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -14. Let s = 10 - 9. Calculate the remainder when t is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3993480*d - 1079290 wrt d?\nAnswer: -3993480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/2*(2 + 0). Solve -2*l - f = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a7923 + -114?\nAnswer: -1a7a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 10 = 0, 1210*v - 338 = -44*k + 1214*v + 1398 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 8*c - 9. Let b be u(5). Let q be b\/6 - (-1 - 866\/(-268)). Let z = 3224\/469 + q. Find the common denominator of -49\/10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of 2*o**4\/3 - o**2\/2 - 2*o. Let t be (0 - 2) + (3 - 0). What is the remainder when 12 is divided by g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 5*c**2 + 4*c - 1. Give q(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**5 + 550*a + 317*a + 27*a**2 + 444*a - 242*a**2 wrt a.\nAnswer: -40*a**3 - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26991.97 + 26884. Let l = r - -108. Sort 1, -2\/3, l, -0.2.\nAnswer: -2\/3, -0.2, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-53 - -55 - (-1 + 6) - -3) + -17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 + -9.5. Let m = -1 + -9. Let r = h - m. Which is the second biggest value?  (a) -1\/2  (b) -2\/9  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2091007776 and 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(-2)\/(-6)*((-2)\/(-8))\/(8225\/(-11844))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1286352*q - 67390 = -1286938*q for q.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 144 + 2132241013?\nAnswer: 2132241212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26.066 - 0.066. Let m = -25.9999981 + g. What is m rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-1*1 + (-8558 - -8556)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2 + 2*t. Let d(l) = 15 + 2*l - 13 - 2. What is p(d(v))?\nAnswer: -8*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -q**5\/30 - q**3 - 2*q**2 - 60. Let y(p) be the third derivative of n(p). Let z(u) = -u. Determine y(z(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/21 and -151\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -319 + 309. Does 63 divide (x\/4)\/(11\/22) + 635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149326 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) - (sqrt(88)\/sqrt(2))**2*-3 - sqrt(44)) + sqrt(176)\/sqrt(4) + 3 + 0.\nAnswer: 2*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.391 + 2.205. What is q rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 10 = 4*p. Let y be ((-12)\/45)\/(12\/p). Let g = -125 - -120. Sort g, y, 1\/4 in increasing order.\nAnswer: g, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -710*i + 713*i, -i + 846 = 3*m. What is the highest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -350 (base 6) to base 15.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 582682055 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 57.33  (b) 5\/3  (c) 2  (d) -1037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 times -0.063?\nAnswer: -2.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 302 + -302.2. What is the nearest to 2 in 96, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (7 - -1)*2\/4. Suppose -u - r = 3*y, -5*u - 4*y + 12 = -1. Let a(q) = 2*q**2 - 4*q - 5. Let k(f) = -2*f**2 + 5*f + 6. Give u*a(t) + 4*k(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -18314576.01 rounded to the nearest one hundred thousand?\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14430 + 4793 + 78*c**3 + 4816 + 4821.\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2066696*i**2 + 9952\/3*i**3 + 12370336\/3*i + 6180196\/3 + 4\/3*i**4 = 0. Calculate i.\nAnswer: -1243, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-10)*g**(2\/11)*(g**(-9)*g)\/(g\/g**(-4\/13)) assuming g is positive.\nAnswer: g**(268\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -82*j**3 + 682*j**2 - 2*j + 9559.\nAnswer: -246*j**2 + 1364*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 77 = -175. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/4)\/(3\/6). Let w = -3441 - -519593\/151. Let o = w - -276\/1963. Which is the closest to 2\/7?  (a) o  (b) y  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -1\/553  (c) -53\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 310*d - 486*d + 165*d. Let w(y) = 79*y. Give q(w(c)).\nAnswer: -869*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26 + (-4)\/14 + (-416)\/112. Let y be (-4)\/k - (-600)\/275. Solve y - 27 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 59 = 3*i + 4*q, 744*q + 11 = i + 751*q for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61 - 11. Let r = 109 + i. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {b: 3, p: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7 in 1, -0.1, -1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 55 or -1584?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -575524?\nAnswer: 575518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(2\/9)*r))**(29\/5)\/((r**(4\/7)\/r)\/(((r\/r**(-5)*r*r)\/r*r*r)\/r*r)) assuming r is positive.\nAnswer: r**(2564\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -7*l**2 - 13*l - 3. Let y(f) = -5*f**2 + 3*f + 8. Let b(c) = c**2 - c - 2. Let a(n) = 4*b(n) + y(n). Calculate -6*a(g) + d(g).\nAnswer: -g**2 - 7*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 + 15\/(0 - 5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/29260*11)\/((-13)\/(-91)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*r**3 - 2*r**3 - r**3 - 3*r - 2*r**3 + 3*r + (-3*r - 18*r + 8*r)*(2 - 2*r**2 - 2) to q*r + k*r**3 + a + n*r**2 and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2993994\/28312)\/(9\/(-8)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.06 - 5.06. Let t = 0.1869 - 7.1869. What is the nearest to -0.2 in t, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -3 + sqrt(245) + 2 + sqrt(15)\/(5*(sqrt(27) + sqrt(3))))**2.\nAnswer: -141*sqrt(5)\/2 + 21881\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6178 - -6181. What is the second smallest value in -0.3, -4\/3, -12, -7, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3095 = -5*v, v - 2*v + 3*d = -635. Is 40 a factor of v\/4 - ((-18)\/(-8))\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -153 + 220. What are the prime factors of j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*c + 18*c + 11*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 1:42 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 74.56957ng?\nAnswer: 0.07456957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3 = -3*n - 3, 5*q = 3*n + 6. Which is smaller: 31\/215 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4 + 8. Solve -q*p - 3*g = 15, 5*p - 3*g = -g + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3331198001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -198 in 1, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, 412454\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/(-110))\/(4\/(-20)))\/((-438)\/127677)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1826 = 104*i - 162 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20451330 (base 6) in base 7?\nAnswer: 5036565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 4*o - 27, -3*d = -5*o + 7 + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2751, 10989, 24717, 43935, 68643, 98841?\n\"Answer: 2745*z**2 + 3*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 3:47 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/75460638 and -143\/10644.\nAnswer: 150921276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1574*d - 1575*d + 7 - 6 - 1.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**5\/3 - 2*o**4 - 4*o**3\/3 + 8*o**2 - 16*o\/3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**4 + 15*z**3 + 380*z**2 + 660*z.\nAnswer: -5*z*(z - 11)*(z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 102.83408 - -0.16592. Which is the third smallest value?  (a) -2\/11  (b) -3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(14\/(-4) + 3)*-21. Let c = -6 + v. Let z(t) = -t**2 - 10*t - 21. What is the remainder when c is divided by z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*f - 23394 = 0, 2*q = 5*f + 2243 + 7127. Is q a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 1933*c**2 - 1325*c - 12. What are the prime factors of d(-4)?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 12:54 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 17*f - 4. What is the remainder when z(5) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2))**31)**(-12) assuming m is positive.\nAnswer: m**744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 8666649\nAnswer: 1733329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 5*i - 80. Calculate the remainder when 63 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -227*a - 13. Let n(b) = -660*b - 37. Let p(x) = 11*l(x) - 4*n(x). Calculate p(-1).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -4\/37, 0.1, -35, -2\/7?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((-1278)\/(-36) - 36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -124?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g + 5. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.96 + -10.96. Let z = -569 + 566. Let f be (3\/1)\/(5 - 0). Which is the second biggest value?  (a) z  (b) n  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -29) + (7 - -7) - -9?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 435304099 and -0.0410514?\nAnswer: 435304099.0410514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**3 + 187*m**2 + 95*m + 184. Give o(-93).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 4:45 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -557, -4414, -14883, -35270, -68881?\nAnswer: -119022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2 + (-24)\/10 + 6222\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -21*m. Let k(v) = 3*v**2 + 10*v + 9. Let f be k(-1). Let h(j) = 8*j**2 + 3*j**2 - 4*j**f - 4*j**2. What is o(h(w))?\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -12, -3, -68 in descending order.\nAnswer: -2, -3, -12, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -535*h**3 + 8*h**2 - 576*h**3 - 10*h**2 - 172*h**3 - 961 wrt h?\nAnswer: -3849*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -44*b - 626. Determine g(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 67 = -2*h, 17*h - 7698*o - 583 = -7694*o for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1030092  (b) -3  (c) -3\/4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a + 5*a + 12 = 0. Suppose -5*j = r + a*r, -j + r = -8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of o**5\/6 + 501*o**2. Let l(k) = 22*k + 3. Let w(b) = 66*b + 8. Let p(y) = 8*l(y) - 3*w(y). Give u(p(i)).\nAnswer: 4840*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 753 is divided by 96.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 1542*k - 22. Let r(f) = -1543*f + 30. Give -4*n(t) - 3*r(t).\nAnswer: -1539*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -518, -481, -396, -245, -10, 327?\n\"Answer: 3*o**3 + 6*o**2 - 2*o - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65508 and 156297?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ujjp when four letters picked without replacement from ujuuujcujjupuauf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least -463\/423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39613 - 236303\/6. Let h = i - 230. Let g = -1.655 + 1.555. Which is the closest to g?  (a) -1  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 7*p**2 + p + 9. Let i be r(-7). Let c = i + 2. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 16275 = 5*b, 3*b + 4*o - o + 9762 = 0. Let g = -2045 - b. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/(75\/2)*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1691 + 1740. What is the remainder when 403 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00270126 rounded to 5 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 1145 divide 49246450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**2 + 1213714*g + 3641160 = 0. Calculate g.\nAnswer: -3, 606860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**4 + 95*n**3*s**2 + 5*n**2*s**2 + 10*n**2 wrt n?\nAnswer: -48*n + 570*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 - 160 + 209 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 14*w**2 + 22*w - 332. Let t be c(12). What is the greatest common divisor of t and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14770447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of -n**8\/2184 + 2*n**7\/105 + 821*n**6\/780 + 2287*n**5\/195 - 205*n**4\/39 - 4600*n**3\/39 + 9760*n**2. Solve g(v) = 0.\nAnswer: -10, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6677*v + 48 = 6689*v. Let l(o) = 5*o + 6. Let f be l(8). Suppose 4*j = 30 + f. Solve 0 = -3*i - 4*h - 27, 7*h + j = -2*i + v*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/7*22*(420\/(-8))\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4114436 times 18\nAnswer: -74059848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of m + 0 + 0*m**2 - 4\/3*m**3. Let o(b) = 1 - 12*b**2 + 10*b**2 - 1. Calculate o(q(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 divided by -636?\nAnswer: -97\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 9:58 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3597.7 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, d: 5, n: 1, x: 13}. What is prob of picking 1 h and 1 x?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1111404*x**3 + 4009097*x wrt x.\nAnswer: -6668424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2148 times 0.6\nAnswer: -1288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -5418 + 5106. Calculate the highest common divisor of 1209 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 > 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-8) - (-12 - -12)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/4 - 21\/(-14). Suppose 0 + 1\/3*w**r + 1\/3*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**2 - 14*j - 7. What are the prime factors of s(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 267 + 8*k**2 + 425*k**4 - 266 - 7*k**2 - 2*k**5 + (-2*k + 2 - 2)*(-k + k - 2*k**4).\nAnswer: 2*k**5 + 425*k**4 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -7 + 0 + 15 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 70 + -66. Let r be x\/(-6) - -1*35\/75. What is the smallest value in r, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202220 (base 3) to base 2.\nAnswer: -10100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from {a: 2, f: 2, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 895216.2 millimeters in micrometers?\nAnswer: 895216200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 5*d + 3*a, -a = d + 4*a - 25. Suppose 0 = -d*p + 9584673 - 45584673. What is p rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7601\/12 + 633. Find the common denominator of 19\/2 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2166 - 5?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-54) - (0 + 17\/(-9)). Calculate the remainder when (2\/m)\/((-37)\/(-2220)) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 - -178. Suppose 136 + x = 2*u. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.1  (b) -19086  (c) -0.4  (d) 0.3  (e) -45  (f) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 4*k + 37, -u - k + 2 = -0. Suppose -764 = -3*b + z, -b - u*z + 250 = -3*z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i - 140 - 28. Let u = 23 - i. Determine y so that -2*y**u + 5 - 20 + 4*y + 3 + 10 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 27\/(-18)*14\/63. Is 3\/2 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 5*q + 166, -71 = -w - 5*q - 18. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/3 + 2\/2. Let a(t) = t**3 - 10*t**2 - t + 13. Let d be a(10). Solve v = -j - 3*s + s + 14, d*s - 27 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 682 divided by -858.\nAnswer: -31\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -615*g = -587*g - 141960. Calculate the greatest common factor of 50 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 - 54 = 6*z. Let x be (-10)\/(-104)*(-1 + z\/40). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 8*l**2 - 2. Let o(k) = -2*k. Calculate n(o(b)).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2 + 3*sqrt(539) + sqrt(539) + sqrt(539) + sqrt(539) + sqrt(539)*-3*-1)**2.\nAnswer: -882*sqrt(11) + 43708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 + -51. Suppose -4*v + 27 = -v. What is the highest common factor of y and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/4  (b) 1\/5  (c) -2\/3  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 48.51 - 111663104\nAnswer: -111663055.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127, -503, -1127, -1999, -3119, -4487, -6103?\nAnswer: -7967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -7*(-5)\/525*2\/(-1)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 7:57 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**4 + 3*q**4 - 2*q**4 + (3*q**3 - 12*q**3 - 5*q**3)*(-3*q + 3 - 4 + 2*q).\nAnswer: 13*q**4 + 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 535 + -72?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/8 and -59\/444?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 97, 181, 287, 421, 589?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - a + 2, 2*t - 3*a = a + 4. Suppose 3*n + 5*p - t = 0, -68 = -5*n + 2*p - 13. What is the least common multiple of n and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4422 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 20, 3*j - 8 = 4*j - 4*k. Solve j = 2*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h - 38*h + 14 = 0. Which is greater: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 6:06 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 4\/30 + (-1878)\/(-90)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*c - 9*c + 3*c - l, 0 = 39*c - 3*l + l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -347*x. Let r(p) = -39985*p - 2. Determine r(w(h)).\nAnswer: 13874795*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 0 + 0 + 7*f + 3. Let i(z) = -8*z - 4. Let d(g) = 6*i(g) + 7*r(g). What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 781803.\nAnswer: 3, 11, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -v**5\/30 - v**2 + 20. Let w(i) = 247*i**2. What is q(w(p))?\nAnswer: -122018*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -262489134*x**5 + 48304*x**2 - 212 wrt x.\nAnswer: -15749348040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**3 + 12*p**2 + 165*p + 150 = 0. What is p?\nAnswer: -5, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 40 - (-1 + 28\/7). Solve 5*a - b = -4*r, 0 = -r + 6*r - 5*a + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of s**4\/12 - 4*s**3\/3 - 13*s**2\/2 - s - 23. Determine m(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*n**2 - 10*n**2 - 14*n**2 + 141*n**3.\nAnswer: 141*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33608941417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12894619, 12894623, 12894631, 12894643, 12894659?\n\"Answer: 2*r**2 - 2*r + 12894619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -11*u**2 + 68*u - 185. Let c(s) = 4*s**2 - 23*s + 62. Let d(j) = 7*c(j) + 2*k(j). Let i(t) be the first derivative of d(t). Differentiate i(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44 + -4. Let y = -113 + 65. Let s = y + w. Sort s, 2, 4 in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 212077*x**3 - x**2 + 2598096*x.\nAnswer: 1272462*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -155, -151, -145, -137?\n\"Answer: o**2 + o - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*33\/(-1287)*1)\/(14\/3*-3)?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 15*y - 9. Let k(d) = -d**3 + 8*d**2 + 10*d + 7. Let w be k(9). Let f be g(w). Solve x - n + 7 = 0, 3*n + 22 = -x + f*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6884414\/7 - -983506. Factor -2\/7*f**3 - 88\/7 - 38\/7*f**2 + h*f.\nAnswer: -2*(f - 2)*(f - 1)*(f + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c - 2*c + 0*c - 2*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-1\/2))**(-5\/18)*n**(-1)\/((n*(n\/(n\/n**(-3\/5)))\/n*n*n*n)\/n) assuming n is positive.\nAnswer: n**(-169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a*y**2 + 12*a*y + 7067446*y**2 + 219733*y wrt y.\nAnswer: 8*a + 14134892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89655 divided by -695.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of p**5\/60 + p**4\/4 - 7*p**3\/3 - 3*p**2. Let y be l(-11). What is the units digit of (-3 + (7 - 3))*y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 711013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 242 divide 703734064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.93 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2794088 is divided by 2477?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.1, 2, -0.11, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**4\/7 - 268*n**3\/7 + 4612*n**2\/7 - 3828*n\/7 - 8712\/7 = 0. What is n?\nAnswer: -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 516 and 760928?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*a - 3 - 2 = 0, -2*g + 4*a = 10. Suppose 3*f = 4*o + g, 3*f = 2*f + 4*o - 1. Suppose w + 58 = f*w. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2468 - -0.0468. Which is the third biggest value?  (a) 2.1  (b) -0.3  (c) w  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 - 14. Find the common denominator of 4 - (-201)\/g - 2 and -45\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/97, -0.2, 4474?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 8*l + 24*l)*(-3*l**2 + 2*l**2 + 2*l**2 + (l**2 - 2*l + 2*l)*(4 - 3 + 0)) - l**3 + 0 + 0.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 53*v**3 - v**2 - 5*v + 7. Let c be o(1). What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = -4*j + 44*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*p**3 + 4844*p - 206*p**3 - 4844*p.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, v: 1, m: 5, j: 1, b: 2, u: 3}. What is prob of sequence cb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 6:43 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, h: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 5327 + 14399 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-391)\/(-368)*16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 420 and 392.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -26255 and -151.\nAnswer: 3964505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l**3 + 1459505*l**2 + 32110925*l + 176613415 = 0.\nAnswer: -11, 291923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvqphqqqq. What is prob of picking 1 p, 2 q, and 1 h?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27\/43 less than -1111800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -495 and 5506.\nAnswer: -2725470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of 5*z**4\/12 - z**3\/2 + z**2. Let g = 43 + -38. Is d(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 9, k: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(4400) + 0).\nAnswer: -100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-19)\/19)\/(1\/(-15)*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m + 2. Suppose 2*u - 3 = 1. Let h(s) = -1. Let p(t) = u*h(t) + g(t). Let r(c) = -2 + 2 - 2*c. Determine r(p(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14696 - -14684. Sort -104, 4, h in descending order.\nAnswer: 4, h, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/4, 0.2, -183770 in increasing order.\nAnswer: -183770, -1\/4, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -11 + 0 + -1 + 1. Suppose -4*c - 2*m - 52 = -7*c, c + 5*m = 6. Let l = b + c. Solve l*n = x - 12, -4*x - 2*n = -6*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*a**2 - 10194 + 5042 + 5060 in the form v*a**2 + b + s*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + p = 20. Suppose -4*w + 624 = -4*x, -p*w = -2*w - x - 316. Suppose -5*v + w = -75. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49155931*y**6 - 675112*y**2 + 5?\nAnswer: -5898711720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -4*g - 6. Suppose 3*s - 42 + g = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from hgzvkgkv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**2\/11 + 146204*t\/11 + 13142160\/11 = 0 for t.\nAnswer: -73012, -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-53046)\/(-421)*(-8)\/(-48)*4\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 193545 or 580634\/3?\nAnswer: 193545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.95 - -0.35. Let x = -0.106 - -0.026. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 9*g**2 + 7*g - 11. Let v be b(-8). Let s(p) = -p - 3. Let y be s(v). Let u = 15 - y. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 10*m. Suppose -29*h = -21*h. Let v(u) be the first derivative of 5 + h*u + 1\/3*u**3 + 0*u**2. Determine i(v(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c*t**3 - 3*c + 1174*t**3 with respect to c.\nAnswer: 3*t**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 4*y - 67 = -8*h + 8*h, -4*h + 21*y - 253 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 390*i**4 - 167*i?\nAnswer: 4680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -89\/28 + 15\/4. Is 2\/7 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12553, -25110, -37671, -50236, -62805, -75378?\n\"Answer: -2*k**2 - 12551*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6832885 is divided by 744.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/(-2)*(-102)\/119. Suppose 4*b - 3*c = -37, n*b - 4*c = -7*c - 12. Let j(r) = -r**2 - 8*r - 4. Give j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((2\/4)\/(-1)). Let d be 2\/1 - (107 + -111). Solve c*r - 4*r = d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 193207, 386628, 580049, 773470, 966891?\n\"Answer: 193421*o - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1814*w**3 - 164 + 164 - 9487*w**3 - 1877*w**3.\nAnswer: -9550*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(4\/(-16)*2)\/(8\/28)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 149 + -148.99431. What is x rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(300)*3 - (sqrt(300) - (0 + sqrt(300))*-6) - ((sqrt(300) - -5*(sqrt(300) + 0)) + -2))**2.\nAnswer: -640*sqrt(3) + 76804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = -5*g - 51*k, k + 3*k - k + 3 + 0 = -g + 4 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1475 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37467 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, f: 3, k: 3}. Give prob of picking 2 k and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23645 + 11826 - 491*z**2 - 811*z**2 - 770*z**2 + 11822 to k*z + r*z**2 + o and give r.\nAnswer: -2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*v - 1 = 1, -4*l + v = 6. Put l, -18, -4 in decreasing order.\nAnswer: l, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 42017 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.9  (b) -1\/11  (c) -0.8  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*u = -0*u - 216, 5*c = -4*u + 358. Let v = 1 - -24. Calculate the remainder when c is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.42 - -0.42. Sort 0, 2\/7, r, -2 in decreasing order.\nAnswer: 2\/7, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 4*p - p + 2101, 2*p - 2609 = -5*h. Suppose -h + 63 = -5*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 0*f - 5 + f - 3. Let r be i(11). Solve 3*p**r - 2*p**3 - 9*p**5 - 7*p**3 - 15*p**4 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(1*(-3)\/(-12)). Find the second derivative of -3*v**k + 0*v**4 + v**4 - 2*v wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3999 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 4:43 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -75.1 - 1725.9. Let l = v + 1798.938. Let t = 0.062 + l. Put 0.5, -7, -3, t in descending order.\nAnswer: 0.5, t, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4499205.08186967 + -0.08186967. Let z = -4499293.99738 + b. Let r = z - -89. What is r rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*h = -198, -6*h + 280 = 5*b - 2*h. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/115)\/(-9*(-5)\/(-75))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1073 and 435?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20721763?\nAnswer: 20721763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*m**2 - 2*m + 19*m - 42*m - 6*m + 79*m.\nAnswer: -158*m**2 + 48*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -14. Suppose 2*l = -4*c + 402, w = 2*c - 2*l - 84 - 102. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 90.77 + 0.23. Let a = v + -91.00000052. What is a rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 596037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qntqnnzqototczn. What is prob of picking 1 o and 1 c?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -93924415*k**5 - 4*k**2 - 5*k + 104253 wrt k?\nAnswer: -5635464900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 153 + 152 - 454 - 2113*t**2 + 149 as g*t + n + d*t**2 and give d.\nAnswer: -2113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 23*l**4\/12 + l - 87. Let a(w) = 7*w + 3. Give y(a(z)).\nAnswer: 1127*z**2 + 966*z + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 86419 - -1.367.\nAnswer: 86420.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*q + 46*q - 21*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4854 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2231 in -0.04, 4, -7, -2\/3, 1\/6?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**2 + 7*o + 9. Let x(t) = t**2 - 3*t - 4. Let d be -8 - 2*(-1)\/2. Give d*x(q) - 3*b(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 906752331.\nAnswer: 3, 100750259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -5960?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3111662 * 3.\nAnswer: -0.9334986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {b: 1, d: 1, k: 1, v: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the second derivative of w**4\/12 + 2*w**3\/3 + 3*w**2\/2 - w - 2. What is h(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*o**4 - 23*o - 4*o**2 - 11*o**4 - o**3 + 24*o to w + p*o**2 + z*o**4 + g*o**3 + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 106 (base 7) to base 10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -126739*p**3 - 98100*p**2?\nAnswer: -760434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -7804540975 + -12\nAnswer: -7804540987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -283 - -197. Let n be -2870*k\/4 + -5. What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -910 + 1011. Calculate the remainder when 403 is divided by s.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6051543934.\nAnswer: 2, 3025771967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 AM and 6:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 33*q - 31*q. Solve 0 = -q*t + 8*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -26, 17, 3, -2 in ascending order.\nAnswer: -26, -3, -2, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12910 divided by -8.\nAnswer: 6455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -15, 51316, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -78*7\/(-210) - (-2)\/5. Let k be (-42)\/(o - -4) - 6\/(-1). Solve k = 17*f - 14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wdzdddwddzwzz. What is prob of picking 1 w and 1 z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 2*c**2 - 870*c - 3211. Determine x(0).\nAnswer: -3211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 460 + -475. Which is bigger: 2\/5 or v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 6 = 3*k. Let i be (-4)\/(-6) + 228\/36. Differentiate 5*b**4 - 4*b**k + 4 - i + 0*b**4 wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (180\/15 - 15)*2\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 195*z + 7533. Give s(-37).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + 24*u - 11. Let m be j(20). Let r = 20 + 29. Let w = m - r. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -15*h - 268. Let i be d(-18). Solve -4*l - 3*a + 8 = 1, i*a - 16 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6609, -7117, -7803, -8667?\nAnswer: -9709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 4*y**2 - 983*y + 7644. Calculate k(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-6)\/(d*((d\/(d*d\/((d**15\/d)\/d)*d))\/d)\/d*d))**(5\/11))**(-1\/4) assuming d is positive.\nAnswer: d**(85\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -116875*t - 605. Let d(x) = -387*x - 2. Give 605*d(n) - 2*r(n).\nAnswer: -385*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1393705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**1\/b)*b)\/(b\/b**(1\/5)))\/(b**(1\/4))**(-19) assuming b is positive.\nAnswer: b**(119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-5))\/(2\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 321361.\nAnswer: 97, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1, -961 in descending order.\nAnswer: 0.2, -1, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/173, 0.01, 5 in decreasing order.\nAnswer: 5, 0.01, -2\/173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*c**4 - 419*c**3 + 17124*c**2 + 197719*c - 14210 = 0.\nAnswer: -49, -10, 1\/14, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmmm when four letters picked without replacement from {g: 2, m: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -5555758.52 to the nearest one thousand.\nAnswer: -5556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4057 + -4057.0000006405. Round k to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 7:09 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-3*6*(2*sqrt(245)*2 + (1 + sqrt(245) - sqrt(245)) + 3)*1)**2.\nAnswer: 1161216*sqrt(5) + 20404224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3196189 - -161.94285?\nAnswer: -3196027.05715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 931 divide 17234411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4566 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide (8 - 1580)\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1190 + 676*h**2 + 2385 - 363*h**2 - 1195 - 313*h**2 + 16*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -12 - (-634 - -629).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -22*b - 15. Let z be t(4). Let k = 179 + z. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10110021200 + -21010?\nAnswer: 10110000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 137700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(-2)\/3*6. What are the prime factors of 4*-2*(-6)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 866*u - 115*u + 3.\nAnswer: -981*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -946\/5 + 7243\/40. Let i = -21653\/10 + 2167. Calculate the common denominator of i and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22134 (base 13) to base 12\nAnswer: 2b880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 84162937 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -o - 4*m, -o = -2*m - 18 + 9. What is t in -o*t - 3*t**5 + 5*t**4 + t**4 - 108 - 2*t**3 - 12*t**2 + 114 + 8*t**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 1  (c) -436  (d) 9\/152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 12*i**2 + 5*i - 15. What is b(12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/15*m**3 - 4\/5*m**2 - 2\/3*m + 8\/5.\nAnswer: -2*(m - 1)*(m + 3)*(m + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i\/(i*i**0)*i**11)**(1\/5))**(1\/8) assuming i is positive.\nAnswer: i**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -73 + 76. Suppose 6*f**4 - 42*f - 5*f**4 + 36*f**2 + 9*f - 10*f**v + 32 - 23*f = 0. What is f?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.29 - 0.290125. What is u rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 12:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**2 + 3*k**2 - 3*k - k**2 + 0*k**2 to the form u + q*k + v*k**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -125  (b) 1\/3  (c) 3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11900 divided by 2380.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 0 + 226*v**2 + 5 + 2*v - 8 + v. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -648253700 to the nearest 1000000.\nAnswer: -648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103471 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1916.82281 and 1.\nAnswer: 1917.82281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, r: 2, v: 1, x: 1, w: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5918 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*(-92)\/(-69) - (35 - 5).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2416\/(-18))\/(-8) + 4\/18. Solve -9*f + 10 = -q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1509, -3015, -4521, -6027, -7533?\nAnswer: -9039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11\/1002 + 2059\/5010. Let p = 0.3 - 0.2. Put 5, 1, r, p in descending order.\nAnswer: 5, 1, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, m: 7}. Give prob of sequence umu.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -46 - (-35 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 59\/11 + -1743\/286. Let f be (-1 + (-10)\/(-13))\/(-1). Let u = a + f. Is 1\/2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 75678645 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, q: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 76*h**4 + 144*h**3 + 60*h**2 - 8*h = 0.\nAnswer: -1, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-1))**(-25))**(-5) assuming a is positive.\nAnswer: a**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*w**2 + 0*w**2 + 24*w**2.\nAnswer: 129*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16271268, -16271266, -16271260, -16271250, -16271236, -16271218, -16271196?\n\"Answer: 2*r**2 - 4*r - 16271266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3242*a - 4435*a + 2007*a - 158760 = 0 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 36472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 707829 - -22.061\nAnswer: 707851.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*m + 31 + 56 + 173 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 8 = -2*r. Let d = r - 6. Let n be ((-3)\/(-6))\/(1\/d). Let g(k) = -5*k**3 + 2*k + 1. Give g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.222 - 0.52.\nAnswer: 5.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 14, i: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 5*t + 3*t - 2*t - 7 - 2*t to the form u + c*t and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -92 and 13.60029.\nAnswer: -78.39971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36.562 + 9.477. Let r = -27 - b. What is r rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -14*p + 425. Let s be b(30). Solve -5*t + 2*g + 0*g + s = 0, -t = -2*g - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xuuu when four letters picked without replacement from {u: 6, x: 3, a: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/168248200 and -27\/16.\nAnswer: 336496400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.16, -35, -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22410, -22411, -22410, -22407, -22402?\nAnswer: -22395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*n + 2, 2*n = -4*a - 2 + 4. Put n, -4, 17, -9 in increasing order.\nAnswer: -9, -4, n, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18 + -13. Suppose 2*c - n = -o + 10, -3*c + 3*o + 18 = 0. Calculate the remainder when 18 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10748 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-3))\/(3\/15). What is the closest to 0 in 1, x, 0.4, -1.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 47 = -2*c - 5*n, -c - 36 = 5*n. Let q(r) = -31*r + 22. Let i be q(c). Let p = i - 244. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 6:44 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -7 + 4\/22 - (-196)\/1078?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)) - (sqrt(1700) + 1 - sqrt(1700))**2.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -40691900 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12210120111 + -10100101?\nAnswer: 12200020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 0*q - 1 - 3*q - 2. Let x(c) = -c**3 + 12*c**2 - 12*c + 6. Let z be x(11). Let v be p(z). Solve -2*l + 5*l - v = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52\/11*c - 53\/11 + 1\/11*c**2.\nAnswer: (c - 1)*(c + 53)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 + 63 = 3*t. Suppose 2*f - f = -j, 4*j = 5*f - 36. Calculate the greatest common factor of f and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/42344 and -17\/536?\nAnswer: 42344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hgghg. Give prob of sequence gggh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -53 + -185?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 5:56 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**4 - 46*a**3 + 2*a**2 + 2 + 46*a**3 - 4*a in the form q*a**4 + f*a**3 + c*a + o*a**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 32422 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 0, 0.3, 45 in decreasing order.\nAnswer: 45, 3, 0.5, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - t = t - 9, -4*m + 15 = t. Let a be (-92)\/(-8)*(-5 + m). Do -2\/7 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (703\/(-111) - -7).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -738, -2793, -6218, -11013, -17178, -24713?\nAnswer: -33618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, f: 7, d: 7, l: 1}. Give prob of sequence wwld.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 14. Let y = -10 - x. Let v be (0 + -1)*2\/1. Put v, 0, y in increasing order.\nAnswer: v, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -243?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 345979 divided by -1\nAnswer: -345979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5120 divided by -16.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 21432, 21429, 21426?\n\"Answer: -3*d + 21435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 126886, -2\/63 in decreasing order.\nAnswer: 126886, -2\/63, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 2155  (c) 12  (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhhfhlffffhhhhfhhf. Give prob of picking 3 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -h**5\/20 + h**4\/2 + h**3\/6 - 5*h**2\/2 + 10*h + 62. Let w be ((-8)\/10)\/((-10)\/75). What is p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 9*v - 3. Let n(x) = x**2 - 3*x + 2. Let y be n(3). What are the prime factors of s(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/3, 2\/5, 5830, -2?\nAnswer: 5830","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27.1 - -29. Let b = -2.12 - -0.12. Let w = t + b. Sort -4, -2, w.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2471157895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q. Let n be 35\/6 - (-5)\/30. Suppose -n = -0*t - 3*t. Let o(z) = -t*z - 3*z + z. Determine p(o(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**1)**(-30)*(f**(1\/2))**(-13) assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + 0 + -4)**2 - ((sqrt(108) - (-2*sqrt(108) + sqrt(108))) + 2)**2 - (sqrt(75) + 1 - 3*sqrt(15)\/sqrt(5))**2*-2.\nAnswer: -286 - 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*m = 5*m. Solve 0*u + 5 = -z + 4*u, 3*u - 3 = m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*v + 65*v - 72*v + (2 - 5 + 1)*(-3 - 2*v + 3) to s + t*v and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/9*-5*(-12)\/(-100)*(-950)\/(-10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107820 is divided by 315.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -347 or -346?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*l + 318 = -98 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -1  (c) 24584.7  (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**15\/l)\/(l*l**18*l*l))\/(l**(-2))**(-27) assuming l is positive.\nAnswer: l**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*w = -30, 48*w - 43*w + 70 = -5*r. Determine n, given that 1\/5*n**3 + r*n - 7\/5*n**2 + 0 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2311 (base 12) in base 13?\nAnswer: -1a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 40 - 40 - 2*v - 77*v as x + n*v and give n.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.08, -4, 3, -2682, 0, 1\/2 in increasing order.\nAnswer: -2682, -4, 0, 0.08, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -599618, -599637, -599670, -599723, -599802, -599913, -600062?\n\"Answer: -x**3 - x**2 - 9*x - 599607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -3. Let x = -94.587 - 0.113. Let j = x - -94.72. What is the nearest to w in j, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*9\/(-15) - (-8)\/30?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 3625035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 3*a)*(4*a**2 - 5*a**2 - 2*a**2) + 8*a**3 + 3*a**3 + 7*a**3 + a**3 + 0*a**2 + 0*a**2 - 5 + 5 - 2*a**3 + a**3 + 3*a**3 - 2*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -28)\/(-2) + (-25)\/(-12 - -37). Calculate the greatest common factor of 1458 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 3:48 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -90 + 123. Suppose 7*t + 5 = y. Suppose 3*l = t*z + 4*l - 898, 2*z = -5*l + 458. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 10:52 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 0*o = 0, -3*o = -4*d + 500. Let s = d + -100. Suppose 3*v = -c - c + s, -2*v - 16 = -c. Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1885*f**4 + 2 - 642*f**4 - 2*f**3 - 986*f**4 to the form n*f**2 + j*f**3 + a*f**4 + l + v*f and give a.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -2*q**5\/15 + 7*q**4\/9 - 34*q**3\/27 + 2*q**2\/3 - 18. Suppose z(x) = 0. Calculate x.\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -1. What is the units digit of (1\/c)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, w: 2, j: 13}. Give prob of picking 2 w and 1 m.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-536321)\/5588 + 96)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/126458 or -1?\nAnswer: -3\/126458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 9. Let o be (8\/(-6))\/(z\/6). Let u(g) = -6 + 3*g + 2 + 0 + g**o. Give u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = a + 166 - 21, 3*a = -3. Let u be (-4 + 2 + r)*-62. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2. Let c(p) = 2*p**2 + 8*p**2 - 10*p**2 - p**2. Determine c(i(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6*1)\/(9\/12). Let a = -578 + 580. Put 3, c, a in increasing order.\nAnswer: a, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37 - -19. Let f = 18.5 + x. Which is the closest to -2\/9?  (a) f  (b) -0.2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-56)\/(-84))\/((-1)\/9) - (-20 + (-55 - -24))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/3 + 0. Sort f, -1, -2, -6 in ascending order.\nAnswer: -6, -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6187, 12374, 18561, 24748?\n\"Answer: 6187*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-a**3 + a**3 + a**3)*(0*a - 4*a + 6*a) + 0*a**3 + 0*a**3 + a**4 + 3979*a**4 + 2875*a - 7943*a**4 + 3966*a**4)*(3 - 1 - 1)*(3 + 0 - 2).\nAnswer: 5*a**4 + 2875*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 2*a = -4*l - 1, -9 = 2*a + 3*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -383, -769, -1155?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5*v = -13566, 4*y - y - 4*v - 10175 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19628731 to the power of 1\/2, to the nearest integer?\nAnswer: 4430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/560*(-24)\/(2 - -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1222*q**2\/9 - 58820*q\/3 + 105850\/9 = 0 for q.\nAnswer: -145, 365\/611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)*-1*-6)\/(sqrt(384)*1))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.895 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*z + 168 = -129*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -85 - -90.3. Let a = -13.3 + t. Let u = 10.4 + -10. What is the biggest value in a, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4*sqrt(171) + 4)*-5.\nAnswer: -20 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k + 1. Let g(m) = -2*m - 1. Let r(z) = -5*g(z) - 2*y(z). Let h be r(-3). Which is the closest to -1?  (a) -1  (b) 0.2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 35 + 1 + 2 + 0\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*(1 - (-1 + -2)). Let j(b) = 0*b**3 + 9*b**3 - 11*b**2 - 10*b**3 + 19 - b. Let o be j(-11). What is the highest common factor of o and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = -2*v - 0*v + p, 4*p = -3*v + 281. What is the remainder when v is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**29*o)\/(o\/o**(2\/19)) assuming o is positive.\nAnswer: o**(553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 9817*y**2 - 369*y + 2935. Is o(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 297953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 3 = 3*w - 2, 0 = 3*i + w - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10398630 and 105.\nAnswer: 72790410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9.45 - 9. Let v = -0.8394 - -0.3821. Let r = c + v. Round r to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 11, q: 5}. Give prob of picking 2 a.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -140 divided by 232915?\nAnswer: -28\/46583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 211\/11 - 2\/11. Let s = -10 + j. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4917, 9622, 14335, 19056, 23785, 28522, 33267?\n\"Answer: 4*o**2 + 4693*o + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -12287.209?\nAnswer: -61436.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 9:29 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 121d0 (base 14) to base 7\nAnswer: 243050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -373 + 373. Let t = 1 - 0. What is the second biggest value in d, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 8*c**2 + 6*c + 1. Determine m(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26.2 and -12?\nAnswer: 314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 7*b**2 + 7*b + 2. Let u be 1\/2 - 10\/(-4). Suppose u*z + 33 = -3*d, -4*d - 3*z + 2*z = 35. Is w(d) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -249*x + 4302 = 468*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -4*n - 10, 2*n + 6 = -84*q + 85*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1059.5 - -1060. Let r = 0 - -0.2. What is the smallest value in f, -1, r, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(210\/45 + 8\/(-2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of k**4\/40 + 23*k**3\/10 + 1587*k**2\/20 + 12167*k\/10 - 3. Factor i(n).\nAnswer: (n + 23)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5507046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 3*i = 0. Let p(c) be the third derivative of -c**4\/24 + c**3\/3 - 10*c**2. What is the least common multiple of 3 and p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/(3*(-6)\/(-9)))\/2. Is 1\/179 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -327*o**3 - 2*o**2 + o + 1. Suppose 27*a = 48*a + 21. Let t be i(a). Calculate the greatest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61087?\nAnswer: 13, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-112)*-8*(-4)\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(24)*5)\/((4*sqrt(64))\/sqrt(8) + sqrt(8)) + (sqrt(18)\/(sqrt(4)\/sqrt(2)) - sqrt(9))\/(sqrt(3)*1*3)*6.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -521242 (base 6) in base 8?\nAnswer: -121472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 84  (b) 18\/83  (c) -5  (d) -0.1  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*v**2 + 9*v**2 - 12*v**4 + (3*v - v**4 - 3*v)*(1 + 1 + 1).\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, b: 2}. What is prob of picking 2 b and 2 r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/5*(-14)\/(-119)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-7 + 10 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 797674 and 9996.\nAnswer: 234516156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -7. Let q = -4 + a. Let g be (18\/6)\/(1*q). Is -3\/2 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 11 = 3. Suppose -3*o = 2 - 8, 2*o + r = -2*m. Let x be ((-26)\/m)\/(2\/4). Calculate the greatest common factor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l + 106 = -3524. Let p be (-2)\/(-16) + l\/(-176). Which is smaller: p or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -89, -78, -53, -8, 63, 166, 307?\n\"Answer: a**3 + a**2 + a - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v - 9. Let m = 16 - 4. Let z be l(m). Let h(s) = 4*s**2 - 4*s + 2. Let r be h(z). What is the greatest common divisor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4 - 24*d + 8*d - 5*d - 1. What is the tens digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 49 + 10 = -2*m, -2*m + 50 = 4*o. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1079757 divided by -3\nAnswer: 359919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*m - 12*m + 24*m + (3*m - m + 0*m)*(-1 + 2 - 3) + (1 + 1 - 3)*(4*m - 5*m - m))*(1 - 2 - 4)*(21 - 27 - 48) to the form r*m + y and give r.\nAnswer: 7020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**2 - 9*o + 9. Let r(d) = -d**2 + d - 1. Let x(q) = -r(q) - z(q). Let s be x(6). Let y = s - 3. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 478524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 1113216376681.\nAnswer: 1113216376681.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-6 + 6 - 8)) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.261339 centuries in decades?\nAnswer: 22.61339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 136124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*h**3\/5 + 26*h**2\/5 - 22*h\/5 + 4\/5.\nAnswer: -2*(h - 2)*(h - 1)*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**3 - 6*p**3 + 6*p**3 + 1 - 8.\nAnswer: 5*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 6:33 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.2 - 2. Let j(s) = -s - 7. Let i be j(-6). What is the nearest to y in 1, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36127.463 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 7) in base 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, v: 6, t: 1, m: 3, x: 5}. What is prob of sequence wwtv?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 47575603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 313*n = 2604*n + 80185 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(275) - (sqrt(275) - (-5 + -1*sqrt(275)))))**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2, 3, 4, 5?\n\"Answer: w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32098260 by 3.\nAnswer: 10699420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkdkkkkk. What is prob of sequence dkdk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 338 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19.188mm to meters.\nAnswer: 0.019188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20645\/14 - -1477. Calculate the common denominator of 149\/24 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1377 and -4.308.\nAnswer: -4.4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -25, -1, 2\/5, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 998717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -15*u. Let p be (-8 - -7)*9\/(-1). Let v be (-8)\/(-4)*p\/6. Let t(c) = 5*c - 3*c - 3*c + v*c. Give k(t(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**5\/20 - g**4\/3 - 2*g**3\/3 + 2*g. What is r in i(r) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from whddhctm. What is prob of sequence wc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 11, c: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/sqrt(2) + (sqrt(125) + -1)**2.\nAnswer: -8*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1210 - -22100?\nAnswer: 20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2 + 0)*(-2*h + 2 - 2) - h - 4 + 4 - h + 0*h - h - 13*h + h - 2*h + (3*h + 2*h - 6*h)*(-7 + 4 + 4))*(0 - 3 + 0).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by (16\/6)\/((-12)\/(-144))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1632 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1644 and -49\/5222440?\nAnswer: 15667320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 68, 283, 428, 503, 508, 443, 308?\n\"Answer: -35*v**2 + 320*v - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -381*l**2 + l**3 - 7 + 7 - 1886*l**2.\nAnswer: l**3 - 2267*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 238 + -138. Is 50 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -38) + -13 - 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 3419.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1663283, 3326566, 4989839, 6653102?\n\"Answer: -5*n**2 + 1663298*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 172 - 169. Put -2\/11, -4, x, -2\/5 in ascending order.\nAnswer: -4, -2\/5, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*h = 249 + 66. Sort h, 56, 5.\nAnswer: 5, h, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -17. Suppose -s = k - 6. Let j(d) = 14*d - 81. Let t be j(6). What is the nearest to k in t, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ebfbbffbefeebf. What is prob of sequence ffb?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0007*-69.08.\nAnswer: 0.048356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(308)\/(sqrt(7) + sqrt(567)) - sqrt(44))\/(-5*sqrt(400))*1.\nAnswer: 9*sqrt(11)\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -17*l + 10. Let f be x(-1). Suppose 0 = 3484*o - 3483*o. Sort f, o, -4, 3 in increasing order.\nAnswer: -4, o, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 0 + 0*u**2 - 3*u - 7\/2*u**3. Suppose 3*f + 5 = -1. Let r(a) = -4*a. Calculate f*m(y) + 11*r(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 1049.079846 to the nearest integer.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -368\/9 >= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2674622 is divided by 534924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -117.27103 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26673 - -35490. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 83 = -6*i. Calculate the remainder when i is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-16))\/(522\/(-11136)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j**3 + j**2 + 3*j - 1. Let k be (-6 - (1 + -5))*14\/(-4). Let d be (5\/(-2))\/((-4)\/(-8)). Let n = d + k. Calculate l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -501332 (base 7) in base 15?\nAnswer: -1a0b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + r + r)*(0 + 3*r + 0) - 20*r**2 - 100*r**2 + 34*r**2 + (-2*r - 4 + 4)*(4*r - 2*r - 4*r) + 0*r**2 + 2*r**2 + 3*r**2.\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 4 + 1)*(-v - 6*v + v) - 4*v - 4*v + 10*v to r*v + i and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -72058 equal to -72058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1254, -3\/7, -0.4, 0.1 in increasing order.\nAnswer: -3\/7, -0.4, 0.1, 1254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vivvii. Give prob of sequence viv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/24)\/((-28)\/16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, u: 6, n: 3, a: 5, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 7, w: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-5*1*(sqrt(567) + 5*sqrt(567)) + (0 + sqrt(567))*-6 + -4))**2.\nAnswer: 41472*sqrt(7) + 11757568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 3. Let a = -0.6 + 0.3. Let i = 162\/11 + -1480\/99. What is the closest to 0.1 in i, a, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*1\/(-4) + 6\/12. Is -23\/22 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 591937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1 + -9)\/1)\/(200\/(-240))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**3\/8 - 3*z**2\/16 - 3*z\/4 + 7. Solve c(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 49, 72, 95?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -243.00167 - -243. Round d to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**2. Let o(a) be the first derivative of 10*a**3\/3 + 6*a - 454. Give o(v(n)).\nAnswer: 40*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 210.5781544 and -23.\nAnswer: 187.5781544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 1)\/((-12)\/(-18)). Let y = 132 - 81. Let a = -47 + y. Solve b = -6*q + m*q - a, -q - 18 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 268*l - 29745. What is c(111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/11  (b) -0.3  (c) -27  (d) -840.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3256 * -0.039\nAnswer: -126.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3134288, -6268660, -9403022, -12537368, -15671692?\nAnswer: -18805988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5850 at most -129.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(1*sqrt(1215)*-1)\/((sqrt(48)\/sqrt(2))\/sqrt(8) - (sqrt(3) + sqrt(3) + sqrt(12)\/(sqrt(16) - sqrt(4)))) + -1)**2.\nAnswer: 9*sqrt(5) + 409\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54133588?\nAnswer: 2, 67, 73, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 149*a - 3. Let l(m) = -14*m + 2. Calculate l(n(u)).\nAnswer: -2086*u + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = o - 4, -2*o + 4*l + 2 = -6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3837 - 7670 + 1073*c + 3832 in the form b + g*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ppyyypppyppppy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -646\/75 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bxmmssksssxssksb. Give prob of picking 1 k and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1.21  (b) -34  (c) -8636\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(396)*-2 + -3 + 0 + 0 + sqrt(396) + 5*-2*sqrt(396) + 1)*5)**2.\nAnswer: 600*sqrt(11) + 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(405) + 2)**2 - sqrt(50)\/(-2*sqrt(40)\/sqrt(4)))*-6*-2.\nAnswer: 438*sqrt(5) + 4908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23 - -28. Suppose 0 = -u*z - 4 + 84. Calculate the least common multiple of z and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16*(-7)\/224)\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 790609144 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-78)\/(-429) + (-24)\/374. What is the fourth smallest value in -12\/5, d, -2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*r + 447 - 60. Let g(v) = -v**3 + 8*v**2 + 8*v + 4. Give g(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 101?  (a) -59  (b) -1  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3bc3d + -2ad?\nAnswer: -3c10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((-1 + -5)\/(-186)). Let s = j - 25. Solve 3*p = -4*h + s*h + 15, -2*h = -4*p + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41207542027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72 - 68. Suppose 730 = z + i*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -53)*(124\/372)\/(6\/9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1 + (-6 + 3 + 2)*(3 - 1 - 1) + 1 + 1 - 3)*(-2 - 19 + 0)*(-7*m + 3*m + 2*m)*(21 - 21 - 45*m).\nAnswer: 7560*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, a: 4, j: 6, z: 1}. Give prob of picking 1 q and 1 a.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-1 + sqrt(252))**2 - 5*(sqrt(98)\/sqrt(2))\/sqrt(7).\nAnswer: -17*sqrt(7) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9003501 and 2147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15224042 to the power of 1\/2, to the nearest integer?\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -379*w + 376*w, 4*k + 36 = -5*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 92 = -h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.017 + 1.957. Let d = -1.94000028 + l. What is d rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-2 - 3) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**2 - 14*g. Let x(n) = 64 - 33 + 2*n - 31. Determine x(c(z)).\nAnswer: 6*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/7, -2\/5, 52676, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -72522*m + 686*m**2 + 72522*m in the form o + w*m + d*m**2 and give d.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, t: 17, g: 1}. Give prob of sequence gttd.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.9 + -4.8. Let u = -551.02 - -551. Which is the nearest to l?  (a) -0.5  (b) u  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4*g + 88 = 0, 0 = -2*g - g. Suppose 17*f - 180 = -554. Let x = f + h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-866986)\/(-205) + (2 - 33\/15).\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 7878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10360 and 74?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 34 and 81.1?\nAnswer: 2757.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a factor of 583276953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-3\/4)))\/((p*p**(-4\/5)\/p)\/p*p))**50 assuming p is positive.\nAnswer: p**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-582)\/5529*570\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.31 and -7.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -88 times -49\nAnswer: 4312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 + 7*x - 12. What is f(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 0.2, -4, 1, 5, 629?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -191206*l + 226766.\nAnswer: -191206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.229502ms to nanoseconds.\nAnswer: 3229502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14 - 16 - -21 - 10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8844 divided by -4422.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -13*a**4\/4 - 3*a**2\/2 + 5. What is the second derivative of g(s) wrt s?\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u. Let c be d(3). Suppose 0 = -3*g + c, 19 + 33 = -2*v + 4*g. Is 785\/9 + (v\/27)\/4 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99791539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 5 = -2*w. Let f be ((-70)\/(-21))\/(2\/3). Suppose 5*c = -2*s + 2*c + 51, -f*c - 69 = -4*s. What is the highest common divisor of s and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(5\/6)\/n)\/n**(-1\/17) assuming n is positive.\nAnswer: n**(-11\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 12) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(40) + (sqrt(90)\/sqrt(81) - sqrt(10)) + sqrt(10))\/(sqrt(1568)*-3).\nAnswer: -13*sqrt(5)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/15 + -1 + 15\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*o = 53*o - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/6)\/(24*(-29)\/(-4176)). Sort -438, a, -6 in descending order.\nAnswer: a, -6, -438","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -6*k**3 + k**2 + k - 2. Let a be n(-2). Suppose a = -m + 4*m. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1266 + 1269. Solve 0 = -i - q*a + 8*a + 15, -4*a - 21 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-49)\/(2793\/152).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 55 - 24 - 3*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2\/17*o**2 + 2\/17*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*f**2 - 12 + 3*f - 7 + 19 to h*f + r + k*f**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1780 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36581761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4412\/(-33090)*10\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -208626.9 + 200328. What is t rounded to the nearest one hundred?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 11) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.478, -76, 0 in increasing order.\nAnswer: -76, 0, 0.478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33648 divided by 1325?\nAnswer: 33648\/1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, j: 2, b: 1, x: 3, c: 4}. Give prob of picking 1 j and 1 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 63, 239, 525, 921, 1427?\n\"Answer: 55*o**2 + 11*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o - 28*o - 729 + 5*o + 3*o + 64.\nAnswer: -17*o - 665","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3*a - 28 = 0. Let s = 8 - a. Sort 3, 0, s in decreasing order.\nAnswer: 3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -23*t + 33. Let w(n) = -6*n + 9. Give -2*s(c) + 9*w(c).\nAnswer: -8*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-9) - (-2 - 3\/(-9)). Let y be (t\/6*3)\/((-3)\/(-6)). Solve 6 = y*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than -276?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -10220210000202 (base 3) to base 4\nAnswer: -13330103330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-153))\/5 - 326656\/118320?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.11 - -0.21. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 1:10 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 51 + -16. Suppose 0 = s - i - 10, 3*s - 3*i = -s + f. Let b = -5 + 1. Sort b, 2, s.\nAnswer: b, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -34 + -459?\nAnswer: -48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 126 = 6*m - 9*m, -3*d - 156 = -3*m. List the prime factors of 1 - 5 - (m - 864).\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 3 - 6 = y, 3*y = -4*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 9956 + 2654. Let g = -81695 + b. Round g to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 73. Let a be s(9). Let b be (-2 + (14 - a))*133. Do b and 533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 12\/13)\/(357\/182)\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -29 divided by 100442\nAnswer: -29\/100442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -1715 + 1721 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4877 + -361. List the prime factors of a.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 412 and 1236.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -2. Let q = -0.43 - -0.13. Sort n, q, 2 in increasing order.\nAnswer: n, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/y**(2\/9)*y*y))\/y*y*y**(-6\/23)\/y assuming y is positive.\nAnswer: y**(-629\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 > 17\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 575*x + 17295 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (230\/(-15))\/((-4)\/(-30)). Let u be (-4)\/(-10) - b\/25. Solve 0*m = -u*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {t: 1, q: 6, o: 3, r: 1, e: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33 or -81462?\nAnswer: -81462","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + 5*b**3\/3 - 3*b**2\/2 - 2*b + 2. Let j = 5 - 1. Let t be d(j). Calculate the greatest common factor of 6 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 - 53. Let d(c) = c**3 - c**2. Let n(x) = -2*x**3 - 3*x**2 - 2*x - 2. Let q(y) = -d(y) - n(y). Let p be q(-3). Solve 9 = -p*u - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -585, 479, 2249, 4725, 7907, 11795, 16389?\n\"Answer: 353*l**2 + 5*l - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*s + 583709 = 583114 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**2 + 519*v + 5*v**2 - 479*v + v - 2*v**2 - v + 0*v + 0*v + v**2 + v**2 + 4 - 4 + (2*v + 0 + 0)*(v - 3*v + 3*v).\nAnswer: 5*v**2 + 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) -2  (c) -31\/6  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -n + r - 0, -r = -3*n + 2. Suppose n*i = 19 + 41. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1203935 - 460741.\nAnswer: -1664676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h = 23*h - 28. Let c be 784\/343 - (-2)\/h*-2. Suppose 4*p = s + 24, -s = c*p - 0 - 6. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -4*k - 4*b + 11, -6*b + 24 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12005 divided by -1\nAnswer: -12005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**4\/6 + l**3\/3 + 2075*l**2. Let w(y) = 1. Determine -4*p(b) + 8*w(b).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**5\/13 + 534*d**4\/13 - 29454*d**3\/13 - 848486*d**2\/13 - 1606464*d\/13 - 787968\/13 = 0 for d.\nAnswer: -19, -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 212 = 3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 7*w. Let u(j) = 504345*j. Give o(u(n)).\nAnswer: 3530415*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5b8a + -146d?\nAnswer: 471b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 3*x**2 - 9*x - 4. Let s(k) = 3*k**3 + 8*k**2 + 26*k + 12. Determine -6*s(l) - 17*y(l).\nAnswer: -l**3 + 3*l**2 - 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 43*x**2 + 42*x + 27. Calculate the remainder when 140 is divided by r(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 3*k + 4*k + (3 + 0 - 1)*(4 - 4 + 2*k) + 363*k - 134*k + 134*k)*(2 - 2 - 2).\nAnswer: -736*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301121 - 12013?\nAnswer: -313200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 18*p**2 - 29*p - 129. Calculate o(8).\nAnswer: 791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 5*t + 40. Let o be (t - (-1 + 4)) + -2. Find the third derivative of -3*s**5 - 3*s**o + 5*s**5 + 11*s**2 - s**5 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 20, -5*a + f = 7 + 3. Let l(x) = -10*x**3 + 2*x + 1. Is 3 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04995540154 rounded to four dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18200 by 52.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 2)*(3*m - 4*m + 3*m)*(5 - 5 + 7*m) as l*m**2 + y*m + u and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(13\/5)*n)\/n)\/(n\/((n\/n**(-25))\/n)) assuming n is positive.\nAnswer: n**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 16366 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -146, 38783?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -255.7, -178, 0.5.\nAnswer: -255.7, -178, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13114767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 15738*m**3 + 731*m**2. Let s(y) = -129*y**3 - 6*y**2. Calculate -6*i(j) - 731*s(j).\nAnswer: -129*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 2\/7  (c) -1\/11  (d) 21179  (e) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 27, 18, 9, 0, -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13)\/((-156)\/(-20)))\/(8\/6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.142600483 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from eettgegg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.95611ml to litres.\nAnswer: 0.00295611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-9))\/(230\/69).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -84 + 270. Let h(u) = 20*u - 8. Let q be h(-6). Let o = b + q. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 119?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9 or 776?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of -d**2\/2 - 12. Let r(g) = g + 2. Let c(h) = -3*h - 5. Let v(s) = -2*c(s) - 5*r(s). What is p(v(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -675 = -235*j + 500 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62375, 126595, 190817, 255041, 319267, 383495?\nAnswer: 447725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 98108627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geggfdfgffgcg. Give prob of picking 1 d, 1 g, and 1 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and 4126980.8.\nAnswer: 4126981.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 34*v**2 + 23*v - 105. Suppose 13 = -5*j - 152. Is 11 a factor of x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s + 6 = 5*s. Let d = 0.07 + 0.08. Let m = -0.05 + d. Which is the closest to m?  (a) s  (b) -4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(192) - sqrt(192) - sqrt(192))**2 - (3 + (sqrt(192) + -2)**2 + sqrt(192)))*1 + 0.\nAnswer: -1357 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-21))\/((304\/(-200))\/(-19))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 15*r + 12. Let d be u(-15). Suppose -4*s - d = -2*l, 0*l + 15 = 5*l - 5*s. Solve l*i = 3*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 171*s + 128?\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2740545383.\nAnswer: 2740545383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -2\/13*v**3 + 1\/195*v**6 - 2\/65*v**5 + 0*v**2 + 1 - 11\/78*v**4 + 20*v. What is u in a(u) = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12358.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 69 - 49. Suppose 6*h - 2668 - 2060 = 0. Suppose -2*z + 6 = 0, 5*j + 4*z - h = 8*z. Calculate the highest common factor of f and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 133*s**2 + 9.\nAnswer: -133*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3*q + 9, 5*q = 2*n - 15. Suppose 68*j - 65*j - 237 = n. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2145 - -2?\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q**3 - 7*q**2 + 4*q - 2. Calculate the smallest common multiple of (9\/2)\/(3\/4) and w(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 3:26 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -80*n + 16727. Calculate k(207).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t - 5. Let p(s) = -3*s - 10. Suppose 0 = b + 2*a - 8, -5*b - 2*a = -a + 14. Give b*p(h) + 9*c(h).\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 141865440 divided by 6?\nAnswer: 23644240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/4, -36.\nAnswer: -36, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 704*u**3 + 958*u**2*y**3 + u*y + 444*u + 29*y**3 + 3*y**2 wrt u.\nAnswer: 4224*u + 1916*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5637*b - 2632*b + 8272*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 50\/79 - -1114\/237. Let f(w) be the first derivative of 0*w**2 - 2 - t*w**3 + 11*w. What is the first derivative of f(r) wrt r?\nAnswer: -32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11191 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of -3*o**5\/25 - 37*o**4\/20 + 25*o**3\/2 - 126*o**2\/5 + 1705*o. Let q(b) = 0. What is b?\nAnswer: -12, 1, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 105 + -98. Let m(n) = -n**3 + 8*n**2 - 5*n - 5. Let o be m(g). Are o and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*l)*(3 + 0 - 6) + (2 + 0 - 1)*(2*l + 0*l - 4*l - 4).\nAnswer: 4*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 236*d**2 + d + 28. Is 100 a factor of q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 1, 1.3, -0.1 in decreasing order.\nAnswer: 4, 1.3, 1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 25*l**2 - 120*l - 1650. Let z(w) be the second derivative of w**4\/12 + w**3\/3 - w**2\/2 + 135*w. Let f(h) = k(h) - 30*z(h). Factor f(u).\nAnswer: -5*(u + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -18)*(-13 - -25). What is the highest common factor of 72 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**3 + 8*g**2 - 12*g - 4. Let d be i(-8). Is ((-4)\/2)\/((-8)\/d*-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*t + 107 - 403 = 118*t + 1261 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -50161, 0.4, -88?\nAnswer: -50161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 6*m - 1. Let i(f) = -f. Let n(a) = 3*a + 1. Let c = -12 - -8. Let z = -6 - c. Let v be n(z). Give v*i(w) - g(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -1, 106735996?\nAnswer: 106735996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.31 + 0.09. Which is the closest to -1?  (a) -0.5  (b) k  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4 = m, 5*q - 14 = -2*m + 4*m. Let w be (9\/6 - 2)\/((-9)\/72). Solve -4*f = 5*s - q, 0 = -w*f - s - s - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2533, 0.12, 12 in ascending order.\nAnswer: -2533, 0.12, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 - 480*b - 475.\nAnswer: -5*(b + 1)*(b + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.102 + 35.698. Let o = r - 36. Let s = -2 - -2.1. Which is the biggest value?  (a) 2\/23  (b) o  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 81 + -76. Let t(g) = 3*g**2 + g - 1. Let l(k) = -2*k**2 - k. Give v*l(y) + 3*t(y).\nAnswer: -y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - -541?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 237*j**5 + 40*j - 279*j**5 + 352*j**5 + 387*j**5 + 186*j wrt j?\nAnswer: 13940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k**2\/2 - 5215*k\/2 - 2610 = 0.\nAnswer: -1, 1044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (11 - (10 + 2 + -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 3*n. Let f(j) = -48 + 48 + 459*j - 439*j. Give -4*f(u) + 30*t(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4358028163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide (12 + -11 + -876)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 45*z + 10. Let y(w) = -3*w - 1. Let f(v) = d(v) + 10*y(v). Let g(l) = l**2. Give g(f(c)).\nAnswer: 225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12343 - -12661. Solve -s*r - 3 = -321*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 21*x - 52 = 16*x - 61, -x = 3*j + j - 27 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16140455 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22 + 7\/((-35)\/(-10)). Let j be (-8)\/20 + u*10\/225. Let z = -4.4 - 0.6. Which is the closest to -0.2?  (a) 2  (b) z  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/(-75)*-5*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 3*n - 21, -y + 3 = -2*y + 4*n. Let c(g) = 2*g**2 - 8*g + 8. Let z be c(y). Calculate the highest common factor of 162 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -80 + 92. Let j be 9\/2 + 30\/u. Let s(y) = 3*y + 54. List the prime factors of s(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 62838 or -0.03?\nAnswer: 62838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 20. Let m be 1\/(k\/(-9)) - -7. Solve u - m = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 8:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - 1 - 2\/(-1). Suppose 0*x + 3*x = -m*v + 185, -5*x = 2*v - 285. Let t = -33 + x. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 1377*x + 21. Let a(u) = -8*u + 3. What is -14*a(j) + 2*z(j)?\nAnswer: 2866*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwqwppqbbqwww. What is prob of sequence pqp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -23513, -47014, -70517, -94022, -117529, -141038?\n\"Answer: -q**2 - 23498*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 818, 4211, 9858, 17753, 27890, 40263, 54866?\n\"Answer: -j**3 + 1133*j**2 + j - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w - 2. Let s be (2 - -2) + (2 - (5 - 1)). Let q = -4 + 5. Let u(x) = -x. Determine q*a(m) + s*u(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 2*h - 157 = -3*t, 0 = -t - 5*h + 74. Suppose 4*k - t = -6*b + 3*b, 2*b = 4*k + 26. Suppose -2*c - 8*c = -50. Solve 2*o - c*o = -b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 276908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(88) + sqrt(88))*-6)\/(-5*sqrt(288)*2).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v\/v**(-2\/7))))**(1\/33))**2\/((v**(-2))**(-16))**(-17) assuming v is positive.\nAnswer: v**(41894\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*b = -32*b - 107757 - 22219. List the prime factors of b.\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4*s + 5512, 28*i - s = 23*i + 13824. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2 = 0, -2*l + 25 = -6*p + 7*p. Solve o = 3*a + l, -o + 5 = -2*a - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 116b - b?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*q + 36*q - 117*q + 41*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m**2 - 7*m - 1. Let o be u(-6). Let y = 235 + o. Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.078 + 34.078. Let g = -33.987 + x. Round g to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1810 * -4.\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + 4*g, 5*g - 6 = 3*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4060\/3 or -2161?\nAnswer: 4060\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/(-35)*(-35)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 4939\/66*6 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4*x = 1, -2*x + 1 = -2*v + 3. Suppose v*s - 2*j + 38 = 7*s, -3*s - j = -28. Let d = 51 - s. What is the highest common factor of 28 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -4*m + 3*k + 6, 0 = -k + 3. Let p be m\/(-2 - 0 - 0). Which is the third smallest value?  (a) -3\/7  (b) 3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 - -36. Let d(r) = -r**3 + 15*r**2 - 2*r - 3. Let s be d(15). Let j = 45 + s. What is the highest common factor of j and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ojltoljololoo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 + -23. Let i be ((-6)\/3 - -65)*g. Let p = -12 + i. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47*n**2*y**2 + 106250*n**2*y - 347878543*n**2 with respect to y.\nAnswer: -94*n**2*y + 106250*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.03+-2792149\nAnswer: -2792148.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**6\/120 + 2*s**5\/15 + s**4\/4 - s**3 + 10*s**2. Give k(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6822 and 477258024?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1804*s**3 + 10859 - 10859)*(-1 - 1 + 0) - 5 - 3*s**3 + 5 as n*s**3 + a*s + z + j*s**2 and give n.\nAnswer: -3611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*q + 10269 + 10266 + 10270 + 10269 - 41073.\nAnswer: -51*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 14 = -19. Solve 4 = 35*r - w*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 12 = 0, 0*w - 3*w + 25 = 2*b. Solve -b = -4*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 * 193.\nAnswer: 7.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -g - 92, -5*g + 1889 - 489 = 26*r + 21*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 573 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 2) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/4)\/((-2)\/(8\/(-3))). Let q = 1 + u. What are the prime factors of (q - -99) + (-40)\/(-20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -9*i**4 + 39*i**3 - 137*i**2 + 31*i + 241. Let y(f) = -28*f**4 + 116*f**3 - 412*f**2 + 92*f + 728. Let t(n) = -16*s(n) + 5*y(n). Factor t(g).\nAnswer: 4*(g - 6)*(g - 3)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 214 - (-2 - 0)*1. Let j = z - 1946\/9. Let h(y) = -y**3 - y**2 + y + 2. Let r be h(-2). Which is the second smallest value?  (a) r  (b) -3\/7  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20*h**3*w - 51879*h**3 - 5*h**2 + 7*h*w**2 - 1512*h*w - 6 wrt w?\nAnswer: 20*h**3 + 14*h*w - 1512*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 17*c - 2. Suppose 0 = 5*v + p + 168 - 10, -2*v = -3*p + 70. Let r(f) = f**3 + 32*f**2 + f + 33. Let h be r(v). What is z(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/30*76176\/11109*(-6)\/(-8).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14147910 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 2:54 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from nnknrxdvrkxnxxn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-91)\/637)\/(3\/(-90)). Which is greater: 5\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 5) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1474 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2. Let u be -3 + 16*(-2)\/(-4). Let s(i) = u + 3*i**2 - 4*i**2 - 5. Calculate o(s(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -231100332214?\nAnswer: -231100332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -342*a + 307 wrt a?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (64\/112)\/(-9*8\/12)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 0. Let z(q) = 2*q + 3. Let w be z(b). Let j(m) = -12 - m + w - 1 + 4. Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a micrometer in nanometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = 3*w + 41 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/22878 and -49\/14514.\nAnswer: 1349802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 90769 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 - p**2 - p + 3. Let b be 3 + 12\/((-12)\/3). Calculate f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16068 divided by 1236.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -210110121 (base 3) to base 16\nAnswer: -3d21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + h + 6, 2*h = -4*d - h + 22. Suppose -4*m - 10 + 38 = -d*r, 0 = -m - 2*r + 13. What is the least common multiple of 4 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b163 - 3?\nAnswer: b160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*b*f**3*r - 3*b*f + 2*b*r + 97*b + 4*r wrt f.\nAnswer: 15*b*f**2*r - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5804081964 to the power of 1\/3, to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 1a4ac5a?\nAnswer: 1a4ac5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l. Let q(b) = -76*b**2. Calculate q(i(t)).\nAnswer: -684*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87427, -87444, -87461, -87478, -87495, -87512?\nAnswer: -87529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2071866 divided by -345311?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3.2, 5, 73, 8, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -9. Let o be ((-2)\/2)\/(-1) + j. Differentiate 0 + 4*v**2 + o - 6*v**2 - 1 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138*-75.\nAnswer: 10350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-3\/5)*((z\/(z\/z**(-1\/2)))\/z)\/z*z*((z*(z*z*z**(2\/3)\/z)\/z*z)\/z)**(6\/23) assuming z is positive.\nAnswer: z**(-383\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17673.\nAnswer: 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 229  (b) -1  (c) -5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1649035.\nAnswer: 5, 271, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-49)\/(-14))\/((-3)\/(-9)). Which is smaller: 12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 5. Suppose 3 = 5*b - 3*b - 3*r, -5*b + s*r + 4 = 0. Which is bigger: b or -1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -33*x**3 + 3*x**2 - 2*x + 3. Let d(r) = -98*r**3 + 8*r**2 - 5*r + 8. Give -3*d(a) + 8*g(a).\nAnswer: 30*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -50\/33 - -719\/627. Let m = 85\/76 + o. Which is the biggest value?  (a) 9  (b) 0.1  (c) 2\/3  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 5. Let m = -4 - 0. Determine x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -178511 + 178511 - 175*v**2 + v.\nAnswer: -175*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5765 + -5764.99993258. Round i to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27*(-2)\/252*-28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of 311*v**4\/6 + 167*v**2\/2 + 424*v. Differentiate l(z) with respect to z.\nAnswer: 1244*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*(f\/f**(8\/13)*f)\/f*f*f**(-19\/5) assuming f is positive.\nAnswer: f**(-92\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 1001\nAnswer: 17\/1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -21934962 divided by -378189?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*l + 109 - 789. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 72 = -6*l. Suppose -29*g - l = -32*g. What is the highest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -27337, 5, 0, 6.\nAnswer: -27337, -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 15 and 5410.\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 1. Let a(h) = -3*h**2 - 84*h + 48. Let c(p) = a(p) - 12*y(p). Factor c(g).\nAnswer: -3*(g + 6)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8\/(-2) - ((-21 - -6) + -9655) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 853 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**3\/5 + 64*d**2\/5 - 438*d\/5 - 504\/5 = 0. What is d?\nAnswer: -1, 12, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + 4*b + 2. Let g be a(-4). Suppose -l - 1 = 0, -6*l + 48 = -5*t - 4*l. Let m = -9 - t. Sort g, -2, m in increasing order.\nAnswer: -2, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l + 38. What is o(-10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) -1  (b) -0.2  (c) -282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 72 + 154 + 4211*d - 226 in the form p + f*d and give f.\nAnswer: 4211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**30\/(b*((b*b\/(b\/(b*b**(-8\/5)*b)))\/b)\/b*b)*(b**43)**(-25) assuming b is positive.\nAnswer: b**(-5232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*u**2 - 2 - 2*u**2 + 7*u**3 - 2*u**2 wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s - 3*s + 2*s)*(-4 - 2*s**2 + 4)*((2 - 3 - 2)*(-s + 2*s + 0*s) + 1 - 7*s - 1).\nAnswer: 80*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/12 - (-1)\/(-4). Let r(z) be the second derivative of z**5\/20 - z**4\/2 + z**3\/3 + z**2 + 2*z. Let m(s) = -s**2. Calculate h*r(p) + 6*m(p).\nAnswer: -p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 2*w**2 - w + 1. Let u be 16*(-3)\/(-2)*-2. Let z = u - -33. Let c be (-20)\/(-25)*z\/(-6). What is g(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -11\/3  (b) -5.28  (c) 4  (d) 0.2  (e) -87  (f) 0.5  (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 210  (b) 64  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/875 and 97\/4.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-13)*(-2)\/4. What is the second smallest value in -5, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**4\/5 + 2283*i**3\/5 - 20668*i**2\/5 - 18276*i + 137520 = 0.\nAnswer: -2292, -6, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 363 minutes before 2:08 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 + 139278776*g + 278557568.\nAnswer: -4*(g - 34819696)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3.64*-12.9219\nAnswer: 47.035716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 4:59 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1727766 and 1727766.\nAnswer: 1727766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100 - -1001101001010001111100?\nAnswer: 1001101001010001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.87 + 0.13. Let h = 4.6958 + -4.6958. Which is the nearest to h?  (a) m  (b) -0.18  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((-30)\/(-4) - 4). Which is smaller: 0.12 or i?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s, 1 o, and 1 r when four letters picked without replacement from reggesrgrgsggeooro?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2913 or -2908?\nAnswer: -2913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10519 + 5258 - 565*g**2 + g + 5260)*(-g + 3 - 3) - g**3 + 4*g**3 - g**3 in the form q + w*g**2 + v*g + u*g**3 and give u.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-9)*-3)\/(-1). Let q = -492\/11 + 4623\/110. Let b = q - -209\/70. What is the biggest value in b, f, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 7*a - 6. Let j be i(-8). Suppose -10 = -2*t + 16. Let n = 17 - t. Solve 3*f - 2*f = -j*v, -f = n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -3*i + 30. Suppose -4*o + 2*b + 1376 = 0, -i*o + 5*b - 1390 = -30*o. List the prime factors of o.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.96, -0.3, -0.02, -3, 1, -1 in ascending order.\nAnswer: -3, -2.96, -1, -0.3, -0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21564675 divided by 7188225.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 230 = -218 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-20))\/(189\/474). Let v = y + 8\/45. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**4\/4 + 7*u**3\/3 - u**2 - u + 3. Let x be i(-7). What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-8)\/h*h**(-3))\/((h\/((h*h**(-1\/4)\/h*h)\/h))\/h)**22)**7 assuming h is positive.\nAnswer: h**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1309092778*w**3 - 710*w - 147496 wrt w?\nAnswer: -7854556668*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of -22*r - 2\/45*r**5 - 2*r**2 - 1\/60*r**6 + 1\/315*r**7 + 0*r**4 + 0*r**3 + 0. Factor a(h).\nAnswer: 2*h**2*(h - 4)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 224045 or 0?\nAnswer: 224045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 2800 - 322 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 2*u + 3 - 29 = 0, -4*c - u - 21 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 smaller than 68242\/449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -74124149 divided by -3901271\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -33440*f - 304859*f + 2578390*f. Let q be z(-1). Let i = q + 340091. What is i rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.22242 rounded to 0 dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 10. Which is the nearest to 1\/2?  (a) 2  (b) i  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 2\/3, 3, -7\/41?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301*p + 74*p - 31 = -2*t - 230*p, -2*p - p = -15*t + 105 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -13.5, 2\/5, -5, 1\/5, -15, -0.5 in decreasing order.\nAnswer: 2\/5, 1\/5, -0.5, -5, -13.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 12:14 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-24 + -2)*136\/(-32)*(-52)\/442\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -76305, -305244, -686809, -1221000, -1907817, -2747260, -3739329?\nAnswer: -4884024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (146\/(-8))\/(79*(-88)\/(-27808))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1552, 12323, 41560, 98491, 192344, 332347, 527728, 787715?\n\"Answer: 1538*b**3 + 5*b**2 - 10*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(156)*-3 - sqrt(156)) + sqrt(156) - sqrt(156)))\/sqrt(12).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/5)\/(2\/205) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-762)\/(-2)*(-44)\/(-66). Suppose -y - 66 = -10*i. Let l(n) = -n**2 + n + 64. Let w be l(0). Calculate the greatest common factor of i and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 92 = 20. List the prime factors of 457\/4 - 6\/f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -71, -4, -3, 0, -1 in descending order.\nAnswer: 0, -1, -3, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -45*s - 82. What is v(-4)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 50*k + 47*k + 49*k - 154*k - 15. Calculate r(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75 or 160?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1064 + -1062. Solve 0 = 4*o + n*h, -5 = o - 4*o + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + p**2 - p - 1. Let d(g) = 3*g**3 - 26*g**2 + g + 1. Let b(q) = d(q) + 5*f(q). What is the remainder when b(-11) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - 9*o**2 + 4*o - 7. Let g(w) = w**3 - w + 1. Let c(v) = d(v) + 2*g(v). Is c(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 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: Suppose 130 = -4*c - c. Let k = c - -12. Let h be (-8)\/(-6) + k\/(-21). Solve 4*l + 12 = 0, -h*l - 21 = -2*o + 3*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35 in -5.2, -2, 8\/21?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -565 (base 8) to base 4\nAnswer: -11311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -46 + 137. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 plus 0.09?\nAnswer: 209.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4 = -0. Find the first derivative of -q + 3*k**3 - 2 - 4*k**3 - 2 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence doob when four letters picked without replacement from {n: 4, w: 7, o: 2, b: 1, d: 1, i: 3}.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 0*n = -3*t + 40, -n - 4 = -t. Suppose -32 = 4*u - t*u. Suppose v - 9 = -p, 2*p = p - 4*v + 24. What is the lowest common multiple of u and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-63)\/(-12)*22\/77)\/((-1)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -49, -84, -133, -202, -297, -424?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 224*d - 26*d**2 + 24*d**2 - 223*d + d**3 as x*d**3 + t*d**2 + l + v*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/210 and -11\/108780?\nAnswer: 108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -33?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 79 + 43 + 1280*v**2 - 1291*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 - 61. Let i = -20 - y. Let m = 71 + -70.7. Which is the smallest value?  (a) i  (b) 1\/28  (c) m  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-441)\/(-56)*-2)\/(((-25)\/375)\/((-32)\/120))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrwrrrrrjfwwrrrrwfr. Give prob of picking 1 f, 2 w, and 1 r.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y + 70. Let t(w) = 47 - 200*w + 50*w + 149*w. What is 7*t(m) - 5*z(m)?\nAnswer: -2*m - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 381 + -356. Calculate the lowest common multiple of 80 and l.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.02 and -4327.\nAnswer: -86.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 - 5 - 10 - 13*u + 0. Suppose s + 0*s = -5*g + 72, -10 = -g + 2*s. Let a be c(g). Put -5, a, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 5*o**4\/12 - o**3\/2 - 2*o**2 + o. Let r be u(-4). Let h = r + -57. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1181554 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**2*p*x**3 + 79*g**2 + 7*g*p*x**2 - g*x**2 + 27*g*x - p*x**2 - 4281166*x**5 + 13*x**2 wrt x.\nAnswer: 6*g**2*p - 256869960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -514.0869 + 1.1869. Let y = g - -513. Which is bigger: -6\/61 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*o - 19*o - o**3 - 10*o**4 + 192 - 197 in the form f + i*o**4 + t*o + w*o**2 + y*o**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -703 + 692. Let f(l) = -2*l + 4 + 0*l - 25. Let i be f(j). Which is the biggest value?  (a) i  (b) 0  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -7*n**6\/120 + n**4\/6 - 2*n**3\/3 + 2*n**2. Let j(u) = -19*u**3 - 6 + 15*u - 8*u**3 - 4 - 5. Give 4*j(t) - 15*y(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 171.335 millilitres in litres?\nAnswer: 0.171335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -367 + 652. What is the highest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 588 + 2056 - 1002 - 2213*h + 419 wrt h?\nAnswer: -2213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 42100338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 22 = r, z + 2*r - 3 = -4. Suppose -66 - 87 = -4*h - z*s, 2*s - 150 = -4*h. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.4 + -1.1. Let x = -1.7 - d. Let n = 0 - 2. What is the closest to x in -0.2, n, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.0613, 4\/9, 90?\nAnswer: -0.0613","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 93501.79 or 0.02?\nAnswer: 93501.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 2*w - 4, 0*i + 2*i - 8 = -w. Suppose -523 = -i*k + d + 1410, -4*k + 4*d + 3864 = 0. List the prime factors of k.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 26\/92639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 2 = 2*r - 3*r, 10 = 4*w - 5*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243545 = -56*t + 238617 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3706 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2750909 divided by -1\nAnswer: -2750909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -11*t**2 - 3*t. Let v(f) = 200*f**2. Calculate u(v(g)).\nAnswer: -440000*g**4 - 600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*h - 464 = -24*h. Suppose 2*o + a = 62, 2*o + 5*a = h + 4. What is the remainder when o is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -3*a**4\/4 - 7*a**3\/6 + 2*a. What is the second derivative of k(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -133, -182, -267, -394, -569, -798, -1087?\n\"Answer: -g**3 - 12*g**2 - 6*g - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21460, -21409, -21296, -21121, -20884, -20585, -20224?\nAnswer: -19801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 8:04 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 4*b - 1. Suppose 4*u - 6 = 10. Let k be g(u). Is k + 567 + (-4 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 - 156*m.\nAnswer: -3*m*(m + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o**5\/7 - 54*o**4 - 3070*o**3\/7 - 6948*o**2\/7 - 27*o\/7 + 10422\/7 = 0. Calculate o.\nAnswer: -3, 1, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1434*l + 1435*l + 8 = -1 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**8\/84 + 166*n**7\/105 + 73*n**6\/5 - 1822*n**5\/15 + 1993*n**4\/6 - 462*n**3 - 9510*n**2. Factor z(q).\nAnswer: 4*(q - 1)**3*(q + 9)*(q + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/3 - (-15)\/(-9). Let t = 1.8 - 1.5. Sort 0, t, w in decreasing order.\nAnswer: t, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 6:03 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40.2592364 - 40.26. Round w to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1911475993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7560.9 months in decades?\nAnswer: 63.0075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-38))\/(-10*(-51)\/(-255))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14d + 6?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 4:44 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176890 - 5.\nAnswer: 176885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2150 - -15588\/7. Let v = d + -77. Is -1 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-16)\/(-2))\/(-3*(-4)\/(-12)). Is 16\/f*(-1727)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -90.2 + 61.2. Let s = 7.4 - -23.6. Let g = s + k. Which is the smallest value?  (a) g  (b) -0.01  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -48, -69, -90, -111?\n\"Answer: -21*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 33, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, -1.64, 0.11 in descending order.\nAnswer: 0.11, -1.64, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 - 1)*(172 + 29*d**2 - 172) in the form a + s*d + v*d**2 and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 2 + 2)*(0 + 1 - 4)*(8*g - 7*g - 19*g - 2).\nAnswer: 54*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/1328657 and -71\/483148.\nAnswer: 5314628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/5))**(-15) assuming g is positive.\nAnswer: g**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.369449mg to kilograms.\nAnswer: 0.000007369449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/8)\/((-3)\/3*-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3 - 13. Let v(o) = -2*o + k*o + 3*o - 2*o. Let j(r) be the third derivative of -13*r**5\/20 - 141*r**2. Determine j(v(i)).\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 222419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -3*d**5\/5 + 15*d - 17. Differentiate v(x) wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 334 >= 13233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -621*r - 690*r - 11429 = 6925 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 5*z**4 - 410*z**3 + 6585*z**2 + 75600*z + 121500 = 0.\nAnswer: -6, -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 626*d**2 + 2*d**4 + 6593 - 2640*d - 8480 + 5759 - 60*d**3 = 0. What is d?\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) - -4*(sqrt(90) - sqrt(90)*1 - sqrt(90))))\/(6*sqrt(8)\/sqrt(4)))\/(-2*(-3*5*sqrt(18))\/sqrt(2)).\nAnswer: sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*c**3 - 2462*c + 74*c + 73*c**3.\nAnswer: 92*c**3 - 2388*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 65155, 130528, 195897, 261256, 326599?\n\"Answer: -v**3 + 4*v**2 + 65368*v - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 9. Let s(m) = m**3 - 3*m**2 - 3*m - 3. Let y be s(x). Let i be (-2)\/(-10) + y\/(-5). Solve w + 0*n + 3*n + 8 = i, -2*w + 11 = -3*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (1 - -4 - 7 - (27 + -33)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18761319 is divided by 199.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 105 and -3?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*n - 3*z, 3*n + z = -z + 4. Factor 26\/11*o**n - 24\/11*o - 12\/11*o**3 + 2\/11*o**4 + 8\/11.\nAnswer: 2*(o - 2)**2*(o - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/24 and -17\/13728.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 + 2*d**2 + 2*d**4 + (18 + 27 - 36)*(-1685*d - 6*d**4 + 1685*d) - 5*d - d**4 + 3*d - d**4.\nAnswer: -54*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n*u**4 + 2*n*u**2 - 7*n*u - 4*u**3 + 6*u**2 wrt u.\nAnswer: -24*n*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**4*d*d*d\/d**(1\/6)*d**(-4\/5)*d*d**(2\/7) assuming d is positive.\nAnswer: d**(67\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i**4 - 140*i**4 - 103*i**4 + (-7*i**4 + 3*i**4 + 3*i**4)*(3 - 4 + 0) to the form b*i**2 + q*i**3 + d + s*i**4 + j*i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1842750 and 11583?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwwk when four letters picked without replacement from ssysssdwkykdsswwyysw?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13800)\/(-253))\/20*(-957)\/(-1131).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 54 = 42. What is the units digit of (k\/9)\/((-6)\/(-3411))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(5\/2)\/b)**(-7) assuming b is positive.\nAnswer: b**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3198976\/(-6816))\/((-16)\/3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100110011 (base 2) in base 14?\nAnswer: 108b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 738652273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, -2, -1, 4 in decreasing order.\nAnswer: 4, -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2 = 8. Suppose 4*g + z + 3*z - 56 = 0, 4*g = -r*z + 56. Suppose 2*q + g = 88. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q - 6*q - 27 + 25. Let m(w) = 1. Let l(h) = 6*m(h) + y(h). Differentiate l(j) wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -2. What is the least common multiple of t and 2\/6 + (-2)\/90*-5385?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from gggpipp.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 2*n**2 - 3*n - 4. Let g be z(3). Let q(i) = i**2 + 5*i + 6. Let b be q(g). Solve b*j + 6 = -2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 746975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5*p = l + 5, 0 = l + 2*p - 2. Solve l*a - 3*s + 6 = a, -a - 18 = -5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 8*p**2 + 3. Suppose 0 = -5*a + 4*a - 4. Let u be x(a). Suppose -2*t + u = 19. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*w - 25. Let b = -3.2 - -3. What is the nearest to w in 2, b, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 32 = -0*v. Let k(g) = -g**3 - 9*g**2 - 7*g + 11. Let u be k(v). Differentiate u*q + 0*q + 6*q**4 - 3 - 3*q wrt q.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**5 + 0*g**5 + 4*g**5 + (-3 - 2 + 2)*(3*g**5 + 3*g**5 - 4*g**5) + 3*g**5 + 2*g**5 - 6*g**5 - 4*g**3 - 2*g**5 + 4*g**3.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*o - 37*o = 78*o - 1977 - 6755 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t. Let s be 202\/(-14) - (3 - 120\/35). Let a(v) = -6*v - 2. Determine s*p(j) - 2*a(j).\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 5*y + 6. Let u = 115 + -117. Let h be i(u). Solve 5*r = 5*o + 5, -4*r + o = -h*r - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/6 + 341*z\/6 - 969.\nAnswer: -(z - 323)*(z - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from reejeejr. Give prob of picking 1 e and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 9*h - 12 = 0. Let w be (-4)\/8*(-8 - -2). Sort w, h, -4, 4 in decreasing order.\nAnswer: 4, w, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*l**3 - 14379 - 49*l + 14379 + 49*l.\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -149*l + l**2 - 151*l + 2 + 301*l. Let f be a(0). Solve -5*o = -f*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sszzgpszxxsus. What is prob of sequence ssg?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*s**4*u + 2*s**3*u**2 + 330*s**2 + 363*s*u + 8*s + 2*u**2 wrt s?\nAnswer: 36*s**2*u + 12*s*u**2 + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/864 and 67\/68688?\nAnswer: 137376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -25*s**2 - 1377*s + 47240. What is n(-79)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 345 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1025 + 1047.915. Let y = k + -23. Round y to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 100 = -5*m, 2*x - 192 = -5*m - 7. Suppose -6*o = -2*o - 68. Calculate the greatest common factor of o and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 7 - 1)*(2*a**2 - 5*a**2 + 4*a**2)*(-55*a + 134*a + 71*a).\nAnswer: -1650*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 65 + 62 = 0. Suppose q*d + 141 - 546 = -5*m, -4*m + 351 = -3*d. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**5\/3 - 1216*b**4\/3 + 21146*b**3\/3 - 65000*b**2\/3 = 0. What is b?\nAnswer: -625, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3203560*o**2 - 29432*o - 338\/5.\nAnswer: -2*(2830*o + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 55340 = 8*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -721*r**3 + 417*r**3 + 584*r**3.\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 149 = -3*j, -20*t - 5*j = -21*t + 21. Which is the nearest to t?  (a) -4  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 15*j = 10*j - 43194, -5*j = -5*p + 53985. List the prime factors of p.\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t. Let k(z) = -12*z**2. Determine k(n(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -913?  (a) -0.2  (b) 0  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51865554 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 80, 168, 274, 398?\n\"Answer: 9*k**2 + 61*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 719*q - 8718 - 8376 = 18137. Suppose -2*b - 10 = 0, -2*x - 19 = b - 74. What is the remainder when q is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -h**5\/15 - 7*h**4\/3 + 80*h**3 + 692*h**2. Factor q(f).\nAnswer: -4*(f - 6)*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 24*z + 85. Let s be j(-3). Solve -2*u - 17 = 5*w + u, -16 = 3*w - s*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 74*x + 6898. Determine g(128).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 AM and 7:25 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z + 5*z - 3*w, 3*z + 5*w = 0. Let y be (-6 - (z - 4))*-6. Solve -3*s - 4*u + 14 = -0*s, 0 = -4*s - 2*u + y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14.5783 - 0.0657. Let q = -14.5 - l. What is q rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 3, -3\/28, -0.6, 2, -14.2 in decreasing order.\nAnswer: 14, 3, 2, -3\/28, -0.6, -14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -7*g**2 + 1\/60*g**6 + 0*g - 1\/30*g**5 - 1\/12*g**4 + 0 + 1\/3*g**3. Let w(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*h**4 + 1032*h + 718*h - 842*h + 192*h**4 + 722*h wrt h?\nAnswer: 2088*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4513560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3800 - -3802. Solve -n - 2*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28 (base 16) to base 7.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -25*t. Let d(s) = 6*s**2. Give d(a(r)).\nAnswer: 3750*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127965519 is divided by 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9.498992m?\nAnswer: 949.8992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -41 - (3 + -3 + -2). Let b = -40 - h. Let j(t) be the third derivative of t**6\/120 - t**4\/24 - t**2. Calculate j(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnzznzz. What is prob of picking 3 n and 1 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49.15173 nanometers to micrometers.\nAnswer: 0.04915173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 89 + -87. Suppose -a*z = 9*z + 7*z. Suppose s = -6*s - z*s. Solve s = 2*d - 1 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110317 and 6757174?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 19*d - 1. Let i(v) = 321*v - 3*v**2 - 321*v. Calculate c(i(h)).\nAnswer: -57*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*p - 6*p = 9350. Calculate the remainder when p is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -11 + 6 - (8 + -9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 136242, 30, -4?\nAnswer: 136242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 490.27 - 527.203. Let n = -0.067 + z. Let h = 37 + n. Which is the closest to h?  (a) 0.2  (b) -7  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) 0.4  (c) 0.5  (d) -103  (e) -1\/4  (f) -4  (g) 13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 165*x**3 - 2*x**2 + 3*x - 2. Let n be ((-7)\/3 - -2)\/((-1)\/3). List the prime factors of y(n).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-5)*u*u**(1\/5)*u*u**(-7)*u\/u**(-2) assuming u is positive.\nAnswer: u**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41 + -31. Suppose -d = c - 12. Solve 3*k = -c*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, u: 3}. What is prob of picking 1 w and 3 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2 + 6832*d + 27344.\nAnswer: -(d - 6836)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 - 40?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45370*a**3*h**3 + 15*a**3*h + 16120*a*h**3 + a*h + 7*a - 2*h**2 + h wrt a.\nAnswer: 272220*a*h**3 + 90*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/(-4)*1980\/1485. Solve -3*a - 54 + 52 = -2*g, h*g - a + 11 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-32) + (-21)\/12. Let p be (-21)\/(-9) + 2\/3. Suppose z - 2*z + p = 0. Put z, 4, v in descending order.\nAnswer: 4, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 26*h - 121. Let s be k(6). Let o be (-15)\/18*(-2)\/(-10). What is the biggest value in o, -2\/3, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**4 - 717*n**3 - 3648*n**2 - 2928*n = 0.\nAnswer: -4, -1, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*u - 1761 = 3483. Let f = -229 + u. Let w(m) = 6*m + 1. Calculate w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + -1)\/(12\/(-18)). Suppose 0 = 10*p - 297 + 257. Suppose 45 = 2*y + t*f, -p*f + 32 + 52 = 4*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(8\/7))**(-1\/34)\/((a**(-3\/4)\/a)\/a)**(-2\/155) assuming a is positive.\nAnswer: a**(-2549\/36890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-15))\/(647350\/12210 + -53).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + j + 2 - 3 - 5*j.\nAnswer: -4*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - 2\/4*(-6)\/4*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + 0 + (37 + -13 - 17) + (-14 - -15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 142 = 5*n, -4*n + 48 = -2*n - 3*k. Suppose 3*l + 60 = n. Let s(v) = v**3 + 10*v**2 - v - 14. What is s(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 - n + 1. Let x(a) = 3*a**2 - 10*a + 2. Determine 2*u(r) - x(r).\nAnswer: r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -49535 divided by 3?\nAnswer: -49535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 1 - 1) + 2. Suppose 3*m = -11 - u. Let c(r) = -11*r**3 - 9*r - 9. Let b = 3 - 12. Let l(w) = 5*w**3 + 4*w + 4. What is b*l(d) + m*c(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 1, 2*l + 2*l + 5*r - 71 = 0. Suppose 2*n = 3*n - l. Solve -3*h + 2*p - 4 = -4*h, -3*p + n = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1524\/(-60))\/(28\/30 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 43834959 and 134?\nAnswer: 43834825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4*j**3 + 72*j**2 + 432*j + 864 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 62 or -1.65?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 = -11*w + 332. Suppose -w*n + 0*v + 3*v = 6, 2*v - 4 = 5*n. Put -135, 5, 2, n in decreasing order.\nAnswer: 5, 2, n, -135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 228 - 157. Let w = -70.175 + l. Round w to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 169257 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*x + 25050 = 5*x. Calculate the greatest common factor of x and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {l: 5, x: 1, h: 1, g: 1, m: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-2)\/(-8*4)). Let x = z + -5. Let u = -5 + x. Solve u*w - 2*w = 3*g + 24, -w + 2*g = -11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 6 = g - j, 52 = 5*g - j. Suppose 3*h - 18 - 132 = 0. Suppose h*v = 45*v + 335. Calculate the remainder when v is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 43. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aoan when four letters picked without replacement from {e: 8, a: 2, n: 3, o: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 3*c**2 - 2*c. Let b be x(6). What is the tens digit of (b\/9)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - (-113976929)\/2)*2. Let p be 3\/4 - m\/28. Let c = p + 1770604. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/8*(-3)\/4. What is the smallest value in 5, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21 - -68. Let o(n) = 32*n - f*n + 41 + 16*n + 39*n. Is o(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 2:36 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1512 and 122558834.\nAnswer: 122560346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.7  (b) -2  (c) -0.3  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2564446\/17 less than 150851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 + 0)*(-9*b - 6*b**3 + 9*b) to a*b + r*b**2 + j + y*b**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1850b (base 14) to base 16.\nAnswer: -efaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -8514?\nAnswer: -8514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o + 10 + 12 - 6 - 3. Let d = -14 - -3. Calculate the remainder when 4 is divided by v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/6 - (-49)\/14. Let a be 12\/2 + 7\/(-7). Suppose 0 = q*s + 16, s = -a*r + 37 + 99. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 - -59.92. Let r = s - 60.019. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4*f - 30. Suppose -71 = -5*q - 4*w, 2*w = -f*q - 3*w + 75. Suppose q*o = 9*o + 2. Put -4, 4, o in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1581 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**4 + 384548*j**3 + 30721930*j**2.\nAnswer: 24*j + 2307288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2 - 1 + 9*d**2 + 9 - 1225100*d + 1225109*d + 1. Suppose 39*t - 40*t + 8 = 0. Let v(i) = -14*i**2 - 14*i - 17. Give t*j(s) + 5*v(s).\nAnswer: 2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 0.6, -1\/6 in ascending order.\nAnswer: -18, -1\/6, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5 - 7*h**2 + 0 - 6*h**3 + 5 + 5. Let v(u) = 9*u**3 + 11*u**2 - 8. Determine -5*v(o) - 8*y(o).\nAnswer: 3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.429 take away 559.002961?\nAnswer: -559.431961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4 = h - 0*o, -5*h - o = 18. Let l = 7 + -10. Let f = l - h. Solve 2*z + 5 = -f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.09, 57334\/17, 4, -3, -0.05, -1\/4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 1:23 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1401, 2770, 4135, 5496, 6853, 8206, 9555?\nAnswer: 10900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26762 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*((a**(-8)\/a)\/a)\/a*a*a**8\/a)**2)**(2\/19) assuming a is positive.\nAnswer: a**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -15, -8, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 32110 smaller than 32126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (13\/(-3) + 2)*-3. Let w = 1 - -4. Suppose 25 = -o - w*t, 4*t + 13 + g = 0. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 3*c + c - 12, -t + 4*c = 12. Suppose 5*j + 8 - 23 = t. What are the prime factors of 3*2 + j + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ubbur. What is prob of picking 2 u and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5232\/5 - -1046. Put -2.63, -5, o, -1\/2 in decreasing order.\nAnswer: o, -1\/2, -2.63, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 748, 2627, 6322, 12439?\nAnswer: 21584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4*u**2 - 28*u + 3. Let b be g(-7). Suppose -2*w = o + 4*o + 20, w = b*o + 12. Let d(i) = i**3 + 7. Give d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -0.1  (c) 1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -98*m**3*y**2 + 3*m**2*y**2 + 233*y**2 with respect to m.\nAnswer: -294*m**2*y**2 + 6*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.01  (b) -35  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1393153 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: Is 27157670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 2b?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**2*n - 29792737*b**2 + 5*b*n + 3630*n + 106 wrt b.\nAnswer: -4*n - 59585474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 926 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 13*h + 7. Determine u(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 4:13 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*9\/(-63) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2218 by -1109.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a + 2e1c2?\nAnswer: 2e1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 + 7*m + 1. Let y(z) = -3*z**2 + 8*z + 1. Let j(l) = 5*v(l) - 4*y(l). Let s be j(-2). Let w = 0 - -0.2. What is the nearest to 2 in 2\/9, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -35 + 107\/3. Factor 28\/3*v**3 - a - 1\/3*v + 29\/3*v**2.\nAnswer: (v + 1)*(4*v - 1)*(7*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 2:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 6:40 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.097075197 + -6164633339.097075197. Let w = t - -6164633213.00000049. Let d = 121 + w. Round d to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from pepw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32747 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 109 and 104804699.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -364, -1092, -2854, -6166, -11544?\nAnswer: -19504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15690 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202211 (base 7) to base 8.\nAnswer: -450767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**2 + 35*n. Let r(k) = 1 + 15*k**2 - 1 - 16*k**2. What is r(d(v))?\nAnswer: -4*v**4 - 140*v**3 - 1225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0.33  (b) -8  (c) 3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/32*(-4 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -10 + 4)*(-10)\/(120\/(-54)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9379 by -19820.\nAnswer: -9379\/19820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -91*o**5\/20 + o**4\/6 - o**2\/2 - o. Let q be n(-1). Suppose 5*r - q = 78. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 31*y. Let z(k) = -1503464*k - 1. Give z(d(p)).\nAnswer: -46607384*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 624 and 49860.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1087?  (a) -5  (b) -0.08  (c) -0.12  (d) -1  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/4868 + -272575\/160644. Let m = -18787\/15 - -1253. Calculate the common denominator of k and m.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -15*u + 123. Let t be l(8). Suppose -3*g - t*p + 348 = 0, 3*p - 469 = -5*g + g. What is the remainder when g is divided by 50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = -4*d + 120 - 140, d = 2*j + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21742 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 19*a - 109. Let v be s(-13). Let t = v + 513. What are the prime factors of t?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122875064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1330*w - 1325*w - 3*t - 11 = 0, 0 = 2*w + 2*t - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 16*a + 28. What is the remainder when l(-17) is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 13798025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00538321748 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 14, a: 1}. Give prob of sequence wa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**4\/7 + 156*j**3\/7 - 2043*j**2\/7 + 270*j = 0. Calculate j.\nAnswer: 0, 1, 21, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.43 less than 654343815?\nAnswer: 654343810.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 36, 2, -11, 1, -172, -3 in ascending order.\nAnswer: -172, -22, -11, -3, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z - 3. Let t be m(-5). Let g = -4 - t. What is the highest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.8, -1, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38 - -46. What are the prime factors of 356\/8 + (-12)\/g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1107003, -1107013, -1107023?\n\"Answer: -10*b - 1106993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 349451121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.19 - 4.19. Which is the nearest to 1?  (a) -0.17  (b) m  (c) 0.7  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + ((sqrt(171) + sqrt(171)*2)*6 + sqrt(171) - sqrt(171)))\/sqrt(9)*4.\nAnswer: 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 443903 is divided by 772.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -575 - -579. Let v(g) be the second derivative of 5*g - 1\/225*g**6 + 0*g**2 + 0*g**m + 0*g**3 + 0 + 1\/75*g**5. Let v(c) = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43339.4*14\nAnswer: 606751.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -3*x - 0*y + 4*y - 5*y + 58, 2*y = -4 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 991620100*k**4 + 3967236160*k**3 + 2977883484*k**2 + 2267856*k + 432 = 0.\nAnswer: -3, -1, -6\/15745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 11*z - 7. Let j be r(-8). Solve 0 = 5*l - 4*b - 5, l - 2*b - j = 2*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 486, 417, 312, 177, 18, -159?\n\"Answer: m**3 - 24*m**2 - 4*m + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 810 - 810 + 6*o**3 + 3*o - 2*o**2 to the form i*o + d*o**3 + n + t*o**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 206 + -202. Suppose 0*q = -l*q - 2*j + 6, 4*q + 5*j = 9. Which is bigger: 38\/21 or q?\nAnswer: 38\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b4e8 (base 15) in base 6?\nAnswer: 1523232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 0.3, 3, -1\/768, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/4, 17, -0.5, -13, -545, -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2331279\/1615 - -7218\/5. What is the common denominator of h and -73\/153?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360) + (sqrt(360)*-3*-4 - sqrt(360)) + sqrt(360) + sqrt(360))\/sqrt(12))\/((sqrt(2160)*3 - sqrt(2160))\/sqrt(10)) + -3.\nAnswer: -3 + 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/n**(1\/2))*n**(1\/13))\/(n**(4\/9)\/n)**41 assuming n is positive.\nAnswer: n**(5699\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -0*m - 3*m. Suppose m*k = -3*k + 335. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 8 = 7*a. Suppose 20 = 5*f - 0*h - 2*h, 0 = -3*f - h + 1. Determine i, given that -2*i**2 + a + i**f - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833)*1*3 - sqrt(833) - 4*(sqrt(833) + -2 + sqrt(833) + sqrt(833)))**2.\nAnswer: -1120*sqrt(17) + 83364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -8397409*o**2 - 37814*o - 18907. Let j(f) = 2665*f**2 + 12*f + 6. What is -6*i(r) - 18907*j(r)?\nAnswer: -2701*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7690644 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 8*d - 116. What is the least common multiple of h(15) and 29?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15891079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48) + -1 + 2 - sqrt(48)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10731.6 - 10732. Which is the closest to -2\/7?  (a) 4  (b) 3  (c) v  (d) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3723*b**2 + 26060*b + 4. Calculate d(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*v**2 - 4*v**2 + 5*v**2)*(3*v + v - 3*v) - 3*v**3 - 2*v + 2*v + (-2 + 2 - 2*v)*(2*v**2 + 4*v**2 - 7*v**2).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 395601.\nAnswer: 3, 163, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3198, 4, -5\/4, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.085370533 and 820?\nAnswer: 820.085370533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**5 + 148*s**4 + 1076*s**3 + 1868*s**2 - 1080*s - 2016 = 0. What is s?\nAnswer: -28, -6, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z - 10. Suppose h + 3*t + 0 = -1, 2*h = 4*t + 18. Let u be d(h). Solve -2*g + 4*x = u, -3*g - x = -2*x + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {w: 8, d: 4, l: 5}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2771 - -16625\/6. Which is the second smallest value?  (a) -2\/17  (b) 1  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -4*v + 8, -3*w = -4*w. Suppose 5*x - 23 = -j, -2*j - v*x = j - 17. Sort -5, 0, j in descending order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 1762.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -5) + 1\/(-2)*8816\/754.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) -3\/5  (c) -1\/4  (d) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -49. Suppose 2*y - 35 = -k + 153, -k - 180 = -2*y. Calculate the smallest common multiple of (-6)\/27 - (-3 + 83\/m) and y.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -12 - (0 - -1)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-10)\/6*19\/(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9619, 9616, 9603, 9574, 9523, 9444, 9331?\n\"Answer: -j**3 + j**2 + j + 9618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -165 + 165. Solve 0 = 2*j + 5*x + 19, i = j + x + x + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -55*b**3 - 50*b**2*z**2 + 7619*z**2 wrt b.\nAnswer: -165*b**2 - 100*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 61248092, 122496182, 183744272, 244992362, 306240452, 367488542?\n\"Answer: 61248090*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yybyyyqyddqdybqyeyyb. What is prob of sequence qe?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 70 + -2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 56748*c - 64884.\nAnswer: 56748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppssppsgpsssusspup. Give prob of picking 1 g and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12936558 divided by -1802?\nAnswer: -7179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6361 = 1926*t + 1343 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 8*s + 1. Let o = 16 - 10. Calculate the remainder when b(2) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 9, s: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r*r**(-4)*r)*r**9)**(-41))**(-18) assuming r is positive.\nAnswer: r**8118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182691112.\nAnswer: 2, 17, 1343317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1\/100 of a hour?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -4  (c) 0.0687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/24 and 95\/172?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -t - o + 123, 5*t = 5*o + 585. Suppose -4*i - 20 = 2*u + 130, u = 3*i + t. Let c = i + 38. Which is greater: -5\/6 or c?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n. Let x(b) = 2*b + 6. Let k(u) = 7 - 5*u + 3*u + 4*u. Let z(t) = 6*k(t) - 7*x(t). Calculate z(p(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 27*p + 113. Let w be a(20). Find the first derivative of w + 100 - 31*g - 153 wrt g.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15784*z**4 - 9307.\nAnswer: -63136*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*q*q**(-5)*q\/(((q*q*q**(4\/11)*q)\/q*q*q)\/q)*q**0*q\/(q*q\/q**(-3)) assuming q is positive.\nAnswer: q**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**9\/d**(-4)*(d**(1\/3))**(3\/7)*((d\/d**8)\/((d*(d\/(d\/((((d**(1\/8)*d)\/d)\/d*d)\/d)))\/d)\/d))\/(d*d*d\/(d\/d**(-1)*d)*d)**(-1\/32) assuming d is positive.\nAnswer: d**(1803\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*j**3 + 1 - 75*j**3 + 28*j**3 + 25*j**3 + 11 as n*j**2 + a*j + w*j**3 + i and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -20724  (b) 11  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y = -5*z + 5725, -y + z = -1919. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246 is divided by 157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 24*z + 375. Let m(t) = -2*t**2 - 7*t - 5. Let s be m(-5). Let w = s - -28. What is the remainder when v(-15) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13552 + 2?\nAnswer: -13550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l - 107*l**3 + 18*l - 62*l**3.\nAnswer: -169*l**3 + 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 2) + 30\/26. Let u = 8.6 + -8.2. Which is the smallest value?  (a) -3  (b) g  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = a + 2*v, 2*v - 48 = -2*a - 3*v. What is the third derivative of 2*i**2 - a*i**3 + 47*i**2 + 28*i**2 - 35*i**2 wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 440, 421, 364, 263, 112, -95?\n\"Answer: -o**3 - 13*o**2 + 27*o + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -14 + 5 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-48 + 7 + 5)*(-1 - 2071*p + 0 + 2*p**3 + p**2 + 2066*p) to the form u*p + i*p**3 + o + f*p**2 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*l - z + 10, 4*l = -z + 6. Find the first derivative of -4*p - p - l + 2*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/3 + 1519*v\/3 - 189334\/3.\nAnswer: -(v - 1382)*(v - 137)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 68375985 = -3*j, -14*r + 9*r + j = -85470005. Round r to the nearest one hundred thousand.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in 312.3, -8, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/(-3))\/((5856\/(-72))\/61).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1041 (base 8) to base 7\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-2))\/(65\/(-26))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*j + 18 - 5, -5*g + 5*j = -65. Suppose g + 39 = 4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-26.2.\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -5*p + p + 33, 2*t + 4*p = 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 543296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 18*k - 1640. Let a(i) = -46*i + 3280. Let c(o) = -4*a(o) - 9*z(o). What is the derivative of c(m) wrt m?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10197 > 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 y when three letters picked without replacement from zoxuyyoxxzyzu.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 5:01 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -471 by 2.\nAnswer: -471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -353  (b) -1\/3  (c) 0.03  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**2 - 16*q - 72. Let s(l) = -l**2 - 4*l + 8. Let t(n) = b(n) + 3*s(n). Calculate t(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 707*d - 29. Let z(r) = 713*r - 29. Let n(p) = 5*v(p) - 4*z(p). What is the derivative of n(i) wrt i?\nAnswer: 683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -31  (b) -1\/6  (c) 0.1  (d) -2.1  (e) 2  (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/(4\/2))\/(177\/177).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 10:14 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -73475 by -4593.\nAnswer: 73475\/4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -892 + 890. Suppose -3*o - 9 = -6. Which is the fourth biggest value?  (a) s  (b) -0.4  (c) -4\/3  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*r - 2099 = 140*r + 1051 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 40. Does 12 divide c\/3*(-9)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002320716 rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 37*b**2 + 363*b + 1. Give z(-20).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1919.087794 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -15*h + 8*h - 9*h. Let g(v) = 3*v - 18. Let l be g(6). Let f(y) = 4*y + l*y - 6*y + 4*y. Give i(f(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/30 + (-2 - 0))*-5. Let i = g + 28. What is the greatest common factor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**4 + 1 - 1 + (0*p - p - p)*(-p**3 + 0*p**3 + 2*p**3) + 4*p**4 + 4*p**4 - 7*p**4 + 3*p**4 - 2*p**4 + 0*p**4.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4\/2 - 7563*q**3 - 196976*q**2.\nAnswer: q**2*(q - 15152)*(q + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f - 9. Suppose 0 = 1468*b - 1469*b + 7. Determine y(b).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 210\/12*(15\/4 + 28 + (-5117)\/172).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**3 - 3*p**2 - 2*p. Let h be f(-6). Suppose 131*u - 2419 - 10397 = -136*u. Calculate the highest common divisor of h and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -50 - 156154621?\nAnswer: -156155001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65453 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 5*s**2 + s + 1. Calculate a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(-6)\/(-12)*(-1)\/1?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3 + 17*y**2 + 529*y - 2945.\nAnswer: -(y - 31)*(y - 5)*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -184316*f - 27761. Let u(j) = 917*j + 138. Give 6*b(h) + 1207*u(h).\nAnswer: 923*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 29952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -37 and 4.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 = 5*n - 45. Let v = -13 - n. Let j = v - -6. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 35\/173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that l**2 - l - 12 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -661a (base 14) to base 10.\nAnswer: -17664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -219055, -219114, -219173, -219232, -219291?\nAnswer: -219350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 566\/(-38) - 10\/95?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 144 - 66 = 0. Let i be 1 + 10\/(-2) + m\/3. Sort 0, 1, i in ascending order.\nAnswer: i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k**2 + 9*k**2 - 2*k**2)*(9*k - 2 + 2)*(3 + 2 - 2) to d + u*k**2 + g*k + p*k**3 and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 divided by -1?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 114 + -111. Let t(b) = -b**2 + 7*b - 1. Let u(v) = 2*v**2 - 13*v + 2. Let j(w) = i*u(w) + 5*t(w). Determine j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 25, 2.\nAnswer: 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -13*m + 377. Let q be o(28). Find the second derivative of -200*r**3 - 12*r - q*r - 20*r + 26*r - 6*r - 1 wrt r.\nAnswer: -1200*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117000*b**2 - 58497*b**2 - 58507*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4376401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 593*x**2 - 1207*x**2 + 590*x**2.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 6. Factor -10*g**5 + 5*g**5 - u*g**3 + 6*g**5 + g**3.\nAnswer: g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(5*d**2 - 2*d**2 - 4*d**2) - 26*d + 2*d**2 + 26*d - 3*d**2 + 2*d**2 - d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 124*a**2 + 402*a - 1389. What is y(121)?\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 + 7 + -4) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61647359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1254)\/(-114))\/((-11)\/18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 958348 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 8*k**2 - 46*k - 69. Let g be o(7). Which is the nearest to 7?  (a) -1  (b) g  (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -1\/1024304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2448, 19213, 64732, 153381, 299536, 517573, 821868?\n\"Answer: 2396*o**3 + o**2 - 10*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 9 - 20 + n)*(-22 - 15 + 34).\nAnswer: -3*n + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -375.2 + 50.2. Let y = z + 328. Let t be 45\/12 - (-1)\/4. Sort y, t, -4 in descending order.\nAnswer: t, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4330333014 (base 5) in base 13?\nAnswer: -1bb2487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 4*f + 5. Let i = 14 - 28. Let g be (-808)\/(-56) + 6\/i. Suppose g = 5*b - 11. Calculate w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -40, 95, -2, 262.\nAnswer: -40, -2, -1, 0, 95, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4134, 8273, 12412, 16551, 20690?\n\"Answer: 4139*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*v. Let z(t) be the third derivative of 0*t**4 + 0*t**5 + 0 - 1\/120*t**6 + v*t**3 - 2*t**2 + 0*t. Factor z(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -321  (b) -2\/3  (c) 4  (d) -0.28  (e) -0.26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 8 = 2*w + 2*x, 2*w - 2*x + 12 = 0. Let n = w - 5. Are -9 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m = -508 + 148. Let n = m + -49. Is 2 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27.985 + -32.985. Sort -0.5, -574, y, -1 in decreasing order.\nAnswer: -0.5, -1, y, -574","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29680, -5967, -5, 4 in ascending order.\nAnswer: -29680, -5967, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2714, -1.\nAnswer: -2714, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69*u**2 + 4*u + 51*u**2 - 102*u**2 to the form n + v*u + m*u**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 548, 562, 574, 584?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.17 + -0.27. Let w = 0.3 + 3.7. Which is the smallest value?  (a) i  (b) 0.1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccvcvcvvvcvcv. Give prob of sequence cv.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 212 and 2077494.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**4 + n**3 - n + 1. Let o(f) = f**4 + 49*f**3 - 198*f**2 + 344*f - 212. Let m(d) = -o(d) + 4*z(d). Suppose m(l) = 0. What is l?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*a + 37*a - 52 = 0. Calculate the remainder when 63 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - o + 0*o)*((1 - 2 + 2)*(-3 + 0 + 0) + 12 - 17 + 12)*(-3*o + 6*o - 4*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26 - 9) + 20 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -186167204 and -186167203 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 184627*i**2 + 185894*i**2 - 370523*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -8. Suppose 0 = 2*r + 5*t - 24, t = 3 - 5. Let j = r - a. What is the remainder when j is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 10. Suppose -2*h + u = 16, 4*h - 5*h - 4*u - 17 = 0. Let p be w(h). Which is bigger: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3 - 413\/(-42) - (1 + (-80)\/(-8))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 530*c**3 - 2*c**2 - 8*c + 1. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 10*v**2 + v - 8. Suppose -4*o + 162 = 58. Let p = 36 - o. What is g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jkjjjkjjkjjjjjjjjk. What is prob of sequence kkj?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -31*z + 56. Let y(l) = 44*l - 55. Let m(o) = 3*r(o) + 2*y(o). Calculate m(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 9*a**2 + 40*a + 174. Determine d(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from whfhplgghww. What is prob of picking 1 f and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 199 + -109. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2\/5))**(-1))**(12\/5)*s**(-2\/19)*s*s**(1\/3)*s*(s*s*s\/(s\/s**1))**14 assuming s is positive.\nAnswer: s**(64393\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -819, 24, -10, 0, -2, 1 in increasing order.\nAnswer: -819, -10, -2, -1, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 1. Let u(k) = 4*k. Let b(r) = -4*r + 1. Let i(n) = -6*b(n) - 5*u(n). Determine -4*a(c) - i(c).\nAnswer: -4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 24*g**2 - 35*g - 921. What is b(19)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5640764 and 1091492.\nAnswer: 8332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**44\/(l*l**36*l*l*l)*(l\/(l\/l**39))\/(l*l**(2\/5)*l) assuming l is positive.\nAnswer: l**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 482370281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 4*m - 9065, 37*m + 6049 = -2*j + 40*m. Let p = -145121\/48 - j. What is the common denominator of p and -40\/33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.31647 rounded to 1 decimal place?\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -67, -3, -34766.\nAnswer: -34766, -67, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -173712 divided by 6?\nAnswer: -28952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20424 (base 9) to base 12.\nAnswer: 7964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -124*m + 1. Let h(a) = -123*a + 2. Determine 4*h(t) - 3*r(t).\nAnswer: -120*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 317, 634, 939, 1226, 1489?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 3*n**2 - 2*n**2)*(-2 + 3 - 3) - n**2 - 3*n**2 + n**2 + 42474*n**2 + 39829*n**2 - 76821*n**2.\nAnswer: 5481*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(2299) + -3)*-6.\nAnswer: -330*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h**2 + 3*h + 2. Suppose -7 = 3*n - 4. Let s = -5 - n. Is 19 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -31, -80, -225, -514, -995, -1716, -2725, -4070?\n\"Answer: -8*r**3 + 7*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -765722, -765725, -765738, -765767, -765818, -765897, -766010?\n\"Answer: -j**3 + j**2 + j - 765723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/((-3)\/(-1))*(-5)\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 200?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*w + 350 = 14*w. Suppose -3*n + t = -7*n + 2842, -5*t - w = 0. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8319290 by 10.\nAnswer: -831929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 0. Suppose b*f - 8*f - 5*q - 2 = 0, 5 = -f + q. Let i be -2*(f - (-15)\/6). Which is bigger: 2\/43 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 69 - 143 - 12375*q + 73 - 10*q as t*q + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 57, -2\/5, 1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -955.0000383 + 955. Round g to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1618064 and 2352.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04 - 0.6407.\nAnswer: -0.6007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 e when four letters picked without replacement from ddvvvdeddve?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 16*v + 484. Let w(c) = 3*c**2. Calculate s(w(q)).\nAnswer: 48*q**2 + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1473.598602 nanoseconds in weeks?\nAnswer: 0.000000000002436505625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 + 130*z**2 + 700*z - 1960.\nAnswer: 5*(z - 2)*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a. Let t(c) be the third derivative of -c**8\/10080 - c**5\/60 - 3*c**2. Let n(w) be the third derivative of t(w). What is u(n(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -137212770 to the nearest one million.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -1633668 and -752.051.\nAnswer: -1634420.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 159*q. Let c(n) be the second derivative of n**6\/720 + 31*n**4\/6 - 20*n. Let u(w) be the third derivative of c(w). Calculate d(u(s)).\nAnswer: 159*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k*m + 20*k*v**4 + 266*k*v + k - 30*m*v**5 - m*v**2 - 2*v wrt v.\nAnswer: 240*k*v**2 - 600*m*v**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 divided by -1130759.\nAnswer: -47\/1130759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of p**3 - p**3 - 2 - 467*p**4 + 459*p**4 wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 3 - (2 - 10) - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-15))\/((-1)\/(-2)). Let f = 0.5 - 0. Sort f, -2, x in decreasing order.\nAnswer: f, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8ea (base 16) to base 12.\nAnswer: -13a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 9*l**2 + 6*l + 10. Let q be w(8). Let h = 5869 - q. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 - -4077?\nAnswer: 4070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**5 - 2*v**5 + v**5)*(-2 - 2 + 6) - 15*v**5 - 2*v**4 + 0*v**4 + 11*v**5.\nAnswer: -8*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9342 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 3. Let n = 9 + b. Suppose -6*q + 3 = -n. Solve -q = 4*y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(1740\/8))\/(9\/(-162)*-6)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 3 = -17. Let d(o) = o**3 - 6*o**2 + 12*o - 10. Let r be d(x). Suppose 0 = 11*n - r*n - 25. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3 = 2. Let o(g) = -16*g**3 - 16*g**3 + 3*g**3 - 1 - 18*g**3 + 70*g**3. What is o(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*2 - 5\/(-191)*1564938\/(-10215)\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of u**3\/6 + 8008*u. Let w(m) = 30*m. Calculate -w(d) - 12*x(d).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 2:49 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2581, -3661, -4741, -5821, -6901, -7981?\nAnswer: -9061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17.1 - 18.1. Sort 3\/5, 1\/3, d in descending order.\nAnswer: 3\/5, 1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l*z**3 + 2*l*z**2 + 118*l*z + l - 2568*z**3 + 13*z**2 wrt z.\nAnswer: -18*l - 15408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3539027*p. Let g(t) = -t**2. Give h(g(a)).\nAnswer: 3539027*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**2\/9 + 19*b\/9 + 14\/3 = 0. What is b?\nAnswer: -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7388, -7351, -7280, -7169, -7012?\n\"Answer: h**3 + 11*h**2 - 3*h - 7397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 211, 424, 637, 850?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -0*z + 2*z - 83, -4*y + 70 = -2*z. Suppose -2*s = -5*k + 89, k - 2*s - 72 = -3*k. Calculate the highest common divisor of y and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2))**(2\/29))**42 assuming y is positive.\nAnswer: y**(-168\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -470 - -470.0317. Let j = y + 7.9683. Is 13 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + 6*j + 8. Suppose 0 = 5*k - 2*d - 7, j = k + 3*k - d. Let c be 5 + ((-18)\/2)\/3. Solve 4*q - k*a = -24 - 5, 0 = c*q - 5*a + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59987075?\nAnswer: 5, 1277, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -491\/14 - -4391\/126. Is t less than or equal to -157.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5246 and 19049?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001110100 - -11000011?\nAnswer: -1110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 - 4*u + 4. Let k be s(5). Suppose -k + 19 = 2*z. Find the third derivative of 0*g**5 - 62*g**2 + 25*g**2 + g**z + 4*g**5 wrt g.\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 23*b**3 + b**2 + 2*b + 2. Let h be j(-1). Let a = h + 65\/3. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 2173?\nAnswer: -5\/2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.3 - -0.5. Let u = 0.6 + q. What is the closest to 2 in u, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.57 - 0.07. Which is the biggest value?  (a) o  (b) -1\/4  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + (-10 - (-7 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(7\/(-2)))\/((-6)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -5*x - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 1346\nAnswer: 5384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*p - c + 8476 = 30*p, 0 = -2*p + 4*c + 5660. Is p a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffnfnfff. Give prob of picking 2 f.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 6, -6742\/1189?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.94 + -0.66. Let h = k - -5.5. Which is the closest to h?  (a) -2\/11  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 34 = 14. What is the lowest common multiple of 6 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 3*t - 30, -2*q = -7*t + 9*t - 52. Let r(p) = 10 + 8*p + 6*p - q*p + 14*p. Give r(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3006 and 3744?\nAnswer: 625248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = -5*o - 42 + 9, -2791*w + 2796*w - 4*o = 93 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.3817 and 1469714576.\nAnswer: 1469714567.6183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.75 + -0.55. Let v = 1\/46 - 99\/322. Let j = 3 + -2.9. Which is the nearest to y?  (a) v  (b) j  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 divided by -36814?\nAnswer: 37\/36814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -432.\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 5*l - 3. Let d(z) = -z + 4. Let v be d(2). What is k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 7*b**2 - 4*b - 9. Calculate the remainder when 149 is divided by n(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*h - 76 = 3*q, 2*q = -4*h + 248. Let u = h + -237\/4. What is the common denominator of 31\/6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10000 (base 2) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 7:24 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 10:17 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 5*l**3\/3 + 5*l**2 - 15*l + 5. Factor g(t).\nAnswer: 5*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**2 - 3 + 0*q - 4*q - q**2. Suppose 3*z - 31 = -1. Let l be 23\/5 + (-6)\/z. Determine k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -322*n - 4. Let b = 1 + 2. Let j be c(b). Round j to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2984 greater than 2981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -61655.069 - -61547. Let b = -108 - y. What is b rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 23 - 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 682*w**3 - 63*w + 29*w + 34*w - 3985 + 143*w**3 with respect to w.\nAnswer: 2475*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17335\/5136 + -20\/321. Let q be 9035\/(-3 + 2) - 0. Let u = 126405\/14 + q. What is the common denominator of d and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 435792629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - (0 - (-2 + 3)). Suppose 4*r = c + 80, -v*r + 19 = -c - 21. Let n = 15 + -10. Solve 3*u - 2*u = -n*a - 30, 5*a + r = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2112222 (base 3) to base 13.\nAnswer: b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38 and 42920.\nAnswer: 815480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f - 4. Let s(v) = v - 1. Suppose -8 = 5*q - 3. Let w(b) = q*x(b) + 4*s(b). Let p(m) = -3*m**2. Calculate p(w(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2 - 4*a. Let u(m) = -5*m**2 - 9*m. Let n(k) = 9*i(k) - 4*u(k). Let b(f) be the second derivative of -2*f**3\/3 + f. Determine b(n(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 7*x**6\/15 - 9*x**5\/20 + 211*x**2\/2 + 8*x + 44. Find the first derivative of j(q) wrt q.\nAnswer: 56*q**3 - 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 37 - 140. Let w = -63 + k. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5*z**2 - 3 + 0*z**2 - 4*z**2. Let n be t(6). Find the common denominator of -29\/8 and 15*1*n\/(-54).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -331.999466 - -332. Round b to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -1. Suppose -3*s + 2*o = 6*o - 10, 0 = -i*s - 4*o. Suppose 0 = 2*w - s - 0, 5*f = 5*w. Solve 0 = v + f - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 41 = -2*p - 11, 2*p - 30 = -5*i. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111110 + -12?\nAnswer: -111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 10518?\nAnswer: -10515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of 5*f**8\/168 - 5*f**7\/42 - f**6\/4 + 2*f**5\/3 + 5*f**4\/6 - 5*f**3\/2 - 285*f**2 - 2*f. Let q(p) = 0. What is p?\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -a + 5*f, -2*f + f + 7 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 24*h - 570. Give z(25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257*k**3 - 9590386 + 9590386.\nAnswer: -257*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3\/4)\/3)\/((-18)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from {f: 12, h: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 + 11*t**2 + t - 11. Let o be w(11). Suppose -m = -4*h + 5 - 1, o = h - 5*m - 1. Let i be (2\/(-4)*0)\/1. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42031 (base 5) in base 3?\nAnswer: 10210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15311718?\nAnswer: 2, 3, 71, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i - 3*m - 40 + 16, -3*m + 24 = 3*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/40)\/((-915)\/244)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 26, -5, -55, 79, -3 in ascending order.\nAnswer: -55, -5, -3, -2, 5, 26, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.68 - 6.8. Let u = n + -1.18. Is -22 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (171\/((-86184)\/2304))\/((-2)\/(-7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -30*3*(-24)\/270?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of i**4\/4 - i**2 + 3*i - 6. Let g(k) = -k**3 - 3*k**2 + 2*k - 5. Let u be g(-4). List the prime factors of h(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-9 + (-56)\/(-6)))\/(15\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23 + -4 + 24 - 4967\/(-1680) and -61\/200.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.93 - 0.23. Let g = c - 0.3. Let m = g + 0.6. What is the third biggest value in 5, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1023051 (base 6) to base 2\nAnswer: 1100001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9233862 by -4616931.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/12 in 236, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - -11877001) + 4*(-18)\/12. Round w to the nearest 100000.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/(-4) + 0 + -4. Let w = u + 4. Let k be 5\/(-2)*8\/w. Which is the second biggest value?  (a) 1\/5  (b) k  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -596230*u**3 - 1094*u**2 + 547*u - 547. Let k(h) = 2184*h**3 + 4*h**2 - 2*h + 2. What is -1094*k(c) - 4*z(c)?\nAnswer: -4376*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*s**3 - 11*s**3 - 2*s**2 + 3*s**2 + 13*s**3 to t*s**3 + a*s + q + w*s**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -2095353, 2 in descending order.\nAnswer: 2, 1, -1, -2095353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 352721 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10133330003 (base 5) to base 12.\nAnswer: -35ba895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3 = 1. Suppose -y*o = 5*p - 4*o - 314, -4 = 2*o. Suppose 3*a + 248 = 4*w, w - a = -2*a + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167607505 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -144?  (a) -96  (b) -3531  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-90)\/(-27)*792\/10. Calculate the greatest common factor of w and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -27\/2. Let v = -9526 + 9515. What is the nearest to h in -2, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.54352um in millimeters?\nAnswer: 0.04554352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -8*u**2 - 37*u - 152. Let g(d) = -33*d**2 - 147*d - 609. Let w(n) = 5*g(n) - 21*t(n). Factor w(c).\nAnswer: 3*(c + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4871431027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 17 = 2*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {g: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(1\/5)*j)\/j)\/(j**(-2\/61)\/j))\/(j\/j**(-7)*j**(-14)\/j) assuming j is positive.\nAnswer: j**(2511\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a - 3. Suppose 59*w - 47 = 60*w. Let f = w + 44. What is s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = k + 4*k, -k = 2*w - 12. What is the third derivative of 2*l**5 - 2*l**5 + w*l**5 - 6*l**2 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 13*v. Let w be q(7). Suppose w = 10*u - 1989. Is u a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*i**3*o**3 + 301*i**3*o**2 - 239*i**2*o**3 + 10*i**2*o**2 - 11*o**4 wrt o?\nAnswer: 30*i**3 - 1434*i**2 - 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**3 + 238*t**2 - 462*t - 700. What is s(117)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n**2 + 107*n - 855. Let c be f(17). Solve 16 - 210 = -c*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111002022 (base 4) in base 13?\nAnswer: 302a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h - 15. Let f(x) = 4*x - 15. Let r(z) = -3*f(z) + 2*v(z). Let n be r(3). Solve 5*b - 37 = -4*q, 0*q - 3*q = -n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.0437 + -0.0437. Let g = -243 - -242.644. What is the third biggest value in 0, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 104. Suppose 2*s - 3*f = 3*s + 8, -4*s - 2*f - 52 = 0. What is the smallest common multiple of 54 and k(s)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g + 16*g - 6*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 29653, 29659, 29665, 29671?\n\"Answer: 6*r + 29647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4507 (base 8) in base 7?\nAnswer: -6632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -35*p**3*r**3 + 2*p**3*r**2 - 2*p**3 - 5*p**2*r + 10*p*r**3 - 2*p*r - 6 wrt r?\nAnswer: -210*p**3*r + 4*p**3 + 60*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2387333713?\nAnswer: 31139, 76667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -561*o - 351*o + 1050*o - 1242 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*h = a + 45*h + 9, -4*h = 4*a - 36. What is the remainder when 55 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, q: 1, g: 2, u: 7}. What is prob of picking 1 g, 1 w, and 1 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -126 + 118 + 0 + 11 - (-2)\/(-5)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 10:58 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1\/3  (b) -1\/6  (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-93 + 44 + 12)*(3*g**2 - 3*g**2 + 3*g**2).\nAnswer: -111*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 14 = -25. Let o(j) = j**3 + 11*j**2 - 26*j + 6. Determine o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j*j\/j**1)*j)**(2\/153)*(j\/((((j\/(j*j\/(j*j**13))*j)\/j)\/j*j)\/j))\/(j**(-10)*j) assuming j is positive.\nAnswer: j**(-302\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2272 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4 + 446*t**3 + 14819*t**2 - 15264*t.\nAnswer: -t*(t - 477)*(t - 1)*(t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-d**2 + 2 - 2)*(-1 + 3 + 0) + (-2*d - 2*d + 6*d)*(12*d - 2*d + 12*d))*(-d**2 + 11*d + 128 - 63 - 69).\nAnswer: -42*d**4 + 462*d**3 - 168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3474*b - 3493*b + 10420*b + 1 - 3482*b.\nAnswer: -29*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 36*g**2 + 14*g. Let o(l) = -7*l**2 - 3*l. What is 14*o(s) + 3*z(s)?\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1879 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -57. Suppose 3*r + d - 44 = -r, 3*r - i = 2*d. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21131 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -1 - 2*l - 8*l + 4*l - 4. Let h be v(-4). Suppose 14*x + 250 = h*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 5624.\nAnswer: -3, -1, 5624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.511 + -5.76. What is k rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -56*8\/6*(-1)\/12 and -53\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 50224144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -63*l - 9. Calculate o(-4).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 25523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*g**3*k**2 - 1228*g**3*k*x**2 + 32*g**2*k**2 + g**2*k*x**2 + 25*g*k**2 + 2*k*x**2 - x**2 wrt g?\nAnswer: -66*k**2 - 7368*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**2 + 6*f - 1. Let x be v(5). Let n be 26124\/(-180) + 2\/15 + 1. Let r = x - n. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*d - 3*d - d + 0*d in the form h + j*d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164 + 2*c + 183 - 37 - 309.\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 c when four letters picked without replacement from {d: 9, c: 6, a: 4}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 2*c + y - 3 = 0, -4*c + 4*y + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p + p + 5*p)*(p**3 + 2*p**3 - 4*p**3) + (-2*p**3 - 6 + 6)*(1750 - 1749 + 13*p + 74*p) as y + v*p + i*p**4 + b*p**3 + f*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, g: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -37 + 43 + -12 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*g**3\/2 - 441181*g**2 + 10813419840*g - 2402960400 = 0. What is g?\nAnswer: 2\/9, 49020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 14*h**2 + 0 - 1\/3*h**3 + 0*h**4 + 0*h + 1\/30*h**5. Factor v(b).\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or 3220720?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 6*w - 3*w - 4*x, 4*w - 4*x - 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1249 + -715. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127787981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.94 + -0.06. Let t = -5 - -7. Suppose 2*y - 18 = y - 4*m, t*y - 4*m + 24 = 0. Sort 1\/3, u, y in ascending order.\nAnswer: u, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - 3*(sqrt(133)\/sqrt(7))**2 - sqrt(19)) + (sqrt(19) + sqrt(931) + 1)**2.\nAnswer: 16*sqrt(19) + 1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3713824 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 32\/(-12)*6\/44. Let d = -35\/66 - g. Suppose -l = 2*l. Which is the second smallest value?  (a) -3  (b) l  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/4  (b) -1\/4  (c) -3  (d) -743\/119  (e) 0.5  (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13663789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 2*f + 49473, -5*f - 97050 - 100894 = -4*u. Let m = u + -270481. What is m rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -12. Suppose 8*u + 20 = k*u. Let t(s) = -9*s**3 + 21*s**2 + 21. Let g(y) = 2*y**3 - 5*y**2 - 5. Calculate u*t(q) + 21*g(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.4?  (a) 0.11638476  (b) 5  (c) 2\/7  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2\/5 - 1788*z\/5 + 72027.\nAnswer: -3*(z - 159)*(z + 755)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 6*p**2 - 5*p - 6. Suppose -4*c + 26 = -s, 11 - 5 = 3*s. Let q be a(c). Suppose -q = -5*o + 12. Solve -2*i + o = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -28, -43, -54, -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8306184 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36414 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 201926145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (24440\/(-17860))\/((-26)\/18)\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1277*l - 63177*l - 1017*l.\nAnswer: -62917*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1056755 - 629742. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.07  (b) -0.3  (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2688*m**2 - 1116 with respect to m.\nAnswer: 5376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vpvjpzv. What is prob of sequence zjv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 5*h - 6*x - 148, 5*h = -4*x + 124. Let s = h - 19. Let d = s + -7. Solve -d*c - 5*w = 16, -2*c - 3*w = -w + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-15) - 536\/(-1005). What is the biggest value in 1\/5, 4, -2\/23, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 35 = -5*s, -3*f = 3*s - 2*s - 5. Let w(y) = 9*y**3 + 6*y + 4. Let i(n) = -26*n**3 - 17*n - 11. What is s*i(j) - 11*w(j)?\nAnswer: 5*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13645 is divided by 13642.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 7*s - 4. Does 12 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*51\/(-1734)*119.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -101 + 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*o + 4*t, 3*o + 1 = -t + 10. Suppose -5*d = 4*f - 23, o*d - 8 = -4*f + 12. Solve -5*x = -d - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 1913*v - 22365. Determine w(12).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 2:05 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -8 + 342\/(14\/7). Let a = 163 - p. What is t in 2\/7*t + 2\/7*t**2 + a = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/60*-3*(-5 - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 - 1002?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*l + 102*l - 18*l + 286 = 0 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.8 + -1.48. Let k = -0.3 + j. Let d = 275740 + -275740.04. Is d smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/60 and (143\/72 + -2)\/(2\/604)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16402 minus -34835529?\nAnswer: 34851931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 64*o**3 - 2*o**2 + 5*o. Let m(h) = 32*h**3 - h**2 + 2*h. Calculate -5*m(z) + 2*n(z).\nAnswer: -32*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 433803 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -6*c**2 - 58*c + 22. Let a be k(-10). What is the third smallest value in -1\/25, 0, 2\/25, a?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 650.4 + -569. Let i = 16.4 - y. Sort 5, -0.5, i in descending order.\nAnswer: 5, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 112\/(-12)*(-54)\/189. Solve 8\/3*y**2 - 2\/3*y**3 + 0 - x*y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/12 + 2\/4*0. Let h = 1.971 + 0.029. Which is the closest to i?  (a) h  (b) 5\/6  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/6240 and -155\/17472?\nAnswer: 87360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -3.3. Let l be 38\/285*(-10)\/(-4). Which is the second biggest value?  (a) -1\/10  (b) q  (c) l  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/115621 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 0.241965?\nAnswer: -2.241965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112719598 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2143, 4323, 6501, 8677, 10851, 13023, 15193?\nAnswer: 17361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(77)\/(sqrt(7) + (sqrt(567) + -3*sqrt(567) - sqrt(567) - sqrt(567)) - sqrt(7)) - (1 + sqrt(11) + -4*sqrt(176))**2.\nAnswer: -2476 + 1079*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.52 + -1.48. Let o = z + -35. Which is the closest to 1?  (a) o  (b) 3\/2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16752 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/96 and (-517)\/220 - (-16 - -10).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 3*u + 7*u**2 - 3*u + 27*u**2. Is 17 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 4806738973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -86 + i**2 + 8*i**4 + 181 - 94 - 2*i - 26*i**3 + 2*i as l*i**3 + d + o*i + b*i**4 + r*i**2 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 758 - 596. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9449 is divided by 627.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 7 = -0*v - 3*v, -4 = 3*l - 2*v. Suppose l*y + 22 = -0*y. Calculate the common denominator of -1\/12 and (y\/(-6))\/(2\/(-42)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(110) - (sqrt(110)*-2 - sqrt(110))*-6)\/(sqrt(160)\/sqrt(4)) + 5)**2 + -5 + 2 + -4.\nAnswer: -85*sqrt(11) + 3251\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 9*d**2 + 22*d - 136. Determine l(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -19*c - 8. Let j(l) = 13*l + 5. Suppose -o - 8 = 2*v, 4*o - 5*v - 12 + 44 = 0. Give o*j(n) - 5*a(n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2567*d**2 - 2*d - 114*d**3 - 2565*d**2 + 3*d**4 - 168*d**3 + 2 to the form m*d**4 + i*d**2 + g*d**3 + j*d + s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-3) - 1286\/3. Let s = i - -480. What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37031923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 683876 not equal to 683877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1179314 = -29*z - 468002. Suppose -234*a + 222*a = -z. What are the prime factors of a?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -2*m - 194. Let q = -51 - m. Is (q\/(-4))\/((-2)\/44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1176 + 1063 + 271 = -633*x - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 120\/(-21)*(8 + 299\/(-26)). Solve -43*b + g = -33*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 1  (b) 5  (c) -0.14  (d) 16\/1653\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10990 - 8767. What are the prime factors of a?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2323*4\nAnswer: -0.9292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3813061*s**3 + 2*s**2 - 19301*s - 5340 wrt s.\nAnswer: -22878366*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -91 by -17023.\nAnswer: 91\/17023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 21060.\nAnswer: 10530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(56) - sqrt(112)\/sqrt(32)))\/(sqrt(800)*2*1).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 1216\/7*o**2 - 5\/7*o**5 + 320\/7 + 1284\/7*o - 402\/7*o**4 - 145\/7*o**3 = 0. What is o?\nAnswer: -80, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) -0.2  (c) 1  (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7770.545ug to kilograms.\nAnswer: 0.000007770545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -216 by -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*a = -35*a. Suppose -2*b = -10 + 4. Suppose 4*k - b*k - 32 = a. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-24)\/1134)*22\/33?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1118708 - -292851. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from vaaavaa.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -35*a - 105. Let o be j(-3). Suppose z + 4*d - 56 = o, 3*d - 4 = 5. What is the remainder when z is divided by 1\/2 + 17\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8030395 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 25, -27 in ascending order.\nAnswer: -27, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2 + 18*j - 2. Let g(x) = -x. Let l(f) = a(f) + 4*g(f). Let v be l(8). Which is bigger: v or -19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3689 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 704 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (-2 - (-8 + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 4\/5  (b) -90\/7  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20671992 is divided by 1253.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -105528 smaller than -738699\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/(y**(-3)*y)*y)\/y)\/y*y**11*y**7\/(y*y**0) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -11*w + 3. Let l be o(-5). Let d = l - 107. Let y = d - -74. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 16*w**4 + 3*w**3 - 2*w + 51. Let c(t) = 16*t**4 + 2*t**3 - t + 50. Let q(o) = 3*c(o) - 2*j(o). What is the derivative of q(p) wrt p?\nAnswer: 64*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166 = 111*z - 133*z - 98 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 68*v - 364, 3*v = 156*o - 154*o + 120 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.11  (b) 0.02  (c) 4  (d) 0  (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*s - 9 - 29*s - 14*s**2 + 22*s**2.\nAnswer: 8*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -193  (b) 17\/5  (c) -2\/19  (d) 2334\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2639.606 years?\nAnswer: 263.9606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9525*s - 2497 + 14931 - 6177 wrt s?\nAnswer: -9525","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -129 divided by -7444\nAnswer: 129\/7444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (-37 + 78)) + (0 - (2 + 7))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -83*j. Let w(i) = 990*i. Give w(n(d)).\nAnswer: -82170*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/2)\/((-24)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2379 = j, -6*j = 4*y + y - 14295. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/5 + 1904767*q\/5 + 1904768\/5.\nAnswer: -(q - 1904768)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2222, 17671, 59616, 141305, 275986, 476907, 757316, 1130461?\nAnswer: 1609590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 113\/105 + 9\/35. Sort x, 1, -92 in descending order.\nAnswer: x, 1, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -172, -170, -160, -136, -92, -22, 80, 220?\n\"Answer: w**3 - 2*w**2 + w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -29 + 57 + -16 + 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (9\/84)\/((-1280)\/(-720) + 530\/(-288))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - (-7683)\/6)\/(26\/4). Let j = 197 - o. Let t = -3861\/17 + 227. Sort -4, t, j in descending order.\nAnswer: j, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c + 6. List the prime factors of f(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-five halves of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (5 + (sqrt(19) + 1 + -4)*1 - (4 + (2 + sqrt(931) + -3)**2)).\nAnswer: -934 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 69827, 69844, 69875, 69926, 70003?\n\"Answer: c**3 + c**2 + 7*c + 69818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.0516 to 0 decimal places.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1253*x**2 + 1252*x**2 + 1250*x**2 - 3501*x**2 - 260*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/5))**(-2\/3)*(g*(g**1*g)\/g)\/(g\/(g**6*g)*g))**(-43) assuming g is positive.\nAnswer: g**(-4687\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*u + 165 = 72*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(25)\/(3*sqrt(5)) - ((sqrt(100) - sqrt(100)*3) + sqrt(100))\/sqrt(5))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -3575674393.\nAnswer: -3575674392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-1\/5)\/w)\/w)**(6\/13))**(2\/41) assuming w is positive.\nAnswer: w**(-132\/2665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (1 - (-3 + -2)). Let p be 0\/(z + -2) - -12. Solve -5*i - 4*k = k - 40, -2*i + 5*k - p = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {d: 2, s: 2, x: 3, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 306\/(-13005)*(8\/(-20))\/((-12)\/(-75))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 0)*3\/(-6). Let t = -3 + 2. Let u = 1.4 + t. Which is the closest to 1\/2?  (a) m  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 30, 2, 191, -109.\nAnswer: -109, 2, 30, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/9))**(-45)\/(x**10*(x*x**(-2))\/x*x) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*k + 3 + 3 - 4*k)*(-2 - 3 + 6) as m*k + l and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/4))**(-2\/31)*(j\/(j\/j**(-13)))\/(j*j**(-16)\/j) assuming j is positive.\nAnswer: j**(187\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 13 = w, 2 = -4*w - 3*t - 1. Suppose -3*x - w*h + 39 = 0, 3*x - 3*h = x + 1. Calculate the highest common divisor of 32 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2 + ((sqrt(76) - (sqrt(76) + 2)) + 4)*4*-5 + -2))**2.\nAnswer: 69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -15  (b) 0  (c) 0.4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 375913, 753719, 1131525, 1509331, 1887137?\n\"Answer: 377806*w - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 - 12977*b**2 - 25958*b.\nAnswer: b*(b - 12979)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*s + 32 = -28*s. Let l be (204\/(-272))\/(1 - 22\/s). Let m be (-5)\/l*(-15 + 9). Solve -3*y + d = -0*d + 14, -3*d = -m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -4*w + 15. Give k(-10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -252 - 424 = -4*g. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -3, -5, -4, 5408, -5\/14 in decreasing order.\nAnswer: 5408, 1\/2, -5\/14, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -790254 by -6.\nAnswer: 131709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/3  (b) 3  (c) -3\/52  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a hour in seconds?\nAnswer: 52560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 4 = -7*x. Suppose y - 4 = 3*y, w = x*y + 47. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 5:25 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 6 + (2 - 5 + 1)*(-3 + 2 + 2))*(414 - 22*j - 414).\nAnswer: 220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssssssjkssssssssss. Give prob of sequence sjks.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6497, -4970, -3443?\n\"Answer: 1527*y - 8024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 10 + 4 + (-4 - 18) + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4525194, 18100782, 40726762, 72403134, 113129898, 162907054, 221734602?\nAnswer: 289612542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17689.88 - -15.\nAnswer: 17704.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -65446968 divided by 10907828\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**4\/4 - 2*t**3\/3 + t**2\/2 - 1. Let u = 15815 - 15817. Let h(m) = -5*m**3 + 11*m**2 - 5*m. Give u*h(k) - 11*j(k).\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 6:05 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3cc7b - 48e?\nAnswer: -3d109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*0.02520984.\nAnswer: -0.05041968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*n - 5*d, 2*d - 14 = 4*n - 7*n. Solve 0 = 3*h + n*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 2 - (-34 - -32)) + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4832 and 21922085386.\nAnswer: 21922090218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a, 1 w, and 1 r when four letters picked without replacement from {w: 4, r: 6, o: 1, a: 6, m: 1}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5990886*s + 6*s**2 + 5990886*s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*j**2 - 262516*j**3 + 131257*j**3 + 3*j**4 - 23 + 131260*j**3 + j as v*j**3 + s*j**2 + m*j + o*j**4 + l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1433444 (base 5) to base 12.\nAnswer: -15797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-9))**(-3) assuming h is positive.\nAnswer: h**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 87686173 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12541 in -3, -173, -1\/4?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqaquqquaqqqqqq. Give prob of picking 2 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.42 + 14.52. Suppose -q - 30 = -5*q + 2*y, -2*y = 2*q - 18. What is the second smallest value in j, 0.3, q, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 79*o - 1968. Determine x(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9.408052 decades?\nAnswer: 0.9408052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*r - 11*r + m - 29, -4*r - 16 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j + 19*j - 13*j - 7*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 151 + -161 + (0 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*j + 2, 0 = -4*j - j + 3*v. Suppose -10*r - 14 = -17*r. Suppose j*b**2 + 4*b**r + 5 - 2*b**2 + 10*b = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 27*h**2 - h + 37. Determine d(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from pdppddddddp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 + -69. Is c equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + -6*(sqrt(25) - (sqrt(25) + 5*sqrt(625) + sqrt(25)))\/(sqrt(5) - (-2*sqrt(245) - sqrt(245))).\nAnswer: 10 + 78*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -31 - -195ab?\nAnswer: 1957a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*u - 1411 = -52*u + 16*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -368471 (base 10) to base 14.\nAnswer: -983d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 223064 or 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {m: 2, b: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -479.75904 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**3 + 2*o**3 - 8*o**3 - 5*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 71 from -22.42.\nAnswer: -93.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 4)*(2 - 2 - 321*b**2 + 36*b**2).\nAnswer: -1710*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1112 - 1111. Suppose h - 4*h = -12. Suppose -h*z - z - 20 = 0. Which is the nearest to i?  (a) -5  (b) 0.07  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*y**4\/2 + 330*y**3 - 19089*y**2 + 100794*y + 240429\/2 = 0. Calculate y.\nAnswer: -1, 7, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5912 - 11741 + o + 5829.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three quarters of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2403 + -1141. List the prime factors of j.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.103 + -0.813. Let h = 4.36 - p. Sort 1, h, 27, -3 in descending order.\nAnswer: 27, 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*l + 156*l - 981 = -295*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 709200 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 9356*k**2 + 21893037*k - 43748658.\nAnswer: (k - 4677)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5344020*m**2 - 5660434 wrt m.\nAnswer: 10688040*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 8*o**2 - 8*o + 8. Suppose 8 = 4*y - 2*y. Let i = -11 + y. Let z be q(i). Solve 2*a + a = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7*o**3 + 4 - 13*o**3 - o**3 wrt o.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.42 + 53.9. Let q = i + -44. What is q rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*1*(3 + -2). Suppose 5*p - h - 13 = -2*h, 2*p = 2*h - a. Suppose -p = -7*z + 40. Solve 20 = b - z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide ((-3)\/(-6))\/(14\/22316)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -508266 rounded to the nearest 1000?\nAnswer: -508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + (-6*2*sqrt(170))\/(sqrt(360)*-4) + -4.\nAnswer: sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -14.8  (b) 3\/5  (c) -1\/4  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15413 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) 14\/5  (c) -1\/18  (d) 6  (e) -7.6  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**5 + 3552*s**4 - 281628*s**3 - 1818192*s**2 - 114240*s + 9697536 = 0. What is s?\nAnswer: -4, 2, 92, 1098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-14 - 0) - (11 - 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.9 - -2.92. What is the second biggest value in -2\/7, -0.4, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 3. Suppose -j + 0*j = p. Suppose -3*b - b - 5*d + 30 = j, 3*d + 6 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 10. Suppose 0 = -2*x + 5*w - 0 + 14, -j*x + 28 = -w. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*i**4 + 7*i**3 - 389*i**2 wrt i?\nAnswer: 528*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 4 and 46\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 105585841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6095*q - 12194*q + 6098*q - 1244 + (0*q - q - q)*(-4 + 2 + 1) - q + 0*q + 6*q.\nAnswer: 6*q - 1244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 791231213 to the power of 1\/3, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**3*o*s + 5*m**3*o + 35*m**3*s + m**2*o + 3*m*o + 2*m*s + 26*o*s + 4*s wrt m?\nAnswer: -6*o*s + 30*o + 210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 - 6*u + 2. Let f be w(4). Let d = -4 - f. Sort 3\/8, 0.3, d in increasing order.\nAnswer: 0.3, 3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 27265, 24073, 20881, 17689, 14497, 11305?\n\"Answer: -3192*k + 30457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2814\/(-98) - (-44)\/(-154)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 353*y**2\/5 + 13394234*y\/5 + 75888\/5.\nAnswer: (y + 37944)*(353*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 29b0 (base 16) in base 8?\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 - (31 + -19 + -26 - (7 + 1) - -11).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60500820 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(128) - (sqrt(24) - (sqrt(24) - (sqrt(24) - (-2*sqrt(96) + sqrt(24)))))\/sqrt(12))*1)**2.\nAnswer: 16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -74, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(-2*sqrt(486) + sqrt(6)) - (sqrt(5760)*3)\/sqrt(8).\nAnswer: -613*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11559897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1703 + 1703 + 1502*f**2 - 1495*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 340?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 1873bb5?\nAnswer: 1873bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*q - 492*q + 6903 + 6429 = 840 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 807007586 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**2 - 16*w + 11. Let h(m) = 2*m**2 - 16*m + 11. Let v(l) = 6*h(l) - 5*u(l). Is v(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 2*y**2 - 2*y - 5. Let n(g) = g**3 - g**2 - 2*g - 4. Let a(h) = -4*n(h) + 3*w(h). Let z be -10 + (-10 - -13) + 4. Give a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c**2 + 3*c + 3. Let p(z) = -z - 1. Calculate -3*p(a) - t(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5489.664t to micrograms.\nAnswer: 5489664000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, r: 2, g: 2, f: 1}. What is prob of sequence grg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 1. Let a(u) = 2*u. Suppose -3*c - 2*m + 26 = 0, 3*c - 5*m = -c + 4. Let d(i) = c*g(i) - a(i). What is d(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 489 - 234. What are the prime factors of n?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -40\/13 - -2227\/728. Let l = 5 + -5. Which is bigger: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -942 or -1216?\nAnswer: -942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wrwrrwwrrrr.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -27*a**5\/20 - a**4\/6 + 3*a**3\/2 + 37*a. Find the third derivative of s(f) wrt f.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that z**3 - 12*z**2 + 35*z - 24 = 0.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7\/15, 2\/3, -14.7, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1227241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 106*m**2 - 565*m + 111. What are the prime factors of d(98)?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ounn when four letters picked without replacement from fouffofuufofununh.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -2. Find the second derivative of s*d**4 + 7*d**4 + 3*d**4 + 6*d - 6*d**4 wrt d.\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, -3, 5\/2, -13\/20?\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/((2\/5)\/(8\/(-10))). Suppose -p + 19 = y. Let c be p + 3\/(93\/30 - 4). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**2*h)**(-31)\/(h\/(h*h**10\/h)*h**5*h))**(-33) assuming h is positive.\nAnswer: h**3993","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*(-7)\/154 - 42\/11. Which is the fourth smallest value?  (a) q  (b) -0.1  (c) -0.03  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1465, -1484, -1515, -1564, -1637, -1740?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -835 by -167.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((32\/(-13))\/2)\/((-16 - -15)\/(-45 + 43))?\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(8)\/sqrt(4))) + -5 + (sqrt(10)\/sqrt(5)*-4)**2 + (-6*sqrt(576) - sqrt(16))\/sqrt(8).\nAnswer: -38*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 740 + -674. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 2*j - 1 + 3 = 0, -2*j - 4 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = j - 13749, 26*g - 20 = 31*g. List the prime factors of j.\nAnswer: 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2330 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 2, v: 2, a: 2, r: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**3*d + 22*a**3 - 415*a*z + d*z + 5*d - 1686 wrt a.\nAnswer: 3*a**2*d + 66*a**2 - 415*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1596 and 32396140?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - z. Let h(l) = -3*l**3 - l**2 - l. Suppose -3*p - 4 = -4*p. Suppose -p*o + 8*o + 4 = 0. Determine o*h(m) + q(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from owowooow. What is prob of sequence oww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -618.1 - -618. Let p be 3\/(18\/8) + -2. Let o be (-35)\/(-45) - 3\/(6 + -3). What is the third biggest value in d, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -52*k + 31. Let a be j(-12). Let i = -357 + a. Suppose -3*v = b - 7*v - i, -5*b - v = -1469. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -9*o**3 - 62*o**2 + 473*o + 3205. Calculate k(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q**2 + 29*q - 10. Let z(s) = 19*s + 48. Let k be z(-2). Let i be j(k). What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 4*f + 431, 4*z + 5*f = 94 - 648. Let p = z - -139. Let w(c) = -5*c**3 + c - 1. Let n be w(1). Sort 1, n, p.\nAnswer: n, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 9. Let k be t(0). Suppose -2*n - n = -k. Solve -n*l = -0*l - f, -l - 2*f = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(70)\/(3*sqrt(10)*5) + 5.\nAnswer: -sqrt(7)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (1122\/(-44) + 21)*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 5*w**3\/6 + 60*w**2 + 21*w. What is the tens digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1723357.107 and 0.2448.\nAnswer: -1723356.8622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 267098 to the power of 1\/2, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q**(2\/11)\/q))**(-8)\/(q*q*(q*q\/q**(-5\/8))\/q*q\/(q*q**(14\/3))*q) assuming q is positive.\nAnswer: q**(-5941\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3*j = -3, -5*j - 7 = 4*o - 20. Suppose 5*v - 31 = 4*a, -2 - 3 = -3*v - a. What is k in 4*k**3 + 0*k**v - 16 - 9*k**o + 36*k - 15*k**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22380487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1090824858 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 659345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -55.2 - 218.8. Let n = -274.0238 - b. Round n to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 106.1643 - -4.8389. Let w = m + -111. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.119 + -0.859. Let l = 0.86 + j. Which is the second biggest value?  (a) -4  (b) 0  (c) l  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 30880*r**2 - 6072*r**3 - 30880*r**2 + (2 - 2 - r**2)*(3*r + r - 3*r).\nAnswer: -6073*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 9. Suppose 5*h = -2*b - 16, h = g*b - 2*h. What is the tens digit of (-7 + 1)\/b + 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 98 - 119. What is the hundreds digit of 2 + (391 - (-4 + o\/(-3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 + 1890 = 225*n. Let t(r) = -r**2 - r + 15. What is the least common multiple of n and t(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-6)*(11 - 8). Solve i*z - 6 + 0 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-344986)\/4*(-4 - 2). Let d(j) = -211036*j**2 + 96516*j**2 - 5*j - z*j**2. Let t be d(5). What is t rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -12*(0 - (-3 + 4)). Suppose 0 = -3*s - 3 + y. Let u(c) = c**3 + 13*c**2 + 12*c + 5. Let h be u(-12). Solve 2*t - s*n = h, 4*n = -3*t - t - 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 5*g = 10, -2846*g + 2843*g - 6 = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f*(f**(-1\/4)\/f*f)\/f))\/f)**(-46)\/((f**(2\/5)*f*f)\/(f*f**(-6))) assuming f is positive.\nAnswer: f**(-649\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 - 2*h + h)*(2 + 1 + 3)*(1 + 4 - 3) to the form y + t*h and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -10 - (1 - 5) - (22 + -17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2567010 and 2460?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1162*m + 790*m + 117120 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 5*n - 125 + 122 = -82*c + 93*c, -4*c = 2*n + 38 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 8:55 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/((-5808)\/(-162)))\/(6*4\/(-64)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25146, -50310, -75482, -100662?\n\"Answer: -4*n**2 - 25152*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3124318 + 3124318 + 41911*w as u + f*w and give f.\nAnswer: 41911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 14*d**2 + 32*d - 356. What is the units digit of y(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 329689.7 micrometers?\nAnswer: 0.0003296897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -101  (c) -0.009  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2. Let c(b) = 26844403*b. Calculate q(c(t)).\nAnswer: -720621972426409*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 895146055 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27.78 - 49.35711.\nAnswer: -21.57711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 64*y**2 + 10*y - 16. Does 17 divide u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/6)\/(15\/(-45)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -301*v**3 - 21*v**2 + 42. Let i(h) = 61*h**3 + 4*h**2 - 8. Determine 11*i(t) + 2*x(t).\nAnswer: 69*t**3 + 2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3 - 22 = 0, 5*z = -3*g. Solve 2*j + 22 = -4*t + z*j, 4*t = -2*j - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 676405813 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + (-9)\/(-3))*(26 + -25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 8*y**3 + 2*y**2 - 2*y - 1. Let x(n) = -n**2 + n + 1. Let q(a) = r(a) + x(a). Let j be q(1). Is 9\/12 + 282\/j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -56060\/17 and -3298 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*t - 3*t - 37 = 0, 0 = 4*u - t - 99. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 64.6 + -65. What is the biggest value in -2, w, -17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from xxaxxaxaaaaxx?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.14  (b) -2\/5  (c) -2  (d) -252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -233, -371, -521, -689, -881, -1103, -1361, -1661?\n\"Answer: -d**3 - 131*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 8 = 3*s + 4, 38 = s - 5*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, x: 1, n: 1, g: 4, y: 4, a: 1}. Give prob of sequence xyy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - 15. Suppose 10*k - 245 = w*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 6*j. Let c(k) be the first derivative of -k**3\/3 + k**2\/2 + 6*k - 2. Does 6 divide c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69360*l**4 - 412760*l**3 - 81420355*l**2\/3 - 1329650*l - 48875\/3 = 0 for l.\nAnswer: -17, -5\/204, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = -3*r + r. Suppose 0 = 5*j - 2*a - r, 0 = -j - a + 33 - 9. Suppose 6 - j = -u. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(20)\/sqrt(4) + sqrt(5) - (-5 + sqrt(5)*1))**2 - (sqrt(35)\/(sqrt(7)*3) + ((1*(sqrt(5) + 0) + sqrt(5))**2 - sqrt(5))).\nAnswer: 25 + 62*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 9*f + 6. Let z be k(-9). Let d(y) = y**3 + 7*y**2 + 4*y + 9. Let r be d(-6). Solve 3*n + z = r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*a + 6 - 46 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0333489954 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -227316 (base 9) to base 2\nAnswer: -100001010110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/3 - (0 + 1 + -2). Let m = -36 - -217\/6. Which is the third biggest value?  (a) x  (b) -1\/12  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 26\/5*p**5 + 26\/3*p**3 + 38 + 0*p + 0*p**2 + 0*p**4. Find the third derivative of i(u) wrt u.\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-2)\/(-2))\/((-21)\/(-42)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f\/f**(-9))**(-45)\/(f\/((f*f*f*f*f\/(f\/(f\/f**15))*f)\/f)*f*f**(2\/43)) assuming f is positive.\nAnswer: f**(-23738\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10.144 + 0.156. Let j = 55.7 + u. Let i = 67.83 - j. Round i to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 531 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -4*o + 13. Suppose 4*f = 0, -4*w = -2*f - o - 3. Find the third derivative of 33*q**2 + 3*q**w + 37*q**2 - 61*q**2 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/27*(-4)\/(-20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -g**5\/60 + g**4\/12 - 14*g**3\/3 + 34*g**2 + 2*g + 2. Let j(s) = 2*s**2 - 5*s + 55. Give 2*j(w) + 5*z(w).\nAnswer: -w**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -71*z**2 - 7*z - 11. Let n(r) = -35*r**2 - 4*r - 6. Determine 4*j(q) - 7*n(q).\nAnswer: -39*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -210*l**2 + 91. Let v(j) = -2 - 7*j**2 + 550*j - 550*j + 5. Calculate 6*f(p) - 182*v(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 643711 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + f = 0, 5*f + 1 + 3 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002937118 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-k**2 - 3 + 3)*(-2 + 1 - 1) + 4*k**2 - k**2 - 4*k**2 + 3 - 4*k**2 - 3 - k**2 - k**2 + 0*k**2)*(2 + 0 + 0 + 3*k).\nAnswer: -15*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -6*(sqrt(80)*-1)**2 + (sqrt(45) + 0 - (sqrt(250)\/sqrt(5))\/sqrt(10)).\nAnswer: -482 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*t*z**3 - 3*t*z**2 - 3*t - 3401*z**3 - z**2 + 2*z wrt z?\nAnswer: 30*t - 20406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/11)*(i\/i**(-4)*i)\/i*i**(-5\/2)*i**(-4\/3)*i**(-4)\/(i\/i**1)*(i\/i**(-1))**(-3\/4) assuming i is positive.\nAnswer: i**(-137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -174 + 67*d - 1228*d**3 - 69*d + 346*d**3 wrt d.\nAnswer: -5292*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50 + 52 - (0 + (18 + -2 - 0))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6323917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1478801, 2957784, 4436767, 5915750, 7394733?\n\"Answer: 1478983*c - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 44*c**3 - 2*c**2 + 3*c - 2. Suppose -10*l = -5*l - 5. Is w(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 28. Suppose 35*i - 377 = 78. Which is greater: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (337701\/(-182))\/(2\/8 - 1) is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1 + 420 + -58 + 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1657, 11 in descending order.\nAnswer: 11, 2, -1657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xixxixixisxxsxji. What is prob of sequence xi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 16*m**2 - 15*m - 9. Let w be k(15). Let c(i) = -13 - 35*i**2 + 0 + 34*i**2 - 14*i. Calculate the remainder when 94 is divided by c(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425601 is divided by 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 12*g - 3*g**2 + 8*g**2 + 11*g**2 + 107 - 2*g. What is the lowest common multiple of h(-17) and 154?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36*((-118944)\/1323 + 90)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-759)\/4554)\/((-4)\/((-16)\/(-6))).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of 0 + 0*r**5 - 2*r**2 + 0*r**4 - 29\/14*r**7 - 13\/6*r**3 + 0*r**6 + 62*r. What is the second derivative of h(c) wrt c?\nAnswer: -1740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10472 + 10472.5. Let i = 4828\/23 + -210. Which is the nearest to i?  (a) 3  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 27 = -5*b, -51 = -3*u + 8*u - 3*b. Let a be u\/(-1)*(-4)\/(-12). Let v be (a\/(-36)*-3)\/(4\/(-60)). Sort v, 8, 3, 1 in descending order.\nAnswer: 8, 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(2 - 16)\/7. Are m and 23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b51a91 (base 12) in base 9?\nAnswer: -11865341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 18*f**2 + 17*f + 25. Let x be t(-19). Suppose x + 11044 = 12*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-24))**0*(h**8*h*h*h)\/h**4 assuming h is positive.\nAnswer: h**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, e: 15}. What is prob of picking 4 e?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 2. Let r(a) = -4*a + 3*a - l*a - 2*a - 4. Let y(i) be the third derivative of -11*i**4\/24 - 3*i**3\/2 - i**2. Give -7*r(v) + 3*y(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -9 - ((-1640)\/135)\/(8\/4). Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 481553426.\nAnswer: 2, 15493, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3704229 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -p - r - 66, -5*r = 0. Let o = p + -11. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from {y: 3, c: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 184 + 202 = 111*g - 58. What is the closest to 1 in 5\/4, 1\/3, g, -3\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of p**6\/72 + 13*p**5\/12 + 845*p**4\/24 + 6*p**3 + 15*p**2. Let l(y) be the first derivative of u(y). Factor l(a).\nAnswer: 5*(a + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okokkkozkkkz. Give prob of sequence oko.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 432\/48*4\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + o. Let t be j(-2). Suppose 2*p + 2*b - 1 = 7, t*b - 11 = p. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -77812 to the nearest one thousand.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 3*q - 45. Let t be p(9). Suppose 3*k + 4*n - 1 = 0, -4*k - 3*n + t = k. Solve k*y + 0 - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 + 3*s**2 + 0*s**2)*(6*s - 4*s - 3*s) + 0*s**3 - 4*s**3 - 7*s**3 + (0 - 2 + 0)*(-5*s**3 + s**3 + 2*s**3).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.05, 26, 5, 2, 0.2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1264564 is divided by 30108.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -6. Let q = 14.2 - 5.9. Let l = q - 8. Sort 2\/5, j, l.\nAnswer: l, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 450 divide 2317950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 206\/25 + -2797\/300. Let u = g + 5\/4. Let j be -5*(0 + 4\/25). Which is the closest to 2\/3?  (a) 0.4  (b) j  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 754306981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0, 1\/4, 3, 215?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3295 = -16*m - 11775. Which is smaller: -531 or m?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -3*z**4\/2 + 5*z**2 + 5. What is the second derivative of w(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40490, 162115, 364810, 648575, 1013410, 1459315?\nAnswer: 1986290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 150 = -2*y - 3*y, 20 = -4*y. Let a = u - 33. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 10) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) -5  (c) 0.9  (d) 0.8  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 6) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -159a - -9?\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 20 = 5*a, 123657*r = 10*a + 123653*r + 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j, 25703 = -10*g + 6*g + 4*j + 79595. List the prime factors of g.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4191259691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4967 + -4951. Let p(o) be the first derivative of 0*o**4 + 11\/5*o**5 + 0*o**3 + y + 0*o - 10*o**2. Find the second derivative of p(h) wrt h.\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-500)\/(-40) + 27 + -40\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 7:55 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3750, 3602, 3332, 2934, 2402, 1730?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5230*r + 11444. Give j(2).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 322111 (base 4) to base 11\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -14817  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4014*b - 16166. Determine o(-4).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 - (-13 + -9 + 33).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -3 + -24 + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 48*x - 191. Calculate m(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 6:09 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2 = -2*u, -2*u + 1 + 2 = -r. Let o(y) = 6*y - 3*y**2 + 8*y**u - y**3 - 1 - 2. Suppose 3 = d + x, 5*d - 2*d + x - 15 = 0. Give o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 1. Suppose 62*b - 99*b = -74. Let x(g) = 20 - 9 - 3 - 5*g**2 + b*g. Determine 6*a(h) + x(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i + 4*i = -5*x, -3*x + 122*i = 159 + 140 + 58 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**3 + 5*x**3 + x**3 + (3*x + 5*x - 1 - 1)*((1 - 4 + 1)*(5*x**2 + 0*x**2 - 4*x**2) + 6*x**2 - 15*x + 15*x).\nAnswer: 35*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 + u**2 + 4*u**2)*(-47*u + 95*u - 21*u) + 0*u**3 - u**3 + 0*u**3.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 398*o + 239 - 222 - 396*o.\nAnswer: 2*o + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/18 + (-25)\/(-3). Suppose 2*d - s = -2. Suppose d*u - 2*u = -o - 1, o - 11 = 3*u. Let b(n) = 2*n**3 - 2*n**2 - n - 1. What is b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5838 - -5837.9. Let w = -4296\/19 + 226. Which is the nearest to -8?  (a) 3  (b) h  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -11120212?\nAnswer: 11120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -10*n**3 + n**2 + n. Let m be f(-1). Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + -37 + -1 + 3 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of 361*k**4\/6 - 63*k**3\/2 + 42*k**2. What is the derivative of m(v) wrt v?\nAnswer: 1444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + -12. Let w be (0 - 2)*4\/(-8). Let x(a) = 2*a**2 + w - 3*a**2 + a**3 - 3*a**2 - a**2. Determine x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1194 - 583. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 5*o**3 - 15*o**2 - 90*o = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 347*a - 7890. Calculate the remainder when o(37) is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1193 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -682 + 681. Is z <= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 980?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -273 - -278. Put -1, 1, -2, n in descending order.\nAnswer: n, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*i = -28 - 210 - 1330 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135300, -135299, -135298, -135297, -135296?\nAnswer: -135295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 223 + -151. Suppose 0 = 5*f - 227 + l. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 3621 = 51*m. Calculate the greatest common divisor of 213 and m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 30687611*i**2 + 55*i. Let p be t(-5). What is p rounded to the nearest 1000000?\nAnswer: 767000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 2. Let q be x(-3). Find the common denominator of (-95)\/52 + (-7 - -7) and (1*10 - q)*(-35)\/14.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/(-4) - 4) + 1 + -849. Let n = -402 - f. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 + -19517582\nAnswer: -19517581.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 27.53704um?\nAnswer: 0.00002753704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**5 - 3*x**5 + 2*x**3 - 6*x**3 + 4*x**5.\nAnswer: 4*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 + 109951*b - 59299678.\nAnswer: -(b - 109409)*(b - 542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6188420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 281733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 h when four letters picked without replacement from {m: 4, p: 4, e: 2, h: 3, o: 3, c: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0048 + -1.0048. What is the nearest to -1 in 3, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1118 + 683?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*m - 5*m + 30*m)*(-m**2 + 0 + 0)*(-3*m + 3*m - m).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 24*b**2 + 832*b - 19664. Determine p(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3*c = -4, 5*c = 5*n + 9 - 49. Let b be 50\/(-4)*(-7 + 5). Solve -l - b = n*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - u**2 + 14. Let t be 0\/((-2 + 3)\/(-1)). Let f = -11 + 21. Calculate the lowest common multiple of s(t) and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 8. Determine l(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + 8*a + 51 = p, -3974*a - 3958*a + 7919*a = 91 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -103*y**3 + 12*y**2 - 12*y + 1. Give o(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-7 - -2) - -3) + (-5 - -33).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Let y = p + -2. Suppose -2*v - v + 30 = y. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 0*u**2 + 5*u**2)*(19*u**3 + 0*u**3 - 2*u**3).\nAnswer: 34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -62 - -89. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 - 38 = 3*q - 3*g, 5*g = 2*q + 18 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -9, -33, -93, -201?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*l = -3*l - 33, -5*z = -5*l - 60. Let a = -19 - -24. Find the third derivative of z*h**2 - a*h**2 + h + 4*h**6 - h wrt h.\nAnswer: 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.11 and -2.3?\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 12264*q**2 - 49317*q**2 - 11478*q + 11478*q as s*q**2 + c + k*q and give s.\nAnswer: -37053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1004432201 (base 6) to base 5.\nAnswer: 10114043232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 2)*(-2236 - 2*i + 4388 - 2301).\nAnswer: 2*i + 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7861*l + 4272 wrt l.\nAnswer: -7861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from mhmmmmmmmmhmmhhmmmmm?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5686*x - 5686*x + 37*x**3)*(-3*x + 5*x - 3*x) - 5*x**4 + x**4 + 0*x**4.\nAnswer: -41*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*((-5)\/(-5) + 13). Let d = c + 4. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4331*p**3 + 284*p**2 + 284*p + 284. Let r(m) = 76*m**3 + 5*m**2 + 5*m + 5. What is -284*r(f) + 5*x(f)?\nAnswer: 71*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -324, -1649, -5254, -12279, -23864?\n\"Answer: -190*h**3 + 5*h - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + r. Let m(b) = -62*b + 22*b - b**2 - 18 + 25*b + b**3 - 14 + 15*b. Give m(r).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -222358.\nAnswer: 1\/222358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 37\/96 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 18*l + 32. Let z be x(-10). Let q = 150 + z. Which is the biggest value?  (a) q  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 times -8?\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*n + 72*n + 956 = 4335 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8517*d**2 - 9513*d wrt d.\nAnswer: 17034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -13\/11  (b) -0.5  (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of l**5\/60 - 6018*l**2. Let p(m) = -29*m**2. Determine 6*g(t) + p(t).\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -121*k**4 - 15031*k**3 - 507065*k**2 - 143648*k. Let i(v) = -30*v**4 - 3758*v**3 - 126766*v**2 - 35912*v. Let w(c) = 9*i(c) - 2*r(c). Factor w(q).\nAnswer: -4*q*(q + 67)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 597607162 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5 - 9712*d**4 + 11848514*d**3 - 141222084*d**2 + 528470712*d - 633537072 = 0.\nAnswer: 3, 6, 2422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54593.\nAnswer: 7, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13136 - 10528. Which is bigger: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003782037 to seven decimal places.\nAnswer: 0.0003782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 104 = -22*s + 24*s, -882*y + 878*y = -3*s - 153 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 2*o**2 + 6*o + 11. Let s be -2 + 1 - 4 - 0\/8. What is the smallest common multiple of g(s) and 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 14*x**2 - 900*x + 12595. Determine s(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y + 9*y**2 + 6 - 11 - 11*y**2. Let x be k(-3). Let p = -18 - x. What is the least common multiple of p and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 487*c**3 + 82302*c**2 - 164*c + 819. What is v(-169)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-6)*a\/a**(-5\/7)*((a*a\/(a\/(a*(a\/a**(8\/5))\/a*a))*a)\/a)\/(a\/(a*a\/(a*a*a*a**(-1)))) assuming a is positive.\nAnswer: a**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**1\/p)**(-2\/41))**(-37)*(p**(-2\/7))**1\/(p*p*p**0)**(-2\/107) assuming p is positive.\nAnswer: p**(-186\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -g**4 + 3*g**3 - 222*g + 818?\nAnswer: -4*g**3 + 9*g**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 615255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**2. Let y be ((0 - 0)\/(-1))\/2. Let s(n) be the second derivative of y*n**2 + n + 0 + 0*n**3 - 1\/12*n**4. Give s(d(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of w**6\/20 + 7*w**5\/60 + 31*w**3\/6 + 10*w**2. What is the derivative of m(s) wrt s?\nAnswer: 18*s**2 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 628*y**2 + 638*y**2 - 3*y - 1250*y**2 + 12 + 12.\nAnswer: 16*y**2 - 3*y + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 13.46, 1\/3, 5, 25\/4486?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 123191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 74 - 74. Let v(m) be the third derivative of l*m**5 + 0 + 0*m**4 + 0*m**3 - 4*m**2 + 1\/60*m**6 + 1\/105*m**7 + 0*m. Factor v(b).\nAnswer: 2*b**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 3:43 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 15 = 5*i, -c - 3*i = 2*c - 21. Let l be 4 + 0 - c\/1. Solve 2\/7 - 4\/7*y + 2\/7*y**l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**3 + 184*r**2 + 3351*r + 56. Determine v(-67).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 478*h - 435 = 449*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 370881\/133640 + -3\/13364. Let v be (1121960\/(-96))\/(3\/(-2)). Let h = -7797 + v. Calculate the common denominator of h and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 + -27. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*4*(1 + -1 + sqrt(3)).\nAnswer: -1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**2 + w + 1. Let n(u) = 493*u**2 + 6*u - 69. Let s(m) = 5*d(m) - n(m). Find the second derivative of s(k) wrt k.\nAnswer: -956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -4 + 1*sqrt(180) + sqrt(180)*1*-1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4507640*n**2 - 4009*n + 176 wrt n.\nAnswer: -9015280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 224384795 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 166296 and 70684?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 552.5 - 552.4977067. What is g rounded to 5 decimal places?\nAnswer: 0.00229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27173 less than 1.5182?\nAnswer: 27174.5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 4, 5*n + 223*c - 222*c + 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 452*m - 3. Let n be z(1). Let l be (-12)\/(-66) + n\/11. Let b = l + -41. Which is smaller: b or 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fmm when three letters picked without replacement from offfqqfqmrm?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -6*y**2 - 213*y - 1. Let o(w) = -23*w**2 - 853*w - 4. Calculate -15*l(z) + 4*o(z).\nAnswer: -2*z**2 - 217*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 120580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.00304cm to kilometers.\nAnswer: 0.0008100304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 28*g**3 + 63*g - 130. Let y be v(2). What is the greatest common divisor of y and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n**2 - 5. Let c(u) = -3*u**2 - 3 + 0*u**2 + 0*u**2. Give 5*c(l) - 3*m(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, m: 5, b: 3, h: 6}. Give prob of picking 2 h and 2 m.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 22*t. Let d(u) = 28*u**2. Give g(d(c)).\nAnswer: 616*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 50\/40 - (174\/(-24) + 3).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -289640 divided by 57928.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8\/3 - -41\/12. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**3 + j**2 - 86*j + 42. Calculate w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + sqrt(343)) - sqrt(343)*-2*-6.\nAnswer: -49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = o + x, 2*o + 8 = -28*x + 32*x. Solve 0 = -c - o - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + -1)*5\/(-10). Let m = 7 - x. Suppose 12*u - m*u = 172. 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 d(q) be the second derivative of -q**5\/90 + 2*q**4\/27 - q**3\/9 - 6*q. Let d(w) = 0. What is w?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 10*s**2 + 6*s + 3. Give x(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 25*f + 179. Calculate v(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 + -3 + 1)\/(-1). Let s be t\/4 + 104\/32. Sort 5, -4, s in ascending order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36396 is divided by 1654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 13090726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 890729800 rounded to the nearest one million?\nAnswer: 891000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(44\/(-198))\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 923 divide 3197272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 6*s + 5. Let a(c) = 12*c**2 - 1. What is y(a(r))?\nAnswer: 72*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1988145 equal to 1988146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 8, h: 2}. Give prob of sequence ttt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 8:43 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4 + (-144)\/42 + (-92)\/252 and 73\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -28, 1 in ascending order.\nAnswer: -28, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*w + 72*w + 46*w)*(-56*w**3 + 2*w - 2*w).\nAnswer: -4480*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187961057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**4 - 10258*y**3 - 14522562*y**2 + 1062429642*y + 10150000701948 = 0.\nAnswer: -1941, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 5 + (-1 - 3 + 5)*(-1 + 4 - 2))*(2*z**5 + 0*z**5 - 5*z**5) + (-3*z**5 - z**5 + 5*z**5)*(-1 - 2 + 2).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.605963 + -10.544. Let n = -0.062 + f. What is n rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67590286?\nAnswer: 2, 1321, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 4:42 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (160\/(-12))\/(-5)*3. Suppose 0 = -5*l - 5*a + 170, 3*l = n*l - 4*a - 143. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 5397*o - 10797. Let v be p(2). Let y(q) = -2*q - 2. Let j(i) be the second derivative of -i**4\/12 + i**3\/2 + 3*i**2\/2 + i. Calculate v*y(h) - 2*j(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24358 by -2.\nAnswer: -12179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 166530 and 14252406.\nAnswer: 926406390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3\/4)\/y*y*y\/(y*y**5))\/((y**14*y*y)\/(y\/y**7)))**(2\/7) assuming y is positive.\nAnswer: y**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2192682 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.24 + 4.15. Which is the closest to -2\/15?  (a) 0  (b) 0.5  (c) i  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 6:00 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4 = 2*l, 3*l - 30 = -3*g. Let j(s) = 7*s**2 - 31*s**3 + 3 - 21*s**3 - 26*s**3 - 7*s - 6 + 77*s**3. Determine j(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 40\/3 + 2\/3. Suppose -4*o + 26 + u = 0. Let h = o - 4. What is the highest common factor of h and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -13 + 9. What is the smallest value in 2\/7, m, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8027436779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*j = 2*l + 489, -487 = 5*l - j. Let z = 103 + l. What is the highest common divisor of z and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-4) - 2)*96\/40. Let w be (5 + (-42)\/9)\/((-1)\/i). Is 1\/w + 3*(-9143)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16764 and 2216?\nAnswer: 9287256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5 = -5*p, 5*p + 2*u - 3*u = 11. Solve 0 = -p*g + h - 11, -4*h - 19 = 4*g - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 138.638 - 0.\nAnswer: 138.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 590 and 84699338.\nAnswer: 423496690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3)*o)**(-1\/52))**(3\/19)\/((o**(-3)*o*(o**(-5)*o)\/o)\/(o*o**(-1))**(-45)) assuming o is positive.\nAnswer: o**(3457\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 1236 = -1908. Calculate the remainder when x is divided by 65.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -3. Let o = -13\/102 + -3365\/408. What is the common denominator of 62\/4 - (f - -1) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20364916 greater than 20364915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1*(c*(c\/(c\/(c\/(c**(2\/7)*c)))*c*c)\/c)\/c*c*c**(3\/7)*c**4)\/((c**(-2\/11)\/c)\/c*c\/(c\/(c**(-2\/5)*c))*c)**(-10) assuming c is positive.\nAnswer: c**(102\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1710 + -8566\/5. Is a >= -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, r: 4, k: 9, d: 3}. What is prob of sequence iird?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25317\/388*(-1164)\/873?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 658013 and 3799.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4808389*m + 1714986 with respect to m.\nAnswer: 4808389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4975, -10003, -15031, -20059, -25087?\n\"Answer: -5028*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-11 + (4 - -19))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*n - 520*f + 519*f + 10, n - 5*f - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -6*z + 177 + 182 - 300. Let t be f(9). Sort -4, t, 3, -1 in descending order.\nAnswer: t, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 25*v**2 - 77*v - 169. Determine x(28).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)\/(sqrt(100)\/sqrt(2)))\/(2*sqrt(300)*1) + 1)**2.\nAnswer: sqrt(17)\/50 + 10017\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b - b + 0 + 2*b + 0 + (3*b - b - 4*b)*(-1 + 4 - 1) - b + 2 - 2)*(-9*b + 9*b - 4*b**2).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 2*d + 16 = 0, -5*a + 6*d + 3471 = 3420 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -75a938 (base 14) to base 8\nAnswer: -17151266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -3*o**6\/80 + o**5\/120 - 2*o**4\/3 + 6*o. Let a(s) be the third derivative of l(s). Is 28 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 10) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -560 divided by 6?\nAnswer: -280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 755, 754, 757, 764, 775, 790, 809?\n\"Answer: 2*x**2 - 7*x + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 4*u - 2*f, -11 = -3*u + 2*u + 5*f. Solve k + 2*s = 2, -2*k = -s + u - 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23\/84 + -11\/21. Let q be (-1*(2 + 1))\/(-1). Suppose 0 = -q*m + 4*n + 9, -6 = 2*m - 4*m + n. What is the third biggest value in l, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 7:14 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 33*a**2 - 11*a - 556. Let d be g(32). Solve 16*u + 42*u - d = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 AM and 5:17 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, i: 2, r: 7}. Give prob of sequence ri.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -76*j*t**3*u**3 + 3*j*t**3*u**2*w - j*t**3*u**2 - 12*j*t*u**2 + 475*j*u**3*w**2 - 12*j*u*w + 2*t**3*u*w**2 + 2*t**2*w**2 wrt u?\nAnswer: -456*j*t**3 + 2850*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 1270.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/7*h - 4\/7*h**2 - 8\/7.\nAnswer: -4*(h - 2)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(8)*2*6).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8801 - -743. Suppose 30*s = 22*s + y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7982 + 5344 = 3*a. Let k = a + -17667\/4. What is the common denominator of k and ((-858)\/6)\/((-36)\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-10)*10\/(-4). Let n be 8\/3 - 2\/i. Determine g so that 0 - n*g**4 + 0*g + 0*g**2 - 2\/3*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/15  (b) -553  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -5*n**6\/12 + 6*n**5\/5 - 9*n**4\/8 + n**3\/3 - 4. Let j(f) = 0. What is f?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 581799 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -815, -1348, -1881, -2414, -2947?\nAnswer: -3480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((-5)\/(-25) - 0). Suppose 4*l - 109 + 32 = -3*t, -s*l + 104 = -4*t. Suppose 0 = 5*h + l - 100. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z. Let b(v) = 10*v**2 + 9*v. Let l(f) = -5*f**2 - 4*f. Let q(n) = 4*b(n) + 9*l(n). Determine q(s(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1360\/3 - 459. Which is greater: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g + 86. Calculate the remainder when k(36) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + d**2 - d + 9. Suppose 2*a = 2*y - 42, -379*y + 14 = -380*y - 4*a. What is the remainder when y is divided by x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.0306  (b) -3  (c) -1\/41  (d) 0.7  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*x**2 + 51 + 444*x - 440*x + 34 - 18 as i*x**2 + n*x + t and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 9:58 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1725.1 + 1597. Let m = 128 + z. Let k = 43 + -67. Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 1, l: 1, h: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-6))\/(616\/(-1344)). Factor y*o**2 - 18\/11*o + 4\/11.\nAnswer: 2*(o - 2)*(4*o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1478 and -4.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*n - 5*f, -19*f + 15*f = -3*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**4 - 2*s**3 - 2*s**2 + 0*s**4 + 0*s**4 - 2 as h + n*s + b*s**2 + i*s**4 + t*s**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/11 and -24602916 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20130658.\nAnswer: 2, 23, 499, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 + 14 + 16 + -39?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/5)\/((-126)\/(-90))*(1 + -2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*f - 3*f**2 - 30*f + 50*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35150, -140617, -316378, -562433, -878782?\nAnswer: -1265425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 42*l + 20. Suppose 4*m + 446 = 366. Let j be i(m). Solve 4*b = 19*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 0*q**2 + 16 + 2*q**4 - 3*q**2 + 7*q**3 - q + 2*q**2 to f*q**4 + i*q**2 + u*q**3 + o + b*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*b - 63 = j, 8*j - 10*b = -13*b - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -134055472 by 8656.\nAnswer: -15487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -25*q**3 - 2*q**2 + 5*q - 335. Is d(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5887, -23560, -53017, -94258, -147283, -212092, -288685?\nAnswer: -377062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 7 = 2*m, 25*m = 20*m - 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1981*h - 269664 = 7599*h for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/31)*b)**(3\/11)\/((b**4*b)\/(b*b**(5\/2))) assuming b is positive.\nAnswer: b**(-819\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2.9, 0.1, -0.4, 11, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1483.66 - 1360.774. Let a = -123 + v. What is a rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of f**3\/3 - 7*f**2\/2 - 9*f - 9. What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -3*n + 2. Let y be 1*6 - 1\/1. Suppose 4*m - 2 = -6, 0 = -4*w - 4*m + 16. Suppose -q = -w*k - 24, y*k - 3*k - q = -12. What is p(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -260, 713, 3508, 9049, 18260, 32065, 51388, 77153?\nAnswer: 110284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-258 - 314 - 94)*(3*o - 2*o - 2*o) - 6*o - 6 + 6 as d + i*o and give i.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 680 = -320. Calculate the least common multiple of 48 and 1\/(-3 + h\/165).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of 211*u**4\/8 + 607*u**3\/6 - 1231*u**2. What is the first derivative of o(q) wrt q?\nAnswer: 633","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -52 - -53. Let u(n) = -28*n**3 + n**2 - 2*n + 2. Let f be u(s). Let b = -24 - f. Solve -4*x + 5*x - 1 = k, -b*k = 4*x - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33321 + -10434?\nAnswer: -44155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 437\/24 + -91\/3. Find the common denominator of h and 69\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 1)*(-4 + 6 - 1)*(-2 - 3 + 2)*((4*r - 5*r + 3*r)*(-2 + 0 + 0) - 3*r - 2*r + r + 14 - 11*r - 14) in the form q + z*r and give z.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h - 46. Let i(u) = 67*u. Determine r(i(z)).\nAnswer: -67*z - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 60 + -7. Let m = j - 52.5. What is the second biggest value in m, -5, 2, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 113\/6 + -20. Let b be 265\/420 + 4\/14. Let d = m + b. Which is smaller: d or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 337982 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, -13, 43, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2*h + 3 + (2*h + 1 - 1)*(-5 + 3 + 0) + (-2*h + 3 - 3)*(8 + 7 + 8) in the form r*h + u and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(1 - (-3)\/3)\/(-2). Suppose 2*a = -v + 27, v - y*a + 4 - 23 = 0. Suppose 4 = x, x - v = -3*i + 14. Calculate the smallest common multiple of 2 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d490 (base 14) in base 16?\nAnswer: -25116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2275*y**2 - 500*y + 100. Let l(a) = -69*a**2 + 15*a - 3. What is -100*l(o) - 3*q(o)?\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, i: 8, r: 5}. What is prob of sequence rt?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 6*u - 37. Let j be d(7). Suppose -7*i = -4*i - j*p + 16, -3*p + 12 = -i. Solve -k + 5*k - 4 = -i*a, a = 3*k - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99645573.\nAnswer: 3, 33215191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -55\/27 + 254\/297. Let n = -19936552\/937 - -21277. Let t = 44045\/1874 + n. What is the common denominator of b and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*n = 15*n - 480 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hshmpphpphzsmphp. What is prob of picking 2 z and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 68*q + 409. Let x(r) = -422*r - 1694. Let z be x(-4). Determine f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 3:44 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*j - 2 + 2)*(-46*j + 43*j - 8 + 22) to the form w*j + m + i*j**2 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 3*i + 21 = -8*i, 0 = -i - 5. Suppose -b = -5 + g. Suppose -161 = d - 4*d + 4*p, 0 = 3*d + b*p - 169. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -6, -5, 6\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y**6\/3 - 2*y**3 - 9*y + 1. Let v(c) be the first derivative of i(c). Find the second derivative of v(f) wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2488, 11301, 25942, 46405, 72684, 104773, 142666?\nAnswer: 186357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**3\/3 + 2. Calculate the remainder when x(3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -6*n**3 - 7*n**2 + 177*n - 176. Determine l(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/7)\/((-33)\/(-539)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 4*c = 15, -5*c + 24 - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3928 = g - 2139. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t. Let v(g) = -9*g**2 + 9*g. Let a(k) = -16*k + 87. Let o be a(6). Give o*z(r) + v(r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3)*(-1 - 2*p + 1) + p + 2*p - 2*p - 1 + 2*p + 1 + (-2*p - 2*p + 3*p)*(2 - 3 + 0) + 2*p - 4 + 4 + p - p + p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-4)*-1*(-12)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1004194 rounded to the nearest 1000?\nAnswer: -1004000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 49637129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.4, -0.5, -75\/2 in ascending order.\nAnswer: -75\/2, -0.5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.06 - 8.06. Let j = p - -12. Let i = -7 + j. What is the closest to 0.2 in i, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 2*o**2 - 2*o**2)*(-1 + 2 - 2)*(3 - 3 + 3*o)*(3 + 3 - 3).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*p + 7 = 0, 2*g + 2*p + p - 1 = 0. Suppose 2*q - 4*w = -9*w + 13, -4*q - 14 = g*w. Is (-17)\/(q\/132*(0 + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.19 * 5.551\nAnswer: -1.05469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 15. Calculate the common denominator of -52\/5 and (-3)\/4 + 29\/s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 40*1\/8*26. Find the second derivative of v + 7*v - 21*v**4 - r*v wrt v.\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -31*q**4\/6 - 49*q**3\/3 + 93*q**2. Differentiate h(v) with respect to v.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + (1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 5*i + 9, -w - i + 3 = 2*w. Let r be w\/4 - (-36)\/(-40). Let m = 7 + -4. Which is the second smallest value?  (a) -0.5  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 88.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13 + 5312226?\nAnswer: 5312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*i**4 - 5*i**3 - i**2 - 27*i**4 + 2*i**2 + 18*i**4 to u*i + m*i**4 + t*i**3 + b*i**2 + s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -1929*u**2 + 260*u + 6. Let z(j) = -1928*j**2 + 262*j + 5. Let c(a) = -5*q(a) + 6*z(a). Find the second derivative of c(v) wrt v.\nAnswer: -3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 5778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 + x**2 - 2*x**2 - x**2 + x**2 + 2*x**2 + (x + 2*x - 5*x)*(2*x + 2 - 2) - 2*x**2 - 2*x**2 + 2*x**2 + (6*x**2 - 10*x**2 + 16*x**2)*(3 - 48 - 24).\nAnswer: -834*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 - -27. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4*n + 30 = 0. Suppose -4 + 5 = -y. Let s be y\/(-4) - (-85)\/(-20). Which is the nearest to s?  (a) 5  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 12:20 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q - 20 + 40 - 14 - 2*q. Let l be g(4). Factor 7\/6*p**l + 8\/3*p + 2\/3.\nAnswer: (p + 2)*(7*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -13*i**2 - 3. Let p(k) = 90*k**2 + 20. Let g(x) = 20*b(x) + 3*p(x). Let u(n) = 3*n. Calculate g(u(a)).\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 674 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-62)\/(-6) + 1\/(-3)*1. Solve -5*t - b = 0, -5*f - t + 4 = -3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 18*m. Let k(s) = 4*s + 17 - 8 + 0 - 9. Calculate q(k(w)).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-76)\/(-114))\/((-2)\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1827, -1806, -1771, -1722, -1659, -1582, -1491?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220*a*u**2 + 2*a*u + 54*a wrt u.\nAnswer: -440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6 = 2. Let h = -514 + 513.6. Sort y, h, -1 in ascending order.\nAnswer: -1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1255 + -12?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 0*t + 24. Let d = t - 19. Let g = 41 + d. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000831520446 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7, -8, -49, -128, -257, -448, -713?\n\"Answer: -2*i**3 - i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 109567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 6, 1022, -1 in descending order.\nAnswer: 1022, 6, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 3*y**2 - y + 2. Suppose b + 12 = -3*b. Let v be x(b). Which is bigger: v or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p**2 + 48*p - 7. Let f be l(16). Sort -1, 2, -3, f in descending order.\nAnswer: 2, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -17*w + 883. Determine s(50).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 12:22 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*r = -83, 2*d - r = d + 88. Factor -3*w**5 - 2*w**2 + 96*w**3 + 3*w**4 - d*w**3 + 0*w**4 - w**2.\nAnswer: -3*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 i, and 1 u when four letters picked without replacement from iujwb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 49858 times -3?\nAnswer: -149574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43666817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**2 + 123*f**2 - 27*f**2 + 85*f**2.\nAnswer: 184*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 11:26 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**4 + 2*h**3 - 2*h**3 + (-3 + 2 + 2)*(-2*h**4 + 0*h**4 + 3*h**4) - 2 + 3*h**4 + 2.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2763?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/428 and 101\/41978.\nAnswer: 8983292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 191 - (-9 - -5) - (-8)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 544 + -301. Suppose -b - 82 + x = 5*g, 4*b = 2*g - 82. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14329427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -99 - -1099?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -283112\/57 - -4967. Let k = -2549\/798 + h. Find the common denominator of (3\/16)\/(30\/(-205)) and k.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k - k + 2272 = 0. Suppose -2*m = 5*w - 153, -3*m - 5*w + k = 57. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9280758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 27. Let j be c(-23). Let b(z) be the first derivative of -3\/2*z**2 + 3 + z**3 + 5*z. Let f(i) = i**2 - i + 1. Calculate j*f(y) - b(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 - 14. Let i = 3 + -3. What is the units digit of 1\/(i + f\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240124.554 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21742 + -12019. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*m + 588 = 155*m - 93*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 4*h**2 + 5*h - 8. Let f be c(-5). Let i(l) = 3 + 18 - 2*l - 5*l**2 - l**3 - 33 - 3*l**2. Give i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 - (63 - 35) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/9 - (370785\/(-8721) + 43))*6.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 7*y**2 - 3*y - 14. Determine m(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**2\/5 - 15288*r\/5 = 0.\nAnswer: -5096, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 40 = -4. Let q(t) = 1810*t - 27148. Let k be q(15). Solve r - 6*m = -m - i, 0 = -2*r - k*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v = 12*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y + 2588*y**2 - 1276*y**2 - 1282*y**2 + 2*y**3 - 152.\nAnswer: 2*y**3 + 30*y**2 - 5*y - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 0*s + 20 = 0. Let y = 0 - -28. Let x = -28 + y. Solve s*d - d - 20 = x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**2*g)**22*g**(3\/4)\/g**(-4) assuming g is positive.\nAnswer: g**(283\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -467, -476, -485, -494, -503?\n\"Answer: -9*a - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -29165500 rounded to the nearest 100000?\nAnswer: -29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 60\/98857 and 37\/2983684.\nAnswer: 32820524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 0*v + 0 + 0*v**3 - 1\/12*v**4 + 54*v**2. Let h(r) = -12*r. Let q(s) = 4*s. Let c(f) = -5*h(f) - 14*q(f). Determine c(p(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/81)\/5)\/((-2)\/18)*12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 179392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 - m + 3. Let w be 4\/12 - (-11)\/3. Let i be p(w). Suppose 7*s - 5*t - i = 3*s, 37 = 2*s - 5*t. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1963, 1925, 1831, 1651, 1355?\n\"Answer: -5*i**3 + 2*i**2 - 9*i + 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0109 and -0.3?\nAnswer: 0.00327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38322*j**2 - 113195*j**2 + 17 - 17.\nAnswer: -74873*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0356 - -69.8644. Let q = -68.8546 - 1.1454. Let m = d + q. Are -16 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34954 is divided by 289?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 16*l**2 + 7*l + 4. Let m be u(-17). Let c(d) = 720*d**3 + 2*d**2 - 2*d + 1. Let n be c(1). Let g = n + m. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 47 = -2*k - z, -4*z - 12 = 0. Let g(o) = o**2 - 7*o + 6. Give g(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**5\/20 + 5*s**4\/8 - s**3 - 7*s**2. Let v be z(4). Let t = v - 0. Let c(q) = -q + 7. Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*d - 169 = 259 + 151 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llll when four letters picked without replacement from clllclcl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -20\/169?\nAnswer: -20\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -7*c + 8. Let z(y) be the third derivative of -y**4\/4 + 4*y**3\/3 + 336*y**2. What is -5*t(v) + 6*z(v)?\nAnswer: -v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 131 + -270. Let u = -2087\/15 - m. Is u smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 835 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**4 - 32*l**3 - 569*l**2 - 912*l + 8640 = 0. Calculate l.\nAnswer: -8, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/482835 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 101, 176, 179, 50, -271, -844?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + (-16)\/(-48)*(-1 + 2). Let c be 2\/(2 + 3 - 2). Let -c*j - 10\/3*j**3 + 16\/3*j**2 - b = 0. Calculate j.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 + 10948721276?\nAnswer: 10948721277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22022212021200 - 2?\nAnswer: -22022212021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.5 - 0.4. Let n = -1.3629 - -0.3629. Let p = -14 + 8. Which is the closest to z?  (a) n  (b) 3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32149*s**2 + 64349*s**2 - 32183*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 39 = 4*z + z, 0 = -z - 5. Let u = i - -5. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d**2. Let j(x) = 15 - 28 + 13 - 66*x. Determine j(q(y)).\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/15 - (-4)\/(-6). What is the nearest to n in -0.5, 5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -482.16 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 21a06ee + -2?\nAnswer: 21a06ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 4*r**2 + 2*r**2)*(r - r - 2*r**2).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 229 = 3*r + 36, -j = -r - 37. Suppose 2*a = 4*u - u + 73, -5*u - 71 = -2*a. Is a at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 + 66 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -370 by 74.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*v + 16979 = 0, 5*a - 4*v - 42453 = -2*v. Suppose 10192 = 7*m - a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1158 (base 16) to base 8.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 80. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2815153, 2815150, 2815145, 2815138?\n\"Answer: -f**2 + 2815154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 390648300?\nAnswer: 2, 3, 5, 7, 186023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.94 + -0.06. Suppose -2*o = -6 + 2. Suppose -o*t + 3 = t. Is t greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -39, -35, -33, -33, -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9708.3234 rounded to the nearest integer?\nAnswer: -9708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*u**3 + 245*u**3 - 10 - 203*u**3.\nAnswer: 5*u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 - w**2 - 42*w + 3. Let s be j(0). Which is the third biggest value?  (a) 1.6  (b) -15  (c) s  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 23*y**3 + 4*y**2 - 4*y. Let p(q) = 2*q**2 + 54*q + 307. Let g be p(-11). Let z(a) = -252*a**3 - 45*a**2 + 45*a. Give g*c(r) - 4*z(r).\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {q: 4, e: 4, d: 5, r: 6}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 648 + 1914. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 45*o**2. Let w(n) be the second derivative of 2*n**3 + n - 114. Give z(w(t)).\nAnswer: 6480*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -313 divided by 5370.\nAnswer: -313\/5370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -10*w**3 + 3*w - 1. Let q(s) = 18*s**3 - 5*s + 2. Calculate -5*q(g) - 8*y(g).\nAnswer: -10*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffsffsfvfzfzf. What is prob of sequence svs?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 1.1357496\nAnswer: 3.4072488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 9 = -2*w, 0*w + 9 = 3*w. Let v(c) = -2*c**2 + c + 16. Let r be v(s). Let m(t) = -2*t + 9. Calculate the remainder when 74 is divided by m(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-186)\/(-4) + (-107 - (-8600)\/80).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 29 + 1. Let f = n - 7. Let w be 11\/21 - 2\/f. Which is the nearest to 0?  (a) w  (b) 1\/3  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34774.\nAnswer: 2, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 138, 136, 134, 132?\n\"Answer: -2*k + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -33400 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*h**3 + 3*h - 25*h**3 - 3*h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 23.29 + -0.56\nAnswer: 22.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17735492623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -914671?\nAnswer: 914666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -135*c - 333. Let o be m(-11). Suppose 3*j = 3*t - 8*t + o, 0 = -5*j + 20. Does 45 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5498, 3, 1, -23, -4, 2 in descending order.\nAnswer: 3, 2, 1, -4, -23, -5498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1373946020?\nAnswer: 2, 5, 68697301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 269 = 3*x + 251, 0 = i + 2*x - 8220. Calculate the highest common factor of i and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34144 by 34144.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 1, -108 in increasing order.\nAnswer: -108, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 63424309 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2340\/(-980)*-7 + -17.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(0 + 1*-2). Let i be x\/(-5)*(-3)\/9. Let y = 10345 - 10346. Are i and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.0445  (b) 4\/5  (c) -5  (d) -564\/7  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*l + 90*l - 21*l - 8280 = -34*l for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -13  (c) -3\/38  (d) 0  (e) -0.05  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 12*t**2 - 229*t. Let n(i) = i**2 - 20*i. Let p(x) = -2*g(x) + 23*n(x). Let z = 20 - 11. Let u be (-2)\/2*(z - 11). Determine p(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -u**4\/54 + 73*u**3\/27 + 74*u**2\/9 - 389*u. Let p(j) = 0. Calculate j.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5\/7 + 1402*u**4\/7 - 11462*u**3\/7 - 11974*u**2 - 110604*u\/7 = 0. Calculate u.\nAnswer: -709, -3, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7327 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -12*((-2)\/(-4))\/(-1). Suppose n + n = v*n. Solve a + 3 - 5 = n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-2))\/((-2)\/(-4)). Let u(d) = 2*d + 3*d + 3*d - b*d + 1. Give u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/920)\/((-84)\/40*(-18)\/(-42)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42.8 - -143.66. Let x = a + -100. Let v = 0.14 + x. Is -1\/11 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -632, 261 in decreasing order.\nAnswer: 261, 2, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 91200 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*b - 17*b + 5240 = 0. Which is greater: -523 or b?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -184, -157, -144, -151, -184?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -37*z**3 + z**2 + 2*z + 1. Let q(n) = n**2 - 2. Let k be q(-2). Let x be h(k). Let c = 2012\/7 + x. What is the closest to -2\/7 in -0.3, c, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11022221 (base 3) to base 5.\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4773438253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -14*r**3 - r**2 + 2*r + 2. Let v(q) = q**3 + q**2 - q. Give l(g) + v(g).\nAnswer: -13*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 62*a - 2*a + 276*a as i + v*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**3 + 14*o**2 + 310*o + 7 - 4*o**2 - 2*o**3 - 2.\nAnswer: -4*o**3 + 10*o**2 + 310*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 788688253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/9)\/(2\/12). Suppose -4*q = -5*n - 4, -u*n + q = 3*n + 1. Solve n = 5*y - 9 - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64068 is divided by 2785.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 10:38 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33901 is divided by 11292?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0006059958 rounded to seven decimal places?\nAnswer: -0.000606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-78610)\/28)\/(8\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141.61976 take away -81.7237?\nAnswer: 223.34346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**2 + 2*r - 1. Let b(a) = -a - 2. Let z be b(-3). Let j be l(z). Solve 3*x - x + 13 = j*w, 4*w = x + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 34*b**2 + 284*b + 5. Let v be m(-19). What is the greatest common factor of 648 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/9)\/(4\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -1787.\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -h + 118. Suppose 3*b + 37 = 154. Let o = b + -19. What is the remainder when h is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -51*y**3 - 3*y - 1. What are the prime factors of x(-2)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6209 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 10*f + 6. Let s be 424\/(-88) - (-4)\/(-22). Let i(k) = 11*k + 7. Give s*r(v) + 4*i(v).\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2134107 is divided by 518.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**2 + 3*d - 27. Let k(a) = -2*a**2 + a. What is 4*k(f) - q(f)?\nAnswer: -4*f**2 + f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6765.390167 rounded to the nearest integer?\nAnswer: -6765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**4 + 4*z**4 - z**4 + (4 + 5 - 5)*(72*z**4 + 80*z**4 - 155*z**4) to the form p*z**4 + n*z + h*z**3 + u + i*z**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -14*v - 10 - 13*v + 28*v - 1. Let l(i) = -2*i - 3. Let t be l(-6). Let g be z(t). Is -1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 9*y + 21. Give q(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7, 1 in ascending order.\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 + 532*j - 967605.\nAnswer: (j - 753)*(j + 1285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318507.\nAnswer: 3, 7, 29, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4509.4869 minutes in days?\nAnswer: 3.131588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2 + ((sqrt(170)*4)\/sqrt(10) + sqrt(17))*-3 - (1*sqrt(4896))\/(sqrt(2) - 5*sqrt(12)\/sqrt(6))))**2.\nAnswer: -168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*i**3 - 2*i + 8*i**2 + 4*i**3 - i**2 to the form k*i**3 + j + c*i + u*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2540\/3 - 847. Which is the second biggest value?  (a) p  (b) -0.2  (c) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7.8 and 3.8385.\nAnswer: -3.9615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -979, 15, -3.\nAnswer: -979, -3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**3\/3 + 8*p + 2. Suppose 2*x + 2*x = 20. Suppose -40 = -x*h - 5. Let v(r) = r**2 + 7. Determine h*v(b) - 6*g(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (47 - (-6 + 70)) + 20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 408, 1630, 3658, 6486, 10108, 14518, 19710, 25678?\n\"Answer: -f**3 + 409*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 24 = -4*j + 3*j, -4*f - 5*j + 54 = 0. What is the least common multiple of (-1910)\/(-66) - (-270)\/4455 and f?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 56*c - 688. Determine p(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306 = -149*y + 158*y. Suppose -y*f + 14*f - 80 = 0. Which is the second biggest value?  (a) -1\/2  (b) -0.034  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 1 + 0 + 14*h**2 - 3*h**2. Let j be 6\/4*(-184)\/(-138). Suppose j*m + 5*g + 12 = -0*g, -3*g = m + 7. Give f(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -4*t**4 - 44472*t**3 - 3093988*t**2 - 6054576*t - 3005056 = 0?\nAnswer: -11048, -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -7*r + 1. Let p be k(-7). Suppose -2*h + 40 = -2*u, -4*u = 2*h - u - p. Calculate the lowest common multiple of 12 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21509 and 3151.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2064860 divided by -516215.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8349 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 11\/3*t**4 + 0*t**2 - 179\/20*t**5 + 0*t**3 + 0 - 18*t. What is the third derivative of n(g) wrt g?\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5*v - 2575 = -5*l, -l - v = -643. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + 0*t + 5*t)*(64 + 503*t + 505*t - 1006*t).\nAnswer: 2*t**2 + 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 204420?\nAnswer: 204420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -868*s + 42*s**2 + 868*s + (6*s - s - 3*s)*(2*s + 2*s - 6*s) + 2*s**2 - 4 + 3*s**2 - 3*s**2.\nAnswer: 40*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/(-18))\/(2\/9). What is the remainder when 1 + 2 + 15 + p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -12, 0.2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 5*q**2 + q + 13. Let u = 43 - 47. Is g(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(4\/(-1) - (22 - 4095\/156))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 9 = -m + 8, 5*m = -3*x + 81. Let z = 1 - m. Let p be ((-2)\/(-5))\/(z\/(-10)). Which is the third smallest value?  (a) p  (b) 0.1  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 333354.9 centuries to months.\nAnswer: 400025880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16121 is divided by 89.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -190 + 315. Let g = 125.0424 - q. What is g rounded to three dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v. Let j be (-16)\/6*(-18)\/8. Let a(k) = -14*k + 6. Let h(y) = 155*y - 65. Let f(r) = j*h(r) + 65*a(r). What is f(b(x))?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4978 + -44867\/9. Let w = -26\/33 + -28\/11. What is the common denominator of w and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 22 = 2. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*i**2 + 56*i**2 + 72*i**2 to c*i + q + o*i**2 and give o.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 57044 (base 10) in base 12?\nAnswer: 29018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + z + 4. Let g be p(-4). Let u be (-4)\/14 + g\/(-7). Suppose -2\/5*c + 0*c**u + 0 + 2\/5*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186626809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45114.9 - -42338. Let z = -2897 - j. Let i = z + 120. What is the biggest value in i, -0.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206183 by -408.\nAnswer: -206183\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4349 minus -63?\nAnswer: 4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 380 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 205741583 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/16)\/(99\/(-594)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of -d**6\/30 - d**5\/30 + 6*d**2. Find the third derivative of l(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007153194 to seven decimal places.\nAnswer: -0.0000715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -1.0188?\nAnswer: 12.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 2:47 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 + -57. Sort 3\/44, -1\/3, p, -1 in increasing order.\nAnswer: -1, -1\/3, 3\/44, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 2 + 0)*31. Suppose z = t - 15. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21 + (-59)\/12 + 14\/(-168). Solve -t*o - 10 = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 182 * -527.\nAnswer: -95914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(-7)\/d)\/(d**(4\/3)\/d))**26 assuming d is positive.\nAnswer: d**(-494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1680*y**2 + 838*y**2 + 2*y**3 + 842*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1776 and 555.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 268635569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 364815 by -991.\nAnswer: -364815\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, p: 4, h: 2}. Give prob of picking 2 h and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -b - b. Suppose -13*s - 3*f = -14*s + 2, -4*s + f = 3. What is the least common multiple of (4\/(-14))\/(s + b\/(-21)) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - r + 3)*(-r + 4 - 4 + r + 2 - 2 + (2 - 6 + 2)*(11 + 2*r - 11)) to l*r**2 + x + g*r and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*j**2 + 1745*j**3 - 1531*j**3 - 52*j**2 + 164*j**2 - 55*j**2.\nAnswer: 214*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from offwyffof. Give prob of picking 1 o and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -6*(-4 + 5 + (sqrt(1053) + -1)**2 + -3 + 0).\nAnswer: -6307 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2487*n*s**2 + 2*n + 3*s**3 - 1848 wrt s?\nAnswer: 4974*n*s + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*a**3 + 11*a**3 + 3*a**4 - a)*(-1 + 1 + 1 + (-2 + 4 - 1)*(-2 + 2 - 1) + 517 + 830 + 492).\nAnswer: 5517*a**4 - 1839*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.39, 0.044, -2253, -4\/5, -0.5 in decreasing order.\nAnswer: 0.39, 0.044, -0.5, -4\/5, -2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.49 + -0.09. Suppose 0*y - 2*u = 3*y, -3*y - 4*u = 0. Which is the nearest to 0?  (a) x  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3103 (base 4) to base 8\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 6 + (-3 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 275 - 279. Which is the biggest value?  (a) 18  (b) f  (c) 2\/9  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -5\/849777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2*(-15)\/150)\/((-8)\/6 - -1). Let t = -0.2 - -1.2. What is the smallest value in i, -2\/17, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-53)\/((1 - -5)\/6) + 2. Are -576\/11 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*c - 58 = 307*c + 3*y, 0 = -c + y + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**3 - 3*z**2 + z. Suppose 4*a - 22 + 2 = 0. Suppose -2 = a*m + 28. Let h = 8 + m. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/18)\/((-108)\/2916).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d*k**2*l - 821*d*l**2*w - 3649*d*w - 3*k**2*l**2 - 2*k**2*l + 4*k*l*w**3 + 26*l**2*w**3 wrt l.\nAnswer: -1642*d*w - 6*k**2 + 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/4 + 3\/20. Put -3, -2, w in ascending order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 11:26 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u + 72*p - 76*p + 84, 24 = u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 0) + 4 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.13 + -2.53. Let h = c - -5.44. Let f = -3.0094 + h. What is f rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.083*-155.596.\nAnswer: -12.914468","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2378784?\nAnswer: 2, 3, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.9 times 0.3?\nAnswer: -6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1303259 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + 1 + 4 - sqrt(539))**2 + 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004671316 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/177 in 0.5, -2\/21, -17, 41?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*q, 3*h + 2*h + 3*q = -37. Calculate the least common multiple of h\/((-320)\/24) - (-714)\/16 and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*r - 3. Suppose 5*w - 139 = 4*s + 128, 3*s - 116 = -r*w. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81998 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**4 - 438*a**3 - 9*a**2 + 1308*a + 876 = 0.\nAnswer: -1, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 705, 668, 607, 522, 413?\n\"Answer: -12*r**2 - r + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.595 - -1.15252.\nAnswer: 7.74752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6294 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -232*g**2 - 236*g**2 - 306*g**2 + 77*g**2 - 250*g**2 in the form j*g**2 + h*g + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 1:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2)**19\/(c**(2\/3)*c*c)**35)\/(c**(-2\/33)*c**(-13))**(-22) assuming c is positive.\nAnswer: c**(-1028\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from osddho. Give prob of sequence dodh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-6)*(1 + (-68)\/60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6544 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 - 66. Let r = -1.43 - -1.83. What is the second biggest value in n, r, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35575*f**4 + 244*f**3 - 7657609*f**2?\nAnswer: -853800*f + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -432 - -431. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.2, 2, 0.1165356?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19*((-128)\/304)\/(36\/(-45)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 0.018.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 15 = -0*d. Suppose 2*k + 0*k - 22 = 3*q, -2*q = d*k - 7. What is the second derivative of 7*s**5 - 2*s**k - 6*s**5 + 3*s wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -6*u**3 - 2*u**2 + 5*u. Suppose c = -j + 4, -4*c + j + 10 = -3*c. Let h(n) = 9*n - 4*n**3 - 3*n**2 - 4*n**3 - n**3 - 2*n**3. Give c*y(q) - 4*h(q).\nAnswer: 2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1184670 and 42?\nAnswer: 8292690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 50 + 15)*(2 + 3 - 2)*(z**2 - 7*z**2 + 3*z**2) as s*z + b*z**2 + k and give b.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 5*i + 5. Let n(r) = -3*r - 1. Let b be n(-1). Let w be k(b). Let d(h) = -6*h + 1. What is d(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -2*v + 6, 45*v - 135 = -15103*j + 15101*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 3\/12361?\nAnswer: 3\/12361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45153 is divided by 15030?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.1 - -1. Let p = -0.152 + -84.848. Let s = p - -86. What is the third biggest value in -0.3, s, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 31*j - 182. Give s(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, l: 1, v: 4, a: 2, s: 3}. What is prob of picking 1 z, 1 s, and 1 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ahbbwboebhha. Give prob of sequence bwhe.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + w - 27. What is u(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {g: 3, y: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 140 = 9*z. Suppose -16*a + z = -11*a. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -312 by 104.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -20438064 divided by -1703172\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 50 = -22*q. Find h, given that -114*h + h**q + 82 - 50 + 6*h**2 = 0.\nAnswer: 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 5*h + 1. Let b be p(2). Solve 5 = -a - s, 4*s - 3*s = 3*a + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*m + m**3 + 0*m - 6*m**3 + 7*m**3 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 144356 * 65.\nAnswer: 9383140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 5 = -5*x, 3*b = 2*x + 3*x - 30. Let k be -1 + 0 + (x - -1). Solve -16 = k*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 10*r**3 - 33*r**2 - 4. Let p(f) = 283*f**3 + 391*f**3 - 681*f**3 + 22*f**2 + 3. What is 5*b(k) + 7*p(k)?\nAnswer: k**3 - 11*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 14 = -5*s, 4*s - 81994*b = -81991*b + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8091*a + 2808*a - 1531*a - 864*a.\nAnswer: 8504*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5136?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -1020003?\nAnswer: 1020013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 221, 225, 227, 221, 201, 161, 95, -3?\n\"Answer: -d**3 + 5*d**2 - 4*d + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -48*x**2 + 2. Let b be d(1). Let c = b + 52. Suppose 56 + 10 = c*y. Which is greater: 13 or y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**2. Let l(v) = -11*v**2 + 23. Let m(g) = -26*g**2 + 46. Let p(u) = -5*l(u) + 2*m(u). Determine p(h(y)).\nAnswer: 12*y**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333 is divided by 1193?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/83930496 - 6912026077\/1762540416. Let g = y - 1\/63. What is the common denominator of g and 17\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, 2, -24, 36\/13 in descending order.\nAnswer: 36\/13, 2, -4\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 41*n**5 + 294*n**4 + 8*n**3 - 294*n**2 - 49*n = 0.\nAnswer: -7, -1, -7\/41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46725*b*g**3 - 29*b*g - 5*b + 4*g**3 + 2*g**2 - g - 11617 wrt g?\nAnswer: -280350*b*g + 24*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 3*l + 4. Let n(m) = -m**3 - 4*m + 5. Suppose -2*x + 55 = 3*x. Let p(f) = -f. Let i be p(x). Let q = i - -15. Determine q*n(u) - 5*a(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12616, 6, 1 in increasing order.\nAnswer: -12616, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - c + 8 = 0, 3*a - 3*c + 6 = -2*c. Let v = a - -5. Suppose -r = 2*r - v. Let x(b) = 3*b**3 + 2*b. Let z(p) = p**3 - 1. What is r*z(k) - x(k)?\nAnswer: -2*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 take away 0.3?\nAnswer: 557.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t. Let b(z) = -81*z. Determine b(k(u)).\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5.3 * 58115.55\nAnswer: 308012.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**2 + 2*z**5 - 3*z**2 + 2*z**4 + 5*z**2 - 1017*z + 1017*z + 50*z**5 - 2 + 2 - 2*z**5 + (-2*z**5 + 3*z**5 + z**5)*(-1 - 2 + 2).\nAnswer: 48*z**5 + 2*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-10) + 528\/(-55). What is the hundreds digit of (-4)\/(-20) + (-1038)\/f + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14925958 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 63 = i, 4*i - 14 - 4 = -2*n. Let a = -14 + n. Is 2\/3 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260 = 10*d, 0 = -x + 3*d + 38 + 41 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**5 + 2631*k**4 - 730074*k**3 + 64458048*k**2 - 959151648*k + 1666269696 = 0. What is k?\nAnswer: 2, 16, 131, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, 12, -3\/527 in decreasing order.\nAnswer: 12, -3\/527, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 17) + 88 + -38.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4268 or 4274?\nAnswer: 4268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a - 25*a = -20. Let v = 12 - a. Suppose -v*r = 3*r - 575. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 430508*n**2 - 143501*n**2 - 135*n - 143503*n**2 - 143505*n**2.\nAnswer: -n**2 - 135*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43371260 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f**(-5)*f)\/f)*f*f\/f**(-9)*f)**12\/(f**(-2\/3)*f**(1\/5)*(f**(2\/7))**(-1\/12)) assuming f is positive.\nAnswer: f**(45463\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -2\/5, -2\/89, 0.975, -4 in increasing order.\nAnswer: -4, -2\/5, -0.3, -2\/89, 0.975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2.6  (b) 5  (c) 0  (d) -1\/5  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 - 39 = 4*k + 6*q, 5*q = -4*k + 84 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of 41*h**10\/5040 + h**6\/36 - 3*h**3 + 4*h. Let s(z) be the second derivative of i(z). Find the third derivative of s(l) wrt l.\nAnswer: 4920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, q: 17}. Give prob of picking 2 q.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163776*m - 163746*m = 1860 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/41 > 419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-5)\/o)*o\/(o\/o**(-2\/5))*o)\/((o**(-3)*o*o)\/o**(1\/5)) assuming o is positive.\nAnswer: o**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -21*f - 1224. Let z(p) = 35*p. Calculate c(z(v)).\nAnswer: -735*v - 1224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) + -3*sqrt(104)*6)\/(4*sqrt(8)*-6))**2 + -3*(sqrt(52) + -1 + ((sqrt(13) - sqrt(52)) + sqrt(13))*6)**2.\nAnswer: -87827\/576 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -74920, -146652, -218382, -290110, -361836, -433560?\n\"Answer: o**2 - 71735*o - 3186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 758480?\nAnswer: 2, 5, 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 2008865617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7419004, 14837945, 22256884, 29675821, 37094756?\n\"Answer: -u**2 + 7418944*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b1 - 4?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/29868 and -77\/6288?\nAnswer: 119472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 11, j: 9}. What is prob of sequence mmmm?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -68266 - -43006. Is (-18)\/(-4) - u\/40 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41618332?\nAnswer: 2, 7, 389, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3073 or 898?\nAnswer: 3073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 5*t**2 + 42*t + 22. Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 (base 7) in base 13?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29, 44, 39, 14?\n\"Answer: -10*l**2 + 45*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 42*n**2 - 74\/5*n**3 + 8\/5*n**4 - 208\/5*n + 8 = 0.\nAnswer: 1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*q**6 + 1652*q**5 + q**4 - 11*q**2 + 104*q - 9.\nAnswer: 1200*q**3 + 99120*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 5 + 91896\/(-48892). Let q = t + -2\/719. Which is the second biggest value?  (a) -2  (b) -5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -66  (c) 0.0983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 19, -0.1, -80, 4?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**2 - 4*z + 3. Let s = 5 - 3. Let i be c(s). Solve m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 + -14. Factor -7*j - 2*j**2 - 2 + 3*j**w + 8*j.\nAnswer: (j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1406 - 394. What is the highest common divisor of 92 and h?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -0.007.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -652, -14.9, -0.4 in decreasing order.\nAnswer: -0.4, -14.9, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 52691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 0. Let t = 49 + s. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16679 divided by 1\nAnswer: -16679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 685, 5, 0.0645, -1, -9.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 176423 = i + 17582, 3*i = 5*t - 323335. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*d = 49*d - 896 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 31699*k**2 - 63428*k + 4. Calculate m(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -13, 0.3, -49?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.04, -5, -4\/7, 1\/14, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.009 and -10.03?\nAnswer: -0.09027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 116\/(153816\/306)*28\/3. Factor -10\/13*o + 16\/13*o**2 - 2\/13*o**3 - q.\nAnswer: -2*(o - 7)*(o - 2)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/728 + 281\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -5\/16  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**4\/4 + z**3\/6 + z**2\/2 - 3*z - 12. Let n(u) be the first derivative of q(u). List the prime factors of n(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14001644.\nAnswer: 2, 59, 79, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 43*c**2 + 15*c - 80. Suppose 2*s - 10*s + 32 = 0. What is the hundreds digit of p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58469 + 63086 = 35*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 17 + 11 + -11 - (7 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5946, -5701, -5456, -5211, -4966?\nAnswer: -4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 62\/16 + 4\/2. Let q = 81814 - 81807. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1404 + -1404.3. What is the third biggest value in j, 4\/7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, l: 3, x: 8, m: 1}. What is prob of sequence vv?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 3)*(-2 + 4 - 2*l + 1 + l - 5*l + 2*l + (-3 - 2 + 6)*(3 - 3 - 11*l) + 4*l - 4*l - l) to d + k*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.9 in 1\/4, -5, 75?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -8*p**3 - 13*p**2 + 13*p + 15. Let m(l) be the second derivative of -l**5\/5 - l**4\/2 + l**3 + 7*l**2\/2 - 50*l - 2. Calculate 13*m(f) - 6*o(f).\nAnswer: -4*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1719620)\/(-21) - (-101)\/303.\nAnswer: 13, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zuuzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.155 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 98 = -113. Suppose 3*u + 3*g - 39 = 0, -3*u + o*u + 5*g = 20. What is the greatest common divisor of u and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 124 + -125.43. Round d to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 928 + -487. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 - 9*j + 56. Suppose -n - n = -34. Let c be s(n). What is the tens digit of c*(5 - 12\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3, 2\/11, 158?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 39937 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 50*w**2. Let u(h) = -3*h + 2. Let t(g) = 12*g - 9. Let n(o) = 2*t(o) + 9*u(o). Calculate n(c(m)).\nAnswer: -150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*4\/36*-6 + -1*(-68 + 7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**3 + 4*h**2 + 2*h + 2. Suppose 5 - 9 = -4*v. Let m(n) = -96*n + 94*n - 3 - 3*n**2 + v - 2*n**3. What is -3*g(s) - 4*m(s)?\nAnswer: 2*s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-6 + 4) + 46. Let v = z + -45. Suppose v*c + 12 = c. What is the highest common divisor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*m - 16042 = 21078. Calculate the greatest common factor of 80 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 t when three letters picked without replacement from {t: 4, o: 3, e: 1, l: 10, m: 1}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10305, 20601, 30887, 41157, 51405, 61625?\n\"Answer: -t**3 + t**2 + 10300*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -1325*s + 558. What is the units digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 0 + sqrt(12)\/sqrt(4).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 e when three letters picked without replacement from xsabajbxssaaexb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*l - 439 + 285, 1144 = 4*l + 15*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 998102 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 367812962*o**3 - 4*o**2 - 12921655 wrt o?\nAnswer: 2206877772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 567*u**2 + 20*u - 15. Let l(f) = 189*f**2 + 7*f - 5. Let v(r) = 6*g(r) - 17*l(r). Let n be (-1)\/(2 - (-5)\/(-3)). Is v(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/16*(-8)\/(-4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooogbsggbogbbbssubb. Give prob of sequence os.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11761?\nAnswer: 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3)\/(((-8964)\/(-648))\/(-83)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-85)\/27 + 1)\/(6230\/(-1335)) and (130\/(-44))\/((-21)\/6).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95, -3, -4, 4 in descending order.\nAnswer: 95, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 49*d + 19. Let l(f) = 25*f + 9. Let n(g) = -13*l(g) + 6*q(g). Is n(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**3*x**3 - 219*b**3 + 227*b**2*x**2 - x**3 wrt b.\nAnswer: -6*x**3 - 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/((-15)\/20)*-597?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -6. Which is bigger: b or 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 523122*q**4 + 748469*q.\nAnswer: 6277464*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -197 - -197.235. Let j = 0.23499345 - n. Round j to seven dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8053 - -8050. Put 3, 931, v, 4 in increasing order.\nAnswer: v, 3, 4, 931","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-77180 - o**3 + 74876 - 4*o**3)*(2*o - 2*o + 2*o**2).\nAnswer: -10*o**5 - 4608*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133118800, -133118812, -133118828, -133118848?\nAnswer: -133118872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -195*g**2 - 27*g**4 - 30 - 157*g**2 + 424*g**2. Find the second derivative of c(r) wrt r.\nAnswer: -648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 142 in descending order.\nAnswer: 142, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**0)\/a)**(3\/2))**(-2\/45) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/150429 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 5:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 869, 988, 1117, 1262, 1429, 1624, 1853?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 16 = 3*m - 0, 5*m = 3*x. Solve s = -5*p + x*s + 32, 4*s = p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 52556*w + 146851*w - 1.\nAnswer: 199407*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4503030 (base 8) in base 10?\nAnswer: -1213976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g*g**(-4\/3))\/g*g*g)\/(g\/(g*g\/g**(-1\/3)))*g**(-3)\/((g*g**0)\/g))\/((g**(-4\/5)\/(g*g**5))\/(g**(-5)*g**(3\/4))) assuming g is positive.\nAnswer: g**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000067681 to 7 decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -44) + (-668 - -654)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/45*15\/10. Factor 4\/5*g + 1\/5*g**2 - 4\/5*g**3 - y.\nAnswer: -(g - 1)*(g + 1)*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 61420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -i**7\/525 + i**6\/150 + i**5\/150 - i**4\/30 + 33*i**2. Suppose l(y) = 0. Calculate y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 43 - 38. Let p(d) = d + 1. Let a be p(3). Solve j + 10 - a = -3*k, -10 = j + t*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9b9 - -4?\nAnswer: -9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -426004000 rounded to the nearest one million?\nAnswer: -426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -13. Let r(b) = -b - 1. Let i(h) = j(h) + 4*r(h). List the prime factors of i(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 640969.7 meters in millimeters?\nAnswer: 640969700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1318083 + 1280*o + 1317390 + 1689*o wrt o.\nAnswer: 2969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**2. Let f(m) = -4*m**2 + 193. What is f(c(r))?\nAnswer: -16*r**4 + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d**2 + d + 6. Let x be m(-3). Suppose 3*h - x = -4*q, 4 = -2*q - h + 21. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 0, -80, 2, 12.\nAnswer: -80, -5, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 1)\/((-8)\/(-84)). Let z(c) = -14*c**2 - 21*c. Let i(b) = -b**2 - b. Determine l*i(t) + z(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of -53.39 and 0.3.\nAnswer: -53.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x = -5691 - 4059. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25 - 86*f + 25 + (0 + 2 - 3)*(-5 + 5 - 2*f).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) -0.2  (c) 47  (d) 0.1  (e) 3  (f) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and -999155910810?\nAnswer: 999155910811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -8*o**2 - o. Let c be (-4)\/32*-2*(4 - -40). Let r(i) = i + 5. Let v be r(8). Let g(t) = -v*t**2 + 32*t**2 - 16*t**2. Determine c*g(x) + 4*b(x).\nAnswer: x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3419 and 105462211.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 7*i**2 - 8*i + 5. Let j be s(8). Suppose -65 = -3*f - m + 2*m, -j = m. Suppose k + 20 = f. Sort k, -3, -10.\nAnswer: -10, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -198 + 349. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*a + 6, 4 = -2*a - 4. Let l = 35 - 32. Suppose -n + 7 = l*t, -n + 14 = 2*n + h*t. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -11. Suppose 6 = 2*w - 0. Suppose -w*m + 4*s = 0, 3*s = 2*m - s. Sort -2, f, m in ascending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 45*((-56)\/(-12) + -5). Put 2, -4, s, 4 in decreasing order.\nAnswer: 4, 2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - g**4\/3 - 3*g**3\/2 - g**2. Let w be v(-6). Suppose w*a + 2*a - 80 = 0. Solve t + a = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-1))\/((-333)\/2997). What is the second smallest value in 5, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2. Let o(u) be the second derivative of 1\/30*u**5 + 0 + u**2 + 2*u + 0*u**4 + 0*u**3. Let m(s) be the first derivative of o(s). Give m(y(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 756 = 726 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 243149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/1248 and 105\/2948192?\nAnswer: 8844576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d*d\/(d\/(d**(-15)\/d)*d)*d*d\/(d\/d**18) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(540) - (sqrt(540)*-1 + sqrt(540)) - sqrt(540))\/(sqrt(12)\/(sqrt(18)\/sqrt(3))))\/(sqrt(6)*-3*-6 - -4*sqrt(6)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n + 2 = -9*n. Suppose d - 3 = -n. Suppose -j + 5*k = -10 - 15, d*j = 5*k + 75. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 169882164 and 6913809?\nAnswer: 1189175148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2.86 from -5367482.007.\nAnswer: -5367479.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 4:59 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*w - 2*w - 2*u, 3*w - 42 = 5*u. Which is smaller: w or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q - 4. Is h(5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 10 = -0*b, -3*b = 5*x - 290. Suppose -16 = 4*z, -4*v + 13 = 2*z + 1. Suppose v*f - x = 29. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o - 3. Let v be s(2). Suppose 17 = 5*a - 3*l, -l + 25 = v*a + 4*l. Suppose 2 - a = -p. Solve -5*y + p*m - 14 = 0, -y + 2*m - 4*m - 10 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1749333 minus -21806921?\nAnswer: 20057588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2599.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 4*u**2 + 7*u - 5. Give r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 + 36 - 58 - 33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 + 2 - 2)*(u - 2*u + 3*u) - 250 + 250 + 20*u**4 - 5*u**4 + 3*u**4 - 6*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 151365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 2*i = -0 + 4, 0 = -g + 3*i - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -5*b + 4. Let h be b + -2 + 2 + 2. Are h and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54245 (base 7) in base 4?\nAnswer: 3103010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-3)*3\/4. Let d = 4679 - 4675. What is the closest to p in d, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -4, 0 = 2*j - 6*j + 3*w + 47 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 4\/3*x**3 + 2\/15*x**5 - x**2 + 1\/3*x**4 + 0*x + 1\/120*x**6 + 0. What is the units digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -290, 2, -4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -12*v - 48. Let k be q(-4). Let t = -297041\/74 + 4014. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 23*w**2 - 7*w + 21. Is d(-23) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*p + 40 = 0, 2*p + 1 = 2*m - 3. Suppose -m*v = -2*d - 51 - 5, 0 = -4*d + v - 148. Let a = 123 + d. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6525)\/(-36540))\/((-5)\/(-6)*-1).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-11 + 7)*437\/1?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2278071776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence svvv when four letters picked without replacement from {z: 1, v: 2, s: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-76)\/(-16)*(16 + -31*(-5)\/(-10)). Let c(h) = -h**3 - h + 2. Let f be c(0). Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.397*0.1.\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 215 + 164 + 851 + 18*d**2 - 1230.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -x**4 + 40*x**3 + 4*x**2 - 160*x = 0.\nAnswer: -2, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y + 8. Let a be t(9). Let v = 13 - a. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b + 104 = 62 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 116178, -2, 1 in ascending order.\nAnswer: -2, 1, 116178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/12)\/((-8)\/12) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 52520738 + -3?\nAnswer: 52520735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, z: 4}. Give prob of sequence zzmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -430 + 7dc9?\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2783138484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21120 is divided by 3807?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/5 - 336*u**2\/5 + 2*u\/5 + 336\/5.\nAnswer: -2*(u - 1)*(u + 1)*(u + 168)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-5))\/(9\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 185160 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -16488  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v - 6. Determine u(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29765, -119072, -267917, -476300, -744221, -1071680?\nAnswer: -1458677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 51042 and 11139.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 184757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1350)\/sqrt(3))\/sqrt(9)*-2)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*z**2 + 3*z**3 - 25*z**2 + 3 to the form q + b*z + d*z**3 + p*z**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 836.53 centimeters to kilometers.\nAnswer: 0.0083653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 6:43 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + 0 - (9 - 10)) + (-3 - (-86 - -26)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3822)\/245)\/(2\/5)*(2 + -3 + 3).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 1230?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + 1. What is the third biggest value in -5, w, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -22*m + 2. Let a be b(-5). Let x be (-1 + 5 + -5 + 2)*0. Suppose x*n + 112 = 8*n. What is the highest common factor of n and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxuhtto. Give prob of picking 1 o and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 46, 193, 440, 787, 1234?\n\"Answer: 50*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = i - 68, n = -4*i + 3*n + 206. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 2*r = 128. Suppose -763 - 821 = -48*o. Calculate the remainder when r is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*b**2 + 45*b**5 + 16*b**4 - 86*b**5 + 43*b**5 - 93*b**2 wrt b?\nAnswer: 120*b**2 + 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64296*c**5 + 151*c**4 + 26620272*c?\nAnswer: 1285920*c**3 + 1812*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + s)*(1 + 3 - 3) + s + 0*s - 3*s + (6 - 3 - 4)*(-2*s + 5*s + 3*s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 6079*q + 467771. Calculate g(-76).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 11  (c) -12  (d) 601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2608 by -4.\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 21*d**2 - 17*d - 101. Calculate v(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b + 3*b - l + 7, 3*b - 4*l + 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 187735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 5*q**2 - 10*q - 37. Give x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 221783 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -0.2, 4, -4\/5, 23\/7, 0 in ascending order.\nAnswer: -4\/5, -0.2, 0, 23\/7, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-3 + (-63)\/(-9) + 3 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 7. Suppose 0 = -208*x + 206*x + 6. Let v(j) = j**x - 11 + 10 + f*j - 4*j + 2*j**2. Calculate v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 1 - 3 + 140*k + k**4 - 148*k - 8*k**3 - 12*k**2 - 3*k**4 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (125*v**4 - 255*v**4 + 3*v + 119*v**4)*(1 + v - 1 - 2 - v + 2 + (-3 + 3 - v)*(5 - 2 - 1)).\nAnswer: 22*v**5 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 6 = -2. Suppose g = i - 3. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2211220111220 (base 3) to base 15\nAnswer: 1ed7d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1990195895?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24.1*0.14\nAnswer: 3.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -592, -607, -632, -667?\n\"Answer: -5*c**2 - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 472 + -1418\/3. What is the common denominator of -77\/232 and m?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-15) - (-144)\/20. Let d be 14\/(-98) - (-113)\/7. Find the first derivative of -i - 7 + 18 + d*f**2 + 16 wrt f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4033, 3927, 3707, 3337, 2781, 2003?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (114282\/12)\/(102\/136). What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 - -0.08496\nAnswer: -0.61504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -160 in -3, -3\/5, -5, -8\/317, -4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 2:15 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 4*t**2 + 2*t + 1. Let o be z(-3). Suppose 2 = o*v - 3*v. Suppose 0*u - v*u = -290. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**3 - t + 1. Let a be k(1). Suppose a*c - 9 - 11 = 0. Solve 2*b - 4 = 2*x, -2*x + 6 = c*b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1467266 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5082343, -5082350, -5082367, -5082400, -5082455?\n\"Answer: -p**3 + p**2 - 3*p - 5082340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/5)\/((-15402)\/1510)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k - 15 + 567 + 12 = 0. What is the greatest common factor of k and 14711?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 67 + -40. Let i be z + 5 + -2 + -1. Suppose i + 1 = k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/11  (b) -0.5  (c) -62  (d) 8  (e) -4.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 1 = 43. Suppose -2*t = 61*t - 378. What is the remainder when v is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/44*-8 + 8\/(-44). Let v be 58499997 + p*-1*39\/(-26). What is v rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -28715, -28718, -28721, -28724?\n\"Answer: -3*y - 28712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4679085 divided by 18?\nAnswer: -1559695\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1251*a + 479*a + 566*a + 205*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1159662.1 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3b (base 13) to base 15.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3465 to 2 decimal places.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(2) + (-5*sqrt(2) - sqrt(2))) - ((-4 + sqrt(2) + sqrt(2) - sqrt(2)) + -1).\nAnswer: -11*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 56\/11 and 34\/407.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -6 + 2. Solve -p*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16752.02 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-4)*(z\/((z*z*z\/z**33)\/z))\/z*(z**(-18)\/z)**23 assuming z is positive.\nAnswer: z**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5660*n - 5657*n + 26 + 11315*n + 2*n - 3 + 3 + (0 + 0 - 2*n)*(-1 + 3 - 3).\nAnswer: 2*n + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 47?  (a) 4  (b) -2\/13  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 - 4 - m**2 - 8501*m + 0*m**2 + 954*m.\nAnswer: -m**2 - 7547*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 1. Suppose 9*s = 4*s - 10. Let p = 1 - 1. Let l = p + s. What is u(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 0*l + 1\/6*l**3 - l**2 + 1\/15*l**5 + 0*l**4 + 0. Let k be c(-1). Solve -q - 24 = k*i, 3*i - 7*i - 21 = -q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3235 is divided by 63?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-11)))\/h*h*h*h*h**(-10)*h)**(5\/3) assuming h is positive.\nAnswer: h**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 2\/45, -1\/17 in increasing order.\nAnswer: -1\/17, 2\/45, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 3 - 2. Suppose -4*g = -4*t + 28, -4*t + 5*g = -8 - 25. Solve 0 = p - w + t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287026.\nAnswer: 2, 143513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -964*n. Let g(i) = -37717*i. What is r(g(a))?\nAnswer: 36359188*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/17  (b) 123  (c) 17.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3937 = 615*d - 488*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2392300 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240975 divided by 26775.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/145 - 147\/290. Let x = -2.2 + 4.2. Which is the second biggest value?  (a) v  (b) x  (c) 3\/5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*s - 22 + 7, 5*s - 27 = -4*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -12*n**2 - 230*n - 21. What is a(-19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 284 and 32?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - -0.1. Let a = -4 + 2. Let o be a + 4 - (-15)\/(-9). What is the biggest value in 1, t, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81599382?\nAnswer: 2, 3, 4533299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f - 8 + 2*f - 1. Let l(c) = 3 + 4 + c - 4 + 1. Let g be (-39)\/6 - (-1)\/2. Give g*s(z) - 13*l(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3938.29102 rounded to zero decimal places?\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 - 15. Let g = 17 - b. Put -2, g, 3, -4 in increasing order.\nAnswer: g, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83544\/5 - 1428\/5*r**3 + 6\/5*r**4 - 168504\/5*r + 86382\/5*r**2 = 0 for r.\nAnswer: 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1023, 775, 529, 285, 43, -197, -435?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - 16 = -23*a. Let j(k) = -3*k**2 - 26*k + 24. Let l(z) = z**2 + 2*z + 2. Let s(o) = a*j(o) + 4*l(o). Factor s(m).\nAnswer: (m - 16)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*l - 14. Which is the closest to l?  (a) 3  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/42)\/((-45)\/1890)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30025 is divided by 231?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -0.1  (b) 0  (c) -3001  (d) -46.9  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.232960256 to 4 dps.\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5544\/1540*(-150)\/(-162). Factor -1\/3*f**3 - h + 2*f**2 - f.\nAnswer: -(f - 5)*(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -3\/2*q + 11 + 5\/4*q**2 - 1\/8*q**4 - 1\/6*q**3. Find z such that m(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l. Let s = -6 - -6. Suppose -o - 4*o = s. Let x(h) = h**2 + o - 2*h**2 + 0. Calculate u(x(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 15688, 31354, 47002, 62626, 78220, 93778, 109294?\n\"Answer: -h**3 - 3*h**2 + 15682*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 - 77. Suppose 2*c - 2 = -4*d, -i*c - 10 = 2*d + 4. Suppose -d*m = -8*m. Solve -2*p + 8 - 4 = m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100111 - 1101100111?\nAnswer: -1111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 7*c. Let a(t) = 875*t**2 + 4400*t - 550. Let w(p) = -19*p**2 - 96*p + 12. Let v(h) = 6*a(h) + 275*w(h). Determine q(v(s)).\nAnswer: 175*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6*-1)\/(3\/(-2)). Suppose -s*b - 3*w + 7 = 0, -2*w + 6*w + 28 = 4*b. Suppose -37 = -3*h + 5*a, -b*h + a + 41 = -4*a. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.40448 rounded to 3 dps?\nAnswer: 0.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 3*y + 2*y)*(37 + 18 - 126)*(y**2 + 4*y**2 - 4*y**2).\nAnswer: -142*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*j**5 - 5*j**5 + 2*j**5 + (1 + 5*j**2 - 1)*(-5*j**3 + 6*j**3 + 3*j**3) + 2890*j**4 + 18*j**5 - 2890*j**4.\nAnswer: 40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -3 + 2 + 2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 99 + 231. Let u be -3 - d\/(-9) - 12\/3. Factor -22\/3*f + 10\/3*f**4 + 14*f**2 - u*f**3 + 4\/3.\nAnswer: 2*(f - 1)**3*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -2\/3  (b) 3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -8 - -3 - (-2 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -193 + 91. Put 3, m, 0.2, -4, 0.4 in increasing order.\nAnswer: m, -4, 0.2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + 1827*z - 16469. Calculate v(9).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/18494640 and 53\/1337235.\nAnswer: 1091183760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 3*s + 19 - 14 + s**2 - 3*s. Let l(p) = -6*p**2. Calculate d(l(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((-30)\/(-12) + -3). Is 23 a factor of ((-232)\/32 - -7)\/(u\/184)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: 131013332 (base 4) to base 7\nAnswer: 1004540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 - 48)\/(-1) - 4. Suppose 3 - d = 9*w. Let p be (-2)\/(30\/9 + w). Solve p*t - 14 - 9 = 4*r, r - 5*t = -27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 115342488 a multiple of 1675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/4)\/((-28*16\/(-10304))\/2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 225, 516, 1005, 1692, 2577, 3660?\n\"Answer: 99*g**2 - 6*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -6*s - 9 + 11*s**2 - s**3 + s - 4*s. Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 36, 1091, -2, 2 in ascending order.\nAnswer: -2, 0, 2, 4, 36, 1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -20*r + 15. Let o(b) = b**2 - b. Let m(c) = -c**2 - 10*c - 10. Let a be m(-9). Let x be o(a). Let k(p) = -3*p + 2. Calculate x*l(t) - 15*k(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-133460)\/(-15)*45\/60 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0248 + 0.01499. What is i rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (45\/((-27945)\/368))\/((-4)\/6)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2449*b + 6. Let w be n(6). What is w rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 235037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 333236 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 84*y - 1123151 + 1122479 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 3\/2 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5*w - 26. Let l(i) = i + 2 + 0*i + 3. Let g(o) = 11*l(o) + 2*n(o). Let d be (-3 - (-22)\/4)*(-12)\/(-150)*-15. Calculate g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u + 2*u - 2*u + (-3*u + 3*u + 2*u)*(1 + 2 - 4) - 2*u + 1 - 1 + 3*u + 0*u - 2*u + 10289*u + 1485 - 642 - 843 to the form r + b*u and give b.\nAnswer: 10285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -1394 + 2519. Calculate the highest common factor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -738650 divided by -2?\nAnswer: 369325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.12146 - -5\nAnswer: 4.87854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225294 is divided by 2560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9177 bigger than 9177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -16, 15.8677?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -2*s**5\/7 - 136*s**4\/7 - 128*s**3\/7 + 404*s**2\/7 + 130*s\/7 - 268\/7 = 0.\nAnswer: -67, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 8 + -25 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 128947859629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/44 - (-3612)\/1056) + -3\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*o**3 + 15*o**3 + 8*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -33 (base 5) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 277840920 rounded to the nearest 100000?\nAnswer: 277800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 2.13, 4\/7, 0.\nAnswer: -3\/5, 0, 4\/7, 2.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2203779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((0 - 54)\/2)\/(-1). Let w(p) = -133*p - 20. Let x be w(-2). Let s = x + -241. Solve s*m + 3*v = -0*m - 6, -5*m - h = -4*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of 4*y**2 + 0 + 1\/3*y**3 + 1\/24*y**4 + 1\/60*y**6 - 1\/20*y**5 + 0*y. What is the remainder when o(2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 11:40 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -562*y. Let p(n) = 40*n + 763. Determine p(c(j)).\nAnswer: -22480*j + 763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + -1. Let n = 0 - -3. Let l = 0.5595 - 3.5595. What is the nearest to l in r, n, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-166)\/(39840\/42)*(-1)\/(35\/(-2))?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 6 + -2 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 6*p**2 - 2*p + 6. Let c be (3\/6)\/(2\/24). Let h be q(c). Let l = h - -8. Solve -3*d - 25 = l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -99 bigger than -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 + 2*i**4 + 7*i**3 - 2*i + 1 - 6*i**3 - 6*i**2 in the form x*i**3 + u*i + k + v*i**4 + a*i**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1 - -2) + 1)*1. Suppose -f*u = -v + 37, 0 = 3*v - 0*v + 4*u - 71. What is the remainder when v is divided by ((-30)\/4)\/((-17)\/34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -5*p. Let j(u) = -3*u**2 + 2*u + 2. Let b(r) = 56*r**2 - 35*r - 35. Let k(l) = 2*b(l) + 35*j(l). Determine n(k(i)).\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 652*l + 6480. Give j(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l - 48. Let f be r(-8). Suppose f*n = 4*n + n. Solve -k = -2*z - 12, -3*k = -n*z + z - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = w + 5*i - 20, 0 = 6*w + 2*i - 26. Determine a so that 13\/3*a - 4\/3*a**w - 3 = 0.\nAnswer: 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 3\/424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + (-20)\/(-70) + 24\/14. Determine x, given that 2*x + 28 + 3*x**2 + 5*x**2 + 16*x - f*x**2 - x**2 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114718 divided by -5\nAnswer: -114718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 4*a. Suppose 5*x + 15 = -0*x. Let z be 169\/(-39) + (-1)\/x. What is b(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 1. Let u be (r\/(-2))\/(8 + -5). Suppose 3*h + 5 - 2 = u. Which is greater: h or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 12, -69, -180, -315, -468?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 152 = 5*v, 4*v = 5*y - 12 + 104. Does 5 divide 400\/v - (-6)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*t - 28*t + 70*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64\/(-992) + 24436\/124 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 1 = -36. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 332428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 - 32*m + 26. Let a be x(19). Calculate the greatest common factor of 56 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 0*v - v + 3*v + v. Let d be j(1). Let f be 3 - ((-81)\/(-15) - d). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, 0, -16, -5, -12, -0.69 in increasing order.\nAnswer: -16, -12, -5, -0.69, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 b, and 2 h when four letters picked without replacement from {k: 9, h: 5, q: 3, b: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.7 - 37.7. Let p = d - -27. Let q = -19\/2 - -9. Sort q, p, 4 in increasing order.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -13*m**3 + 3*m**2 + 4*m - 3. Let i(y) = 14*y**3 - 4*y**2 - 4*y + 4. Determine -4*f(l) - 3*i(l).\nAnswer: 10*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.3 + -7. Let n = l + 3. What is the nearest to 0.1 in 2\/3, n, 5\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000808 to six decimal places.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, 40846621, 3\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**2\/5 - 1132*a\/5 + 4446 = 0?\nAnswer: -585, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 137041771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 + (-52)\/(-10))\/((-4)\/10). Suppose -2 + g = 6*h. Suppose 2*m = h, 0 = 5*l + 3*m + 4 - 34. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4441.7169355 - 3.\nAnswer: -4444.7169355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.2 - -0.1. Let k = 0.049 - 2.149. Let j = h + k. Which is the third biggest value?  (a) j  (b) 1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -3*d**2\/4 - 40641*d\/4 + 610965\/2 = 0.\nAnswer: -13577, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85641 - 213336 = -15*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 574*y + 499*y - 6*y**3 - 1453*y + y**2 + 562*y in the form q + o*y**3 + z*y**2 + j*y and give j.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244198 = 47*g - 344477. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 10\/27  (b) -1\/4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ennnnennknnnnn. Give prob of picking 1 k and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 AM and 4:50 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 105\/15 + ((-98)\/(-18))\/7 - 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -992*i + 901*i + 2548 = 0 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**4\/12 - 5*o**3\/6 - 2*o**2 + 5*o. Suppose i(d) = 0. Calculate d.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/4746 and -109\/25764.\nAnswer: 180348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 4*r + 9. Let q be g(-2). Put -34, 5, q in descending order.\nAnswer: 5, q, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7391, -7375, -7359?\nAnswer: -7343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 238140 divided by -1470\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*v - 2875 + 529 - 916 = 1862 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3529 divided by 6\nAnswer: -3529\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**5 + 2*p**5 + 0*p**5 + (4*p**2 + 3*p - 3*p)*(-5522*p + 5522*p + 29*p**3) - 2*p**5 - 1 + 1 + (-2*p + 4 - 4)*(-p**4 + 5*p**4 - 3*p**4).\nAnswer: 113*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 393452 by 98363.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9004.2ml in litres?\nAnswer: 9.0042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 7*c - 10. Suppose -2037*p + 18 = -2036*p - 2*t, 3*t = 5*p - 34. Calculate f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 z when four letters picked without replacement from ddlddldllzl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from meemeeeeeeeeme. What is prob of sequence em?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251026255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojj when three letters picked without replacement from {b: 4, o: 1, j: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 925 or -59?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -62710603 rounded to the nearest one hundred thousand?\nAnswer: -62700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 6*m - 30. Let t be (0 + 0)*(-14 + m). Suppose t = 8*w - 32. Solve w = -3*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvefeaeavfvvvf. Give prob of sequence vaef.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 5905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5192673 - 11392673. Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from fnnfcfnfffnfnnnnfcn?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j + 4. Let s(h) = 9*h + 4. Let l(g) = -3*g - 1. Let a(r) = -11*l(r) - 4*s(r). Let t(y) = -5*a(y) - 4*o(y). Determine t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3 + (-2 + sqrt(720))**2 + 4 - -3*((2*(sqrt(720) - (sqrt(720) - (sqrt(720) + 1))) + sqrt(720))**2 + -1).\nAnswer: 384*sqrt(5) + 20181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 8:52 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - d - 12. Let n be h(-11). Let l be (1010\/3)\/(2\/n). Suppose -2*z = -4*z - l. Round z to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 45. Suppose 71*a - q = 66*a. Suppose -2340 = -2*h - 2*y, a*h + y + 3*y = 5851. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2 - 1585020*v - 1585015.\nAnswer: -5*(v + 1)*(v + 317003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19558616 - -352180115\/18. Let g = f - 6944. Find the common denominator of g and 37\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -21*j + 26*j + 3 + 3. Let l(q) = 14*q + 17. Calculate 3*l(x) - 8*o(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 7:14 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -89, -271, -577, -1007?\n\"Answer: -62*c**2 + 4*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of -b**7\/105 - 313*b**6\/24 - b**5\/60 + 2335*b**3\/6 + 3007*b**2 - 1. Find the first derivative of l(m) wrt m.\nAnswer: -8*m**3 - 4695*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/(sqrt(48)\/sqrt(100)))**2 - (sqrt(1300)\/sqrt(4) + -2).\nAnswer: -5*sqrt(13) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-111 + 121)*(-3)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 13*x**2 - 47*x - 419. Calculate a(16).\nAnswer: 2157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 296 - -133. What is the remainder when a is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 48\/4*(-2)\/(-4). Let x(i) = 177 + 185 - i - 48*i**2 - i - i**3 - 404. Let t be x(-48). Calculate the highest common factor of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.77 times -0.27?\nAnswer: 8.3079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2123978, 2124027, 2124106, 2124215?\nAnswer: 2124354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q + 0*q - 17767 = 175972. Suppose 5*y + 6 = 3*z, -3*y - z + 1 = -1. Suppose y*h + q = 7*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2076034676 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jsjs when four letters picked without replacement from {s: 4, j: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 864 = -4*g + t, 3*t = -2*g + 432. Let a = -13 + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**7\/840 + t**6\/180 - t**3\/3 - t. Let q(d) be the second derivative of f(d). What is the third derivative of q(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46175058 divided by -558\nAnswer: -82751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8028879 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -478.7 and -0.03?\nAnswer: 14.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0)**(-1\/74)*(((f\/(f\/((f**(-2)\/f)\/f*f)))\/f)\/f*f)\/(f*f**(-3\/5)*f*f))\/(f**(-2\/15)\/f*f**(-7)*f)**(25\/2) assuming f is positive.\nAnswer: f**(2483\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of 0 + 17*y**2 - 1\/22*y**4 - 7\/33*y**3 + 0*y + 1\/330*y**5. Factor u(i).\nAnswer: 2*(i - 7)*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 5*o - 25, -4*g - 20 = -o - 3*o. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f + 0*f + 0*f - 4*f + 8*f - 23*f + (-1 + 4 - 2)*(4*f + f - 6*f) - 41 + 41 + f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -7 - -5 - (-4 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 5*o - 35, 12 - 7 = v - 3*o. Solve 2*l - 13 + 25 = -4*b, -3*l = b + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1083606, -2167211, -3250814, -4334415?\n\"Answer: r**2 - 1083608*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 7:01 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 446300.5g in tonnes?\nAnswer: 0.4463005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 2:04 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 159552, 319091, 478620, 638139, 797648?\n\"Answer: -5*s**2 + 159554*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 11\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 24 = 3*z. Let u(y) = -y**2 - 9*y + 2. Calculate the remainder when u(-7) is divided by (10 - 1)\/(z\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1331)*-1*-4 + (-2*(1 + sqrt(1331)))**2 - -3*((1*sqrt(77)*-5)\/sqrt(7))**2.\nAnswer: 132*sqrt(11) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -126 - -183. Let p = 1233 - 1193. Suppose -u - 21 = r - n, 5*u = -r + p. What is the remainder when r is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ktk when three letters picked without replacement from kkkktkkktktktkkkktkk.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.5290827 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.27, 7.018, 2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14158.2  (b) 37.2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5*(-8)\/40*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/3*m**2 - 1\/3*m**4 + 0*m + 0*m**3.\nAnswer: -m**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4822, 4775, 4644, 4387, 3962, 3327, 2440?\n\"Answer: -7*q**3 + 2*q + 4827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21250\/(-442) - -48)*-611.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -1  (c) 3  (d) -22  (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3900 and 83266950?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*j - 6, 4*j = -3*a - 0*j + 41. Let c be (10\/8)\/(-1)*-4. Let i = c - a. Do i and -2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 259047*a**2*m**2*r**2 - 46*a**2*m**2 - 245302*a**2*m*r**2 - 6*a**2*m*r + 2*a**2*r**2 - 2*a*m*r**2 + 2*m wrt m.\nAnswer: 518094*a**2*r**2 - 92*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1482270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1607060 by -2.\nAnswer: -803530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -159, -411, -781, -1269, -1875?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 9*h**2 - 3*h + 11. What is y(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c380 - -8b?\nAnswer: c42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 35. Suppose -1277*p + 1247*p = -1770. What is the remainder when p is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 527847253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 61*z - 6. Let f(x) = -65*x + 5. Give -2*f(q) - 3*l(q).\nAnswer: -53*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/70 and 32\/385.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3877480 + -0.5.\nAnswer: 3877479.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2310443412 (base 5) to base 13.\nAnswer: -10c0cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**5 + h**3 - h**2 - 1. Let x(y) = -4*y**5 + 6*y**3 - 6*y**2 - y - 6. Let v(k) = 6*i(k) - x(k). Find the second derivative of v(r) wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110101001100101 (base 2) in base 14?\nAnswer: 33a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 10:57 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 126\/(-56)*8\/(-6). Suppose 3*f = -0*x - z*x, -2*f = 4*x + 6. What is the second derivative of 34*m**4 - 36*m**f - 23*m + 9*m + 36*m**3 wrt m?\nAnswer: 408*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 4:10 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*h + 4*c - 33, h = 3*c + 3. Suppose 0 = w - 5*i - 0*i + 58, h = 3*i. Is w\/(-8) + (-4)\/(-16) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**3*x + 20*j**3 + 174*j*x**3 - 4 wrt x.\nAnswer: -j**3 + 522*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47 - 48. Let m = -5\/6 + 1\/3. What is the nearest to -0.1 in -2\/5, n, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 595958013 to the nearest integer?\nAnswer: 24412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23591, 27969, 32347, 36725, 41103?\nAnswer: 45481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 39\/11 + 96\/(-176). Let k be (p - 2)\/((-143)\/(-26)). Factor -k*l - 2\/11*l**4 - 2\/11*l**5 + 4\/11*l**3 + 4\/11*l**2 - 2\/11.\nAnswer: -2*(l - 1)**2*(l + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 146 - -65?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 9 + 15 + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from ffviifuflf?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66438091 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -460.89 plus 31017.2667?\nAnswer: 30556.3767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 4*x**3 - 54680*x**2 - 8825600*x - 354048000 = 0.\nAnswer: -80, 13830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 10*u**2 - 18. Is c(-9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 576173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2556 - -3124. What is the remainder when w is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 17. Let u be y(7). Suppose 4*k - 2*k = v + u, -k - 2*v = 0. Solve 3*d - 1 = k*w, 3*d - 18 = -d - 3*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 1182*y + 9867. Give f(-8).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-4))\/((190\/532)\/(-5))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -108 + 67. Let j = h - -46. What is the biggest value in j, 0, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -113 - -3. Which is the third smallest value?  (a) x  (b) -1  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -11*p**3 - 3*p**2 + 3*p + 4. Let l = 166 - 162. Let m(c) = 33*c**3 + 8*c**2 - 8*c - 11. Give l*m(q) + 11*i(q).\nAnswer: 11*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u - 1. Suppose -263 = -26*r - 159. Suppose 0 = -4*m + 5*m - 1. Let x(p) = -5*p - 3 - m + 1. Determine r*x(w) - 11*s(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-55)\/(-165)*(-6)\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1223*c**2 + 1433*c**2 - 1098*c**2 - 1495*c**2)*(-c + 4*c - 5*c).\nAnswer: 4766*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4376, -4662, -4948, -5234, -5520?\n\"Answer: -286*s - 4090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 - -24. Solve -3 = -2*l - 5*m + 1, l + j*m = 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 12. Let b(f) = f**3 - f + 4. Let t be b(c). Let l = t + -22. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-3808)*42*4\/(-4)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 - 30 = 2*u. Let i be 10\/15 - 56\/(-6). What is the highest common factor of u and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 25 = -2*k, 3*g - 3*k - 25 = -2*g. Suppose -g*t + 924 + 31 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/7 - 10\/7*f + 3\/7*f**2.\nAnswer: (f - 4)*(3*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/(15\/135)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*h**3 + 2*h**3 - 9*h**4 + 53*h**3 + 12*h**4 + 4*h**2 to the form u*h**2 + m*h + v*h**3 + d + z*h**4 and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 6*j + 0*j - 13 + 13. Let o(n) = -n. Determine b(o(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17312615 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(48\/(-40)*10\/(-6)). Suppose -5*r + 10 = 0, -2*y - 8*r = -k*r - 268. What is the greatest common divisor of 195 and y?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9 + 6 - 2 - 1 + 1 + 1 + (-2 - 1 + 5)*(-4 + 1 + 2) + 2 - 3 + 0)*(1167 - 1167 - 19*m) as o*m + i and give o.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (4 + 8 + -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-234)\/910)\/(-3*(-2)\/20).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -41243015?\nAnswer: -41243012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6235592, 6235594, 6235596, 6235598?\nAnswer: 6235600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - 6*h - 6. Let b be s(-4). Let p(l) = 0*l - 3*l - l**b + 3 + l. Let n be 5\/(-10)*4 - 2. Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1720.655 and -0.5?\nAnswer: 860.3275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 14 = -11*r, -3775*x + 44 = -3779*x - 2*r for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -3.8?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -6*y**3 + y**2. Let f(w) = w**3 - w**2. Determine 5*f(v) + l(v).\nAnswer: -v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 11 + 9 - 20 - x. Let c(p) = -19*p + 1. Give c(a(i)).\nAnswer: 19*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -3*w**6\/5 - 5*w**4\/4 + 13*w. Find the third derivative of k(r) wrt r.\nAnswer: -432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 131, -5, 14.\nAnswer: -5, 7, 14, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 431 - 15 = 0. What is p in -z + 5*p + 5*p + 5*p**2 + 12 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -74 + 92. Calculate the smallest common multiple of 8 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ufufdkiikkfkufku.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 8 = -4*k + 4*r, 0 = k + r + 2. Let i = 1 + 5. Let y = -3 + i. Sort k, 2\/31, y in ascending order.\nAnswer: k, 2\/31, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -231092*i**6 - i**2 - 122511.\nAnswer: -27731040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from tkkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 466926 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.42935 litres in millilitres?\nAnswer: 15429.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*c - b - 43 = -168 + 70, -10 = 2*c + 2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-5))\/((-5)\/525). Let y = z + 219. Suppose -2*f - 44 = -2*b + 3*f, -5*b + 4*f + y = 0. Solve 0 = w - 3*q + 7 + 3, -5*w = -4*q + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 117 divided by 39\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 523093 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1771660 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*t - 8*t + 11*t + 3*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3*j**2 + 5. Suppose -5*n = -2*n + 9. Let x(p) = 225*p**2 + 2. Let m(o) = 82*o**2 + 1. Let h(r) = 11*m(r) - 4*x(r). Give n*c(i) + 5*h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 272222119*v**3 - 834955122 wrt v?\nAnswer: 816666357*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 90.79181 milliseconds?\nAnswer: 90791810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1))**(-26\/5)\/(q**(-1)\/(q\/q**(1\/7))) assuming q is positive.\nAnswer: q**(247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/((h\/(h\/((h*h*(((h\/(h*h**16)*h*h*h)\/h*h)\/h)\/h*h*h)\/h*h)))\/h)*h**(-8\/11) assuming h is positive.\nAnswer: h**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 3596.5879 to the nearest 10.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + (-21)\/6)*-10. Suppose -10895 - g = -9*z. What are the prime factors of z?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -12, -2*z - 5*b - 62944 = -5*z. Suppose 3*v + 4*j - z = 0, -2*v - 3*j + 13997 = -2*j. What is v rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109 divided by 170\nAnswer: -109\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 31, 70, 107, 142?\n\"Answer: -p**2 + 42*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 17*u = 330. Let m = u + -2147\/13. What is the biggest value in -0.5, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 12:51 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 146366147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 9 = 6. Let q(w) = -1 - o + 4*w**3 + 2*w + 6 + 0*w - 4*w**2. What is the units digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*((-3)\/(-3) + -3). Put 1, -1, -6, k in descending order.\nAnswer: 1, -1, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3815756 and 0.2.\nAnswer: 0.07631512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67*-3.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 287449264 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -2*d + 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 23183 - 0?\nAnswer: 23183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(24\/(-4)))\/(-2*(-6)\/(-108)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -225*f + 20. Let g be p(-1). Let c = g - 103. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 35. Let b(u) = 52. Let a(x) = 2*b(x) - 3*h(x). Let w(z) = -z**3 - 4. Give 5*a(j) - w(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 24, -4*g + 3*g + 28 = 2*t + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -137.1 + 1.1. Let d = s + 149.4. Let u = d + -13.39758. Round u to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1321*i + 22337 - 66913 = 72*i for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.34103 + 0.44103. Which is the nearest to d?  (a) -2  (b) 1\/7  (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -99\/10 - -42\/5. Put 8, g, 5, 0.5 in decreasing order.\nAnswer: 8, 5, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 11120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1790370*p**3 + 1809830 wrt p.\nAnswer: 5371110*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 13*x + 6. Let m(p) = -36*p - 16. Let i(h) = -4*m(h) - 11*t(h). Calculate i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y - 2. Let r(s) = 473*s - 327. Let j(g) = -2*q(g) + r(g). What is the derivative of j(i) wrt i?\nAnswer: 487","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 169 - 165 - 76\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -354?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-20)*9*(-50)\/(-30)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*x**2 + 10 - 12 + 11*x**2 + 2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -13*g**2\/2 + 21. Let d(v) = -81*v. Let t(p) = 15*p. Let k(s) = 6*d(s) + 33*t(s). Give k(l(f)).\nAnswer: -117*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Let d(s) = 0*s**2 - 4*s**j + 2*s**2 + s**2. Let t(y) = -9*y. Give d(t(f)).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8  (b) 5  (c) -2\/23  (d) 7  (e) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -12*w. Let z(l) = 11*l. Suppose -k + 5*n = 4, k - 1 = 2*n + 4. Suppose -k*x + 2*x + 99 = 0. Suppose -2*u + x = 21. Calculate u*t(m) - 6*z(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 15, -3, 5, -34 in increasing order.\nAnswer: -34, -3, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z - 3. Let f be w(13). Suppose 5*y - 4*y = f. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-12))**(-9) assuming x is positive.\nAnswer: x**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 500 a factor of 4386862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -3) + 3 + -4 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2))**(-27)\/(r**(-1\/6)\/r**(-1)) assuming r is positive.\nAnswer: r**(319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 5*j**2 - 2*j - 1. Let q be t(3). Let h = -15 - -22. Let z = h - q. Let c(l) = -l**3 - 3*l**2 + 4*l + 5. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - p - p)*(70 + 59 - 75) - p - 4*p + 2*p.\nAnswer: 105*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-1\/3))\/f)\/f)**(-6)*f*f\/f**(-4)*f*f\/f**(-1\/8) assuming f is positive.\nAnswer: f**(129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34\/39 + 56\/65. What is the common denominator of 24\/85 and d?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -5 + 12 - (26 + -21 - -92).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + -10 + -10 - -6) + (-2 - 14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 457048 - 321351. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1638 and 630.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -130020322 - 10?\nAnswer: -130020332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 73 + -581\/8. What is the smallest value in 1, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 0*q + q - 1 + q - 6. List the prime factors of k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8211 - -8210.9987125. What is s rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55211603 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3128742734.\nAnswer: 2, 13, 9721, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (4 - (-7 + 3)) - (20 + -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 + 13. Let t = w - -13. Let p(h) = -2*h**2 + 11*h + 7. What are the prime factors of p(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 2\/28313, 19\/2?\nAnswer: 2\/28313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 2*k**2 - 4. Let d be q(3). Suppose -g - 3865 = 3*o - d*o, 0 = 4*o + 5*g - 7709. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1243 - 1238. Let y be (6\/(-15))\/((-7)\/(-5)). What is the second biggest value in y, -72, -1\/2, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/2 and -139\/1540.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-2\/13))\/(i**(-12)*i) assuming i is positive.\nAnswer: i**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.69 - -1.09. Let l = 9 - 11. What is the smallest value in 0.2, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -67\/8964795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**2\/11 + 1127926*m\/11 + 3383796\/11 = 0. Calculate m.\nAnswer: -3, 563966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of -b**5\/12 - 275*b**4\/4 + 1655*b**3\/6 + 6649*b**2. Factor g(o).\nAnswer: -5*(o - 1)*(o + 331)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 31 = -6*u. Suppose 4*i - 5 = -5*w, -6*i + 4*w - u = -i. Solve -c + 9 = 4*r + 2, i = -c - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 998828 is divided by 506?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (x**2 + x**2 - 3*x**2)*(263 - 511 + 324) + x**2 + x**2 + 0*x**2 as a*x + r*x**2 + s and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, -1, 29.\nAnswer: -1, 29, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**4\/2 + 165*h**3\/2 + 159*h**2.\nAnswer: 3*h**2*(h + 2)*(h + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1197823600 rounded to the nearest 1000000?\nAnswer: 1198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and 1095.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.19 - 3.89. Let u = i + 6.7. Let d(p) = p**3 + 3*p**2 + p + 1. Let o be d(-3). Sort u, o, 0.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of -h**5\/15 - h**3\/6 + 2*h**2. Let m be j(-1). Which is the smallest value?  (a) 5  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -850245, -1700412, -2550577, -3400740, -4250901?\n\"Answer: q**2 - 850170*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**2 - 1204278*y + 120857125107 = 0. What is y?\nAnswer: 200713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 19985\/(-1713)*36\/(-10)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 1566?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1073549 * -51\nAnswer: 54750999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-43 - 3 - 10)*(1 + 5*q - 2*q + 1)*(q + q - 3*q) in the form r*q + n*q**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 4987764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1284367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1457.57506 - -594971.\nAnswer: 593513.42494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 4:37 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4259.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-20)*(-868)\/93*3\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of 239*d**7\/210 - 479*d**4\/24 - 51*d**2. What is the second derivative of j(s) wrt s?\nAnswer: 2868*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-52)\/8 - -3)*-2. Suppose 2 + x = 3*v. Solve v*z + 3 + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1567057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 - 167 = -12*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.1 - 0.1. Suppose 5*x - x - 20 = -4*q, -3*x = -2*q - 15. Which is bigger: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70 - 15 - 27 - 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 7*f + 6. Let b be j(-6). Let a = 108626\/73 + -1488. Let m = -404\/1241 - a. Is b less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i + 1. Let w(j) be the second derivative of j**3\/3 + 3*j. Let h(z) = -6*p(z) + 5*w(z). Let k be h(-5). Solve -y + n - 4 = 3, 26 = -3*y + k*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -567318032 - 2*k + 567318032 + 2*k - 12*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -0*f - 2*f, 0 = y + 3*f + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*d**2 + 295*d**5 - 59*d**3 + 6*d**3 + 4*d**3 + 47*d**3 + 4*d**3 - 5*d wrt d?\nAnswer: 17700*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hl when two letters picked without replacement from pdggldnnnpndndhnpdgd?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/49 + (-74)\/63. Let u = -2\/3 - r. What is the third biggest value in -2\/17, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.06 + 0.56. Let f = 0.313 + -1.429. Let q = 0.116 + f. Which is the nearest to 0.1?  (a) q  (b) 3\/5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 0.5, -11, 1, -3, 0.2, -0.016?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26)\/15 - (-18)\/(-27))*(-2175)\/(-174).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) 4527  (b) -3  (c) 0.4  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.88 + 0.12. Let a = -5 + w. Let h = 0.5 + a. What is the smallest value in h, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3 - 30 - 302*d + 59. Let h be v(6). Let a = -1223 - h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 210 = -t. Suppose -15 - t = -3*k. Let i(f) = f**3 + 6*f**2 - 7*f - 5. Calculate the remainder when i(-5) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - 0) + (-157 + (-3 - 8) - -27 - 0)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + 10271587.3.\nAnswer: 10271586.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(2\/9))\/l**15*(l**(-1\/8)\/l)\/(l**(1\/5)*l))**(-5) assuming l is positive.\nAnswer: l**(5797\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29 + -11. Let u(m) = 4*m - 9. Let j(z) = z - 2. Let x(s) = p*j(s) - 4*u(s). Let k(o) = -4*o**2. What is x(k(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -15*s**2. Let g(c) = -3*c**2 + 2. Let a(p) = 4*p**2 - 3. Let q(o) = -4*a(o) - 6*g(o). What is f(q(r))?\nAnswer: -60*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -133426 divided by -8130\nAnswer: 66713\/4065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/68)*a*a**(-3\/5)*a assuming a is positive.\nAnswer: a**(471\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -615*g + 647. Is a(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 2:58 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = d - 5, 4*n - n - 3*d = 39. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1088)*4 - sqrt(1088)) + sqrt(1088) + sqrt(1088).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 17*t**2 - 41*t + 9. What is z(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from flqvr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -10\/529  (c) 0.5  (d) -3\/16  (e) 2.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-2810\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.32 - -0.08. Let v = -1295 - -1307. What is the third biggest value in v, 0.2, -0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.041460721 and -12?\nAnswer: 0.497528652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/6643 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 656586075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48668441?\nAnswer: 71, 685471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/4, 3, -1\/5, 3\/118, 0.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 9*c. Let p(y) = 8*y - 1. Determine -5*k(f) + 6*p(f).\nAnswer: 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59 by -1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33726 and 3136518.\nAnswer: 3136518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -69*u + 8754 + 10464 - 21219 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*i + 3*k, -3*k = -i + 18 + 8. Let w(d) = -2*d + 7. Let s be w(-5). Let v = s - i. Calculate the common denominator of v and 25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -7. Let t be ((-3)\/(-4))\/((-6)\/j). Let r = 79 - 712\/9. What is the nearest to t in -4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 11652*b**2 + 7 - 10968*b**2)*((b + 0 + 0)*(-4*b**2 - 2*b**2 + 3*b**2) - 4*b + 4*b - 2*b**3).\nAnswer: -3420*b**5 - 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 5*u + 5, 2*u = 5*j + 4 - 12. Let v be j\/4*-10*-2. Let p = v - -8. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113316203?\nAnswer: 7, 11, 13, 17, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16055 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(96)\/sqrt(8)*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 - 3*c**2 + 2*c**2)*(c**3 - 6*c**3 + 3*c**3) - 10397*c**2 + 10397*c**2 - 183*c**5.\nAnswer: -177*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or -103?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-13))\/(34151\/32409299).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 672801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.716886 nanograms in milligrams?\nAnswer: 0.000009716886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/2)\/((-2)\/(-2)). Let q be (-92995)\/(-294)*(-12)\/15. Let w = q - -253. Are g and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -1.27, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 115365, 111521, 107677?\nAnswer: 103833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p + 195 = 0. Suppose 5*h - p = 150. List the prime factors of h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**3 - 187*h**2 - 87*h + 579. What is o(-93)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 191, 387, 593, 815, 1059, 1331, 1637?\n\"Answer: v**3 - v**2 + 192*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = n + 42. Suppose -2*i + n = i. Calculate the smallest common multiple of i and 0*(-7)\/63 - 76\/(-2).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 12. Let j(i) = -2*i. What is y(j(t))?\nAnswer: -4*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 237949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3764003980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 150664868 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -528  (b) 4  (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3980, 4003, 4026, 4049, 4072, 4095?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 339081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-33)\/((-3960)\/260))\/(104\/72)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4860363\/76 - -63951. Find the common denominator of x and 4 + (4 - 1745\/260).\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -3*f**2 + 2*f + 1. Suppose -4*c = 27 - 7. Let a(k) = -k**2 + k + 1. Let y(x) = c*a(x) + 2*m(x). Determine y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260*z - 105*z = -1085 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - j + 1. Let m be c(1). Find the common denominator of 2\/4 - 99\/(-20) and -74*(m\/(-4))\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(3\/8)*o)\/o)\/o*o)\/((o*o*o**8\/o)\/o)*(o*o*o\/o**(-2\/9)*o)**(-6) assuming o is positive.\nAnswer: o**(-785\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2)*(-25 + 18 + 5 - 111*l).\nAnswer: 222*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 5*r = -a + 66, 0 = a - 2*r - 63. Suppose 53 = -a*y + 62*y. What are the prime factors of y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24.4 - 205.3. What is r rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -212 - -213. Let h(p) = -5*p**2 - p. Calculate h(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 0)\/(3\/(-9)). Differentiate 3*q**3 + 2 + 1 + 8 + 3*q**o wrt q.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 2\/9, -1006, 1\/2?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1)**(-27)*(((j\/((j*j*j**(-1\/2))\/j)*j)\/j)\/j)**(-1\/34)*(j**(-2\/7)*j\/j**(2\/11))**(-40) assuming j is positive.\nAnswer: j**(-252815\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2 + (3 + 3*(sqrt(304))**2 - (-3 + sqrt(2736)*-3)) + -5.\nAnswer: 36*sqrt(19) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4\/18 - ((-6906)\/27 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -7*u + 27. Let a(j) = -3*j + 12. Let h(m) = 5*a(m) - 2*q(m). Determine h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d - 7*d = 1368. Is 37 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(35\/63)*(-41)\/(-1107).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 512 and 182464?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of (252\/(-10) + -1)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26217, 26235, 26253, 26271?\nAnswer: 26289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-715)\/(-2145)*(-6)\/38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -245839, -245848, -245857, -245866, -245875?\nAnswer: -245884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -882732, -882737, -882742?\n\"Answer: -5*d - 882727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**2*k**3 + 317*h**2*k**2 - 14*h**2*k - 12*h**2 - 18213*h + 52*k**3 wrt h.\nAnswer: 4*k**3 + 634*k**2 - 28*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 = -5*w - 6*f + 11*f, -3*w - 29 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**5\/11 - 8*a**4\/11 + 56*a**3\/11 + 320*a**2\/11 + 384*a\/11 = 0. Calculate a.\nAnswer: -4, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25\/9, -2, -0.17.\nAnswer: -2, -0.17, 25\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-4) + 3\/2. Let k be 1290\/426 + (0 - h). Let n = k - 148\/213. What is the nearest to -2\/5 in 5, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - q = 23, -q - 13 = g - 5*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*k**3 - 11030*k**2 - 56832*k + 47880 = 0. Calculate k.\nAnswer: -285, -6, 14\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -624506 (base 9) to base 5\nAnswer: -43330433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1348 - 7056*k**2 + k**3 + 7056*k**2.\nAnswer: k**3 - 1348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*r**3 - 67*r**3 + 32*r**3.\nAnswer: -111*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v + 25. Let a be s(1). Suppose -x = -5 + 2. Suppose x*r - 5 = a. Is r at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 483743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.77 - 0.97. Suppose 4*j - 15 = -j. Sort j, z, -1.\nAnswer: -1, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-35))\/1*5*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -87*h**3 + 8*h**2 + h - 7. What is p(1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*q + 93*q = -1550778. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvooza.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2606261?\nAnswer: 7, 53189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 251 = -59*u, -3*u + 37 = -98*p + 103*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -32.275 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.7929 minus -1438.163628?\nAnswer: 1453.956528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11448397*-16.\nAnswer: -183174352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20 - 20 - (0 + -3 - 2). Suppose -5*a - 345 = -5*c, -2*c = -6*c + g*a + 274. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 2\/697  (c) 2  (d) -2\/7  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 11*y + 181. Let l be m(-15). Solve -s + 11 - l = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2531196+-24459\nAnswer: 2506737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 295 = 5*y, -4*y = 4*d - 102 - 166. Let n(v) = -v**3 - 4*v**2 - 4*v - 2. Let i be n(-4). What is the highest common divisor of d and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7\/2, 0.3, 0.285, -89, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3.10905 + -8757.8\nAnswer: -8760.90905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 21*u + i - 8 = 0, 3*i = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2*6\/4 - 8786\/(-2645) and -67\/184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-48)\/30 - (-2)\/(-5). Let o be 2*(3 + k) + 0. Solve -m + o*x = 13, 0*x + 9 = 2*m + 3*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1355 divided by -5?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 7*n**2 - 5*n + 1. Suppose -2*g - 4 = q - 1, 0 = 3*q - 2*g - 31. Let o be (12\/q)\/(6\/21). Give y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3605*l + 1395 - 1395.\nAnswer: -3605*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 352592 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -7*m**5\/5 + 5*m**3\/3 - 4. Find the third derivative of h(j) wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 126 + -631\/5. Sort -3\/29, 1\/5, c, -1\/4 in descending order.\nAnswer: 1\/5, -3\/29, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 483, 482, 481, 480, 479?\n\"Answer: -x + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 224451 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 239942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15733 + -15733. Let i(g) be the third derivative of 0*g + v - 7\/18*g**3 - 1\/12*g**4 + 1\/180*g**5 + 26*g**2. Determine z so that i(z) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2 or 750365571?\nAnswer: 750365571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11121010 (base 3) to base 14.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -8*q**3 + 5*q - 3. Suppose 0 = 3*r - f + 2, 3*r + 3*f = f + 13. Let l(n) = -n**3 + n. What is r*h(u) - 6*l(u)?\nAnswer: -2*u**3 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + 20\/(-126))\/((-2596)\/154 - (-8 + -9))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -831205*k**2 + 831215*k**2 + 2230 - 2230.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9383 (base 10) to base 12.\nAnswer: -551b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -67.990777796 + -0.009139204. Let v = n + 68. Round v to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -8 and 170392115.\nAnswer: 170392107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 174006979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -6. What is the lowest common multiple of -2*9\/(-2)*1 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**0\/b))**(-5\/4)\/(b\/b**(-2\/7))**(-10))\/(((b\/((b**1*b*b*b)\/b))\/b*b)**(-14\/9)*b*b**(-1\/2)*b**6) assuming b is positive.\nAnswer: b**(47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -425 - -596. Let m = 1541\/9 - i. Solve -2\/9 - 4\/9*d - m*d**2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10, -0.75, 2\/13, -2, -0.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12996 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/9 + 4*i**2\/9 - 77*i\/9.\nAnswer: i*(i - 7)*(i + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -q**4\/12 - q**3\/3 + 2*q**2. Let c be a(-4). Let p(s) = 0*s**3 + 3 + 3 + c*s**3 - 5. Determine p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**3 + 20*f**2 + 11*f - 4. Let n(r) = -12*r**3 + 78*r**2 + 45*r - 15. Let o(c) = 15*b(c) - 4*n(c). Determine p, given that o(p) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3 + 9900*g**2 - 59265*g + 88830.\nAnswer: -5*(g - 1974)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**3\/7 + 58*g**2\/7 + 16*g = 0.\nAnswer: -56, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 4. Suppose -3*t + 2*h = -11, -t - 4*t - o*h + 11 = 0. Solve 0 = -4*p - 4*b + 12, -4*b = t*p - 3 - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7488\/35 or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*m**2\/11 + 1682*m\/11 - 1124\/11.\nAnswer: 2*(m + 281)*(3*m - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14404047 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6936861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 65*v**3\/7 - 904*v**2\/7 + 761*v\/7 + 78\/7 = 0?\nAnswer: -6\/65, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55486 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 59 = 3*r - 46, x - 13 = r. What is the lowest common multiple of x and 51?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 3*k - 13. Let n be v(9). Suppose 0 = -2*h + n + 26. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -48*s**5\/5 + s**3 + 6*s**2 + 111. What is the third derivative of n(w) wrt w?\nAnswer: -1152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from xjxkvj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 29, 3, -6501, 0.2, -23, 2, 1?\nAnswer: -6501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 5*s**2 - 8*s + 14. Let m(w) = 80*w - 1. Let q be m(1). Let t = 84 - q. What are the prime factors of o(t)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -125 - -133. Suppose -29*v + d = -27*v. Suppose 3 = w - x, -x = 4*w - v*x - 17. Calculate the highest common factor of 64 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1481 by 779.\nAnswer: 1481\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.86 + -4.6. Let c = x - 0.21. Let n = c + -0.0522. What is n rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 15 = 0, -20*v + 24 = -5*f - 18*v. Does 93 divide ((-3152)\/f)\/((-18)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - q - 22 = 0, -2*y + 2*q = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36 - (-34 + -1)) + (29 - -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3299 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 402702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 - -32. Let g be (-6)\/(-36)*-9*(f - 9). Suppose -6*a - q + 5 = -2*a, 3*q = -2*a + g. Which is greater: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.1 in -3, 62, 7, 13, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1951016153?\nAnswer: 79, 24696407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**4\/6 + o**3\/6 + 2*o**2. Let m be l(2). Let d be 2\/m + 119002\/7. Round d to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of c**3\/3 + 9*c**2\/2 + c + 24. Determine x(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + (sqrt(3) - (sqrt(3) + 2)) + -2 + (((sqrt(150) - (sqrt(150) + (sqrt(150) - -1*sqrt(150)) - sqrt(150)))\/sqrt(5))\/(1*sqrt(810)))**2.\nAnswer: 109\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 0 = -3*b - 1, 4*h - 84 = -4*b. Let y(c) = 3*c**2 - 5. Let k(s) = -10*s**2 + 16. What is h*y(j) + 5*k(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 3*m**2 + m + 150. Calculate g(0).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -147*i + 54564. What is y(371)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14947*o**2 + 2*o - 11709?\nAnswer: -29894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95 = -14*j - 3 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11.39 and -0.2.\nAnswer: 2.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 2.2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -263203, -5, 1 in increasing order.\nAnswer: -263203, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 169 and 12.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 221*b - 224*b + 183. Let v = b - -108. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 238585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 5*q**5 - 8635*q**4 - 69295*q**3 - 182065*q**2 - 190810*q - 69400 = 0.\nAnswer: -4, -2, -1, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-17))\/t**(-2\/5))**(1\/2) assuming t is positive.\nAnswer: t**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**2 + 22*j. Let q(a) = -a**2 + 2*a + 2. Let x(v) = -5*v**2 + 11*v + 11. Let s(g) = 11*q(g) - 2*x(g). Give s(p(r)).\nAnswer: -4*r**4 - 88*r**3 - 484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 5*y**2 - 1455*y + 2890 = 0?\nAnswer: 2, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4 + 6 = 0. Let k be (-12)\/(-42) + 12\/7. Suppose -2*d = k*d - 20. Solve -3 = w*h + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 7. Let p(j) = -6*j - 40. Let n be p(-20). Suppose 3*h + 7*h = n. Suppose 4*o + 60 = -h*o. Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1413  (b) 5  (c) -0.4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10191 - 10207 - 10210 - 10210 - 10205 + 51023 + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -495.2 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-69)\/6)\/(1\/12*-3). Is 46 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27842700?\nAnswer: 2, 3, 5, 92809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2518799, -5037609, -7556419, -10075229?\nAnswer: -12594039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -399*t - 3 + 0 = 1072*t - 3. Factor 12321\/2*m**3 + 3\/4*m**5 + 111*m**4 + 151959*m**2 + 5622483\/4*m + t.\nAnswer: 3*m*(m + 37)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i. Let u(a) = -3*a**2 - 2*a + 2. Let z(y) = -7*y**2 - 5*y + 5. Let t(j) = 5*u(j) - 2*z(j). Calculate f(t(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(96) + sqrt(96) + -1*sqrt(96))\/sqrt(2) - sqrt(48))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -63*j**3 - 6*j**2 - 12*j - 7. What is the remainder when 91 is divided by u(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 241200?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 356006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -67*t + 121. List the prime factors of w(-6).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 595378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2346888831 to the nearest integer?\nAnswer: 48445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5\/2 + 7\/3. What is the nearest to -3 in -5, y, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1298158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1693243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3264 - -a411?\nAnswer: 7169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**3\/19 + 258698*h**2\/19 + 18357476*h\/19 = 0.\nAnswer: -129278, -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.8 + -1925785.\nAnswer: -1925786.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 26411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 3:28 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h**2 + 5*h + 11. Let s(p) = 13*p. Give n(s(w)).\nAnswer: -1352*w**2 + 65*w + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)\/n**(9\/2))**(5\/14)*(((n*n\/(n\/(n\/(n*n*n\/n**(-2)*n))*n))\/n*n)\/(n*n**(-7)))\/(n**(-2\/7)*n**(-1\/8)\/n) assuming n is positive.\nAnswer: n**(275\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/12*60\/(-40))\/(2\/(-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i - 2*t = i + 15, 518 = 2*t + 526 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -2) + -8 + 13 + -5 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(60)\/sqrt(5) + sqrt(12))*-4)**2 + -4 + (sqrt(60)\/((sqrt(5) - -1*sqrt(5) - sqrt(5))*-6) + -4)**2 + 1.\nAnswer: 8*sqrt(3)\/3 + 13864\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-10\/3)\/n**(-1\/8) assuming n is positive.\nAnswer: n**(-77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 4, t: 1, y: 3, s: 6, i: 3}. What is prob of sequence zt?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s - 32*s + 294 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**2 + 67*o**3 - 4665 + 34*o**2 - 34*o**2 + 4665.\nAnswer: 67*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -1  (b) -0.4  (c) -5\/163  (d) -0.3  (e) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*o + 7*o + 2651 = -13*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -462, -933, -1404, -1875?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-18194)\/(-55))\/(9 - (-344)\/(-40)) is divided by 119.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 6:07 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41470?\nAnswer: 2, 5, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11130 and 30.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17\/13 + -15\/13. Let l = -71 - -84. Which is the nearest to 1?  (a) l  (b) m  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -211, 2 in increasing order.\nAnswer: -211, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10000121111012 (base 3) to base 5\nAnswer: 402400333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*d = 2119, 8502 = 4*u - 3*d + 8*d. Suppose 0 = 5*k - u - 3242. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 35707*t - 1214078. Calculate w(34).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -1319, -4332, -10215, -19928?\nAnswer: -34431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000529227 to 7 dps.\nAnswer: 0.0000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 a factor of 137484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*h**4*y + 3*h**3*y**3 - 4*y**3 - 14*y**2 wrt h?\nAnswer: 36*h**3*y + 9*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -250, -1018, -2308, -4120, -6454, -9310?\nAnswer: -12688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 188021982 a multiple of 6768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000102953 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 285 in 76, 0.01, 10?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4136055 (base 7) to base 12.\nAnswer: 1bb540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(1512) - (-3*sqrt(1512)*-2 + sqrt(1512))))\/((sqrt(96)*2 + -1*sqrt(294) + sqrt(6))*-5))**2 + 3.\nAnswer: 20487\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 52 in 5, -5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 1037952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ododyooaooaoooovooy. Give prob of picking 2 d and 1 a.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/((10\/5)\/(-2)). Suppose -2*j = -l*j - 8. Suppose -22 = -j*b - 2. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 2*j + 10. Let a be k(2). Solve a*s = -7 + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/35757 and 37\/27.\nAnswer: 107271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + -5. Let o = j - 9. Put 3, o, -2 in ascending order.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 183 + -177. What is the remainder when 64 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (-20 - (41 + -44)) + 160\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -509.05 + 509. Let r be ((-18)\/8)\/(3\/2). Which is the third smallest value?  (a) w  (b) r  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112 + -114. What is the closest to h in -1\/5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 - (44 - 83 - -85)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8672*h - 3619*h - 672*h.\nAnswer: -12963*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 5 + (-12 - -8) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -17*q**4 - 10*q**2 - 5*q - 5. Let r(d) = 9*d**4 + 5*d**2 + 3*d + 3. Let j(m) = -3*i(m) - 5*r(m). What is the third derivative of j(n) wrt n?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + 4*v - 24. Determine b so that 3 + 4 + 9*b**v + 3*b - 15*b**3 - 7 + 3*b**2 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 + 7*n)*(595*n + 30 - 149 - 594*n)*(5 - 3 - 3).\nAnswer: -7*n**2 + 833*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5 - 1 - -4*13. Suppose -3*c = 5*u - 48, 5*c - 12 + o = 2*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 669*-0.4\nAnswer: -267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + (sqrt(99) + 0 - sqrt(99))**2 + 5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*h + 108. Let x be 168\/h - (-4)\/(-18). Suppose 5*q - x*q = 0. Solve 0 = 2*j + j - 5*k + 7, q = j - k + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s**2 + s - s)*((3 + s - 3)*(0*s + s - 2*s) - 5*s**2 - 4*s**2 + 6*s**2) to p + y*s + q*s**3 + o*s**4 + r*s**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 497 = 5*n, n + i - 6*i = 104. Suppose -2*t - 5*q = t - 32, -t - 6 = 5*q. Let f = t - 10. What is the greatest common divisor of f and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/(-10))\/(5\/(-30)). Suppose t = 7*p - 6*p. Suppose -90500000 = -p*n - 2*n. Round n to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12102\/21 - 14\/49 and 792.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 415 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 0 - (3 - (-4 + -19)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7730 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.1691 - -0.168418. What is j rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12463751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 811510 and 98.\nAnswer: 5680570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of -o**5\/15 - 3*o**4\/2 - o**2 + 6. Solve s(c) = 0 for c.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 25 = 3*j, -j + 1 + 22 = -5*z. Calculate the highest common divisor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((260\/(-6825))\/((-6)\/27))\/((-1)\/10)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34*s**4 + 6*s**4 + 99*s**4 - 3*s**4 + 0*s**4 + s**4 + (2*s + 3*s - 6*s)*(-2*s + s**3 + 2*s) - 3*s**2 + 3*s**2 + 2*s**4.\nAnswer: 70*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4614 = b - 3*b, -3*s + 11551 = 5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*i = -71*i - 4*c - 63, -4*c - 45 = 5*i. Factor -18\/5*y + i + 3\/5*y**2.\nAnswer: 3*(y - 5)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 - 2*f**2 - 3*f. Let a be z(-2). Let u be (-8)\/24 + a\/(-3). Find the third derivative of -5*s**2 + 0*s**2 - u*s**5 + 6*s**2 - s**5 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l**2. Let f be 4\/12 + 10\/6. Let t(c) = -4 + 4 + 26*c**2 - 21*c**f. Determine t(r(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 5:44 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -51 and 63.1.\nAnswer: -3218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 8:26 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*d*f*s**2*u - 4*d*f*s*u**3 - 7*d*f*s*u**2 - d*f*s - 48*d*f*u**3 + 32*d*f*u**2 - 30*s**2*u**3 - 2*s**2*u wrt u?\nAnswer: -24*d*f*s - 288*d*f - 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -64*a**2. Let c(p) = -24*p + 46*p - 22*p - p**2. Calculate u(c(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 130025515 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of l**4\/4 + 2*l**3\/3 + l**2 - 17*l. What is the remainder when 65 is divided by d(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 21*k + 71. Give d(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 5:28 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -83, -2\/23, 116?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 45 = 16*j. What are the prime factors of ((-118)\/(-8))\/(j\/(-140)*-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 76 = 2*i. Suppose -4*j - 156 = -5*g, -g - j - 5 + i = 0. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - (-3)\/1 - -2. What is the common denominator of 158\/i - (3 - 0) and 76\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -22*h**2 + 437*h - 23. Give z(20).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4 + 28*g**3 - 66*g**2 - 220*g - 125.\nAnswer: -(g - 25)*(g - 5)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (415*a**4 + 410*a**4 - 1637*a - 823*a**4)*(3*a - 4*a - 3*a).\nAnswer: -8*a**5 + 6548*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, p: 3, q: 4, s: 1, f: 1}. Give prob of sequence sqf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - 3*d**3 - 15*d**2\/2 - 5*d - 108. Let r be i(-7). Solve 0*v - r*v = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2741876 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*k - 162*k + 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 157122351059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvsytpvyvyoy. Give prob of sequence sp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17)*-2 + -2 + 5.\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 334251?\nAnswer: 2\/334251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 79156 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(144) + sqrt(144)*-2))\/(sqrt(36)\/sqrt(4)*3))\/(sqrt(1152) + (sqrt(1152) - 1*sqrt(1152))*-2 + -5*(2*sqrt(1152) - sqrt(1152))).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*x - q - 30, 4*q = -x - 15. Let m(z) = z. Let v be m(2). Suppose -263 = -d - y, 0*d - x*y = -v*d + 498. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.492 or 4?\nAnswer: -0.492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 at least as big as -0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 796 and 596426084?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t + 6. Let g be d(-11). Let c = -11 + g. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-196)\/504 + 20\/(-45).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + v + 26 = j, -3*v = -12. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 878983122 to the nearest integer?\nAnswer: 29648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 4*j**2 + j + 3. Let b be h(-4). Let g be (-4)\/(b\/(3\/6)). Is g <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -221686, -221691, -221696, -221701, -221706, -221711?\n\"Answer: -5*i - 221681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1835*z - 26*h - 66 = -1829*z, 2*z = 5*h + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 11. Suppose 4*n + 1 - d = 0. Let j = n - 0. Solve -j*y + w - 8 + 2 = 0, 2*w = 5*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8 and ((-62)\/20 + 3)*52\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*t + 7*t + 2*t**5 - 4)*(-3 - 3 + 1).\nAnswer: -10*t**5 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -2*z**2 + 4*z - 49. Let n(d) = 8*d**2 - 13*d + 151. Determine -7*g(m) - 2*n(m).\nAnswer: -2*m**2 - 2*m + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90432490 divided by 45216245.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*c + 4*c + 36. Solve -f - c = 5*o, -f + 4 = -2*f - 3*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, o: 1, c: 1, f: 1}. What is prob of picking 2 y, 1 c, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 25*n - 21*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((7946\/137)\/174)\/(2\/90)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 394 = -2*z + 2*h, 2*z - 5*h = 167. Let p be (-6)\/((-9)\/6 - -1). What is the highest common factor of p and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -7105130?\nAnswer: 710513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -869 in -2\/3, 2\/15, 1.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -3*d - 5*o + 26, -o - 71 = -4*d. Solve 0*v + 4*v = -5*x - 33, 0 = v - 4*x - d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4 + 10*r**3 + 72*r**2 - 216*r - 864.\nAnswer: -2*(r - 6)**2*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 31, 61, 95, 133, 175, 221?\n\"Answer: 2*b**2 + 24*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(77)*3)\/(sqrt(176)*-1).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 7 + 3)*(-1 + a + 1) - 25220*a - 2 + 27513*a + 2 - a + 0*a + 0*a as i + n*a and give n.\nAnswer: 2291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22697, 46547, 70397, 94247, 118097?\nAnswer: 141947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -447236, -447241, -447246?\nAnswer: -447251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*j**2)*(-174 + 174 + 5*j + (2 - 1 - 2)*(-j + j - 2*j) - 2 + 2 - j + j + 2*j - 6*j) to the form d*j**2 + v*j**3 + m + r*j and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3493.7, 6, -4, -0.1, -1.1, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 204*s**2 - s + 2. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-2)*836\/57. Solve -2*d - 14 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 61822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**4 + 4*w**2 + 5*w - 2. Let h(y) = y**4 - 2*y**2 - 3*y + 1. Let o be 12\/(-6) - 10\/(-2). Let g(a) = o*j(a) + 5*h(a). Determine c so that g(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 9. Suppose j = -16*r + 20*r + 444. Let l = r - -188. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6964774 is divided by 5804.\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 3*r + 13. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -277 - 1?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1266 + 1741. List the prime factors of f.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7787 and 5355659.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2 + 4 - w - 1 - w**3 + 0*w. Let f(o) = -1 - 16*o**3 - 4*o + 3*o + 24*o**3 - 15*o**3 + 7. Give f(g) - 6*q(g).\nAnswer: -g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154796.\nAnswer: 2, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 513366 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 3 = 4*y - 2, -5*y + 11 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 73\/25 - 52\/(-650). Solve -5*p - 14 = -c, -3*p + v*c = -2*c + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, o: 1, l: 2, t: 2, x: 2}. What is prob of picking 2 l and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, s: 5, k: 5, i: 1}. Give prob of picking 2 k and 2 j.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-3))\/(((-500)\/175)\/(-10)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - -50. Let t = 306 - p. Does 33 divide (t\/(-6))\/(30\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -4*v + 326, 5*v = -4*g + 477 - 75. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**3 - 32*n**2 + 84*n - 72 = 0. What is n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 2*j + 232 = 0. Let d = -27 - j. Solve -5*k + 2*p + 6 = 0, -2*k + 2*p = -d*p + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9+17504.112095609\nAnswer: 17495.112095609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 o, and 1 w when three letters picked without replacement from sswsuon?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - (-6)\/4)*-18. Let m(w) = -w. Let d be m(0). Solve 0 = -5*r - l + 2, 0 = 3*l - d*l + t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1276, -4322, -9190, -15880?\nAnswer: -24392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/(-35)*40\/(-108))\/(-4 - 2 - -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44052 (base 6) to base 3.\nAnswer: -22100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - i - 21 = 0, 2*m + i - 3 = m. Let a(k) = -k**3 + 2*k**2. Let c be a(2). Solve m*n + c*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 4. Let w be q(-7). Let c = -3 + w. List the prime factors of (-6)\/(-3) + c + 27.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**2 + 2*o - 2*o + ((-o + 1 - 1)*(0 + 4 - 3) - o + 0*o - 3*o + 3*o - 4*o + 0*o)*(0*o + 4*o + o).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 656 and 656 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1653981 by 2.\nAnswer: 1653981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/(-6) - -3)\/((-5)\/90). Solve -4*y + 9*y = -k + c, 3*y + 2 = 5*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 77 - 53. Let k be (-909998)\/14 + f\/(-168). Round k to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 11*g**2 + g - 6. Suppose -3*x + 4*l - 28 = 6*l, l = -4*x - 39. Let r = x - -21. Let w be a(r). Solve -u - u = -2*f - 8, -f - w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -3*b**5\/7 + 7437*b**4\/7 + 89853*b**3\/7 - 441141*b**2\/7 + 582990*b\/7 - 239136\/7 = 0.\nAnswer: -16, 1, 2, 2491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4 + (5*(1 + sqrt(252)) + -2 - (sqrt(252) + (sqrt(252) + 1)*2 + -1))**2.\nAnswer: 48*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(6 + 6)*(-181)\/(13213\/(-22995))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 646 + 383 - 729 = -30*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 16. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**2 + 26. Let n(m) = -395*m. Give r(n(g)).\nAnswer: -468075*g**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t - 9. Let f be i(-13). Suppose 190 + 2770 = -f*n. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*z = -159*z + 79*z + 159. What is the nearest to 2\/5 in 0.08, z, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2 + 19\/(228\/27).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fz when two letters picked without replacement from ugvguuuvuvfuuvuuzgvg?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**2 + 7325*f - 12477850 = 0. Calculate f.\nAnswer: 2695, 4630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -35  (b) -2\/11  (c) 22  (d) 2  (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 1:59 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1411*o + 20512 = -2052*o for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -23 + 34b06?\nAnswer: 34aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.74804 - 33559951?\nAnswer: -33559950.25196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 2. Let d = g + -2. What is the closest to 1 in d, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/13, 3\/917, 0.3, 1, -7, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus 0.00863?\nAnswer: -0.30863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1892\/5*m - 4\/5*m**2.\nAnswer: -4*m*(m - 473)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -17. Let m(w) = -w**2 + 52. Determine -3*m(x) - 8*s(x).\nAnswer: 3*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23323 (base 5) to base 14.\nAnswer: 8a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -167\/102 + -1\/34. Suppose -3*w - 12 = -3*u, -5*u + 5 = -0. Let y be (-12)\/w + -2 + -2. Which is the closest to 0?  (a) 1\/4  (b) r  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h - 313. Let y(u) = -u**2. Give k(y(j)).\nAnswer: -3*j**2 - 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -6d73 (base 15) to base 2\nAnswer: -101101011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 89\/5, -0.25, 2, -2\/11, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*v + 12, -4*j = -5*v - 5. Let k(x) be the second derivative of -x**3\/3 + 7*x**2\/2 - x. Determine k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 5, -5, -182, -81, -111 in increasing order.\nAnswer: -182, -111, -81, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 6:09 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 2*m**5 - m + m**3 + (523*m**4 - 4581 + 4581)*(-5*m + 3*m + m).\nAnswer: -521*m**5 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddidddid. What is prob of picking 3 d and 1 i?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 = k - 2*n - 102, -2*k + 2*n + 416 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-459)\/(-204)*16\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7440206176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is d (base 14) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -30*t**2 - 7*t. Calculate f(-2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iweiiiicwcivwucw. What is prob of picking 1 i, 1 w, 1 u, and 1 c?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1185 - 1357*t**3 - 1191 + 3562 - 1186.\nAnswer: -1357*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2393 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y + 13. Let d be j(13). Let q be 0 - (-2 + 2 - d). Let h(w) = 4*w - 5*w + q*w. Let o(r) = -5*r**2. What is o(h(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15089, 30178, 45267, 60356, 75445, 90534?\nAnswer: 105623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 2 - (-5 + 1 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*y - 25*y - 8*y - 20*y - 12*y + 1.\nAnswer: -12*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61 + -66. Let b be (-2)\/v - (-130)\/50. Solve x + 9 = b*z, 2*x - 5*z + 17 - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*a**3 - 4954*a**4 + a + 6 + 14*a**3 + 4952*a**4 in the form s*a + q + c*a**3 + b*a**4 + i*a**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 0 - 2)*(-1 - 2 + 2) + 2 - 4 + 1)*(-10*y**4 - 38*y**4 + 7*y**4).\nAnswer: 123*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 4 + (3*sqrt(48)*-1*4)**2 + -3 + 3.\nAnswer: 6918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 4 = -2*i, 7*f - 14 = 2*i - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24032412133 - 3?\nAnswer: 24032412130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i - 46. Let b be q(-12). Sort b, -4\/5, 0.3, -0.14 in decreasing order.\nAnswer: b, 0.3, -0.14, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 577259.\nAnswer: 577259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 1\/480*r**6 + 1\/96*r**4 + 0 + 0*r - 1\/120*r**5 - r**2 + 0*r**3. Factor m(p).\nAnswer: p*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -9 + (-11 - -23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*a**3 - 16*a**3 - 11*a**3 - 14*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (22 - (-1605)\/(-75)) + (-21)\/60. What is the closest to -1\/4 in b, 5, 2\/7, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9650829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 446409915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 50 by -4.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*d + 3*q, 3*q = 2*d - 5*d. Solve d = 11*t - 55 + 66 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, -0.4, -0.3 in ascending order.\nAnswer: -0.4, -0.3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 - -30.5. Let r = -3 - n. Let y be -10 - (-20)\/75*33. Which is the biggest value?  (a) 1\/6  (b) y  (c) r  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.18 + -2.18. Which is the third biggest value?  (a) -4  (b) 0.3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74142050347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 551.709407 to one decimal place.\nAnswer: 551.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 10:49 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 4 = 2*y, 5*y - 10*p - 11 = -6*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 7210063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1158 divided by -171866.\nAnswer: 579\/85933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -4.1. Suppose -2*p - 4*d = -6, p - 4 = -3*d + 1. Which is the second smallest value?  (a) p  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/2 and (-7)\/(-14) - (-50)\/(-36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, a: 2, k: 3, u: 2}. Give prob of sequence aauk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 - -143. Suppose 5*z + 2*n - 193 = 4*n, 2*z = 2*n + v. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -116*w**3*y**2 + 116*w**2 - 3*w*y**2 - 2*y**2 wrt w?\nAnswer: -696*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yywywgllgyqywlygggr. Give prob of sequence lr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 + 370*w + 6*w**2 + 25 - 368*w + 27.\nAnswer: 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 1 + 4)*(1 - 1 + 2*w) to a + l*w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 3, q: 2, s: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -3*i**4\/2 - i**3\/3 + i**2\/2 + i + 31. Determine j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1526 divided by 584\nAnswer: 763\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -1 + 0 - 19*d + 37*d - 17*d. Let y be ((-8)\/10)\/(10\/(-25)). Let a(i) = -3*i + 2. What is y*a(n) + 5*o(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, m: 1, f: 1, n: 2, a: 7, j: 2}. What is prob of sequence am?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -3*i - 44, -2*w - 3*i + 67 - 155 = -66 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - l - 7. Let x(i) = i**2 + 7. Let b(a) = 6*t(a) + 5*x(a). Suppose p = -5*o - 11, -8 = 4*p - 4*o + 12. Give b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.6 or -4984035?\nAnswer: -4984035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + 2)*(39*y - 16*y + 6*y + (-1 + 0 + 2)*(-1 + y + 1)) in the form s*y + d and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18*60\/810)\/(7\/231)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2757 + 2*g**2 + 0*g**2 - 2757.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*l**2*u**3 + l**2*u + 6106*l**2 + 28063426*l*u**3 + 7*l*u**2 - 49*u wrt u.\nAnswer: -48*l**2 + 168380556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 20528 and -0.3.\nAnswer: 20527.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 280 and 6790?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 341046184 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/20*(-55)\/66?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-57211520.\nAnswer: -5721152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5596555 plus -0.22?\nAnswer: 5596554.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07098674055 rounded to five decimal places?\nAnswer: 0.07099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15\/2, 0.16, -0.6 in decreasing order.\nAnswer: 0.16, -0.6, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1884 is divided by 68?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1224 = 339*a - 6573 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 10:16 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -415923*g - 2570. Is s(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -193\/5. Which is the nearest to 4?  (a) t  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*k + 24*k + 12. Suppose -x = -15 + k. Solve 2 = -x*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134596125?\nAnswer: 3, 5, 181, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 21*y**2. Let u(p) = -9596*p**2. Calculate u(q(m)).\nAnswer: -4231836*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 12:52 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 12*g**2 + 502*g - 5381. Let c be o(11). Suppose -229 = -3*i + 911. What is the greatest common divisor of i and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z - 3. Let c(y) = -y**2 - 108*y - 2. Let i(a) = -3*a**2 - 431*a - 12. Let o(x) = -4*c(x) + i(x). Suppose b + 0 = -3. Give b*d(m) + 2*o(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (14\/(-196))\/((-2)\/8). What is the second biggest value in m, -9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 7) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66188368 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, -13, 0.78, 8, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -7) + 1 + -2 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, n: 2}. What is prob of sequence nno?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(12\/9) - 1. Suppose 2*d + 5*g - 23560 = 0, -6*d + j*d = 4*g - 47120. Let w be (-500)\/(-3 + 35339\/d). What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14 and 42?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -513?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = 3*x - 23. Let c be (-1)\/(27\/x - -2). Solve c = -n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1810*m - 746 + 1474 - 728 as v + u*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1080 + -16201\/15. Suppose -5*p + 2 = 7. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 3 = -5*p. Which is the nearest to 2\/7?  (a) p  (b) 3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3489 - -31367\/9. What is the common denominator of w and ((-247)\/38)\/(2\/(-10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 2*y**2 + 1. Let f be s(1). Suppose -3 + 7 = w. Let l be (-54)\/w*f\/3. Calculate the greatest common factor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - k = 32249. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**25*f**(-4\/7))**(-1\/21) assuming f is positive.\nAnswer: f**(-57\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - h - 45 = 0. Suppose -2*o = 4*j - 267 - 701, 2*o + 952 = 4*j. What is the highest common factor of h and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 3*n + 8, -2*b + 3*n = -b - 4. Let y = 151 + -134. Solve -y = -j - 3*o, 0 = 3*j - o - b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-60)*16\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*g - 10, -4*b - 5*g = -0*g - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 64 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -7*c**3 + 7*c + 3. Let m(f) = -133*f**3 + 133*f + 56. Determine -56*i(n) + 3*m(n).\nAnswer: -7*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 11*k = 25374. Is k 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 zpppwzpzzhzzchzcczz. What is prob of sequence phz?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 3*k**2 + 3. Let c(v) = -6*v + 1. Let o(j) = -3*c(j) - 2*s(j). What is the remainder when 79 is divided by o(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 736 * 0.946044\nAnswer: 696.288384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -148*a**3 + 6*a**2 + 7*a - 42. Let u(k) = 444*k**3 - 17*k**2 - 21*k + 124. Let y(j) = 17*m(j) + 6*u(j). Find the second derivative of y(q) wrt q.\nAnswer: 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -366 less than 281378?\nAnswer: 281744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 12:01 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*c - 98 = -202. Calculate the greatest common divisor of 188 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 306 - 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 15\/((-180)\/8) - (-56)\/12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131 divided by -301782?\nAnswer: 131\/301782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 68463524 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k**3 - 29*k**2 - 70*k - 6. Give q(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -491 + 495. Let t(f) = f - f - 3*f + 10 + 2*f. Let m be t(7). Solve m*x - h*l + l = 12, -4*l - 21 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2205 + 3443 - 242 - 1093 + 5029)*((0 - 2 + 3)*(-i + 0*i + 3*i) + i - i + 5*i) in the form g + u*i and give u.\nAnswer: 65394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l + 3*l + 8*l. Let q(d) be the second derivative of 0*d**3 + 3*d + 0*d**2 + 5 + 1\/12*d**4. Calculate q(m(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - ((-616)\/121 + -4)) + 6 + (-156)\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61966105741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 687225037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9020283?\nAnswer: 3, 3006761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.2 * 1054.\nAnswer: -13912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -8*d**2 + 27 + 17 - 42 + 6*d. Let a(n) = n + 8. Let o be a(0). Let c(x) = -o*x + 6*x**2 + 4 + 21*x - 23*x**2. What is 6*c(h) - 13*s(h)?\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4147036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j. Let v(r) = 515*r**2 - 9*r + 27. Suppose -38*a - 66 = -5*a. Let y(n) = 129*n**2 - 2*n + 6. Let l(c) = a*v(c) + 9*y(c). Determine q(l(w)).\nAnswer: -131*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 - 2*h + 15. What is m(-5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 150097 (base 14) to base 6\nAnswer: 23351445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3167*r**2 - 1589*r**2 - 1604*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s**3 + 4*s**2 + 3*s - 5. Let z(o) = o**3 - 28*o**2 - 59*o - 22. Let c be z(30). Let r(d) = -11*d**3 + 6*d**2 + 5*d - 8. Calculate c*p(m) - 5*r(m).\nAnswer: -m**3 + 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - (-1)\/(-2))*(12 - 10). Let h(m) = 8*m - 9 + f - m - 12*m. Let l(r) = -1 + 0 - 4*r + 3*r. What is h(a) - 4*l(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pka when three letters picked without replacement from fkhaaap.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 97 + 84 - 179 - 96*q**5 + (4*q + 2*q - 5*q)*(2*q**4 - 2*q**4 + q**4).\nAnswer: -95*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (18 - 15 + 21)*(-18*i**2 - 7*i**2 - i**2 + (-2*i**2 - 2 + 2)*(-2 + 0 + 1)) in the form p*i**2 + y*i + x and give p.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2839*y + 4536 = -2677*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/156 and -71\/351?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6b1a6 + 2?\nAnswer: -6b1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/7  (b) 1  (c) -12  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1857101, -1857100, -1857103, -1857110, -1857121?\n\"Answer: -2*v**2 + 7*v - 1857106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 617406.66 rounded to the nearest one thousand?\nAnswer: 617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**3 + x**2 + 516*x - 1034*x + 6*x**3 + 515*x. Calculate g(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5520.591 kilograms?\nAnswer: 5520591000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 205, 317, 427, 535, 641, 745?\n\"Answer: -a**2 + 115*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (620\/(-558))\/((-30)\/(-1890)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c - c**4 + c + 0*c**4 + 0*c**4 + c**4 + (3*c**4 + 2*c**4 - 3*c**4)*(0 + 2 - 1) + 0*c + c + 3*c**2 - 4*c**2 - c**4.\nAnswer: c**4 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 7:02 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 434069640.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95227 - 8318 = 1755*h for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -5  (c) 1  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 785815.\nAnswer: 5, 157163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16830881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -87 in -3\/8, -0.1, -1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 518*q - 427*q - 951 = 869 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50 - 50 + 2*j**3)*(j - 4*j + 5*j) + 71*j**3 - 5 - 71*j**3 - 13*j**4.\nAnswer: -9*j**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 2\/5609803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8070728*p**3 + 61*p**2 - 20585?\nAnswer: -48424368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10881 and 18135.\nAnswer: 54405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/45  (b) -1  (c) -0.35  (d) -2\/36547\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 AM and 7:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2545 = y + 2546. Sort -3, 4, y, 2, 7 in descending order.\nAnswer: 7, 4, 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 33*a + 15. Let v(c) = 8*c + 4. Let n(u) = 2*b(u) - 9*v(u). Differentiate n(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**2 + 2*k**3 - 22*k**3 + 24*k**2 + 18.\nAnswer: -20*k**3 + 25*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42960378 is divided by 414?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*w + w + 42*w)*(2 - 5 + 1)*(4 - 4 + 2)*(-2 + 2 - 4*w) as p*w + y + i*w**2 and give i.\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (4\/30)\/(-28*(-29)\/(-20300))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**2 + 15*w. Let i(y) = 6*y**2 - 14*y. Suppose 8*z + 6 - 30 = 0. Let k(x) = z*a(x) + 4*i(x). Let v(g) = 4*g**2 - 5*g. Give 3*k(s) - 7*v(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 738, 1574, 2484, 3456, 4478, 5538, 6624?\nAnswer: 7724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -218 - -216. Let z be -3 - (-5 + -4 + 3). Suppose 2*s + 3*o = -0*s + 114, 5*s - z*o - 285 = 0. Sort c, 0, s.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1515 + 14?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 34281 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10925, 10929, 10941, 10967, 11013, 11085?\nAnswer: 11189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 + 5*b**2 + 2*b + 4. Let v be z(4). List the prime factors of ((-3)\/(-6))\/((-3)\/v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -31, 73, 245, 479, 769, 1109, 1493?\n\"Answer: -k**3 + 40*k**2 - 9*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/160*80)\/((-1)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 10 = -3*n, -s - 1 + 6 = -n. Suppose 19*r - 46 + 8 = n. Let u - 1\/2*u**r - 1\/2 = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 4*s**2 + s**2 - 6*s**2. Let x(h) = 11*h. Calculate x(j(c)).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2377 + 20187.20806\nAnswer: 17810.20806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 13\/1140 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(48\/(-140))*11*28\/(-539)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**2 - n - 1. Let q be z(-1). Let g(k) = -32*k + 2. Let u(r) = 33*r - 1. Let s(t) = 4*g(t) + 5*u(t). Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 29789765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*3\/6*-2. Calculate the smallest common multiple of ((-12)\/(-22))\/((-12)\/(-132)) and (1*-2 - 2)\/r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*p + 54*p - 245. Let d(v) = 143*v**2 - 2*v - 1. Let o be (5*2\/10)\/(-1). What is the remainder when d(o) is divided by p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24130 + 24130. Sort 257, 5, -5, k.\nAnswer: -5, k, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -d - 2*t + 2, -3*t = 2*d + 5. Sort d, -4, -2 in ascending order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1188*p + 80590 - 80590 to n*p + z and give n.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 605088?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 9*y**2 + 2*y - 2. Suppose 11*c - 13*c = -6*c + 44. Let d(z) = -45*z**2 - 11*z + 10. What is c*x(i) + 2*d(i)?\nAnswer: 9*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dii when three letters picked without replacement from qiiitiddiiitii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69354 - 20106. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10225041809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8.866417 grams?\nAnswer: 8866417000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8 + 1 = 0. Solve -5*c + 5 = 3*p - 4*p, -x*p + 2*c + 11 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2254442 - 12?\nAnswer: 2254430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, -2, 0.0210299, 4 in descending order.\nAnswer: 4, 0.0210299, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.93 + 0.07. Let o = -0.9 + n. Suppose -2 = -29*x + 30*x. Which is the nearest to 0.1?  (a) o  (b) 5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 5*v**4 - 4*v**3 - 4*v**2. Let g(a) = -a**4 + a**3 + a**2. Let l(c) = -4*g(c) - k(c). Let l(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, d: 1, s: 2, a: 1, f: 1, j: 9}. What is prob of sequence fza?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 1995*v - 75778. What is g(38)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2600321 is divided by 212.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llxyuyulx. Give prob of sequence xul.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 165*r**4 + 110*r**2 + r - 230951784.\nAnswer: 660*r**3 + 220*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 8:30 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 169181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9d0 (base 14) in base 8?\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52\/3 - -566\/33. Which is the biggest value?  (a) 0.2  (b) h  (c) 0.1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39643 - -58795. Is t a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -109 + 218 - 29 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -4  (c) 2  (d) 3  (e) -3  (f) -1762653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 0*v + 11 = -2*v, 3*x - 1 = v. What is the nearest to -0.4 in -2, x, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**(1\/2))*q*q**(-1)\/q)\/(q**(-2\/7)*q*q*q)**(-5))**26 assuming q is positive.\nAnswer: q**(2379\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 - 29*r + 30*r + 6 + 13 + 3*r**2 + 18*r**4 as d + w*r**4 + f*r + x*r**3 + z*r**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j + 28475 = 25*j. Let d = -2562 + j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k + 2*k - k)*(-k**2 - 4*k**2 + 3*k**2) + 21*k**3 + 23 - 23 in the form p + a*k**3 + o*k**2 + z*k and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1920 is divided by ((-21)\/42)\/((-19)\/1710).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.162 + -0.338. Sort 3, w, 2, 12 in increasing order.\nAnswer: w, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -568*f = 5309 + 3779 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 657964090.9 rounded to the nearest ten thousand?\nAnswer: 657960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0*a - 2*a + 0*a)*(5*a**3 + 7*a**3 + 11*a**3).\nAnswer: -46*a**4 - 46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 15, -1\/8, 0.5, 5\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**3\/5 - 8*d**2 + 154*d\/5 + 196\/5 = 0. What is d?\nAnswer: -1, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17584374?\nAnswer: 2, 3, 23, 127423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -98*c**3 + 16*c**2 - 5*c + 4. Let t be ((-385)\/10)\/7 - 4\/(-8). Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 7*f**2 + 1039*f - 156. Calculate the smallest common multiple of t(-150) and 3.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 977145.9l to millilitres.\nAnswer: 977145900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9c2 (base 15) in base 5?\nAnswer: 32312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 52050551 a multiple of 1033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.09, 0.2, 4.\nAnswer: -3.09, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 550580 is divided by 1546?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2464 and 1584.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + (-18)\/(-39))*-2*(-6)\/36. Let s be 0 + 0 - 12\/28. Which is the third smallest value?  (a) s  (b) t  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.9 + -4. Let t = -1.1 + v. Is 0 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 2)*(55 + 24 - 12)*(0*n**4 - 5*n**4 + 3*n**4).\nAnswer: -134*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 4*i**2 - 3*i - 6. Let r be t(-4). Suppose 4*n + 3*b = 264, -n + 3*b - 327 = -r*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 - -28. Let r be 1\/c - (588\/(-30))\/7. Sort -4, -1, r in ascending order.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q. Suppose 29*t = 32*t - 27. Let v(x) = 49*x**2 + t*x**2 - 12*x**2. Calculate i(v(w)).\nAnswer: -92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1651 - 1531. What is the lowest common multiple of (-12)\/(-1) + -5 + 3 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d - 42*d - 202 = 71*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-6)\/2)*21*1. Put k, -4, 4 in decreasing order.\nAnswer: 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) - (sqrt(56) - sqrt(6776)*-1))\/(sqrt(40)\/sqrt(5)*-5).\nAnswer: 11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 84*s**2 - 12*s - 42*s + 52*s to the form x + o*s**2 + k*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) - (sqrt(132) + (sqrt(132) + (sqrt(132)*1 - sqrt(132) - sqrt(132)))*-2 + sqrt(132) + sqrt(132))) + sqrt(132))\/(sqrt(48)*1)*5)**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -72*j + 193493 - 9029. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33 and 29667.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -323031951 by -3262949.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 7*p - 6. Let t be o(5). What is the second derivative of t*j**3 - 7 + 7 + 3*j wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 27?  (a) 0  (b) 2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 494588894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from eferrhzkf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -1\/18  (b) 116  (c) 0.2  (d) -5\/6  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -88*y**3 - 29*y**2 - 64*y - 10. Determine w(-2).\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1*31.7\nAnswer: -31.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 14 = -2*m - 5*k, 3*k = 5*m - 48. Let x = 13 - m. Suppose 2*s - 63 = 1. Solve -4*g + s = x*o + 12, 4*o - 10 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 6 - (3 + (0 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 1951*m - 7802. Let z be l(4). What is the fifth biggest value in -2, 2.7, -5\/4, z, 2.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (((-20)\/16)\/((-5)\/2))\/(4\/12208) is divided by 505?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1293015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1538470*u**3 - u**2 + 104824.\nAnswer: 9230820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 824.193 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5*t = -3*v + 51, 65 = 3*v + 4*t. What is the remainder when 73 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (31\/(-217))\/((-9)\/7)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*v**3 + 2533*v**2 + 3495*v + 954.\nAnswer: -(v - 318)*(v + 1)*(8*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 6*k = -4. Differentiate -g + 0 - 2*g - k with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, u: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14713 + -2?\nAnswer: -14715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6601 - -122012?\nAnswer: 112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 7*v**2 + 9*v - 14. Let t(u) = -u**3 - 7*u**2 - 3*u - 15. Let w be t(-7). Let k be d(w). Solve -4*c = 5*p - 11, 0*c + k*c - 16 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18704, 18636, 18568, 18500, 18432?\nAnswer: 18364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000409 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**3 - 5*g**2 + 5*g**2 + 2*g**3 - g**3 + 0*g**3 + (-3*g**3 + 5*g**3 - 3*g**3)*(5 + 3 + 1) in the form u*g**2 + t*g + j + l*g**3 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.07 + 4.93. Let y = 50 + -52. What is the closest to i in y, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56093 + -1 + (-139 - -128) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4598 smaller than 4598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.30508 litres to millilitres.\nAnswer: 11305.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l + 6. Let s(v) = -9*v + 19. Let t(q) = -3*s(q) + 8*z(q). Let x be t(2). Let g = -1.9 - -2. What is the nearest to 2 in 2, x, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q. Let o be a(5). Suppose 5*s + 0*b = b - 43, 5*s - o*b + 35 = 0. Let f be (12\/s - -1)*0. Is -3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - 1 - (0 + -12). Let i be w\/(1 + 0\/3). Let t(o) = 3*o**3 - 5*o**2 - 6*o. Let r(l) = 2*l**2 + 0*l**2 + 4 + 2*l - l**3 - 4. What is i*r(v) + 3*t(v)?\nAnswer: v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-2155)\/(-195) - 3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - w = w + 59446, 0 = -3*w - 18. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 - 3*j**3 + 13*j**4 - 15*j**4 + 2 + 2*j**3 to m*j**2 + z*j**4 + t + k*j**3 + h*j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 31, 36, 45?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4837 divide 868812266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (48\/(3 + 196\/(-68)))\/(60\/680). What is the greatest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**5\/20 - k**4\/12 - 35*k + 23. Let d(u) be the first derivative of h(u). Factor d(l).\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 - 6*n**2 - n + 6. Let w = -3730 - -3841. What is the remainder when w is divided by c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/1 + 13 - -2. Let a be (-1)\/(-1) + (-16)\/f. Is a smaller than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 147976534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -27.104, -5, -1, 0.17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10547*o**2*p**4 - 5*o**2 - 48*o + p**4 + 4 wrt p?\nAnswer: -42188*o**2*p**3 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 - 62. Let w(l) = -3*l**2 - 11*l + 1. Let c(t) = 2*t**2 + 10*t. Let m(v) = f*c(v) - 3*w(v). What is the units digit of m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 100103330 + -35?\nAnswer: 100103251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6598 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 44930, 179696, 404296, 718730, 1122998?\n\"Answer: 44917*d**2 + 15*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -525, -2044, -4579, -8130?\nAnswer: -12697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -312 + 332. Solve i - 2*v + 4*v = 10, -w = 2*i - 4*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (657 - -5) + -2 + 0 + 1.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + 89a?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.2 and -0.02 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 49536443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 87736 and 48466.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -2*m**3\/3 + 584. Let p(q) be the first derivative of 2*q**2 - 1. What is p(g(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*i + 7*i. Suppose 2*a - i*w = 3138, -a + w = -61 - 1506. Let n = -1076 + a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 16 = -10*m. Suppose -291 - 189 = m*l. Round l to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/38784 and 151\/24.\nAnswer: 38784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 539 - 537. Suppose -14 = -y*w - 3*j + j, w - j = 3. What is the least common multiple of 2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/r**(-3))\/(r*r*r*r\/(r\/((r\/(r\/((r*(r*r**(1\/2))\/r)\/r)))\/r))*r)*r\/(r\/r**(-3\/4))*r**(3\/5) assuming r is positive.\nAnswer: r**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 739*t + 3*w + 18 = 740*t, -2*w + 15 = t + 2 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 5*g**2 - 330*g + 5425 = 0.\nAnswer: 31, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, s: 8, n: 2}. What is prob of sequence jjss?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of g**6\/480 - 5*g**5\/48 + 67*g**4\/48 + 20*g**3\/3 + 4497*g**2. Solve c(i) = 0.\nAnswer: -1, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or -83?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0 - -28) + 3 + -21 + 27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 492348910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*((-2)\/3)\/((-60)\/3690)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(99) - (sqrt(99)*2 + sqrt(99))))\/(sqrt(441)*-2 - sqrt(441) - sqrt(9)))**2.\nAnswer: 25\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -97 - ((-71 - -23) + -156).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(-6) - (-67)\/3 is divided by (-2872)\/(-1795)*(-1)\/(-6)*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 171 and 1881.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 319060 and 619888.\nAnswer: 21696080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 41*z**6\/30 - 31*z**3\/6 - 20*z. What is the second derivative of k(y) wrt y?\nAnswer: 492*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 67 + -53. Let j = c + -12. Sort -0.5, 2\/9, 0.4, j in ascending order.\nAnswer: -0.5, 2\/9, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 38 = 5*y, -30*j + 26*j = -5*y - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5495, 21993, 49489, 87983, 137475?\n\"Answer: 5499*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2864633339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 599 + 9040 = 0. Let z be o + (3 + 0 - 6). Let j = 5543 - z. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.3388 - -4.3388. Let l be 65\/(-15) - 2\/(-6). Let g be 34\/(-70) + l\/(-14). What is the biggest value in h, 3, g, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43807442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + 13*z - 22. Let k be n(-15). Let d(v) = 3*v**3 - 15*v**2 - 6*v. Does 11 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (35 - -54) + (-2 - -9) is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - -23) + (346 - 335)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -329 * 7.99.\nAnswer: -2628.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 32151 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkbkkkkk. Give prob of sequence bkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**2\/7 - 198*k\/7 - 1368 = 0. Calculate k.\nAnswer: -114, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/60 and -53\/117?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 12 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/2275 and 203\/1950?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 156 = z, 4*j = 5*z + 110 - 2. Let w be (-176)\/j*(-9 + (1 - 2)). Let y be (132\/10)\/(6\/20). What is the highest common divisor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -23249043 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -102526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 2, 0 = n - 3*r - 1 + 2. Suppose -n*k + 120 = k. Let y = 43 + k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2320, 12362, 30120, 55594, 88784, 129690, 178312?\nAnswer: 234650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50*c**2*y**2 - 12*c**2*y + 677*c**2 + 313*c*y**2 + c*y - 4*c - 4*y**2 - 53*y + 1 wrt c.\nAnswer: 100*y**2 - 24*y + 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2578, 2587, 2596, 2605?\nAnswer: 2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58233 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33224085 is divided by 257551.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*n - 10 = 9, 0 = -4*b - 4*n - 12. Let u = 5 + -2. What is the second derivative of 3*s**2 + u*s**2 - 2*s**b - s**2 - s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - ((-5 - 2) + 1). Suppose -w*j - 4*m = 4, -j + 0*m + 3*m = -3. Suppose j = 2*x - 3*q - 343, x - 5*q - 31 = 123. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 19 - (7 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.103 less than -2628.564?\nAnswer: -2628.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 330 divided by -5.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1413359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-12)*-2*(-8)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -0.5, -11.14, -1 in increasing order.\nAnswer: -11.14, -1, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6 = -1. Let v = 9 - t. Let j(p) = -p + 4. Let d be j(v). Does 1\/3 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1 + (0 + 3 - 1)*(0 - 1 + 2) + 4 + 2 - 5)*(0 - 6 + 7)*(-2 + 2 + s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 42a7666?\nAnswer: 42a7669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2205)\/294*((-220)\/6 + 2) is divided by 57.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -14\/41  (c) -0.5  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 168 in -4\/3, 1, -4.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 5*a + 17, 2*c + 4*a - 2 = 0. Suppose -b - c*m = 2*b + 15, 5*m - 3 = 2*b. Let u = -0.1 + -0.4. Sort u, 5, b in decreasing order.\nAnswer: 5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from {f: 3, g: 4, y: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3*k - 10 = -32, -2*k - 8 = -3*o. Suppose 5*t + 10 = o*c + c, 2*t = -4*c + 32. Is c not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -19\/714631?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*m**6 + 59*m**5 - 2196*m**4 - 326*m**2 - 16*m - 10.\nAnswer: 240*m**3 + 3540*m**2 - 52704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26916 - 538439\/20. Find the common denominator of 15\/88 and z.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 21\/(-15) + 4\/10. Let i be -1 + d + -1 + 36. Suppose 3*n = -0*n + i. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 573*t - 325*t - 247*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 255 + 244 - 767 + 62*x + 263.\nAnswer: 62*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 7*u - 14. Let t be (-1 - 3)*(5 + (-22)\/4). Let m be a(t). Solve 4*x = -m*v - v - 24, v + 29 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -326*y**3 - 14*y**2 + 3*y - 2. Let g(b) = 109*b**3 + 5*b**2 - b + 1. Let v(r) = -8*g(r) - 3*u(r). Let h be v(-2). Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (116\/6)\/(7\/21). Suppose 76*v - 4852 + 596 = 0. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 16*d**2 + 12*d + 10. Suppose -9*k - 151 - 2 = 0. Is a(k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-1)*4 + sqrt(171) + sqrt(171)*4*-5)\/((sqrt(243)\/(sqrt(45)\/sqrt(5)))\/(-5*(sqrt(3) + sqrt(27) - sqrt(3)))).\nAnswer: 165*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*u**5 + 10*u**3 - 43142*u**2 + 5698555*u wrt u.\nAnswer: -40*u**3 + 60*u - 86284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 234, 258, 80, -306, -906, -1726?\n\"Answer: -y**3 - 95*y**2 + 316*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 95\/76)\/(-1 - (-752)\/512)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**28\/(((a\/((a\/a**(-26))\/a))\/a*a)\/a)*a*a**(-10\/3)*a*a*a*a**3*a)**(-6\/11) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + c - 21 = 0, 0*c = n - 5*c. Suppose -n*i = -116 + 56. Solve -i = -4*o - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000031414139 to 7 decimal places.\nAnswer: -0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 21 + 51 = 0. Let z be (-21)\/27 + (-4)\/k. Let l be ((-2)\/(-2))\/z*-1. Solve -4*s - q - 11 = 0, 3*s = -5*q - 5 + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -31, -49, -69, -91, -115, -141?\n\"Answer: -c**2 - 15*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/10)\/(164\/2460). Let v = -0.7 - -0.2. What is the closest to -0.1 in u, -2\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-45)*2)\/((-64)\/(-320))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 - 3)*(-1 + 1 - 1) + (-1 + 3 - 3)*(4 + 1 - 1))*(-4 + 6*s**5 + 4).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13801091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551330 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1011010001010011101011 (base 2) to base 7\nAnswer: -34053426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29 - -33. Let y = 2 - 0. Suppose s - 2 = -3*o - y*o, 5*s = 4*o - 19. Solve -o = -u - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + v - 1 = 0, -875*m + 5*v + 6 = -876*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101165.8 millilitres to litres.\nAnswer: 101.1658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 3*h = 5*h + 12, -2*w - 249*h = -248*h + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {u: 4, x: 1, q: 4, s: 5, h: 1, m: 4}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-14)\/4)\/(-1 + 20\/24). Suppose -6*s + 10*s + 4*y - 24 = 0, 0 = 4*s + y - i. Solve s = 3*l - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11724 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -y**5\/60 + 3*y**4\/8 - 2*y**3\/3 - 10*y**2. What is h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 4*y + 1 + 15, -5*b - y = 4. Suppose 26*l - 5*l - 84 = b. Solve 14 = -l*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 87 - 124?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -41*r**3 + r**2. Let j = 29 + -69. Let p be ((-16)\/j)\/(4\/(-10)). Is 18 a factor of t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 94 = -86 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40395*p + 40407*p = -396 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-2 + 22\/8). Suppose 4*y - x = -2*w, y - 2*w + 4 = 1. Let f be 5\/5*-1*y. Put f, 1, -2 in increasing order.\nAnswer: -2, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-24)\/(-8) + 14 - (1 + -5). Solve -18*i + 11*i = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*n**4 - 163*n**4 + 71*n**4 + (5 - 5 + 3*n**2)*(4 + 2*n**2 - 4) + 1 - 1 - 2*n**4.\nAnswer: -63*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 300*x - 892. Determine y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 145 = -5*b, 5*b - 2*l = -0*l + 150. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -112 by -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 3. Let d be (-92)\/18 + (-5)\/(-49 + 4). Let o(i) = i + 2. What is d*o(m) - 3*l(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 6*a. Let s(c) = -34 + 23*c + 60 - 26. What is g(s(r))?\nAnswer: 138*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 433050 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1ac - -7d?\nAnswer: -12f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 69 - 29 = 0. Let k = 24 - a. Solve -3*j + k = -x + 4, -5*x + 7 = 4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 8:09 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3923, -4081, -17421, -36097?\n\"Answer: -2668*m**2 + 6591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -54. Let b = -1 + o. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*s**4*w**2 + 1263919*s**4 - 3*s**2*w**2 + 27448*s*w**2 - 8*w wrt s?\nAnswer: 48*s*w**2 + 30334056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 34, -133, -394, -731, -1126?\n\"Answer: 3*l**3 - 65*l**2 + 7*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**3 - 94160845*c**2 + 376643320*c - 376643300.\nAnswer: 5*(c - 18832165)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9885, 19770, 29655, 39540?\nAnswer: 49425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ccccqcqcqqqc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 84628670?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -365 + 365. Let l(p) = -p**3 + 2*p + 26. Let z be l(d). Which is greater: -3\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1669819316.\nAnswer: 2, 11, 107, 354677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiuuuuiuuiuuiuii?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y + 5. Let p = -18 - -20. What is the lowest common multiple of w(0) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12890*i**4 + 18*i**2 + 1097496 wrt i.\nAnswer: -51560*i**3 + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**3 - z**2 - 3*z**3 + 3*z**3. Let c be w(1). Solve -3*k = -u - 2*k, -c = -2*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z + 1 = 0, 3*p - 13 = 4*z. Suppose -4 - 8 = -p*w. Suppose 0 = 3*x - w*x + 4. Calculate the greatest common divisor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -15, 2*n + 0*v + 4*v - 34 = 0. Suppose -5 = 2*a + n. Let d(w) = 5*w - 2*w + 18147 - 18138. Calculate d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*m - 24*m + 4*p + 11 = -8*m, -2*m + 4 = -2*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 73*y**2 + 6*y - 11. What is the remainder when g(3) is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 212096554*a**3 + 220*a + 9946 wrt a.\nAnswer: 1272579324*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*v**4 - 2*v**3 - v**2 - 6*v - 21 wrt v.\nAnswer: -516*v**2 - 12*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 129917239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/((-7)\/3)*-1)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 4:46 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(54\/20))\/((-64)\/(-480))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -o**4\/4 + 2*o**3 - 4*o**2 + 3*o + 76. Let d be q(2). Let w be (-9)\/6 + (-15)\/6. Sort d, -2, 4, w in ascending order.\nAnswer: w, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5386, -5390, -5396, -5404, -5414?\n\"Answer: -j**2 - j - 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 153 - 133. Suppose f*b = 92 + 108. What is the remainder when 26 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/3 - 4\/(-6). Let h(q) = 2*q**2 + q**a + 6*q - 10*q**2 - 6. Let z(p) = -6*p**2 + 5*p - 5. What is -5*h(f) + 6*z(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-2)*6 - sqrt(76))\/(sqrt(48)\/(sqrt(12)*-2)).\nAnswer: -34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**3 + 51*h - 7*h**2 - 1 - 44*h - 4*h**2. Is m(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + g + 73 = 0, -2*k + 3*g = -124 - 17. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = 3*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n - 8. Suppose l - 1 = m - 0, 0 = -4*m + 20. Calculate the remainder when 17 is divided by z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, 0.39, -0.135, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.3, 1\/3, -13 in increasing order.\nAnswer: -13, 0.3, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 7755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -21, 1\/8, 5, 59 in descending order.\nAnswer: 59, 5, 2\/7, 1\/8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 11 + 4 = 0. Let m be (126 - 2)*(-1 - x). Suppose 4*i + 2438 = 5*p + 3*i, -3*i - m = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15 - 727*k - 7 + 787*k + 3*k - k - 3*k + (3 - 3 - k)*(-3 + 1 + 3) - k + 0 + 0.\nAnswer: 57*k - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a**3 + 170*a**2 + 60*a - 180. Let y be u(57). Sort -1, -3, y, 3.\nAnswer: y, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 + -51. Find the common denominator of (63\/2)\/(15 - (b - 4)) and 81\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*c - 73*c + 3 - 69*c.\nAnswer: 7*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 5*f + 11, -4*f + 6 = -10*z + 11*z. Let w be (z + (-6)\/2)*1. Which is bigger: -2\/29 or w?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 241*b + 1614*b - 154*b in the form s*b + h and give s.\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1845 (base 10) in base 7?\nAnswer: -5244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 1) + 40\/(-48)*-6. Suppose -2*a + 266 = -4*l, -665 = -4*a - a + w*l. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/(-2)*-22*(-84)\/29106. Let z*n**3 - 34\/9*n**2 + 34\/9 - 2\/9*n = 0. Calculate n.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2*d + 18 = 0, 2*d + 0*d = -2*l + 12. Let i = -9 - -5. Let s be (-1 - (2 + i)) + -1. Solve s = -l*z + 2 + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**4\/5 - 39*o**3\/5 + 33*o**2\/5 + 187*o\/5 + 114\/5 = 0.\nAnswer: -1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -99319*n + 99399*n - 3040 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (0 - 8) - (-1 + -23 + 21)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/52000046 and 19\/14857156?\nAnswer: 104000092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 59397 divided by -4?\nAnswer: -59397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-35)*3\/9. Let z = h + -29\/105. What is the nearest to 1 in 0, z, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -5  (c) 1\/338  (d) -11\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -215156, -214321, -213484, -212645?\n\"Answer: l**2 + 832*l - 215989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57 - 55. Suppose -j*q + 8 = -4*q. Let n = q - -1. Let p(c) = c**3 - c + 4. Give p(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-2)*10\/255. Suppose 0 = -13*a + a. Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**2 + 5319062*u = 0?\nAnswer: -2659531, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.35 + -0.15. What is the closest to -1 in -1, -9, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41781222 divided by -112014?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 146*l**2 - 403*l**4 + 206*l**4 + 11*l**5 + 197*l**4 wrt l.\nAnswer: 660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 5 = -3*a, -i + 3 = -a + 2*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.924338um in meters?\nAnswer: 0.000007924338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + i - 6*i = -4, 2*a + 4*i - 2 = 0. Let b(u) = -137036*u**3 - 5*u**2 - 18*u + 71. Let q be b(a). What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 0. Let k = 325 - 4877\/15. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -7*w - 8. Let l be s(-1). What is the units digit of (-108)\/(-486) - (5407\/(-9) - l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -38 - -59. Suppose t = l + 19. Let w be (-7)\/(-5) - (-22)\/(220\/6). Solve l*r = -w*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 5:21 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 2:54 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 555017076 and 4.\nAnswer: 555017076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49 - -44. What is the second smallest value in -1, x, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1292 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 60 + -98 + 41 - 1*(0 - 24109)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 19. Let b = y - -11. Let d(k) = -5*k + 5 - 1 - k + 5*k. Calculate d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 255 - -51. Let o = -305.9999807 + t. Round o to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -k**5\/20 - 7*k**4\/12 - 3*k**3\/2 - 17*k**2\/2 + 2*k + 2. Let x be t(-6). Solve -3*d - x = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 375*y - 141*y = 544986. What is the highest common factor of 136 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 894 divide 31581812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33380*c**2 + 100157*c**2 - 33387*c**2 - 33388*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 100845 divided by 135\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 4  (b) 0.21  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from mmbmmmbmmmmmmmmmmmmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 3*n - 2*n + 20 = 0, -n + 4 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 3463802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -100632 - -503?\nAnswer: -100127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -10*l + 2. Let c(z) = z - 1. Calculate -4*c(i) - 2*r(i).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 210*d + 238*d + 16576 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (14 - 6) - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -140*r + 137. Is f(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20534650, 20534660, 20534670?\nAnswer: 20534680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -14. Let p(y) = -y**3 + 6*y**2 + 7*y + 8. Let a be p(v). Let l be (-2)\/(a\/(-16) + 3). Solve 0 = 5*n - 3*n + 4*z - l, -5*z + 26 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5293 - 0.4293. What is the nearest to -3 in 2, -4\/5, -0.07, p?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 1299*j + 2247. What is the units digit of m(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 17*q**2 - 55*q + 1013. Give i(16).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of m**6\/80 + 5*m**4\/12 + 4*m. Let a(q) be the third derivative of b(q). Let r(c) = 2*c. Calculate r(a(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 10534?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 36*v**2 + 228*v + 28. Determine a(-28).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -5*j, j - 451 = -5*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23307023?\nAnswer: 23307023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -75 - (7 + -5 + (-4 + 3 - 13) + 14)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7706\/4908631 + -3\/4199. Is 1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-1)*2*-2. Calculate the smallest common multiple of 4\/(-12)*-21 + -3 and (g\/6)\/(3\/(-45)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181356 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 212 and 6.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t + 2. Calculate m(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 278015814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-4))\/t)**(-17\/5)\/(t**13*t\/(t*t*t**12*t*t)) assuming t is positive.\nAnswer: t**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.085 - 0.17. Let h = -0.09 - k. Let g = h - -6.805. What is g rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 655492 divided by -12\nAnswer: -163873\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -114 + 792\/7. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1781 in 24, -0.05, 5\/4, 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3dd73 - -2f?\nAnswer: -3dd44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 1. Let x(h) = h**3 + 3*h**2 - 4*h. Let p be x(-3). Let w be ((-3)\/(-2))\/(p\/(-16)). Sort s, w, 3 in descending order.\nAnswer: 3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 96 or -0.038?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -5 + -2*sqrt(1053) + -2 + -3 + (4 + 1*sqrt(13) - (sqrt(65)\/sqrt(5) + 4))**2.\nAnswer: -18*sqrt(13) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 14.3\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -5434?\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13116 - 13096. Solve -q = 31*c - 237 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 16) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15026d8 (base 14) to base 6.\nAnswer: -1003100154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -1, -30 in decreasing order.\nAnswer: 5, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4500503 (base 6) to base 2.\nAnswer: 110111000110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -4834?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2011 is divided by (-35)\/105 - (-138)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 6:37 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2\/3)\/(10*(-2)\/(-33240))?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeehoaeoxoexeeoa. What is prob of picking 2 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - o + 2. Let w be r(2). Let v = -11.2 + 11. Put w, 3, v in ascending order.\nAnswer: w, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40 + -32. Suppose 0 = -3*h + 5*h - k. Let z be 11\/(33\/90)*h\/10. Solve 3*o + o - z = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/42363750 and -74\/2925.\nAnswer: 127091250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.315827 rounded to two dps?\nAnswer: -16.32","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -9 - (-11 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/4))**(20\/9)*(w*w**(2\/7)\/w)**(-21) assuming w is positive.\nAnswer: w**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/29)*a)\/a*(((((a\/(a\/(a*(a\/(a\/(a\/(a*a**(-5)))*a))\/a*a)))\/a)\/a)\/a)\/a)\/a*a assuming a is positive.\nAnswer: a**(31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -608 - -612. Differentiate -164 + 6203*d**y - 6234*d**4 + d**2 + d**2 - d**2 wrt d.\nAnswer: -124*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -33*c + 9*c + 424228 - 425644 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-14) - 190\/(-35). Suppose 0 = -35*x + 33*x + g. Factor 0*r**2 + 0 - 2\/11*r**x + 2\/11*r.\nAnswer: -2*r*(r - 1)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -48*b**3 - 10*b**2 - 7*b. Give h(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 3\/160, 2, 0.2, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 21  (b) 590  (c) 0  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/13  (b) 14  (c) -3  (d) -1  (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -76*h + 0 + 4 - 6 + 59*h. Let t(j) = -4*j**2 + 2. Let n(b) = -9*b**2 + 5. Let v(z) = 2*n(z) - 5*t(z). Determine i(v(l)).\nAnswer: -34*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + w + 0*w)*(-5*w + w + 3*w) + w**2 + 16 - 16 + 3*w**2 - 3*w**2 - w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0054882 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6871570, -13743139, -20614708, -27486277, -34357846?\n\"Answer: -6871569*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 5*d + 3. Let k be 2\/d - 16\/(-6). Solve -5*h + 47 - 13 = -3*u, 0 = 3*h - k*u - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/8 and -101\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**5\/30 - f**3\/3 - 4*f**2. Let j(d) be the first derivative of g(d). Let x(s) = s**2. Give j(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2951031 by -4.\nAnswer: 2951031\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + 465?\nAnswer: 46c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 931462733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 8 - 28 = 0. Put j, 0.3, -5 in descending order.\nAnswer: j, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -424157.\nAnswer: -3\/424157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + -16. Differentiate 3 + 2 - y*u + 1 - 1 wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -152  (b) 2\/119  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/190154 and 40\/93?\nAnswer: 570462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 4*o - 32. Suppose 6*y = 4 + 14. What is the remainder when o is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -11.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -0.3  (b) 0  (c) 1932\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmohhemmhxmm. What is prob of sequence xm?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 9. Let l be i(0). Let o(v) = -v**3 + 8*v**2 + 10*v - 2. Let a be o(l). Solve -2*j = -a + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17889292787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-6496)\/384 + 17)\/((-3)\/(-4))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -122, -181, -238, -293?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -206. Let b = l - -194. Let o = 1 + -2. Put o, 2\/9, b, 4 in descending order.\nAnswer: 4, 2\/9, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11862 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 4:47 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -626*x**3 + 3296*x**3 + 1087*x**3.\nAnswer: 3757*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 + -20. Suppose -29 = -4*u + p. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) + 1 + -1)*-6)**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44446794 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 3:31 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 1:19 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12 - -9) + 16745\/(-3))*-120. Suppose v = -3*w + 3*f + 163172, 3*w + 4*f = -507016. Round w to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4450000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113445200 a multiple of 5936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2923903 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d - 2*q - 19, -d = -5*q - 1858 + 1818 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 34354 plus 3.3?\nAnswer: 34357.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 47*t**2 + 551*t - 53. Give b(23).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1673312*s**4 + 274429*s**2.\nAnswer: 40159488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 354*y + 67*y + 2593 = -5406 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 4*s - 0*s + 28, 36 = 4*f + 4*s. Suppose 3*i = -i + f. Let j(o) = o - 2*o - i - 3*o. What is j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 624 and 31044?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 69, 15\/8.\nAnswer: -0.1, 15\/8, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-24)\/(-15))\/(-4) - 1414\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - t + 3 + t - t - t + (1 + 3 - 2)*(45*t + 30*t - 14*t) in the form p + i*t and give i.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 164 = -4*d, 3*n - 1 = -7. Let p = -18481\/18 + 3100\/3. What is the common denominator of ((-114)\/d)\/((-12)\/(-50)) and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1841 + -1837. Put i, 100, 0.3, 4\/7 in descending order.\nAnswer: 100, i, 4\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -11. Let w(j) = j**2 + 10*j + 7. Let r be w(-9). Which is the second smallest value?  (a) r  (b) h  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 2:49 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from yiiibbibibbiwyiiisib?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -397*t + 3045 + 1768 = 1240 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28240 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/1212 and -37\/157848.\nAnswer: 15942648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1055, -1056, -1057, -1058?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(4)\/sqrt(2)*5*-4 + (sqrt(4)\/(sqrt(2) + sqrt(50)) - (-4 + 1 + sqrt(2))) + -1.\nAnswer: -125*sqrt(2)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.6 + 2.7. Which is the closest to j?  (a) 0  (b) -3.2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12433 = -1316*n - 452*n - 3273 - 1974 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -803\/46 - 1\/23. What is the common denominator of x and 43\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 794738?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/110 + ((-80)\/88 - -1).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1166 - 1165. Let y = 72 - 214\/3. Which is the closest to u?  (a) y  (b) -1\/7  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -73 + 70. Let x = -119 - -72. Let y = x - -47.4. Sort 0.2, v, y.\nAnswer: v, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 equal to -563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 7*g - 12. Let h be (g - 1)\/(-2) - (-80)\/100. Put 12, -1\/3, h in ascending order.\nAnswer: -1\/3, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -j**8\/168 - j**6\/60 + 13*j**5\/2 + 521*j**2. What is the third derivative of x(a) wrt a?\nAnswer: -120*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 147968\/(-5984) - (-50)\/2?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 46 and 23?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 996 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6867*h - 32. Let n be z(-3). Let p = n - -3177511\/154. What is the common denominator of p and 25\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26845, -26846, -26847, -26848, -26849?\n\"Answer: -t - 26844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*x - 8, -3*s + x + 13 = 3*x. Suppose t = -4*w + 143, s*w - 64 = -3*t + 50. What is the remainder when 68 is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -z**3\/6 + 5*z**2\/2 + 2*z + 173. Determine l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 931*f**2 - 1851*f - 923. Let k(u) = 5*u**3 - 4658*u**2 - 9254*u - 4613. Let g(q) = 33*h(q) - 6*k(q). Determine s, given that g(s) = 0.\nAnswer: -1, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-415)\/(-119105))\/(9*(-10)\/(-1260)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**4\/24 + 7*j**3\/6 - 7*j**2. Let x be k(-5). Let q(h) = 14*h**2 + h + 2. What is the tens digit of q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*r - 295*r = -4*h + 6, -4 = -3*r - h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 109 and 53846?\nAnswer: 53846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 2*y + 4*w, 2*y + 4*w - 4 = 3*y. Let k be (y + 262)\/(1\/(-1412)). What is k rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3434558666?\nAnswer: 2, 7, 11, 3186047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k + 7. Let z(p) = 12*p - 20. Let t(x) = 2*x - 4. Let y(l) = -11*t(l) + 2*z(l). Let a(r) = 4*w(r) - 7*y(r). Let c(i) = 28*i**2. Give a(c(n)).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(70\/(-6)) + 77\/49. Let s(a) = a**3 + 2*a - 3. Determine s(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -13, -0.06, 0.01?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -11*y**2 + 55*y - 13. Let p(l) = 5*l**2 - 26*l + 6. What is -3*j(v) - 7*p(v)?\nAnswer: -2*v**2 + 17*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73659918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 0, 262555, 5 in ascending order.\nAnswer: 0, 5, 8, 262555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.6, -23019, 0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 - -1.4. Let s = -3.1 + -2.9. Which is the closest to s?  (a) -4  (b) y  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -225, -618, -1291, -2250, -3501, -5050?\n\"Answer: -r**3 - 134*r**2 + 16*r - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, b: 5, k: 5, q: 4, h: 3, u: 2}. What is prob of picking 2 b?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 751*y - 44525. Determine j(61).\nAnswer: 1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/22)\/(72\/396)*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/25 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -0.7, -1\/5 in decreasing order.\nAnswer: 2\/9, -1\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -15119952 divided by 2342\nAnswer: -6456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3185 and 2341955?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42533216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-2 + (sqrt(700)*-1 + -5)*5)**2 + -4)*3*-6.\nAnswer: -328046 - 48600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(64) - (sqrt(64) + sqrt(64)*2)) + 6*sqrt(125)*2.\nAnswer: 479*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 196.4 + -198. Let r = 1.9 + v. Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 + 4725*p - 4728.\nAnswer: 3*(p - 1)*(p + 1576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a*v**4 + 2*a*v + 8*v**4 - 45*v wrt v.\nAnswer: 24*a*v**2 + 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*z - 7*z + 1560 = 0, -1560 = 5*k - 4*z. Does 39 divide (k\/30)\/((-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 33*w + 237. Let k be j(-23). Is 19 a factor of 722\/((1 + k)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 2*m**2 + 6*m - 3. What is t(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*s - q, 0 = 3*q - 132 + 123. Calculate the lowest common multiple of (-3)\/(-3) + (2 - -21) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 22 = -h, 2*h = -0*v + 3*v + 83. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x + 80 = -2*n, -x - 16 + 4 = 44*n - 42*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -9347 (base 14) to base 11\nAnswer: -18053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43599441 and 4182?\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25568 = 24*m - 25256 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2228\/73 + -279213\/584. Let z = w - -506. Is z smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 947213064 - -1?\nAnswer: 947213065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 923*y. Let p(x) = 11*x. Determine h(p(d)).\nAnswer: 10153*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7\/(-2))\/((-77)\/198*3). Solve 5*s - 1 = 4*s + 2*c, w*c + 29 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 18 - (0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100827049 is divided by 68311?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 9:56 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1105 divide 88221245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2420.0010596 - 2420. What is q rounded to five decimal places?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*w + 3*w + 0*w)*((w**2 - 3*w**2 + 5*w**2)*(2 - 2 - 1) + w**2 + 5*w - 5*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**2 - 20*r. Let w(m) = m**2 + 7*m. Let i = 784 - 792. Determine i*w(f) - 3*p(f).\nAnswer: f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002895617 to six dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -79.3 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 3*d - 15. Suppose -l = -3*o - 8, -5*l = d*o - 2*o + 32. Let q = l - -51. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1203, 20, 364.\nAnswer: 20, 364, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (1 - -12) + -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1488180 divided by 372045.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -396 - -2?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-420)*-12)\/(6\/(-7)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -9*s + 28. Let d(n) = 18*n - 54. Let w(i) = -4*d(i) - 9*h(i). Differentiate w(f) wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -50d - 1bb3?\nAnswer: -22c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2*h**2)*(h + 0*h + 2*h + (-2*h + 2*h + h)*(133 - 20 + 1)) to the form v*h**3 + c*h + d*h**2 + x and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7418409143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 2*l = 8*r - 21, 2*r - 4 = -3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 1304*q + 1. Is f(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8285)\/30*((-64)\/6)\/(-4). Let o = i - -742. What is the common denominator of o and 22\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19349 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-2)*(-3)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in sixty-seven fifths of a hour?\nAnswer: 48240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*h = 12*h + 4*r + 24, -4 = 2*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7503*c = 7398*c + 1470 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - k**2 - 5*k - 1. Let l(b) = -b**2 - 2*b - 1. Give 5*l(y) - 5*w(y).\nAnswer: -5*y**3 + 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + l**2 - l + 5*l**4 + 4*l**4 - 25*l**3 + 24*l**3 to the form y + g*l**4 + d*l**3 + s*l + q*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 5 = -3*r. Let p = 9 + r. Suppose -5*n + 31 = 11, -4*h + 4 = -3*n. Calculate the smallest common multiple of p and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((14\/(-63))\/(-2))\/((-6)\/9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 138 and 5934?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g - 31. Let i(l) = -21*l + 42. Calculate k(i(p)).\nAnswer: -42*p + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10010 + -210?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 886672, 886714, 886814, 887002, 887308, 887762?\n\"Answer: 5*d**3 - d**2 + 10*d + 886658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 1097*q**2 + 22*q + 36. Let d be x(-4). What is the greatest common factor of d and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2403?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 249 - 333 = 0. Let l(h) = 7*h**3 + 8*h**2 - 1. Let b(f) = 6*f**3 + 7*f**2 - 2. What is u*b(w) + 5*l(w)?\nAnswer: -w**3 - 2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/sqrt(27))\/(sqrt(108)\/(sqrt(12)*4 + sqrt(12)) + sqrt(9) + sqrt(9) + sqrt(9)).\nAnswer: 5*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/8)\/(9\/(-24)). Let o = 9 - v. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 364040 divided by 7?\nAnswer: 364040\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/58 - (-282443)\/4553)*1\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 14*p**3 - 3*p**2 + 7*p - 14. Let o = -38 + 40. Calculate the smallest common multiple of 20 and u(o).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 6*q + 2*q)*(-2349 + 2349 + 265*q**4).\nAnswer: -530*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 29 - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18211561 and 71461?\nAnswer: 5497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -t**5\/3 - 17*t**3\/6 + 8*t**2 + 16. Let s(h) be the second derivative of b(h). Differentiate s(r) wrt r.\nAnswer: -40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 149 + 44 = 0. Calculate the remainder when 38 is divided by 7\/l + (-66)\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -814, -2984, -6602, -11662, -18158?\n\"Answer: t**3 - 730*t**2 + 13*t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + -47. Let c = 70 + n. Calculate the smallest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 10*d**2 - 2*d + 1. Let i be w(1). Solve 4*z = -5*c + 7, -3*z + i = -0*z + 5*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 126383 divided by -4\nAnswer: -126383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10 + 1 - -14*(-17)\/(-238). Solve -27 = 5*n - f, -c + n + 9 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.0596 rounded to 0 decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 24785631 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**16))\/(v**(-2\/15)*v) assuming v is positive.\nAnswer: v**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (100\/(-330))\/((-990)\/(-1452))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1)*(0*p - 2*p + 0*p)*(61 - 69 + 168).\nAnswer: -320*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4\/13, -17\/5, 29, 3 in decreasing order.\nAnswer: 29, 3, 1, 4\/13, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + ((-94)\/(-24) - 12\/(-16)). Which is the second smallest value?  (a) r  (b) 0.4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 23  (b) -0.4  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(4 + -4) + -27. Let w = -24 - x. Suppose -2*v + w*v - 23 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5 + 6 + -3 + 3. Let d be (-1 - (-20)\/16)*4. Suppose -2 = o, -5*r = o + o - d. Is a < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 770800 divided by -410?\nAnswer: -1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -46562  (b) -2\/21  (c) -3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 28*s - 242. Let y(d) = 9*d - 77. Let l(u) = 6*k(u) - 19*y(u). Suppose -2*a - 25 = 3*a. Does 13 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 - 70. Let w(s) be the first derivative of -1\/3*s**3 + p*s**2 + 0*s + 3. Factor w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 54.54917277 to 0 decimal places.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -58 - (2023968\/600)\/(-58)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from teieeeeyi. Give prob of sequence eey.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 140586, 281166, 421742, 562314?\n\"Answer: -2*t**2 + 140586*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -302 divided by -11.\nAnswer: 302\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*10\/(-12))\/(4\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -249 and -249 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 10 = 5*d - 3*t, 5*d - 10 = t. Suppose d = 2*s + 2*o, 5*s = 7*s + 3*o - 1. Solve 0 = s*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - w)*(0*w**2 + 4*w**2 - 3*w**2 + (-6*w + 3*w**2 + 6*w)*(2 + 3 - 4)).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -12 - 171069?\nAnswer: -171081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 + 1472168?\nAnswer: 1472160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2025, -4073, -6155, -8277, -10445, -12665?\nAnswer: -14943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2201*x = -19994 - 15222 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**3 - 4*h**2 - 4*h - 2. Let k be i(-2). Let t = 56 + k. Let f = -12 + t. Solve -f = 4*l + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2284 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from {z: 3, a: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2483 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: Let v = -3 + 11. Let y(d) = -d**2 + 12*d - 5. List the prime factors of y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or 15\/10522?\nAnswer: 15\/10522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 - -35. Let k(u) = -5*u - u - 3 - 5*u - f*u. What is the hundreds digit of k(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 1:35 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 11, 19, 45, 95?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648 is divided by 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/(-14))\/((-1848)\/(-1617)))\/((-2)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 + 9*r**2 + 6*r - 11. Suppose -10 = -5*g + 40. Let n be (-6)\/g + (-74)\/10. Let l be b(n). Solve -l*v = -4*c + 19, -1 + 13 = -5*v - 3*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2769158746?\nAnswer: 2, 59, 23467447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -234 + 4*u + 327 + 490 - 4*u + u in the form g + o*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 3*g - 1. Suppose 4*i = -f - 0*f - 12, 3 = -i + f. Give u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143400981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -86*v**3 - 33*v**2 + 2*v - 2. Let g(m) = 259*m**3 + 98*m**2 - 7*m + 7. Let t(u) = -7*f(u) - 2*g(u). What is the third derivative of t(x) wrt x?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 402\/25, 475, -4.\nAnswer: -4, 402\/25, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 1\/15*w**6 - 1\/6*w**4 + 2*w + 0*w**3 + 0*w**2 + 0 - 1\/21*w**7 + 1\/10*w**5. Factor d(z).\nAnswer: -2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 6*o**2 - 12*o + 89. Let n be g(7). Calculate the greatest common divisor of 46 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*j - 20, j + 4*t + 11 + 9 = 0. Solve -l - 2 - 1 = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the second derivative of -y**5\/10 + 2*y**4\/3 + 32*y**3\/3 - 1430*y - 2. Factor w(a).\nAnswer: -2*a*(a - 8)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*((-297)\/6 + 1). Is (y\/2)\/(14\/28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68689218 divided by 11448203\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 127 and 0.37.\nAnswer: 46.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1050)\/45 - -21)*((-3)\/1 + -3366)?\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19049664 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**4\/6 - v**3\/6 - v**2\/2 - v. Let h be (-30)\/(-12) + (-1)\/2. Suppose -g + 6 = -2*r, -h*r + 2*g - 1 = 9. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 10792, 286 in decreasing order.\nAnswer: 10792, 286, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + 4*sqrt(1573))*-3.\nAnswer: -165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4614 - 4935 - 1465 = -406*c - 2894 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.263 + 0.2629566. What is g rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-5*(-1 + sqrt(720)))**2 - ((sqrt(720) + sqrt(720) + -1*sqrt(720) + sqrt(720))**2 + -5)) + (0 + sqrt(720) + 2)**2*-6).\nAnswer: -32418 + 2664*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1)\/((1 - 3)\/916) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 4*c - 261. Calculate k(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 305, 696, 1245, 1952, 2817?\nAnswer: 3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 2 = 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 306695 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9470 + 9869. What is the greatest common divisor of 301 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20, 39, 58, 77?\n\"Answer: 19*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56)\/sqrt(4) + sqrt(14))\/sqrt(2) - sqrt(7))**2 + -2 + -4 + ((sqrt(147)\/sqrt(3)*-5 + sqrt(49))\/(sqrt(77)\/(sqrt(11) + sqrt(11)*1)))**2.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -472632 - -1?\nAnswer: -472631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**3 - g**2 + 2*g + 19. What is q(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22247, -44481, -66715, -88949, -111183?\n\"Answer: -22234*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.006 + 41.006. Let v = s - 41.00052. Round v to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 18972.\nAnswer: 132804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-3 + (-1 + sqrt(3))**2)*-1 + 0) + ((sqrt(147) + 0 - sqrt(147))*2 - sqrt(27)\/((sqrt(99)*-1)\/sqrt(11)))**2.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67 + -71. Put 2\/11, f, 1.2 in descending order.\nAnswer: 1.2, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/2)*n**(2\/9)*(n*n**(-2\/3))\/(n*n\/(n*n**2\/n)) assuming n is positive.\nAnswer: n**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4 - 184*r**3 - 354*r**2 + 540*r.\nAnswer: -2*r*(r - 1)*(r + 3)*(r + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 17*x**2 - 15*x - 7. Let z be u(16). Suppose -5*v - z*v = 2996000. What is v rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + -2. Let u be -4 - -11 - (11 - 5). Which is the second biggest value?  (a) 0.4  (b) u  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 18*f - 13. Let z be h(-17). Let o(v) = -15*v - 6. Let w(l) = -45*l - 17. Let r(c) = z*w(c) - 11*o(c). Let j be r(1). Is -17 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 9*f**2 - f + 9. Let w be s(-9). Let z = w + -9. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of 2\/3*h**2 + 2\/9*h**3 + 0*h - 32. Suppose o(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14917607 is divided by 1557.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 88?  (a) 0.3  (b) 2\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/4*(-66)\/(-9). Suppose 88 = -32*x + 179 - 283. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(24)\/((-3*sqrt(12) - sqrt(12)) + sqrt(12))*3.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9985652.88 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*k + 60*k. Let m be 0\/(5\/(-10)*-2 - k). Let o(i) = i**3 + i**2 + i + 5. Give o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*r - 3*x + x, -3*r - 2*x = -4. Let g = 2 - r. Suppose g*z + 2*q = 0, 0*z - 2*q = -z + 10. Solve z*c + 5*v = 16, -c + 2*c - 5*v = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g**(-19)\/g)*g\/g**(-1\/2) assuming g is positive.\nAnswer: g**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (233\/3495)\/(4\/(-5))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*h**3 + 19*h**3 + 570*h - 578*h + 215*h**2 - h**4 in the form n*h**3 + x + i*h + d*h**4 + r*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -40a (base 13) to base 8\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47 + -43. Suppose 5*k + 5*n - 10 = 0, h*k = k + 3*n + 6. Are k and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 202 - 483?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*j - 20*j - 53*j + 22*j.\nAnswer: -75*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1222260 and 488904?\nAnswer: 2444520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-180)\/(-54) + (-4)\/(-6). Let u be 1*(15 + 6\/(-3)). Find the first derivative of -15 - u*w - j*w - 8 wrt w.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 8. Suppose 0 = -w*y - 0*y. Solve 3*u + t - 3 = 2*u, y = -4*u - t + 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.891 - 1.191. Which is the third smallest value?  (a) -3  (b) u  (c) 5  (d) 0.5  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(72) + 0 - sqrt(72)) + sqrt(72))**2 - (-3*(sqrt(4)\/sqrt(2) + 0))**2.\nAnswer: -60*sqrt(2) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**3 + 305*y**2 + 2715*y - 11025 = 0. What is y?\nAnswer: -49, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c - 7*c = -30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -1011*b. Let p(s) = 7*s**2. Calculate p(c(y)).\nAnswer: 7154847*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of 0 + 0*j + 1\/9*j**4 - 136*j**2 + 0*j**3 - 1\/180*j**5. Factor a(k).\nAnswer: -k*(k - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95019451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000019347051 rounded to seven decimal places?\nAnswer: 0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1827468kg in micrograms?\nAnswer: 182746800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.004 + -181.004. Let s = 181.0366 + l. What is s rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.491, 1, 36.629.\nAnswer: 0.491, 1, 36.629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1944 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 192199081 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 37 = 4*b + 57, -10*b + 4*g - 38 = -2*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -13. Is 11\/2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = -6*v + j, -3*j = -19*v + 16*v - 33 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -69430596 or -69430597?\nAnswer: -69430597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66 + 24*o - 64*o + 11*o.\nAnswer: -29*o + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -102 - -87 - (-13 - (30 - -62))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -172 divided by -94848?\nAnswer: 43\/23712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 124.3 * -26.\nAnswer: -3231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 6:50 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3 + -1 + sqrt(275) + 1) - -5*(-3 + sqrt(275) + -2 + sqrt(275) + 2))**2.\nAnswer: -180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -15. Let y(p) = -7*p + 4. Let n(w) = -15*w + 9. Let h(l) = -30*l + 16 + 5 - 11 + 8. Let k(z) = -2*h(z) + 5*n(z). Give b*k(c) - 13*y(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 4. Suppose -y*q + 57 = -q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 5 = 5*z, 4*x + z = 2*z + 1. Suppose x = -0*w + 2*w - 32. Let i = w - 12. Solve 0*f = i*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v - 25 + v - 14*v + 10 - 19*v + 14.\nAnswer: -35*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4.11984 nanograms?\nAnswer: 0.00000000000000411984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -290 * 0.04\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141214 is divided by 70509.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**3 - 2*c**3 + c**3)*(39 - 39 + 21*c) - 3*c**3 - 2 + c**4 - 2*c**4 + 0*c**4.\nAnswer: 41*c**4 - 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 45*k - u, 25*k - 10*k + 4*u - 24 = 15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**2 + 176*i - 997. What is h(5)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 0 + 15 + (-1 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o. Let z(j) = 10*j + 11. Let i(l) = l + 3. Let k(p) = 2*p + 7. Let g(y) = 5*i(y) - 2*k(y). Let x(m) = -22*g(m) + 2*z(m). Calculate x(n(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(5\/7)\/p*p*p*p**(24\/5)\/p)\/(p\/p**(-2\/7)*p\/(p**(-16)*p)) assuming p is positive.\nAnswer: p**(-377\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2637 - -2635.079. Let d = r + 2.03. What is d rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-128)\/1120)\/(288\/(-168))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = m - 0*m + 3*n, 5*n = -5. Let f(v) = -13*v**3 - 11*v**2 + 11. Let i(g) = g**3 + g**2 - 1. Calculate m*i(a) - 2*f(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**6\/60 + 1571*x**4\/24 + 114*x**3 - 2807*x**2. Differentiate t(r) wrt r.\nAnswer: 6*r**2 + 1571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -5*n - 8, 0*v + n = 5*v + 4. Let j(d) be the second derivative of -6*d**5 + d**4\/12 + d**3\/6 + d. Is 12 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7125 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -130440 (base 7) to base 10\nAnswer: -24234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9120260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 + 90 = 10*o - 4*l - 22, -3*o + 3*l + 114 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 12*i - 6. What is b(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 76 and 1254?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(-2\/7)*s)**(-48)\/(s*s**(1\/2))**15)**(8\/5) assuming s is positive.\nAnswer: s**(-10092\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 1 - 29 = 0. Suppose 2*a + 28 = 6*a. What is the first derivative of x**3 + 6*x**j - 4 + x**3 + a wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/10*3*5 + 11 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29931 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/7))**(-1\/31))**(-1)\/(((w\/(w*w\/(w**6\/w)))\/(w*w**(1\/3)))\/((w**(-3\/5)\/w)\/(w*w*(w\/(w\/(w\/w**(-5))))\/w))) assuming w is positive.\nAnswer: w**(-36703\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -132*x + 3*x**3 - 5339 + 5*x**2 - 87*x + 1339 - 2*x**3 - 5809 wrt x.\nAnswer: 3*x**2 + 10*x - 219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, s: 4, u: 4, v: 5, x: 1}. Give prob of picking 1 x, 1 v, and 2 o.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 183  (b) 0  (c) 0.1  (d) -16  (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/7)\/(-22 - -18)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.06, -1\/12, -2, -5, -0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-2) - (-4 + 5). Suppose w - s*b - 18 = 0, 0*w = 2*w + b. What is the first derivative of -o**2 - 2 + 2*o**2 - 2*o**w wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.02 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -16 - -9 - (2 + -2) - (-6 - (2 - -92))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 13. Suppose -3*z + 6*z + 9 = w. Let y = -2 + 6. Put y, z, 5 in decreasing order.\nAnswer: 5, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + (-8)\/(-2))*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2847, -11406, -25677, -45666, -71379, -102822?\nAnswer: -140001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from oddoynoyoooooyoodod.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3422288 divided by 4.\nAnswer: 855572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -5 in decreasing order.\nAnswer: -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.32 + -0.2. Let w = 5.12 - k. Let b = -5.1 + w. Are -0.1 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 225191112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.4 + 0.2. Which is the nearest to 0.1?  (a) -4  (b) o  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 35 - 1360?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 239203, 478409, 717615, 956821, 1196027?\nAnswer: 1435233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10)\/(-4 - (-7)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 17 and -0.071.\nAnswer: 16.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 + 2*p + 2. Let k be z(0). Suppose -8 = 2*o - 0*o. Let l = o + 7. Solve -l*q - k*q + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216556 = 293*j - 315*j + 180302. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/41607 and -61\/309.\nAnswer: 4285521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6186 + -56?\nAnswer: -6253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -11. Let b = -10 - v. Are b and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5405.\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13533*c**5 + 4345*c**2 - 286991980*c.\nAnswer: 270660*c**3 + 8690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -95*h + 112*h - 11985. Suppose -2209*s + 2214*s - h = 0. Is s a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + sqrt(108)) + -2*sqrt(108)*-4 + -1.\nAnswer: 9 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -7*m + 5. Let u(i) = 3*i - 2. Let f(l) = 2*s(l) + 5*u(l). Let p(k) be the second derivative of -2*k**3\/3 - k. Give f(p(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.05+-0.207\nAnswer: -0.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 5*i - 73 = 144 - 83, -5*w - 6*i + 167 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*u = -13, -3*c + 67 = u + u. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xdxx when four letters picked without replacement from {e: 1, d: 2, x: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 2*t + 18 = -3*c, c + 4*t = -18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, f: 1}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/352190 and 79\/18.\nAnswer: 3169710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 3*b + 495. Let g be f(0). Let d = g + -451. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144741454 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 185*z**3 - z**2 + z. Let v be h(1). Suppose -3*b = -5*g + 561, 2*g = -31*b + 27*b + 214. Calculate the greatest common factor of g and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70\/(-304) - (-810)\/7695?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 3:18 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2\/3 - 44*j\/3 - 104\/3.\nAnswer: 4*(j - 13)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 247783 * 343\nAnswer: 84989569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2571180 divided by -5?\nAnswer: 514236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8 = -16. Let s(f) = -2*f + 2*f**p - 6 - 3*f**2 + 8*f. Let d be s(4). What is the nearest to -1\/4 in d, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bfbbbfbbfbbbbbff. What is prob of picking 2 f and 1 b?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 2*u. Suppose 4*s + 0*s + 8 = u. Suppose -4*v - 5*m - 4 = 6, 0 = -5*m - 10. Does s = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 110*d. Let v(k) = -11*k + 4. Let j(p) = 7*p - 3. Let q(i) = 4*j(i) + 3*v(i). Give z(q(g)).\nAnswer: -550*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91 and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 36280, 24 in ascending order.\nAnswer: 4, 24, 36280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 36 = 12. Suppose 0 = 7*y - 5*y - u. Suppose 5*n = y*m + 2*n, -5*n + 8 = -m. Calculate the smallest common multiple of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 3*n**2 + 1361740992*n + 154528210774428672 = 0.\nAnswer: -226956832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 3*a**2 - 87*a + 3. Let d be j(0). Solve 3 = d*o, 2*z - 98 = 4*o - 102 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 78 = -2*a, -2*a = 2 - 12. What is the highest common divisor of x and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 take away 2.13835701?\nAnswer: -125.13835701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 47 + -87. Let c = x + 77. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 492c9 - 1?\nAnswer: 492c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3758 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-466 - -23) + (16 - 2). Is i greater than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 3159068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22\/2951 - 5836\/8853. Which is the biggest value?  (a) 1\/5  (b) 0.1  (c) 4\/3  (d) z  (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = -21*f - 580. Sort f, -4, 5 in descending order.\nAnswer: 5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -3. Let o(j) = -j**3 + 3*j**2 + 33*j - 110. Let l be o(5). Sort l, -2, z in decreasing order.\nAnswer: l, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18537239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - (1 + 10 + -26 - 4)) + 4 + 52.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -80467967*c**3 - 136106872*c wrt c.\nAnswer: -482807802*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20 - 50504?\nAnswer: -50444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 358 - 11816\/33. Suppose -3*o = o - 8. Let m be ((-4)\/o + 2)\/(-2). Which is bigger: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -107070*b**4 - 33*b**2 + 144*b + 9 wrt b.\nAnswer: -2569680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {q: 3, c: 1, m: 1, o: 5, i: 2, u: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -799*358.\nAnswer: -286042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 133, -17, 7057, 2.\nAnswer: -17, 2, 133, 7057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 13, a: 3}. Give prob of sequence waw.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 337460 and 2154.\nAnswer: 1012380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -50*1*(11 + -12). What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-22)\/12*(-34)\/374. What is the third biggest value in d, -0.01, 1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**4 + 155*f**2 + f**4 + f**4 - 4*f**4 - 34*f**2 - 143*f**3 wrt f.\nAnswer: 48*f - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 2*m + 8, 0 = s - 5*m - 2344 + 2332 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 PM and 7:13 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 113*s**4\/2 + 26*s**2 + 244. What is the second derivative of w(u) wrt u?\nAnswer: 1356*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3273087*c**4*t + c**4 - 24*c**2*t - 2*c**2 - c*t - 13*c - 257 wrt c?\nAnswer: -78554088*c*t + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -41*l - 1. Let m(u) = 42*u + 2. Let f(h) = -3*k(h) - 2*m(h). Does 30 divide f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -443\/28 in 4\/9, 1094, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 107090964, 107090962, 107090960, 107090958?\n\"Answer: -2*t + 107090966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + 7*x - 9. Let b be p(7). Let s(h) = 20*h - 17. Let g(n) = -11*n + 8. Let k(z) = -5*g(z) - 3*s(z). Does 28 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -511 + 1174?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 1156 = -4*w + 1181, -2*b - 42*w = -56 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -382.7?\nAnswer: -1913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**2\/2 - 2781*o\/2 + 4167 = 0.\nAnswer: 3, 2778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaapaaaaaa. What is prob of sequence pppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/429  (b) -1  (c) 39650  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 13, n: 3}. Give prob of sequence nnr.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 6 = 4*c. Let r be (c + -3)\/(-2) + 12. Sort -3, 2, r.\nAnswer: -3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 11.41  (c) 5  (d) 73  (e) 4  (f) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/4752 and 107\/1102896.\nAnswer: 12131856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 5 + 1. Suppose j - 6 = -3*d. Suppose 2*n - 5 = n. Put n, -5, d in descending order.\nAnswer: n, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 528 + -495. Suppose 18690 = 30*i - a*i. Round i to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34\/(-119) + 332\/(-14). Does 18 divide (-2)\/(-6) - 11752\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.54 + 24.66. Let v = -24.8 + h. Which is the fourth biggest value?  (a) 3  (b) v  (c) 1\/10  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 + -36. Solve -o*x - 2 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12790*a = -12805*a. Solve 10*y + 308 - 218 = a for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2280)\/(-2100) - (-4)\/70?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 5*i + 20 = 0, -249*n + 244*n = i - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v**3 - 2*v**3 + 3*v**3)*(3*v + 3*v - 4*v) - v**4 - 60 - 119 + 809*v**3 - 4*v + 179 as j*v**3 + i*v + p + b*v**2 + k*v**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7926 is divided by 263.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umcuuumuucuuuuc. Give prob of sequence mc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2d62 (base 14) to base 5\nAnswer: 224442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.8 - 3. Let q = -39 - -34. Let r = -43.3 - -43. What is the second smallest value in g, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + 2*h + 5. Let t be u(3). Solve -t = -2*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202 times 0.3\nAnswer: 60.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 - a**4 + 8*a**4 + (0 + 0 - 1)*(2*a**4 - 2*a**4 + a**4).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 108 = 3*f + q, -5*f + q = -263. Let t(x) = -8*x. Let i be t(-2). Let k = i + 2. Calculate the remainder when f is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/4 and -48\/702563.\nAnswer: 2810252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(-14\/3)\/t))\/(t*t\/((t*((t\/(t*t**(-2\/7)*t*t))\/t)\/t*t*t)\/t)))\/(((t*t**(-12))\/t*t)\/(t*t*t**(-20)*t*t)) assuming t is positive.\nAnswer: t**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and -2874973.\nAnswer: -86249.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 5*n + 38, 0 = -522*l + 517*l + n + 56 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 10*l = 5*l + 6, -r = -4*l + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - 7. What is the units digit of (-3)\/(-6)*-2 - y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 237*z - 143. Let w be d(4). Let j = w - 802. Which is greater: j or -65?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4890247 micrograms to kilograms.\nAnswer: 0.0000000004890247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(-10 - 6 - 2)*(-2 + 2 - 372*j**2)*(3*j - 2*j - 2*j).\nAnswer: 13392*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3471 or -31252\/9?\nAnswer: -31252\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j - 44 + 135. Let m = j + -29. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 12. Suppose c*h + 2*h = 4. Solve h*x - 8 = 4*d - x, -2*d - 4*x - 26 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1839019363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 13  (b) 1  (c) -3  (d) 0.6  (e) 59  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365266 is divided by 52136?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2929425 divided by 585885?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 51 - 6868?\nAnswer: -6817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kiggkhrkkigihi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20452 - -3?\nAnswer: -20446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (7 + -5 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13730 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -1958481 - 14961519. Suppose 0 = -11*d + 8*d + h. Round d to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17508, -17649, -17886, -18219, -18648, -19173?\nAnswer: -19794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50.2 - -50. Sort y, 1\/6, 4.\nAnswer: y, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79217.95 millennia to months.\nAnswer: 950615400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 26576 rounded to the nearest one hundred?\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 - 4)*(5 - 3 + 2)*(0 - 4 + 5)*(1362 + 539 - 1135)*(2*s - 2*s - 2*s) as c*s + x and give c.\nAnswer: 6128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 642\/1926 + (2 - 10\/3). Put s, -6, -3, 1, -0.4 in descending order.\nAnswer: 1, -0.4, s, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -525 (base 13) to base 11.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 40065517 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 2*x + 5. Let b be ((8 - 3)*1)\/x. Find the first derivative of -2 - 4*h + b + 3 - 1 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*t - 909 = -794 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 6) + 4 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, 8, -132?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g + 4*r + 10, 28*r - 32*r = -2*g + 4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 2, -189, -1, -2, -64, 0 in ascending order.\nAnswer: -189, -64, -17, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9.8, 0.5, 5 in descending order.\nAnswer: 9.8, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4860619?\nAnswer: 311, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1346265.698 to the nearest one hundred.\nAnswer: -1346300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -68483*x**3 + 48012*x**2 wrt x?\nAnswer: -410898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*f**4 + 3*f**4 - 6*f**4 + (-2*f + 4*f + 3*f**2 - 4*f)*(3*f - f**2 - f**2 + f**2) in the form n*f**3 + z + w*f**4 + m*f + i*f**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 80 + 5 = 0. Let n = x - 3. Calculate the smallest common multiple of n and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*m**3 - 47*m**3 + 444009*m - 444009*m.\nAnswer: -97*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u - 9 + 7*u - 3*u. Let m = -10 - -15. Give c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*m + 20 = 0, 5*m = 4*t - 28 + 3. Let k(z) be the first derivative of 0*z**3 + 2 - 2*z + t*z**2 + 1\/2*z**4. Differentiate k(s) wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -76*q + 3. Let k be ((-4)\/6)\/(10\/15). Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -166160.82618 to the nearest ten.\nAnswer: -166160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, k: 1, h: 2, p: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11590000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g + 18. Let k be i(4). Suppose k*u = -5*z + 2844, -5*u + 1725 = 3*z - 10*u. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m - 11. Let h be a(8). Suppose 4*z - 3*z - h = -5*u, 4*z - 150 = 2*u. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 - v**3 - 4*v**3)*((1 + 3*v - 1)*(-1 + 1 - 2*v) + 11*v**2 - 10*v**2 - 4*v**2).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.9676323 years?\nAnswer: 0.009676323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2986 + -8987\/3. Is 4\/11 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 10. Solve -5*o - 24 = y, -5*y = -o - s - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133794 and 126?\nAnswer: 936558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 4*a - 5*b, 128*b + 13 = -a + 125*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2. Let k(u) = -64*u. Determine z(k(d)).\nAnswer: 4096*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 103 - 2*s - s + 7*s + 29*s - s**2 + 6*s**3 - 34*s as m*s**2 + g*s**3 + u*s + f and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 576737838.\nAnswer: 2, 3, 53, 604547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -128323.75 - 201?\nAnswer: -128524.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v + 33 = 5*s + 12*v, -2*s + 3*v + 3 = 0. What is the highest common divisor of s and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000014646027 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w - 1\/3*w**2 + 7\/3.\nAnswer: -(w - 1)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51 - -35. Suppose -5*f = -3*d + d - 153, 3*d = -f + 17. What is the remainder when q is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/3*3 + -2. Let g(u) = u**3 + u**2 + 2*u + 4. Let m be g(0). Suppose -m*j = -6 - f. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 60*l**2 + 243*l - 3. Let p(b) = 118*b**2 + 485*b - 5. Let x(o) = 5*g(o) - 3*p(o). Find the second derivative of x(f) wrt f.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7515 + 157784\/21. Calculate the common denominator of -61\/30 and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 - -72. Suppose -3*j - 151 = -4*t, -j - 42 - p = t. Which is bigger: j or -54?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3892908 by -3.\nAnswer: -1297636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -96*c**5*l**3 - 2*c*l**3 + 20*c*l wrt c.\nAnswer: -1920*c**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k + 11*k**2 + 2*k + 3 - 3*k.\nAnswer: 11*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z - 6. Let t be d(-10). Suppose 15 = 3*r + 3*x, 3*r + 2*x - t = 15. What is the remainder when 735\/30 + ((-3)\/2)\/3 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*j**2 + 64 - 494 - 15*j**2 - j**2 - 6*j**2 in the form h*j + r*j**2 + l and give l.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**5 - 178*h**2 + 178*h**2 - h + (h**4 + 0*h**4 + 0*h**4)*(-4*h + 0*h + 5*h).\nAnswer: -h**5 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {e: 3, b: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + 3 + 16 - (4 + -4). Factor -b*r**2 - 4 - 560*r + 554*r + 26*r**2.\nAnswer: 2*(r - 2)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -26  (b) -13  (c) -2\/193  (d) 198\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121 + 1110012211?\nAnswer: 1110012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - -5)*(605 + -4).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + 3 + -4)**2) + (sqrt(1088) - (2*sqrt(1088)*4)**2).\nAnswer: -70721 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**2 + 110710*q - 612835205 = 0 for q.\nAnswer: 11071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 12) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8612 and 20092.\nAnswer: 43258076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + -0.1. Let a = o - -0.4. Let y = -0.5 + 0.3. Sort -1, y, a in decreasing order.\nAnswer: a, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(17) - (-4 + -2*sqrt(17) + sqrt(17))) + -5 + (sqrt(425)*-5)**2 + sqrt(1377)*2)*6.\nAnswer: 240*sqrt(17) + 127488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -3*z + 231. What is the lowest common multiple of 912 and z?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q - 34*q - 4*q - q - 8*q + q + 69*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/(-24)*(-8)\/56\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -56*p**2 - 50*p**2 + 71*p**2. Let a(n) = 2*n**2. Give a(w(i)).\nAnswer: 2450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 + 0.7. Let z be (-1)\/(0 - (-1)\/(-5)). What is the smallest value in i, z, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-22)*34\/(-85)*-5\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -l - 0. Let b = -1255 + 1270. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 4*r + 2*r + 686*x - 6174, 667*r = 670*r + x - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(504)\/sqrt(8) + (-2*sqrt(252))**2.\nAnswer: 3*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 7.5, -19, 3\/13, 0.09 in increasing order.\nAnswer: -19, -4, 0.09, 3\/13, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 343 by 391948.\nAnswer: 343\/391948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 18916000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 33 - (16 - 14 - -33).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**4\/36 - y**3\/9 - y**2\/6 + 8*y. Determine o, given that l(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -356 and -383 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 - 3)*(-156 + 20*o**2 + 156) - 3 - 4*o**2 + 2 + 3*o**2.\nAnswer: -101*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 3*z + 10 = 0. Suppose 5*k + 2*c + z = 0, 6*k + c = k - 5. Solve 4*i = k, 0 = -a + 2*a - 4*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4.4, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - (-1 - -1))*-1. Let g(z) = -2 + 0 + z + v + 4. Give g(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of 3*w**4 - 4*w**2 - 31. What is the second derivative of b(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60098242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + 4. Let t be 8 - 8 - o*-1. Solve 0 = 2*h - t + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-6296\nAnswer: 1259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 626173813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -0.327, 4, -18\/5, 10, -2?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 824832 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 11*b**3 - 9*b**2 + 5*b + 5. Let a be x(6). Suppose 3*z - 2*r = -4, -4*r + 7 = -1. Suppose -5*f - t + 2*t + 2078 = z, a = 5*f - 4*t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14340322 - 0?\nAnswer: 14340322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 5*u + 2*t, 3*u = 6*u + t + 14. Which is the nearest to 0?  (a) 7\/6  (b) u  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**2 - 2*x**3 - 3*x**2 + 4*x**2 - 6)*(3*x - 4*x + 2*x + (3 + 1 - 1)*(0*x - 4*x + 5*x)) to g*x + z + c*x**3 + o*x**2 + r*x**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.16 and 123.\nAnswer: 19.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 4*t + 1995, -6*i + i - t + 1995 = 0. Suppose 0 = -5*z + 3934 - i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 8 = -100*h + 103*h, 5*n - 40 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(13) + sqrt(117)*-6 - (sqrt(143)\/sqrt(11) + 3)) + 4 + 0.\nAnswer: -18*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 8:29 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 275779218 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -127768390 divided by 9\nAnswer: -127768390\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1960 is divided by 471?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -223774 + -0.1257012?\nAnswer: -223774.1257012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 96447?\nAnswer: 19289.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4629*a**4 - 5*a**3 - 158*a**2 + 1214559*a - 1?\nAnswer: 55548*a**2 - 30*a - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/16 + 14\/(-4). Let g = 3 + -2. Let a be (i + 5)\/(g\/1). Which is greater: -2\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 9 = 3. What is the remainder when 168 is divided by ((-18)\/27)\/(h\/51)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*j + 43092 = 2350*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -434 - -458. What is the greatest common divisor of w and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1706812 is divided by 113787.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.071 - 0.071. Sort 1, -4, -5, g in decreasing order.\nAnswer: g, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s**2 - 6*s**2 + 3*s**2 + (2 - 3 - 2)*(5*s**2 - 2*s + 2*s))*(5 + 0 + 1) to m*s + t*s**2 + f and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 1 - (14 - 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*q - 27 = 0. Let o(r) = r**2 - 9*r + 10. Let b be o(8). Suppose d - b - 1 = 0. Solve -d*g + 3 = -q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - -2 - (-13 + (-37 - -34)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5 + 13 = 0. Let l = 6 + -4. Is l*1*57\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 0.1, -5, -4, 3\/4, -2\/299 in descending order.\nAnswer: 10, 3\/4, 0.1, -2\/299, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.774 + -0.226. Let m = 36 - 470\/13. Let y = -47\/22 + 7\/11. What is the third smallest value in g, -3, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1232)\/(-560)*6*(-40)\/(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2*b\/(b*b\/b**3)*(b\/(b**1\/b))**(-2))**38 assuming b is positive.\nAnswer: b**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1136 divided by -17386.\nAnswer: -568\/8693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l - 2. Let w(q) = q**2 + 2*q + 3. Let z = 13 - 9. Let s be 6\/z - 15\/(-10). What is s*d(y) + 2*w(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 232.0804742235 - -8\nAnswer: 240.0804742235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t + 14. Let a be n(-6). Suppose 4*i - 5*z = 21, -a*z = -2*i + 2*z + 12. What is the third derivative of -5*o**2 + 16*o**4 - 7*o**i + 0*o**2 wrt o?\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 27991.\nAnswer: 3\/27991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*t + 8*t + 9*t + 999 - 38*t + 12*t to z*t + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14906 - 4197. Is q a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 13*n**2 + 3. Let v be o(13). Suppose -3*q + 7*q = v*f - 437, 0 = -4*f + 4*q + 580. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -53 - -2953?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 9*x + 1. Let g be j(1). What is the units digit of (-8)\/(-6)*(2 - g\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -520 - -480. Let g = -25 - t. Solve 0 = -3*v + g, -q + 4*v = 4*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 29*c + 60. Let z be q(-2). Let h(g) = 6*g**2 + 11. Let k(s) = -s**2 - 2. Let p(l) = z*h(l) + 11*k(l). Let f(d) = -5*d**2 - 21*d. Calculate f(p(y)).\nAnswer: -5*y**4 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-658)\/98 + 8)*-7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o - 5. Let k(t) = -1820 - 1821 + 3644. Let w(q) = -2*f(q) - 5*k(q). Let v(b) = -1. Give 4*v(y) - w(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the third derivative of -1\/120*o**6 - 1\/6*o**4 + 0*o + 0 - 2\/3*o**3 + 4*o**2 - 1\/20*o**5. What is the units digit of x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/31, 1\/5, 61.843, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11803185 by -21267.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-19)\/76*(-8)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -22*l**3 - 221*l**2 - 906*l - 67. What is f(-4)?\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 2) + ((-140)\/(-21) - 8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 4599\/4  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 275, 563, 851, 1139, 1427?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1254 - -222321?\nAnswer: 223605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39863 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**7\/420 + 13*f**6\/40 + 27*f**5\/2 - 225*f**4\/2 - 27000*f**3 + 51*f**2 + 12*f. What is t in k(t) = 0?\nAnswer: -30, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((1 + sqrt(44) + sqrt(44) - sqrt(44)) + sqrt(44) + sqrt(44) - sqrt(44))**2 + 2 - (sqrt(880)*-2)\/sqrt(5))*1.\nAnswer: 32*sqrt(11) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5915, -1\/3, 5, -8929?\nAnswer: 5915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 1 - 2 - 5*k + 3*k. Let u be m(-3). Let h be -3 + 10\/1 + -3. Put u, h, 1 in increasing order.\nAnswer: 1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 717173983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -76, 6680 in decreasing order.\nAnswer: 6680, 5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 - -115. Let d = s + 7. Let w = 7 - -2. Calculate the highest common divisor of d and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -287 = 12*n - 2039. Suppose -253*y + 717 = 5*j - 249*y, 3*j + 3*y - 429 = 0. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i - 4. Let m be 0 + 40 - (1 - -1). Suppose 4*a + d = -0*d - 30, -5*a - d = m. Let n be w(a). What is the greatest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 11 = -4*j, -5*j + 2 = -3. Find the common denominator of 10584\/(-2304) - r*1 and -67\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 10:06 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 303402333 (base 5) to base 4\nAnswer: 10230223221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/15  (b) -96  (c) -1\/79336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1156634, -1156579, -1156422, -1156109, -1155586, -1154799, -1153694, -1152217?\n\"Answer: 9*b**3 - 3*b**2 + b - 1156641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {n: 7, y: 3, h: 9}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2089*k*p**4 + 1567*k*p**2 wrt p?\nAnswer: -50136*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 394737.3 years to decades.\nAnswer: 39473.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3731311130 to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-850)\/(-51)*((-3)\/2)\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13\/66 - 973\/528. Find the common denominator of k and -133\/132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21048.168 milliseconds to minutes.\nAnswer: 0.3508028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50 + (60 - 2) + (-2 - -1) + 0 + 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3888) - (sqrt(3888) + sqrt(3888) + sqrt(3888) + sqrt(3888)*-2) - (sqrt(1728) - (sqrt(1728) - sqrt(1728)*-1)))*-6)\/(3*sqrt(54)\/sqrt(24)*2).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) - (-2*(sqrt(156)\/sqrt(4) + sqrt(39)) - sqrt(39)))\/sqrt(3) + (sqrt(13) - -2*sqrt(117)) + -1 + (2*sqrt(130)*3 + sqrt(130))\/(-2*sqrt(810)).\nAnswer: -1 + 227*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1977 plus -25.3?\nAnswer: -2002.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 41592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5dd22d8 + -7?\nAnswer: -5dd22e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, v: 2, r: 1}. Give prob of sequence vvr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) - (0 + sqrt(448) - sqrt(448))*3)**2 - (-2*sqrt(448) + -3)) + 4.\nAnswer: 16*sqrt(7) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164139 is divided by 663?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2\/7, 5\/2, 1.73, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1626033, 1626058, 1626083?\n\"Answer: 25*x + 1626008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163984 is divided by 161032.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -10321, -10345, -10369?\n\"Answer: -24*r - 10297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 2.9, -0.2, 3, -2\/515, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*o**2 + 72*o**2 + 17*o**2 + 52*o**2.\nAnswer: 111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 1, -16 in ascending order.\nAnswer: -16, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 86.66 - -0.34. Let b = v - 90.7. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -24976, -55 in descending order.\nAnswer: 5, -55, -24976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g - 22. Let u be b(-16). What is the tens digit of u + 7 + (4 - -60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 34203, 34198, 34189, 34176, 34159, 34138?\n\"Answer: -2*p**2 + p + 34204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*t - 21 = -4*t, -k - 3*t = -1. Let b(o) = 8 + 0*o - 8*o + 5*o - o**2 + o. Let q be b(-5). Sort -1, k, q, -8.\nAnswer: -8, q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 + -2 - (-22 + (51 - 16))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) 5  (c) -3031.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3736?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*8\/(-288)*87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 + 24 = -3*h. Suppose o - 3*s - 2 = 0, -8*o + s = -3*o + h. Are o and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -328*g + 706*g + 775*g = -380*g - 154833 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2785023*b**3 + 2784938*b**3 - 2*b**2 + 2*b**2 + 0*b**2.\nAnswer: -85*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5770939 or -86564078\/15?\nAnswer: -86564078\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 104665, 418637, 941923, 1674523?\n\"Answer: 104657*p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 9 = 3*x, 4*x - 2216 = 2*z - 2226 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 103, -1, 2\/11, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 - 2*f**2 - f**3 - 16*f + f**2.\nAnswer: -f**3 - 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 48\/(-70) + (-6)\/(-15). Which is the nearest to -0.1?  (a) 1\/5  (b) -5\/6  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1208189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(170) + 3*1*sqrt(170) + sqrt(170)))\/(sqrt(10) + sqrt(490)*2 - sqrt(1210)*-2) + 0.\nAnswer: -5*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*p**2 + 6*p**2 + 9*p**2 to b + m*p**2 + g*p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((25\/(-3))\/((-885)\/(-2124)))\/(2\/(-11)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(11) - (sqrt(11) + 3)) - (sqrt(539) + sqrt(11))*-6.\nAnswer: 3 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29.5 + -29.49995315. What is q rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36047017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of 0 + 1\/120*z**6 + 2*z**2 + 1\/12*z**5 + 0*z + 1\/6*z**3 + 1\/12*z**4. Does 4 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254 - 85 = 76*u - 7*u + 1041 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1112 (base 4) to base 10\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219 = -20*z + 279. Let q be 0\/((-2 + 1)*-2). Suppose -t - 3*r + 23 = q, 33 + 27 = 5*t + 4*r. Solve k + t = z*f + 18, 0 = -4*k + 5*f + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**7\/g)\/g*g**(1\/6))\/(g**(-1\/3)\/(g\/(g*(g*g\/(g**1\/g))\/g))) assuming g is positive.\nAnswer: g**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -0*j + 9*j - 9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, i: 1, v: 1, a: 1}. Give prob of picking 2 i, 1 v, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 b, 1 c, and 1 a when four letters picked without replacement from cfacwba?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -284, 101, 3 in increasing order.\nAnswer: -284, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 + 6. Let d = -6 + 8. Let q be (-227996)\/a - (-2)\/d. What is q rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeu when three letters picked without replacement from xereretxuorxxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**21*w)*w*w\/w**(-9))\/(w\/(((w\/(w*w**10))\/w)\/w)*(w**19\/w)\/w))**(-33) assuming w is positive.\nAnswer: w**1320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57026473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ac008 (base 14) to base 15.\nAnswer: -13ce15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5614 or -5537?\nAnswer: -5537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 163561, 163498, 163393, 163246, 163057, 162826?\n\"Answer: -21*c**2 + 163582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(2) + 1)*1.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -521257?  (a) -1\/7  (b) 1  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 5*f - 11. Let t be d(4). Suppose 0 = t*l - 3 - 6. Solve 0 = 2*a - 3 - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 + 0)\/3 - (-57018)\/1677?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-1)*(-30)\/12. Let y(s) = -s**3 + 5*s**2 - 3*s - 3. Let n(l) = l + 1. Let u(b) = -4*n(b) - y(b). Calculate u(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/10 + -4)\/((-1836)\/(-765))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -5*y + t - 14, -4*t - 16 = 0. Let v(k) = k**2 + 3*k - 5. Calculate the remainder when v(y) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 814138 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 6*x**2 + 8*x + 8. Let j(y) = 2*y**2 + 3*y + 3. Let b = 99 + -96. Calculate b*q(d) - 8*j(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2263041, 4526080, 6789119, 9052158, 11315197, 13578236?\nAnswer: 15841275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 36 = -4*d, 2*d = d + p - 1. Suppose 3*q - 114 = w, -q = -3*q + d*w + 66. Suppose -5*l + 81 = -q. Solve l = 5*g - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.5 - -10.5. Let o = x + -7. Let s = 9 - o. Which is greater: -1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 315\/7)*((-26)\/(-16))\/(-13).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (22 - (8 + (8 - -1))) + 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 5*w**3\/3 + 5. Let q(n) = -9*n**2. Let x(l) = -7*h(l) - 4*q(l). Let r(d) = 15*d**2. Determine r(x(v)).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -7*b - 1. Let r be (-8)\/12 - (-92)\/(-6). Let l = r + 15. Determine m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -180 + 150 + (0 - 12) - -28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, c: 2, i: 1, w: 2}. Give prob of sequence ccgi.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 869\/(6\/(-1) - (-4 - 1)). Let d = -845 - u. What is the remainder when 83 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 190374 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**3 - 5*h**2 - 4*h - 3. Let y(w) = 6*w**2 - 39*w + 15. Let x be y(6). Give q(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 3*i**2 - 3*i - 5. Give a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 18 = 9*u. Suppose y - 89 = u*o - o, 2*o = y - 92. List the prime factors of y.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.6181 to 1 decimal place.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 7*c + 138. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 13947121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.86724 - 1?\nAnswer: 21.86724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 48.4 - 48. Suppose 5 = v + 2, -5*y = -5*v + 25. Let x be (-2)\/(5 - (0 - y)). What is the biggest value in n, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 19792.\nAnswer: 5937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.4 + 0.2. Let v = -0.3 + 0.1. Let y = v + -1.8. Which is the closest to y?  (a) r  (b) -2\/5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 8*l**2 - 9*l - 7. Suppose -3*z + 8*z = 3*o + 17, -47 = 5*o + z. Let t be i(o). Let p = 2 - t. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 232 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*t - 46*t - 34 + 2 = 0. Which is the smallest value?  (a) 0.12  (b) 0  (c) t  (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 1. Let o(b) = 8*b**2 - 6. Let t(r) = 6*c(r) + o(r). Let l(w) be the first derivative of 3*w**2 + 18. Determine l(t(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1299108*a**2 + 230*a - 338.\nAnswer: 2598216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -9, 84, 203, 342, 495, 656?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42234834 to the nearest integer?\nAnswer: 6499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 218846 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75183, -149786, -223811, -297258?\nAnswer: -370127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 11, -4, 0 in decreasing order.\nAnswer: 11, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362 = 4*j - 86. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 110*f**2 + 182*f + 3348. What is n(108)?\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3862843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -11*l**4\/12 - 3*l**3\/2 + 8*l**2. Let r(s) = -s**2 + 15*s - 18. Let b be r(14). Is x(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/(150\/(-9828)) - 8\/(-2). Let t = 2324 + h. List the prime factors of t.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 1416?\nAnswer: 566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/9))**(-43)\/(w*w**9\/w*w**(4\/9)*w) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (125*j + 3175 - 3175)*(j**3 - j**3 - j**3).\nAnswer: -125*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/sqrt(7) + -2 + -2)*-2 + (3*(sqrt(11) + 0) - (sqrt(99) - -4*sqrt(99)))**2.\nAnswer: -2*sqrt(11) + 1592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 16*v - 16. Suppose 0 = -2*i + 9 - 75. Let p be (489\/i - (-2)\/(-11))*-1. Let x be z(p). Is x at least 2\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -845\/8 - -7693\/72. What is the common denominator of 73\/126 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - 4*t - 20. Let m(g) = -4*g + 31 + g**2 - 66 + 25. List the prime factors of m(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17348, -17354, -17372, -17408, -17468, -17558, -17684?\nAnswer: -17852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155 + -1707\/11. What is the third biggest value in 1\/6, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**24*s)\/s)\/s*s*s**7*s**24\/((s\/(s*s\/s**(-18)))\/s*s) assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -32981116 or -32981117?\nAnswer: -32981116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -7*g. Let m(v) = -96321*v. Calculate m(h(c)).\nAnswer: 674247*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2cc49 (base 13) in base 9?\nAnswer: 140343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 109344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 132 - 8 = 0. Let q(u) = -2*u**2 + 2*u + 7. Let n be q(-4). Let b = n + y. Solve -4*s - b = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -79. Suppose 2*m + 3*g - b = 0, -m + 3*g = 2*m - 54. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -380\/11 + 376\/11. Let h = -815 + 811. Which is smaller: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 1. Let q(x) = 4*x**2 + 11*x - 15. Let o(d) = q(d) - 3*t(d). Let a be o(-13). What is the highest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 5. Let f be x(5). Suppose -4*n - n = f. What is the units digit of n + (-4)\/(4\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 35*(-8 + 4 + 5). Let n = -23 + y. List the prime factors of 144 - (39\/(-12) - n\/16).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccy. Give prob of sequence ccy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 20 = 4*r + 6*p, 4 = -2*r + 5*p. Let g = 6 - r. Suppose -128 = -5*n - 53. Solve 6*v = g*v - n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**4\/11 + 16*r**3\/11 + 686*r**2\/11 + 1916*r\/11 + 1248\/11 = 0.\nAnswer: -13, -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1153?  (a) -2\/3  (b) -5  (c) -5\/3  (d) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 + -22. Let p = y + -3. Let i = p - -2. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -859 + 35216\/41. Let k(v) = -v**3 + 25*v**2 + 114*v + 59. Let j be k(29). Is w > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 40*r**3 + 11*r**2 + 2. Let y(a) = -42*a**3 - 10*a**2 + a - 3. Let l(s) = -3*m(s) - 2*y(s). What is the third derivative of l(z) wrt z?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*c - 56073 + 4775. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9034 + 3\nAnswer: 9037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 divided by -284634?\nAnswer: -67\/284634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**6\/660 - 2*y**5\/165 - y**4\/44 - 4*y**2. Solve k(j) = 0 for j.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 10*f - 3. Let p be y(2). Suppose 5*i = -p - 3, 5*i = x - 25. Suppose 0 = 3*o - x*m - 2, -m + 10 = 3*o - o. Put o, -1, -5 in decreasing order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -6 - (3 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/18*15\/(-2). Suppose 0 = n - 105 + c. Suppose -4*d + n = 12. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 58*i**2 - 4*i - 3. Let z be y(-6). Let l = -3709 + z. What is l rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 261\/(-27) - (1 - 11). Factor -i - 1\/3*f**2 - 2\/3*f.\nAnswer: -(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 7*x + 8. Let d(t) = -8*t - 9. Let z(o) = 3*d(o) + 4*q(o). Let k(g) = -5*g - 6. Determine 2*k(b) + 3*z(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5220337 to the power of 1\/2, to the nearest integer?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/i**30*i)\/(i**(-28)*i))**(-11\/8) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 7.1. Let k = j - -0.8. Let h = 0.405059 + -0.805059. Which is the second smallest value?  (a) 2  (b) h  (c) -2  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 4*u**2 - 24*u - 2*u + u**2.\nAnswer: -4*u**2 - 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) 3\/2  (c) 5  (d) 0.3  (e) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 9*y + 4. Give a(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4731 and 1428.9?\nAnswer: 6159.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 = -3*q - 65 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 97626 and 19610.\nAnswer: 18060810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -1. Let q = -9\/19 + 137\/209. Let l = 163\/20 - 42\/5. Which is the closest to l?  (a) k  (b) q  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 4\/((-12)\/(-957)). Suppose q*y - 321*y = -24. Calculate the least common multiple of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5057 + 8886. Let s = 3249 + l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that o**4\/4 - 6381*o**3\/4 + 13572387*o**2\/4 - 9622822383*o\/4 = 0.\nAnswer: 0, 2127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 105472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2282303 divided by -48.\nAnswer: 2282303\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k**3 + 2*k**2 - 2*k + 1. Let l be o(1). Let j(y) = 3*y + 21. Let q(c) = 2*c + 20. Let g(t) = l*j(t) + 3*q(t). List the prime factors of g(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.88035 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2982\/17 + 114897\/646. What is the common denominator of -91\/2 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, j: 2, m: 1, z: 2, u: 1}. What is prob of sequence mu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 + 49*s - 32. Let m(l) = -l**2 - 35*l + 21. Let c(w) = 7*m(w) + 5*u(w). Let n(k) = 32*k. Determine c(n(t)).\nAnswer: 3072*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 7*f - 36. Give c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*((-1*sqrt(84)*2)\/sqrt(12) + 5 + 2*sqrt(343)) + 5 + -3)**2.\nAnswer: 26280*sqrt(7) + 232129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 417, -14, 6 in decreasing order.\nAnswer: 417, 6, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 10*z**2 - 5*z - 48. Let a be q(-10). Let p be 10*1*3\/6. Solve -w = -v, a*w + 2*v = 3*w - p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2542 - -43216\/17. Which is the closest to 0.18?  (a) -3\/4  (b) -1  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -182, -645, -1406, -2459, -3798, -5417, -7310, -9471?\n\"Answer: r**3 - 155*r**2 - 5*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -976 + 73?\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + 4\/16 + (-2)\/8. Let y(l) = 7*l - 8*l + 4*l**2 + 5 + l**2. Let i(x) be the first derivative of 2*x**3 - x**2\/2 + 6*x - 1. Give k*y(o) - 3*i(o).\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + (-6 - (-2 + -11) - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53 + 50. Let d be (-5)\/(2745\/1092) + i + 5. Let a = -405 - -406. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**6 + 7*k**5 + 783*k**3 - 213*k**2 + 117*k + 1 wrt k?\nAnswer: 240*k**3 + 420*k**2 + 4698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37772 divided by 133?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n - 14*n = -3*v - 363, -v = 4. Solve 4*p - 97 + n = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from ifbzn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 3*h - 15, d = -h - 3*h + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 893*t - 1740. Let y be x(4). What is the greatest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c**2*o**2*s + 95*c**2*o**2 + 3*c**2*o + 48*o*s wrt o.\nAnswer: 2*c**2*s + 190*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 9*z - 16. Let c(d) = 4*d - 8. Let h(t) = 7*c(t) - 3*i(t). Determine h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 331561?\nAnswer: -33156.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 8, w: 2, d: 2, j: 2, g: 5}. What is prob of sequence wggj?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1671072 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from vllratavvv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/((r\/(r*r*r**(-1\/39)))\/r))*r*r*r*r**(-4))**(-1\/55) assuming r is positive.\nAnswer: r**(116\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -73724 + 73729. Factor -1\/6*h**2 + 0*h - 1\/6*h**3 + 0 + 1\/6*h**g + 1\/6*h**4.\nAnswer: h**2*(h - 1)*(h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 762 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-9\/5)*i\/i**30*i*i assuming i is positive.\nAnswer: i**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of j**7\/105 + j**6\/12 + 3*j**5\/10 + 7*j**4\/12 + 2*j**3\/3 + 7*j**2. Find l such that f(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8043401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -0.1, -3\/2, 242763 in descending order.\nAnswer: 242763, 5, 2, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 106933715*a**3 - 68276118?\nAnswer: 320801145*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z + 3*z**2 + z**3 - 2036*z**4 - z - 4 - 2022*z**4 + 4059*z**4 to f*z**2 + s + a*z**4 + w*z**3 + h*z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + b**2 - b + 1. Let z(x) = -4*x**3 + x**2 - 15*x + 5. Give 3*t(o) - z(o).\nAnswer: o**3 + 2*o**2 + 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 13.1*224.4\nAnswer: 2939.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 28, 33, 38, 43, 48?\n\"Answer: 5*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -94 + 105. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 4:35 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -24)*710\/(-781) - 32.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8207 and 1711?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 23120?\nAnswer: -23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -2*d. Suppose -4*o = -d*n - 2*n - 10, 2*o + 4*n + 20 = 0. Suppose 5*j + 3*w - 56 = o, -3*j - 5*w = -2*j - 20. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1118 + 1397. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2024233165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 877681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 153 = -2*q. Let i = q + -31. Suppose 0 = -0*z - 5*z - i. Is -4 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b. Let m(r) = 4. Let i(z) = -c(z) + m(z). Let o be (3 + -17)*(12\/(-8) + 2). Let j(u) = 1. Calculate o*j(k) + 2*i(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-10))\/((-11)\/(-165)). Find the common denominator of -42\/11 and 59\/24 - (-16)\/y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 87 + -91. Let a(l) = l**2 + l - 2. Let f be a(-2). Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2 - 10. Let t = 11 - -1. Let v(m) = 3 + 2*m - m**2 - 10 + t + 0. What is v(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 62829 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 11*y**2 + 12*y + 15. Let u be z(12). Suppose 10*d = u*d - 65. What is the highest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 2 + 1)*(0*y + 5*y - 6*y) + (-2 + 3 - 2)*(-1 + y + 1))*(25 - 136 - 113) to b + i*y and give i.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52613.559 - 52624.5589965. Let a = 7 - 18. Let k = a - p. What is k rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 6*t**2 - 5*t - 4. Let v(m) = 0*m + 1 + 4*m - 2*m. Let h be v(-3). What is y(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 8, n: 5}. What is prob of sequence jnjj?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - l + 671, 3*p + 3*l - 723 + 42 = 0. Does 40 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 836 and 220.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 + 3 = -3*s. Let x = -9 - s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -7*x**3 - 39*x**2 - 18*x + 2. Let m(d) = 7*d**3 + 38*d**2 + 18*d - 3. Let u(h) = -6*m(h) - 5*y(h). Factor u(z).\nAnswer: -(z + 1)*(z + 4)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5734, 5708, 5654, 5560, 5414, 5204, 4918?\nAnswer: 4544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -5. Suppose -3*g + 10 = z - 7, -o*g + z = -25. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4*o**4 - 2*o**3 + 2*o**2 - 1. Let z(s) = -s**3 + s**2. Let h(v) = p(v) - 2*z(v). Find the first derivative of h(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 9) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 353*h - 11*h**2 - 53*h - 150*h - 150*h.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8495 is divided by 2655?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4832576 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 9:52 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 12456000 to the nearest one hundred thousand.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 + 7*q - 16. Let c(n) = -11*n**3 - n - 2. Let r(b) = b - 6. Let l be r(4). What is the remainder when c(l) is divided by m(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342864413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23 - -27. Is ((-198)\/(-5) - j)*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39\/35 + 7\/5. Let o = -10 + 9.1. Let g = o + 1. Which is the closest to g?  (a) -1\/7  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -297, 21, 555, 1299, 2247, 3393?\nAnswer: 4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 at most 25.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -19*n - 83. Let d be q(-9). Let h = 125 - d. Calculate the remainder when 406 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 16) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + -1 - (-6 - -6). Suppose -2 = -2*k + v*t, -3*t - 7 + 19 = 0. Solve -k*s - 9 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - ((sqrt(810) - (sqrt(810) - (-2*sqrt(810) + sqrt(810))) - sqrt(810)) + sqrt(810)) - sqrt(10))\/(sqrt(45)\/(sqrt(9)*1)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 3*x**5\/8 + 879*x**4\/8 - 50193*x**3\/8 + 824925*x**2\/8 - 2413851*x\/4 + 842886 = 0.\nAnswer: -344, 2, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -5*h**8\/336 + 17*h**5\/60 - 12*h**2. What is the third derivative of z(y) wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, u: 1, k: 5, n: 2, o: 1, h: 1}. What is prob of picking 1 b and 1 h?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 6504b?\nAnswer: 6504a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 3:56 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 44547174359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*s + 2605 = -46*s. Let x = 889 + s. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/128720 and -83\/2.\nAnswer: 128720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/((-45)\/10) + -7. Let d be 132\/28 + s - (-17)\/35. What is the biggest value in 4, d, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 times -280710\nAnswer: 5052780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and (-3)\/45 - 70588\/(-420).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200849 is divided by 25093?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5489695 by 5.\nAnswer: 1097939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -132.4 - -148. Let p = -16 + q. What is the nearest to -2\/3 in p, 5, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (22 + -18 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -9396.007 to 0 dps.\nAnswer: -9396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -121, 67, 3 in ascending order.\nAnswer: -121, -8, 3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19 - 34 + 7 + 1915*x + 10)*(2*x - 4*x + 6*x) to the form f + v*x**2 + r*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 48\/30 + 1\/(5\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 1:33 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (11 + -1 + 3)*33. Let x = -6169\/10 + 623. Find the common denominator of x and -1*l\/(-162) + -3.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-26)\/(-13)*-2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1158314, -492 in descending order.\nAnswer: 5, -492, -1158314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1368 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 7. What is the remainder when n(13) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-11164)\/(-4522) - 3) + 52\/91 and 55\/9.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 144387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4278.\nAnswer: 2, 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511983 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -21151.6 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 877 a factor of 1276465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2. Let w = -10 - -9. Let j be p(w). Solve 0 = 4*s + 17 - j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 408478 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(539)*4.\nAnswer: 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h**2 - 4*h. Let r(t) = 16*t**2 - 19*t + 1. Let n be ((-5)\/(-4))\/(55\/(-660)). Let m(g) = 18*g + 281. Let c be m(n). Calculate c*u(s) - 2*r(s).\nAnswer: s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 89*b**2 + 39*b + 10. Let t(w) = 981*w**2 + 423*w + 108. Let z(c) = -54*p(c) + 5*t(c). Let j(q) = -4*q. Give j(z(k)).\nAnswer: -396*k**2 - 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 6*v - 4. Let r be p(2). Is r at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343)*3 - sqrt(343))\/sqrt(7))\/(-6*(sqrt(7)*-2 - sqrt(7)))*-3.\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and 0.4641942455574.\nAnswer: -1.5358057544426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3192811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 1. Let j be 9\/2 - 72\/48. Suppose j*l - 3 = -0. Let p(i) = i + 8. What is l*p(w) - 5*t(w)?\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 25*c**3 - 1148*c**2 - 80*c - 172. Calculate a(46).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.4 - -22.4. Let o = -24 + k. Sort -1\/6, 5, o.\nAnswer: o, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13  (b) 2\/19  (c) -0.01  (d) 0.06  (e) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104526 = -68*r - 105682 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -6*t**3 - 49*t**2 - 14*t + 40. Give i(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {f: 17, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -502 + 492. Which is the second biggest value?  (a) -3  (b) 5\/6  (c) 1\/5  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 173214163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from wcsmwfcks.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 4 - 5*v - 3*v. Let q be (-1*12\/8)\/(2\/4). Is x(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than or equal to 1833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 3 = -1, -7*o - 40 = o + 4*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-36)\/(u**(4\/5)*u*u**(-3)*u)*((u*u**2)\/u**5)\/((u*u*u\/(u**(1\/5)*u))\/(u\/u**(-2\/9)*u)) assuming u is positive.\nAnswer: u**(-1682\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 1985 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -y**6\/6 - 3*y**5\/5 - y**4\/4 + y**3 + y**2 + 31. Factor b(r).\nAnswer: -r*(r - 1)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.28 and -9569387870.\nAnswer: -9569387869.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 15 - 13. Suppose -2*q + n*q + 60 = 0. Sort 2, -5, q in increasing order.\nAnswer: q, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-30)\/8)\/3*4. Let c(t) = -9*t - 65. Let s be c(-8). Suppose 11 - 39 = -s*m. Sort p, m, 0 in ascending order.\nAnswer: p, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-87)\/58)\/(4\/((-720)\/(-27)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 68\/2*(-21)\/28*(-446)\/(-1338).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 4*x - 8, -2*s + 7*s - 16 = x. Suppose -3*k - 4 - 5 = -2*o, 3*o + 12 = -4*k. Solve o*q + s = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 5259265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2 = 17. Let y = q + 0. Suppose -y*g - 3*c = 994, 3*g + 576 = 4*c + c. What is g rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 + 118. Is (-3)\/(-2)*m\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, -1, 25, 2.\nAnswer: -6, -1, 0, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 25*t**2 - 30*t - 53. Let x be w(-26). What is the highest common factor of 408 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/90 and -77\/75?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 11\/1788?\nAnswer: 11\/1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 435*a**2 + 341*a**2 - 186*a**2 - 71*a**2 to k*a**2 + y*a + c and give k.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 17c90 + 5?\nAnswer: 17c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - 168*d - 341. Let q be t(-2). Solve 4*y - 3*c - 13 - 8 = 0, q*y + 3*c = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6*h + 37. Let d be z(-6). Sort 2, d, -5, -12.\nAnswer: -12, -5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(-64)\/6*(-4 + -12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggu when three letters picked without replacement from {u: 2, g: 1, i: 4, v: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -18*l - l**2 - 275*l + 297*l - l**3. Let i(h) = 2*h - 1. Let v be i(2). Suppose -v*m - 9 = -0*m. Calculate p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 720 is divided by 305.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.5909 millilitres in litres?\nAnswer: 0.0785909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 585, 2348, 5287, 9402, 14693, 21160, 28803?\nAnswer: 37622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from ueluzluttuuuuluuz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16227667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3 + v**2 - 6 + 3*v - 3. Let d be f(-4). Which is bigger: d or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 5*s - 8 + 13, 0 = 4*g + 2*s - 6. Factor -4*o**3 - 4*o**3 - 12*o**3 - 2*o**4 + 128 + 8*o**3 - 32*o - 10*o**3 - 72*o**g.\nAnswer: -2*(o - 1)*(o + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 - -37. Suppose 3*k - 42 = -2*k + f*i, -3*k = 3*i - 6. Suppose 426 + 318 = k*w. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111202302001 (base 4) to base 8.\nAnswer: 25426201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 + 0*k**2 - 5*k**2)*(4*k + 11 + 3*k - 142).\nAnswer: -14*k**3 + 262*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -7*t - 18. Let s be f(-3). Let o(w) = w**2 - 2. Determine o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/69540 and -95\/56.\nAnswer: 973560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 - (-18)\/(-8))\/(2\/24). What is the first derivative of -11*q**4 + 2*q**2 - 2*q**2 + b - 16*q**4 wrt q?\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21027 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -102980.01 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 110 + 10. Let q = -16 - o. Suppose q*j - 65 = -v, -3*v + 24 = j + 5. Solve 0*y + 4*y + 2 = 5*r, -4*y = 4*r - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5 = 1, -3*z + 51 = 3*r. Suppose 0 = 5*f + z, 88 - 353 = -2*o + 5*f. What is the greatest common divisor of 50 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s**2 + 17. Let q be ((-4)\/(-5))\/(9\/((-540)\/8)). Let y(u) = -4*u**2 - 2*u**2 + 5*u**2 + 6. Calculate q*p(t) + 17*y(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**4 + 122299112*i**3 - 934817416646548*i**2 + 5608901197803696*i - 8413350145667856 = 0 for i.\nAnswer: 3, 15287386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (571\/((-311195)\/(-34662)))\/((-3)\/5)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 + -57. Which is the closest to f?  (a) -3  (b) -1  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = a - 980. Let w = 449 - a. Suppose 4*z = -0*z + w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2212 + -1222201202000?\nAnswer: -1222201211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.015 - 1.985. Sort 6, m, -5 in ascending order.\nAnswer: -5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19206, -19208, -19212, -19218, -19226, -19236?\nAnswer: -19248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 8*r**3. Let c be s(1). Let k be 8\/(-6)*2*(-30)\/40. Suppose 3*v + 3*x = 1 + 2, 10 = 4*v + k*x. Is v greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w - 4 + 4)*(w + 0*w + w)*(-2 - 2*w**2 + 2) + (-3*w + 5*w**2 + 3*w)*(-3*w**2 + 3*w**2 - 2*w**2) as f*w + h*w**3 + p*w**4 + i + o*w**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -166 - -270. Let m = -107 + h. Is m less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3254.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1826 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0682 and 22271.4.\nAnswer: 22271.4682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 49946.32591 rounded to zero dps?\nAnswer: 49946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 210 or -34686?\nAnswer: -34686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 420 - 416. Suppose 2*t - 28 = -36. Let c = -11 + 6. Sort c, l, 0, t.\nAnswer: c, t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*p + 12*p + 5006. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of r**5 - 1507561*r**2 - 65006935*r?\nAnswer: 20*r**3 - 3015122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 36*a**2 - 2*a - 1. Let z be r(-1). Suppose z = s - 26. Suppose -s = -7*l + 4*l. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**5 + 3*y**5 - y**5 + (2*y**3 + 0*y**3 + 0*y**3)*(-2*y + 2*y**2 + 2*y) - 555*y**4 - 868*y**5 + 436*y**5 + 431*y**5 - 3*y**5 - y**5 + 5*y**5.\nAnswer: 6*y**5 - 555*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(-10) + (-5)\/2. Let n be (-5)\/r*(-1)\/25. Let q(s) = s**3 - 3*s**2 - 4*s. Let f be q(4). Is f <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -8*r**4\/7 - 22*r**3 + 2778*r**2\/7 - 608*r - 1240\/7 = 0?\nAnswer: -31, -1\/4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.5 - -470.5. Let a = 495 - u. What is the smallest value in 0.2, 2\/7, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.132133 months in years?\nAnswer: 1.42767775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 10*l**2 + 10*l - 7. Let q be d(-11). Suppose 2*z + q = 54. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of 2*m**3\/3 - 1. Suppose 0 = 5*a - 2*f - 20, 3*f = 2*a - 3*a + 4. Let o(d) = 3*d - d - a*d. What is s(o(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*m - 480. Let c(l) = 51*l**3 + l**2 + 2*l. Let w be c(-1). Let y = w - -74. What is the highest common factor of y and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -348 divided by -29?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, o: 1, g: 1, b: 1}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence owi when three letters picked without replacement from {w: 1, i: 1, a: 1, n: 1, o: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - ((-16720)\/(-60))\/(-19).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 68541787*b**5*d*u - 2*b*d*u + b*d - 3*b*u - 4927*b + 9*d*u + 15 wrt b?\nAnswer: 1370835740*b**3*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 4*y = 9. Let u(w) = 10*w - 30. Let x be u(y). Is -15\/16 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-184)\/(-12)*(115\/90 - (-8)\/36). Solve y + 16 = -5*u, 2*u - 22*y = -b*y - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1634, -1600, -1544, -1466, -1366, -1244, -1100?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*-1*(-30)\/140.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 3, b: 4, z: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2009980787?\nAnswer: 23, 87390469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*v**3 - 83*v**3 - 114*v**3.\nAnswer: -65*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-10))\/(9\/(-30)). Suppose -56 = -8*o - 0. Let f be -2*w\/(1 + o). Calculate the greatest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 10:22 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -74033972*y - 65092283?\nAnswer: -74033972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 25545124 (base 6) to base 5\nAnswer: 203311343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 76554 + -52780. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31220445 = 83*q - 83142848. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590 + 1227 = 66*x + 563 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-2\/7))**(-2\/9))**(-3\/2))**(-35) assuming l is positive.\nAnswer: l**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4463*b**3 + 2*b + 3868 wrt b?\nAnswer: 26778*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83324445 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 680*q**2*s**5 + 25*q**2*s - 48*q**2 - 8*q*s - 10452*s**4 + 127 wrt s?\nAnswer: 13600*q**2*s**3 - 125424*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1529 and -1530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jgjg when four letters picked without replacement from gsggggjgsjgjjg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 7760781854?\nAnswer: -7760781850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = m - 152 + 162, -3*h - 15 = -3*m. Which is the smallest value?  (a) -2\/5  (b) -0.3  (c) -0.2  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -16*p**2 + 309*p - 111. Give q(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -6810109, -6810112, -6810115, -6810118, -6810121?\n\"Answer: -3*w - 6810106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t - 32996. Let j(q) = 2*q. Determine j(n(y)).\nAnswer: 6*y - 65992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17?  (a) 0.3  (b) 27  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f - 6. Suppose -5*a - 3*h + 67 = -0*h, -2*h = -3*a + 25. What is the remainder when t(12) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1920683, -3841366, -5762049, -7682732, -9603415?\n\"Answer: -1920683*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 9 + 12 = 0. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 24*t**2 - 19*t + 131. Let u be p(21). Suppose d + 1045 = u. Calculate the remainder when 78 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364318?\nAnswer: 2, 182159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 533 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 72 - 32. Is u at least 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeette?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3352*v - 2632. Calculate r(-1).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -3*l + 4*l + 27, 4 = -2*l. Suppose -8 = -o + p - 1, 2*o - 29 = g*p. Factor 2*x + 6*x - 6*x - 8 + 6*x - o*x**2.\nAnswer: -2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*d - 2*l = -52*d + 26, 5*d + 7 = -0*l + l + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 2*n)*(-3*n - 4 + 4) + n**2 - 3*n + 0*n**2 + 4*n.\nAnswer: 7*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 491818841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 755*y**2 - 2*y**5 + 21*y**6 + 2*y**5 + 427*y**3 - 425*y**3 - 194*y**6 wrt y?\nAnswer: -20760*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -2. Suppose 0 = -5*k + j + 17, -2*j = -3*k - 5*j + l. Suppose 0 = -k*t + 5 + 7. Solve t*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3064.968cm to nanometers.\nAnswer: 30649680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/3 and 33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.964 - -0.036. Put -0.2, -0.5, 0.1, z in descending order.\nAnswer: z, 0.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 145634689 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 4*i - 3. Let g be c(-6). Let j(w) be the second derivative of -w**3\/6 - 15*w**2\/2 - 69*w. Let v be j(g). Solve v = 7*y - 2*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 9800*w + 6002500.\nAnswer: 4*(w + 1225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 + 1856*o - 7409. Let k be i(4). Let f(b) = -4*b + 183. What is f(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 - 9 = -4*f. Calculate the common denominator of 2 + ((-2905)\/10)\/f and -58\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*d - 70 = 0, 5*m - 169 = -3*d - 47. Let f = m + -23. Suppose -4*o - p + 827 = 0, 2*o = f*p - 5*p + 411. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -10*g**3 + 2*g**2 + 34*g + 56. What is the thousands digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 + 1. What is the smallest common multiple of 4 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0045276441 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 214723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-8)*56\/35. Let h be 144\/54*78\/8. Let n = 47 - h. Solve -5*f - n = m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -285*d - 105713898 = 15288552. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 350426865.26 and 0.04?\nAnswer: 350426865.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-45))\/t**(31\/5) assuming t is positive.\nAnswer: t**(199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 72128 (base 14) to base 8\nAnswer: 1030310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 5  (b) 5.79  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8105 - 1?\nAnswer: -8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -63, -121, -173, -219, -259, -293, -321?\n\"Answer: 3*s**2 - 67*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119447723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x + 2. Let u(f) = -38*f + 12. Let p(l) = -u(l) + 6*y(l). Calculate p(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1548871 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.022 from 108733082.\nAnswer: 108733082.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 6*d - 2. Let c(a) = a. Let s(p) = -8*c(p) + k(p). Let l(v) = -1. Let f(w) = -2*l(w) + s(w). Let q(z) = 4*z. Calculate f(q(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83314, 83360, 83406?\nAnswer: 83452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(12\/21)*(-430)\/9933*22.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 8*i**2 - 304*i - 3848. Determine z(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, u: 2, q: 2, a: 3}. What is prob of sequence iu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b - 28. Let f be (1932\/(-72) - -14) + 13. Let w(p) be the second derivative of 0*p**2 + 0 - f*p**4 + 24*p + 0*p**3. Determine w(t(q)).\nAnswer: -8*q**2 + 224*q - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*f + 19. Calculate the remainder when 38 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a + a - 3. Let q(p) be the second derivative of -25*p**5 + 0 - 25*p**4 - 40\/3*p**a - 125\/12*p**6 + p - 4*p**2. Solve q(r) = 0 for r.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16\/(4\/(-1)) - -12. Suppose -d*h = -4*h - 16. Put -1, h, -0.6 in descending order.\nAnswer: h, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -211 - -874. Let r = d - 515. Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 3504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20012 - -1?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380189.\nAnswer: 380189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -323*o**5 + 141372*o - 141372*o + (-2*o - 3*o + 7*o)*(7*o**4 + 7*o**4 - 2*o**4).\nAnswer: -299*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1912\/257 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 402\/(-3990) + ((-22197)\/(-1715) - 13).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bcoq when four letters picked without replacement from {c: 4, j: 1, o: 2, q: 3, l: 1, b: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 + 33*x**2 + 18*x + 15. Let w be c(-16). Let z be w\/(-2) - (-33)\/22. Solve 0*b + 3*b = -3*m - 12, -2*m - z = 4*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14454?\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*r = -z - 8, -r - 15 = 4*z. Let k = z - -24. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 1802 = 1804 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105 - 17*n - 215 - 506.\nAnswer: -17*n - 616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45\/(-75) + 7106\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32293\/249 + 389\/3. Is 0 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**4 + 0*a**4 + 0*a**4 + (-3*a**3 + 3*a**3 + a**3)*(-a - 4*a + 2*a) in the form d*a**2 + l*a**4 + c + b*a**3 + w*a and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*b - 2 = -8, 4*y = -5*b + 11. Let q be (3 - 1) + (-112)\/8. Let p = q + 23. What is the remainder when p is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54754061.\nAnswer: 683, 80167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 + ((-616)\/(-352))\/((-46)\/1336).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 114233 (base 5) to base 11.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(1\/5)\/w))**(-17)\/(w**9\/(w*w*w**(-11)*w)))**(3\/11) assuming w is positive.\nAnswer: w**(-714\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7769 + 16776. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2b9933b (base 12) to base 8\nAnswer: 41775637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, -1, 1616 in ascending order.\nAnswer: -1, 4, 6, 1616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/9 - 80\/6. Let g(m) = m**3 + 12*m**2 - 17*m - 14. Let i be g(k). List the prime factors of i\/(2*1\/3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*((sqrt(425) - (5 + -1 + sqrt(425))) + 5 + sqrt(425)*1))**2 + -4 + 5)*-6.\nAnswer: -2562 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4394 is divided by 139?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 18*i**2 + 23*i - 42. Let t be o(17). What are the prime factors of ((-30)\/25)\/((-2)\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 4*u + 2. Let q be r(-4). Let c(m) = 5 - 5 + m**2. Let j be c(q). Solve 4*h + j*p = 12, 2*p - 1 = 2*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10967 is divided by 347?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/15*-6 + 11 + 536\/(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 81 - 16. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*c*w*z + c*w + 8*c*z + 12*c + 3*w + 7 with respect to z.\nAnswer: -18*c*w + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2 = 5*s, -2*s = -13*j + 8*j - 38. Solve -7*l + 5*l + s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/155  (b) 3  (c) -1\/4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/2099 - 2081\/12594. Let i = -9\/10 + 7\/5. What is the closest to 0 in 1, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30 - (13 + -10)) + (-20 - -11) + 19\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1248.803058*-0.3.\nAnswer: -374.6409174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1834 and 50042?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -204*c**5 - 205*c**2.\nAnswer: -12240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/20*(2340\/456)\/(-39).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 times -70426?\nAnswer: 1690224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + -7. Let d be i*(-1 + 0)\/14. What is the nearest to 0.1 in 0.1, 4, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2\/l**(-4\/9))\/(l\/(l\/l**(-6)*l*l))**(-1\/34) assuming l is positive.\nAnswer: l**(338\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/4)\/(1\/40). Suppose -i - i = -v. Calculate the common denominator of -9\/2 and 2\/i*74\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 - -3.8. Let r = v - 7. Let w = 318 - 4132\/13. Which is the smallest value?  (a) w  (b) -1\/4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11976026 is divided by 3991991?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 14 - 94. Suppose 0 = -3*l + 12, 0 = 4*v + 4*l - 0*l - g. Suppose v*j = 3*j - 21. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 10 = -0*z + 2*n, -2*z - 5 = -n. Let r = 21210 - 21215. Sort z, r, -3 in decreasing order.\nAnswer: z, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -9*h - 11. Let b(t) = 2*t + 2. Let u(n) = 11*b(n) + 2*v(n). Let p(k) be the third derivative of 0 + 0*k + 3*k**2 + 0*k**3 + 1\/24*k**4. Give p(u(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4 = 0, -20 = -l - 3*w + 18. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310 (base 11) to base 7.\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - y + 8. Let d = 7 + -7. Calculate the smallest common multiple of g(d) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 1  (c) 4\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-59)\/(8968\/(-5700))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -872.27198860198.\nAnswer: -872.27198860198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 6 - 6)*(-32*s - 477 + 477).\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddssdvtnnsdvdsvddsd. Give prob of sequence dts.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 8*o = -4*x - 11, -4*o - x + 7 = 0. Let g(d) = 2*d + 1. Let r be g(1). Let u(h) = h + o*h + 0*h - r*h - 2. What is u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-6) + (-299)\/(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3460213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -403.99 + 398.99. Let z = -4 - -9. Which is the biggest value?  (a) s  (b) 0.5  (c) z  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mymm when four letters picked without replacement from yhhhmfpmmhpf?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 141670, 141673, 141686, 141715, 141766?\n\"Answer: l**3 - l**2 - l + 141671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*x - 68 = 0, -87 = -7*f - 4*x - x. Suppose 9 + 27 = 2*o. Calculate the least common multiple of o and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 310332242400 - -10?\nAnswer: 310332242410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5478*g + 31248 = -5814*g for g.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i**2 + i - 1. Let v be s(-2). Suppose -13*l - 8 = -d - 16*l, -3*d - 5*l = -20. Solve 0 = -v*n + 5*j - 10, d*j = -2*n - 19 - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31140*j**3 + 8051*j**3 + 17488*j**3 + 17428*j**3 - 17963*j**3.\nAnswer: 56144*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 102 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -16*l**2\/5 - 13378*l\/5 - 1672\/5 = 0.\nAnswer: -836, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2647 = 2*c, -h + 4*c - 426 = 473. Is -875 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**2 + 32*v + 198. Give f(20).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1468*s + 1656*s - 4308*s + 1478*s.\nAnswer: 294*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -8, 0, 15, -24, -4 in ascending order.\nAnswer: -24, -8, -4, -1, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**2\/4 - 305*k\/2 - 39060.\nAnswer: 5*(k - 248)*(k + 126)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -4. Is s >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, j: 2, x: 5, q: 1, v: 4, o: 1}. Give prob of sequence jej.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*t - 45896 + 45896 - 7*t**2.\nAnswer: -7*t**2 + 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/4 + (8 - 516\/72). What is the second biggest value in 75, d, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 10:07 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2344.0154944 and 0.\nAnswer: 2344.0154944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 0, -21 = 2*d + 4*s - 5. Let o(i) = i + 11. Let m be o(d). Solve -m*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 (base 10) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, j: 7}. Give prob of picking 1 f and 1 j.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5601*f*h*j**2 + 2*f*j**3 + 9299*f*j**2 + f*j - 243*h*j**3 - 12*j**3 + j wrt h?\nAnswer: -5601*f*j**2 - 243*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 529 a factor of 402959931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -713122 (base 8) to base 3.\nAnswer: -102221111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 6*l**2 - 17*l + 43. Let t be (32\/20)\/(-1)*(3 - 8). What is the units digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2341 bigger than -2746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (2 - 1 - 0) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 8*s - 2*f - 1927 = 0, 3*s + 3*f = 1917. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-6))\/(15\/9). Let v = 1029\/5 - 205. Factor 2\/5*l**2 + n + v*l.\nAnswer: 2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 593418 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 151348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16 + -16)*1\/3. Let m(h) = 5 + 3 - h + 0*h**2 - h**2. Is 4 a factor of m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = 5*i + 25, i + 0 = -7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 2:47 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -3 + 28 + 5 - 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 6 + 1 = -5*o, 5*j = o + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*((sqrt(275) - sqrt(275)*2) + -3 + -5 + sqrt(275)*-1 + 1))**2 + 4.\nAnswer: 560*sqrt(11) + 4599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -5*g + g**2 + 12*g + 10*g + 8*g**2 - 18*g. Suppose -9*p + 0*p = 9. Calculate x(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1857 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19.941 + -20. Let g = q - -0.0618. What is g rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/2 + (7023147\/60120)\/43. Let k = u + -7\/835. Find the common denominator of k and 113\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 11*q**3 - 3*q**2\/2 + q - 3. Let z be ((-3)\/(-9))\/((-2)\/(-12)). Is c(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12513151 + -1?\nAnswer: 12513150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 7*v + 10. Suppose 4 = k + 2. Suppose -12 = -2*n + k. Let m be c(n). Solve -5*b = 2*l - 21, l + m = 5*b - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - f + 1 + 0*f)*(192576 - 387886 + 189743).\nAnswer: -11134*f - 5567","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -11511*m - 1244156 - 3151*m + 1244156 as x*m + h and give x.\nAnswer: -14662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**3 + 46*m**2\/5 + 4*m = 0?\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127821.\nAnswer: 3, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5523 = -3*o + 5*i, 0 = 2*o - 4*i - i - 3682. Let p = 3090 - o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4979244 rounded to three decimal places?\nAnswer: 1.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3707315 + -2642685. What is l rounded to the nearest one hundred thousand?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b - 6. Let r(u) = u + 1. Let f be (-1)\/(-15)*-9*(-9 + -1). Give f*r(c) + d(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5489.\nAnswer: 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 - 0.18?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -16256514 times 2\nAnswer: -32513028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 15130.261 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 0 - (6 - (19 + -12 + -14))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from 1448647.\nAnswer: 1448647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - h + 3. Let g be q(0). Suppose -3 = -g*a - 0. Suppose -5*u - 2*n = -17, -3*u - a = 4*n - 14. Solve -u*x + 6 = 3*t, 4*t + 9 = 3*x - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7  (b) -215  (c) -15  (d) 2  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 5*b - 35 = 0, -5*x - 47 - 32 = -2*b for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-7) - 8525\/(-4774))*2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(153))*-4 - -6*(-1*sqrt(153) - sqrt(153) - sqrt(153)))*1)**2.\nAnswer: 1056*sqrt(17) + 74116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, j: 8, o: 6}. Give prob of picking 3 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4 - 0. Suppose -y*h = -3*h - 31. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415738339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*x - 5*x - 72 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 48 = 3*t. Suppose -2*d + t + 4 = 0. Suppose -4*a - o = 2, -3*a - 1 = -4*o - 9. Solve a = -5*g + 5*h, g - d - 2 = -3*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -1.04  (c) 0.16  (d) -60  (e) 2  (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 50*g - 222. What is t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*b, -b = 3*r - 60 + 152. Calculate the remainder when (44\/(-3) - -1)*-3 is divided by r\/(-12)*63\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 4271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 227, 1443, 3451, 6251, 9843, 14227, 19403?\n\"Answer: 396*k**2 + 28*k - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 3*l + 57 - 605, r + 4*l = 296. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/56)\/((-3)\/((-84)\/(-8))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 - 1 - 2*q**4 + 10 - 11*q in the form x*q + p + o*q**3 + m*q**4 + i*q**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -21.795437+0.5\nAnswer: -21.295437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f**2 - 2*f**2 + 5*f + 3 + 1. Suppose 4*h + 2*j + 10 = 0, 0 = -2*h + 5*h + 2*j + 6. Is 8 a factor of l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11271319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 8:10 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 27*n - 3. Let u be 2\/(-4)*(-13 + 11). Is q(u) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*b = 15, -4*k + 0*b = b - 15. Suppose 4*w + 2*y - k = 0, 7*w - 2*y = 2*w + 14. Solve -2*i - 5*t + 31 = 0, -i + w*t - 8 = -1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-50 - -1)\/((-136)\/(-2)). Let w be (6\/(-34))\/((-6)\/16). Let d = w + p. Is -0.1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 14*o**2 + 34*o - 39. Let x(z) = -12*z**2 - 30*z + 40. What is -7*q(d) - 8*x(d)?\nAnswer: -2*d**2 + 2*d - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*r + 3*r + 150. What are the prime factors of r\/(9\/((-4122)\/4) - 0)?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1864585594 to the power of 1\/3, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 5*o**2 + 2*o. Let f(w) = -6*w**2 - w - 1. Let p(y) = -4*f(y) - 5*j(y). Let s be (33\/(-9) - -1)\/((-2)\/(-3)). What is the units digit of p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13345, -13353, -13365, -13381, -13401, -13425?\nAnswer: -13453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**5*f)*f)\/((f\/(f**(-1\/4)*f*f))\/f))\/(f*f**0)**(-26) assuming f is positive.\nAnswer: f**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 - 5.25. Let s = 6 + d. Let q = -0.644 - s. Round q to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -1014*b**2 + 176435*b + 160. Give m(174).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j + 33. Let p be y(-16). Let t(v) = v**3 + v. Let i(d) = 18*d**3 + 8*d. What is p*i(k) - 8*t(k)?\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 280 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 2*b + 57. Let x = b - -2515. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {y: 5, v: 1, g: 1, d: 3, h: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 8*z - 4. Let q be a(7). Suppose -5*m + q*m + 14 = 0. Let d = 12 - m. Solve d*u - u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 6 = -5*b. Suppose -2*w = b + 3. Is -7 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 706744 and 706744?\nAnswer: 706744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 + 8*k - 10. Suppose 3*s + 17 = -4. What is the units digit of j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 744015023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-286)\/96 + (6 - 3). Let x(v) be the third derivative of 0 - 3*v**2 + 0*v**3 + 1\/240*v**6 + 0*v**5 + 0*v - a*v**4. Factor x(u).\nAnswer: u*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*x = 0. Suppose 4*m - 9 - 3 = x. Suppose -3*u + v + 2 = -13, 3*u - 9 = -v. Calculate the remainder when u is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t + 1. Let p be 10\/6 - (-12)\/(-18). Let r(x) be the third derivative of 7*x**4\/24 + x**3 - x**2. Give p*r(j) - 6*v(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*d - 125*v - 1992 = 21*d - 36*d, -5*d + 52 = -v - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 91, 102, 117, 136, 159?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 3 - 26\/(-12) - 8602\/(-21252).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30 and 7061398?\nAnswer: -211841940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 46721340 and 55820.\nAnswer: 46721340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/11)\/(h\/h**(8\/3)))\/(h**(1\/3)\/(h*h\/(h*h**(1\/5)))))**(-5) assuming h is positive.\nAnswer: h**(-337\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*f + 1136 + 693 = 269 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 - -0.3. Let l = -159 - -164. What is the nearest to w in l, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 6.07. Let u = -700 - -700.17. Let s = w - u. Which is the closest to -0.4?  (a) 0  (b) 1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3*a - 6*a - 391, 5*a = -o + 359. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 0*w - 2*w + 11352 = 0, 3*w = 4*p + 11348. Let c be 12\/42 - p\/7. Factor 392*i**4 - 686\/5*i**5 - c*i**3 + 16\/5 - 40*i + 188*i**2.\nAnswer: -2*(i - 1)**2*(7*i - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 - b - 2. Let k be m(0). Let c(r) = 4*r - 10. Let x be c(3). Let p(h) = 0*h**2 + 4*h + 8 + h**x - 9. Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17, 33, 61, 101, 153?\n\"Answer: 6*a**2 - 2*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2249 and 10380.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 18*y - 8*y. What are the prime factors of (7 + (-12198)\/y)\/(3\/(-2))?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/(-1918))\/((-1056)\/616))\/(16\/(-96))?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 236*g - 6043. Let r be c(30). What is the highest common divisor of 153 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 30\/(24\/(-4)) + 15. Suppose 0 = -2*m - 3*a - 7440006, 0*a - 5*a - h = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*b - 24*b + 200. What is the greatest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -3\/2*y**4 + 1\/3*y**6 - 8\/3*y**3 + 150 + 0*y + 4\/5*y**5 + 4*y**2. What is o in b(o) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3406000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85265 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 3*v**2 - 3*v - 1. Let d be q(-3). Suppose 9 + 87 = 3*x. Suppose i = -3*i + x. Calculate the greatest common divisor of i and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/2 - 5584*h**3 - 15551391*h**2 + 218541008*h - 1531704769\/2.\nAnswer: -(h - 7)**2*(h + 5591)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 399, 599, 933, 1401, 2003, 2739, 3609?\n\"Answer: 67*a**2 - a + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 - -15) + (8\/(-4) - 4). Suppose 2*n + 6 = -4*b, 0*n - 3*b = 3*n. Let y(z) = -10*z**3 - 1 + 4*z**n - 6*z + 7*z**2 + z**g + 6*z**3. Calculate y(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17777 - -17885. Calculate the smallest common multiple of t and 972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*n + 76 + 119 = 0. Suppose -3*j + z + 8 = -3*z, 4*j + 3*z = 19. Solve j*l - 40 = -5*a, -n*l + 6 + 9 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 24, -3, 0.3, 3\/143.\nAnswer: -5, -3, 3\/143, 0.3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**4 + 19*f**2 + 29*f - 1 wrt f.\nAnswer: -36*f**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 524 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -8*d + 2. Solve 0 = -4*c + s - 17, -5*c + d*s = -3*c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u - 2*u + 4*u. Let s(l) = 810*l**2 + 816*l**2 - 1622*l**2. What is q(s(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x = -4*x - 90. Suppose 5 - 2 = n. What is the lowest common multiple of (2 - x\/10)*5 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 1\/2, 0, -1\/22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o - 18*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h**2 + 65*h - 21. What is the least common multiple of 2079 and f(-17)?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 10*u**2 - 10*u - 11. List the prime factors of i(-7).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 0 + 0)*(2*f - 4*f + 0*f) - 2153 + 584*f**2 + 2153 as w*f + q*f**2 + i and give q.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-56)\/(-18 - -4))\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20215.96 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 4. Suppose -6*j + 160 = -2*j. Suppose j = t + 5*u, -5*t = -a*t - 4*u - 120. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 + -1255532?\nAnswer: -1255545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*b - 4. Let q = -2 + 4. What is the first derivative of -p + b - p - q*p + p wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52517, 103265, 154013, 204761, 255509, 306257?\nAnswer: 357005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 16  (b) -0.05  (c) 1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16) - sqrt(48)\/sqrt(3))*4)\/sqrt(8) + (sqrt(22)*1*5)\/sqrt(11).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33016.16 - 33601. Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.4 times 0.02?\nAnswer: -2.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 = -g - 2*f - 20, -4*f + 560 = 4*g. What is the remainder when g is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/40 - (-36)\/15. Find the second derivative of 36*j**3 + j**3 - 22*j - w*j**3 wrt j.\nAnswer: 204*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 11*k**2 + 7*k - 4. Let m be y(10). Let a = m + 36. Solve -3*f + 5 = -4, -a*z = -2*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-19)\/(-38))\/(1\/(-12)) + 5876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 49*r**2 - 48*r - 61. Let v(y) = -y**3 + 8*y**2 + 6*y - 17. Let l be v(9). Is w(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -18a5a372 - 5?\nAnswer: -18a5a377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = -5*k + 3*l, 0 = -15*k + 12*k + l + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 90643.3s in microseconds?\nAnswer: 90643300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/140 and 85\/104.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -87 - -103. Let k be 34\/35 + g\/(-28). Factor -3\/5 + 1\/5*j**2 - k*j.\nAnswer: (j - 3)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -104 - (35 - 36 - 33)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 2*a - 2*a - 3808 = 0, 3*a + 4758 = 5*l. What is l rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/2573 and 91\/2356.\nAnswer: 195548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-19)\/(57\/(-226))*(-6)\/80 and 27\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9280214429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - a + 0 + (-3 - 3 + 4)*(2*a - 5*a + 4*a))*(1 - 4 + 2) + (0 - 2 + 0)*(-4*a - a + 4*a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 10*y + 1. Calculate q(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-5*(1 + (1*sqrt(3)*4 + -1 + sqrt(12)\/sqrt(4) + sqrt(3))**2) + -1.\nAnswer: -2201 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - i**2 + 1)*(-2*i**3 - 3*i**3 + 4*i**3) - 4*i**5 + i**5 + i**5 + 3*i**2 - 3*i**2 - 3*i**5 + (3*i**4 - 3*i**4 + i**4)*(5 - 5 - 2*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35718.44 + 35054. Let n = y + 628.4396. Let v = n - -36. What is v rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*h**6 + 3*h**2 + 33*h**3 - 33*h**3 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -7*y**3 + y**2 - 5*y + 6. Let n be i(1). Which is the biggest value?  (a) -1\/2  (b) n  (c) -111  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 374481.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3052.9567 rounded to the nearest ten?\nAnswer: -3050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 15*a**2 + 11. Let o(j) = 31*j - 63. Let p be o(22). Let u(z) = p*z - 311*z - 308*z + 4*z**2 + 3. Determine -22*u(l) + 6*y(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 43893384 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - l - 5 = 0, 3*q + 4 - 29 = 5*l. Suppose 2*n - 5*b - 148 = q, b + 2*b = -5*n + 432. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - 6 - (-21 + (34 - 16)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o - 1464 - 156. Let x = -167 - o. Let v = -2.4 + 2. Which is the second smallest value?  (a) v  (b) x  (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0  (b) 3\/4  (c) 122756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, 194, -2, 5 in decreasing order.\nAnswer: 194, 5, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 8*x**2 - 3*x + 1. Let g be a(1). Let p(m) = -25*m + 154. Let k be p(g). Solve 2*c + 35 = -3*c + 4*n, k*n - 20 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2 = -0. Let q be (1\/1 - 6) + 2. Let g(n) = 5*n + 5. Let r(f) be the third derivative of -f**4\/6 - 2*f**3\/3 - f**2. Determine i*g(h) + q*r(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337, 1843, 6005, 14173, 27697?\nAnswer: 47927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1, 60, 239, 602, 1215, 2144, 3455?\n\"Answer: 11*c**3 - 7*c**2 + 5*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13164, 49864, 111038, 196692, 306832, 441464, 600594, 784228?\nAnswer: 992372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t + 9. Let g be f(5). Let q be 10\/g*96\/30. What is the units digit of 2\/q*4 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 5:55 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, d: 4, m: 2, l: 2, b: 5}. Give prob of sequence dxl.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 906, 2967, 6118, 10365, 15714, 22171?\n\"Answer: h**3 + 539*h**2 + 437*h - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -73392 divided by 24\nAnswer: -3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1166407.73 to the nearest 100.\nAnswer: -1166400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -m - 41, 1716*m - 30*r - 403 = 1733*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 2*x - 2)*(-3*x**2 + 0*x**2 + 5*x**2) - 4*x**3 + 4*x**3 + x**3)*((1 + 3 - 2)*(-4 + 2 + 1) + 9 + 2 - 3).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.257 and -21457.\nAnswer: -5514.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from ccppccppccccpccc.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and -3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c + 19*c**3 - 8*c**3 - 13*c**3 + 0*c**2 + 0*c**2 + 2*c**3 - c + 3*c**3 + c + (3*c - 3*c - c)*(-4*c**2 + 4*c**2 - c**2) + 3*c**3 - 2*c**3 - 3*c**3.\nAnswer: 2*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - -1*3 - (-117 + 121). Let x be 14 + (6 - 30\/3). Solve x*r - 2*r + 40 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 2*h - 3*h)*(-2*h**2 - h**2 + 2*h**2) + 251*h**3 - 1952 + 2*h**2 - 2*h + 128*h**3 + 1950.\nAnswer: 380*h**3 + 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7218 + 4*r + 7218.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = j + 17290, 58764 + 10391 = -4*j + 3*s. Let c = -9646 - j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -16, -2 in descending order.\nAnswer: -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/(-14) + (-6)\/21. Let a = 375.3 - 397. Let x = -15.7 - a. What is the fourth biggest value in h, -0.5, x, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -70, -271, -616, -1111, -1762, -2575, -3556?\n\"Answer: -p**3 - 66*p**2 + 4*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*w**2 - 60*w + 43*w - 6*w**2 wrt w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 19708  (b) -2\/9  (c) 0.3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4b + 2?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 9:02 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 19*p - 7. Solve -4*y + 5*s + 12 = 0, -p*s - 15 = 3*y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**4 + 26073*x + 225*x**3 + 2 + 2*x**2 - 232*x**3 - 26074*x in the form n*x**4 + r + q*x**3 + l*x + s*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/4327582 and 40\/77?\nAnswer: 47603402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1908660 is divided by 636189.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4247628?\nAnswer: 2, 3, 7, 11, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 3*t**2 - 3*t - 1. Let n be (15 + -11)\/((-3)\/(3\/2)). Let s(j) = 5*j**3 - 11*j**2 - 12*j - 5. Let h(l) = n*s(l) + 9*w(l). Determine h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - -76 - 54 - (1 - (-5 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhtvvvtttvtvvtntvntt. Give prob of sequence vv.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of t**4\/12 - t. Let u(n) = 45*n**2 + 35*n. Let g(w) = -5*w**2 - 4*w. Let v(o) = -35*g(o) - 4*u(o). What is v(z(b))?\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/3)\/(-4)*-124. Suppose 2*k + 17 = 3*m, 3*m + 5*k + 0 = z. Let n(d) = 19*d - 33. What is the remainder when n(m) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 6*q - 2. Let u be y(1). Solve -2*f + d = f - 8, u*f = 2*d + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = c - 82, -4*c - 54 + 5 = -u. Suppose u = -50*t + 51*t. Let v = 295 - 153. What is the remainder when v is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.268 to two dps.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 30*p. Let q(b) = -51*b. Calculate w(q(r)).\nAnswer: -1530*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 4:59 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 322 divide 7770764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 126 = -a, 2*g + a = -0*a + 267. What is the remainder when g is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31413\/(-3396) + ((-7)\/4 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -148, 15, -53, -1, 5, -4, 3.\nAnswer: -148, -53, -4, -1, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 252 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-2 + 2) - (-12 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*z - 28931*z**3 + 57905*z**3 - 28850*z**3 + z - 3*z**3 - z + (-2*z**3 + 2*z**3 - z**3)*(-3 + 1 + 3).\nAnswer: 120*z**3 - 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7694 divided by 4.\nAnswer: 3847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65742?\nAnswer: 2, 3, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 8252*q - 2 - 1121*q.\nAnswer: -9373*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 is divided by (-6)\/(-8)*((-32)\/(-6))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - -3 - (0 + 0 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5395683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24801.\nAnswer: 3, 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 + -10. Let t = l + 4. Suppose -48 = -5*y - 4*s, -3*y + y + 6 = -5*s. Solve -t = -y*k + 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -199746233 - -199746239.99999948. Let a = d + -7. What is a rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {z: 2, j: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, -74, 41, -6, -7 in descending order.\nAnswer: 41, 0, -3, -6, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/769, -0.1, -3\/4 in descending order.\nAnswer: -1\/769, -0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2086 + 3354. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1450432692 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - f + 1. Determine k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 3*o + 0*o)*(5*o - 4*o + 0*o)*(-4*o**3 + o**3 - 4*o**3).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 - -21. Let q be 130\/g - ((-20)\/6 + 3). Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6948, -1, 1 in decreasing order.\nAnswer: 1, -1, -6948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 0.02, -3, 1\/2 in ascending order.\nAnswer: -4, -3, 0, 0.02, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -11*t + 13*t. Suppose -32*a + t*a = 110. Let c = 67 + a. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*o = -119*o + 32345. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-6039)\/6)\/(34\/(-68)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 369, 2311, 7601, 17913, 34921?\nAnswer: 60299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5993\/2 - -2915. Let d = 83 + g. Is 3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228 is divided by 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-3\/2))\/t)\/(t**(-4)\/t))**(3\/7)\/((t**(1\/3)\/t)**(-15)\/(((t*t*t*t\/((t*t*t*t**(2\/7)*t)\/t*t)*t)\/t)\/t**(4\/5))) assuming t is positive.\nAnswer: t**(-671\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.589 + -0.011. Let s = -27 - -27. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8726325 to the nearest integer?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3190 + -1756. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -540531, -1081064, -1621597, -2162130, -2702663?\nAnswer: -3243196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/10*20\/96*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, w: 5, q: 2}. Give prob of sequence xqxq.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nrnrnynnmrrmrenyr. What is prob of sequence rryn?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**5\/10 + s**4\/6 + 2*s**2 + 65. Let g(w) = w**2 - w. Calculate 2*g(a) + j(a).\nAnswer: -4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**2 - 1. Let y be t(1). Let f = -0.056 - -1.056. Let p = 66\/7 + -233\/21. What is the third smallest value in f, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1299 - -1380.1. Round j to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -6. Let t = 8 + n. Let d = 941 - 895. Calculate the remainder when d is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2817222952.\nAnswer: 2, 983, 358243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/6)\/(12\/(-3)*(-1)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = 3*m - 4245*a + 4250*a, -4*m - 2*a + 58 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + 22\/(-8))*40\/26. Let m = 62\/65 + r. Which is the third smallest value?  (a) m  (b) -3\/10  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000084 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-15)*(-150)\/(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in -1\/2, 1, -4306?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 362, 2\/7, 4, -0.1208 in ascending order.\nAnswer: -0.1208, 2\/7, 4, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 15827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: ((-3 - 1) + 3)\/((-100)\/75)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -434041, -433980, -433845, -433600, -433209, -432636, -431845?\nAnswer: -430800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x - 23*x**3 + 0*x**4 - 2*x**4 - 149*x**3 to the form n*x**2 + q + u*x**3 + v*x + r*x**4 and give u.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of -z**6\/120 - z**5\/20 + z**4\/12 - z**3\/6 + 17*z**2. Let h = -1 + -3. Is 7 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u**2\/15 - 2688*u\/5 - 56546\/15 = 0 for u.\nAnswer: -7, 4039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 253.04 - 258. Let i = 5 + h. Let t = -10.44 + i. What is t rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-14 - 4125\/(-231))\/(1*(-2)\/(-14)) and 168.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 290, 188, 196, 314, 542, 880, 1328?\n\"Answer: 55*b**2 - 267*b + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*p - 2*j + 10, -3*p - 2*j = -17. Suppose 0 = p*b + 3. Let m(z) = -7*z - 1. Determine m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0776 + 4.0776. What is the smallest value in 0, 13, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3579 and 965137?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/9 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 370790 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 58\/6 - 3\/(-9). Let k be -72 + (-5)\/(r\/6). Suppose 5221 = -46*w + 1771. Are w and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 7*p + 3. Let f be n(9). Let c = 1 - f. Let q(j) = -c - j**3 - j + 2*j + 5*j**2 + 11. Determine q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -420.3 and 2?\nAnswer: 422.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -5*o + 3. Let w = 17 + -8. Suppose -3*i + 1 = -c, 3*c - 7*c + w = i. What is s(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56086974.\nAnswer: 2, 3, 19, 163997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254 = 27*l - 786 - 62 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3192, 2801, 2156, 1263, 128, -1243, -2844, -4669?\n\"Answer: j**3 - 133*j**2 + j + 3323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 624081.9 seconds?\nAnswer: 624081900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.03 + -0.09. Let l = -65 + 65. Which is the closest to -2\/7?  (a) z  (b) l  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(270) - 2*sqrt(270))*4 - 4*sqrt(270)*-1)\/(sqrt(1210) - (6*sqrt(1210)*-5 + sqrt(1210) - sqrt(1210))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 527428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1536886 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-9))\/(-5*(-1)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/12 + 76\/6. Let y = -19007 + 19139. What is the highest common factor of s and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3*i**3 - 3*i**2 - 12*i + 8. Let f be t(14). Is (2\/4)\/((-10)\/f) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 548 and 8.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -60709, -121609, -182511, -243415, -304321, -365229?\n\"Answer: -f**2 - 60897*f + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 17*m**2 + 33*m - 305. Determine k(0).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 18*l**2 + 23*l - 277. What is g(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-2*1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/((q\/((q\/(q\/(q*q**2)*q*q))\/q*q))\/q))**22*q**(-5\/6)\/q*q*q*q\/q**8)\/((q\/q**13)\/q**1)**(-12\/7) assuming q is positive.\nAnswer: q**(1549\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*j + 4*z, 5*j + 8*z - 3*z + 40 = 0. Let h(g) = -11*g. Let f(o) be the third derivative of -5*o**4\/24 + o**2 - 164. Calculate j*f(u) + 2*h(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + y - 4 - 3 = 0, -5 = 5*m - 3*y. Suppose -31*s - 54 = -34*s. What is the lowest common multiple of ((-40)\/6)\/(m\/(-3)) and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y + 21*y + 64 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.2 - -0.2. Let p be (4\/(-8))\/((-9)\/(-6)). Which is the nearest to p?  (a) v  (b) -4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -d57?\nAnswer: -d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*n*o*z**4 - 3*n*z**4 - 49*n*z**2 + 164*o*z**4 + 11*o + 2*z**2 wrt z?\nAnswer: -168*n*o*z - 72*n*z + 3936*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.33332 litres to millilitres.\nAnswer: 3333.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 59*g**2\/2 + 62*g - 48. Let k(l) = -591*l - 621. Let w(u) = -21*f(u) - 2*k(u). Differentiate w(c) wrt c.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 - -1511?\nAnswer: 1510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:48 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(-6) + 24790\/(-5628)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + z**2. Let x(d) = 106*d**3 + 8*d**2. Calculate 8*u(n) - x(n).\nAnswer: -114*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 10 = j. Let m(i) = -i**3 + 11*i**2 - 20. Suppose 3*s + 5 = 2*z, -z - 7 = -5*s + 8. Let q be m(z). Calculate the highest common divisor of q and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -238 divided by -17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 6\/11, -27170, 0, 0.4 in decreasing order.\nAnswer: 2\/3, 6\/11, 0.4, 0, -27170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85473*y**2 + 3 - 3 - 85469*y**2 + 0.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + 28199232290238.\nAnswer: 28199232290240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1356109 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22102, -22104, -22106, -22108, -22110, -22112?\nAnswer: -22114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-2)*(-1485 + -81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v = 23*v + 4, 6 = -t - 5*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2479 (base 13) to base 16\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1011898031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 9.5459 and 2\/9709 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -160838 + -15?\nAnswer: -160852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 1086*p**2 + 177206*p - 5341. Determine v(886).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 8) to base 7.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1133  (b) 22.984  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 405029 is divided by 7102.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(260)*-2 - sqrt(260))\/sqrt(10))\/sqrt(3200)*3.\nAnswer: 27*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 5*d - f = -4132, d + 5*f = 2084. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 255\/(-663)*(-6)\/10.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-3 + (-7)\/(378\/(-163))) + -1. What is the closest to 2\/7 in 12, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*v + 15 = 0, 18 = 4*x + x - 4*v. Let j be 5 + (-4 - x) + 5. Solve -2*l - p = -j - 3, 5*l + 5*p = 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60439943?\nAnswer: 60439943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 537 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 + 8 + 37*o**3)*((4 - 2 - 1)*(-19 + 12 + 9) + 0 + 1 + 0) to x + i*o**3 + y*o + l*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vmoomoooomvm. Give prob of picking 2 o and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4215*y - 4235*y = -360 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -11 - (-3 - (2 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e05 + d94e?\nAnswer: e854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -696 - -844. Which is greater: x or 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*h, k = 5*k - h - 21. Let z = 6 - k. Suppose -t = z - 11. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v, 1 f, and 1 b when four letters picked without replacement from vvvvvvbvfvbvvf.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 10:05 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.9?  (a) -0.5  (b) 0  (c) 7  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2840*s = 4*z + 2833*s - 110, 0 = z + 5*s + 67 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30910*b*l**6 - b*l**3 - 4*b*l - 588*b - 4*l**2 wrt l.\nAnswer: 3709200*b*l**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**3 + 16*x**2 - 3*x - 14. Give t(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*a**3 - 30*a**2 - 15*a + 50 = 0. What is a?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 503, 1104, 2107, 3512, 5319, 7528, 10139?\n\"Answer: 201*t**2 - 2*t + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**5 + 3684627*t**4 - 1131378537690*t**3 + 3394113505338*t**2 - 3394106136099*t + 1131367483827 = 0. Calculate t.\nAnswer: 1, 614103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111101 + 10010010111?\nAnswer: 1111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of 23*w**4\/4 + w**2 + 1841. Let t(d) = -93*d**3 - 9*d + 1. Determine -9*k(q) - 2*t(q).\nAnswer: -21*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -226 and 1.899.\nAnswer: -429.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + u + 61. Let q(s) = 2*s**3 + 6*s**2 - 2*s - 6. Let g(j) = j**3 - j. Let r(i) = 3*g(i) - q(i). Let f be r(6). Is 20 a factor of c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 - (-15 + 36 + 25 - 12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = -2*f - 73, 3*f = 3*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, -33, 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/10*2 - ((-27738)\/335 - -64).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/(-60)*(14\/(-12))\/(77\/(-99))*-2\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-17)\/(-4)*(-8)\/36 and 2 + (235\/(-18))\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**7\/525 + h**6\/300 + h**5\/75 + 5*h**2. Factor d(k).\nAnswer: -2*k**2*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 233704*z - 1168526. Determine t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*w**4 + 25*w**3 + 31*w + 31 wrt w?\nAnswer: -132*w**2 + 150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 228 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -458 + 496 + -74 + -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112 + 111)*(1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17\/6 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22837 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.22 <= -0.0053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l + 5. Let w = -13 + 18. Calculate the remainder when w is divided by m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 1. Let l(k) = 4*k - k**j - 4*k. Let x(h) = -478*h**2 - 84*h**2 + 572*h**2. Determine x(l(y)).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4272 and 1069424.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 223\/5460 + -1\/195. Is u smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2315 is divided by 762.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 20*l + 31. What is the units digit of w(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 250\/475*(-72504)\/(-795).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of 0*m**2 + 2*m**4 + 0*m + 70 + m**6 - 73\/3*m**3 + 0*m**5. Find the third derivative of g(h) wrt h.\nAnswer: 360*h**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2)**(2\/7))**19*(k**(3\/7)*k\/k**(2\/23))**(1\/27) assuming k is positive.\nAnswer: k**(1756\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3211461 and -0.1.\nAnswer: 321146.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/5, 23, 0.8, 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**3 - 3*g**3 + 3*g**3)*(-2*g - 2*g + 0*g) - 2*g**4 - g**2 + 0*g**4 - 2*g**3 + g**4.\nAnswer: -9*g**4 - 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 - 242 = -3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -10. Let b = -12 + f. List the prime factors of 4\/(b\/((-9)\/3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/141538760 and -89\/77202960.\nAnswer: 849232560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 20. Suppose r + r = -3*h + y, -3 = -r - 4*h. Let j(s) = r - 1 - 4 - s**2 + 0 - 4*s. Calculate j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 10*t + 1. What is b(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 5 = -2*j, 862*j - 866*j + a + 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -21233657.\nAnswer: -42467314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86596 - 86536. Let q(o) = 11*o - 5. Let u be q(5). Calculate the least common multiple of m and u\/8 - 2\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.8*1395.\nAnswer: -5301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-20)*-3)\/(310\/(-1240)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 2207868?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5\/26 + 4\/13. Let f be (-12)\/((20\/4)\/(-5)). Suppose 2*o - f = -2*o. Which is the closest to m?  (a) -3\/2  (b) o  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + 1)*-4 + sqrt(1300) + -1 - 5*sqrt(117)\/(sqrt(27)\/sqrt(3)) - ((-3 + sqrt(325))*4 + -3*(sqrt(325) + -2*sqrt(325)) + sqrt(325))**2.\nAnswer: -20949 + 961*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*r + 6 = -335*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 7:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 - 21. Let w(x) = 5*x**2 - x. What is w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1098703?\nAnswer: 449, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + i - 8. Let t = i + 65. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 167*b**2 + 316*b - 2304. Give u(-165).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aoqaaooqooaa. What is prob of picking 3 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -16*s + 19*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20879092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232088 - 4*z - 232088.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4669\/(-406) + (-69)\/6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24549 is divided by 6129?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(4) - sqrt(36))\/sqrt(12) - (-2 + (1 + sqrt(147))**2).\nAnswer: -146 - 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 11*z + 6. Let k(m) = m**2 - 12*m + 5. Let x(v) = 3*k(v) - 4*o(v). Let s be x(5). Let h be (-1)\/(s\/(-4)) - (-4)\/(-6). Solve h*i + i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37501461.\nAnswer: 3, 37, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 3:05 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -76, 45554, 4, 5 in descending order.\nAnswer: 45554, 5, 4, 3, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 79851765\nAnswer: 1\/79851765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 3 - 2)*(3*d - 3*d - 2*d) + d - 4*d + 0*d)*(-d + 2*d - 3*d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -294 - -483. Suppose -3*c + 3*b = -0*b - s, -2*c = 3*b - 106. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 6*f - 9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**5 + 0*w**5 + 4*w**5 + (-w**4 - w**4 + w**4)*(315*w - 160*w - 14*w).\nAnswer: -140*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4*o - 5 + 3*o)*(-95 - 87 + 67) in the form v + d*o and give v.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -205556, -205563, -205562, -205553, -205536, -205511?\n\"Answer: 4*l**2 - 19*l - 205541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h + 3*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5, -5 in descending order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, q: 2, p: 3}. What is prob of sequence ppq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 2*g - 2, -4*g = -4*q - 0*q + 20. Let y = 27 - 24. Factor u**2 - 3*u**q - u**2 + y*u.\nAnswer: -3*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f**2 - 11*f. Let d(i) be the first derivative of i**4\/6 + 2*i**3\/3 + i - 3. Let p(b) be the first derivative of d(b). What is -4*j(l) - 11*p(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 274173094 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.17*8312\nAnswer: 1413.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**5\/60 + q**4\/3 + 5*q**3\/6 + 22*q**2. Suppose -3*s - r - 31 = -6, 4*r + 36 = -4*s. Give v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, g: 1}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 53417 * -4.\nAnswer: -213668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 30. Let x be 14 - k\/1*1. Is x <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d**3 + 2*d**2 - 2*d + 1. Let k be v(1). Suppose 41*u - 48*u + 35 = 0. Calculate the greatest common divisor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -8, 6\/17, -26, -9?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -8796 and -8798 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 30798.\nAnswer: 153990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 0.3  (c) 652  (d) -4\/3  (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1579985 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -81dc7 (base 15) to base 8\nAnswer: -1443537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*j + 8*j. Let z be (-20)\/j*3\/30. Sort -4, -0.03, z in descending order.\nAnswer: z, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/20 and 69\/1504?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**3 + 23*a**2 + 29*a - 11. Let y(o) = o**3 + 12*o**2 + 15*o - 6. Let x(u) = -6*w(u) + 11*y(u). Solve x(k) = 0 for k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -59196*v - 414376. Calculate n(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 359476 divided by -5798.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*2\/((-4)\/15). Let b = z + 7. Is -8 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 2)*(-20*c + 1 - 1)*(54*c**2 - 99*c**2 + c + 43*c**2 + 6*c) in the form v*c**2 + k*c + a*c**3 + s and give v.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 4*l - 4. Let s be y(-4). List the prime factors of s\/24 - (-2195)\/30.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 34*m**3 + 6*m**2 - 11*m + 8. Is 43 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of -5*o**4\/24 - 3*o**2. Let d(l) be the second derivative of 5*l**4\/12 - 35*l - 2. Calculate z(d(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 294626\nAnswer: 1\/147313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 11\/33*(5\/(-1) + 2). Let p = -51 + 104. Let f = h - p. Is f bigger than -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 + -26 - -11 - -20 and 148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 66*z**2 + 11*z - 8. Let h(v) = 66*v**2 + 9*v - 7. Give -5*c(j) + 6*h(j).\nAnswer: 66*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 490049 divided by -25\nAnswer: -490049\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 + 23. Suppose 2*s - 12 = -2*b, b = a*s - 35 + 1. Suppose v - s = -3*v. Solve v = -2*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s - 5. Let y be g(-7). Suppose -4*l - 5 = -y*z + 1, -3*l = 5*z - 2. Is 13 a factor of (-560)\/(-15) - l\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-3) - -1*7. Suppose l*n + 1 = 11. Suppose 4*q - 4 + 1 = 5*m, n = 2*m. Solve -5*d = -q*d + 3*p - 21, 3*d + 5*p = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254354 is divided by 31794.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41 + 38. Let l = -720 - -718. What is the biggest value in 0.4, l, v, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49045 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*t**2*w**4 - 3*t**2*w - 10491*t*w**5 - 236*t - 9*w wrt w.\nAnswer: -96*t**2*w**2 - 209820*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2882 less than 0.3?\nAnswer: 0.5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 - 1776*h - 394272.\nAnswer: -2*(h + 444)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(105) - sqrt(105))\/sqrt(7))\/(sqrt(320)*-2).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.518, 13, -4\/3 in decreasing order.\nAnswer: 13, 6.518, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-5\/9))**(-33)\/((i\/(i*i*i*(i**(2\/23)\/i)\/i*i*i*i))\/(i\/(i**(-4)*i*i*i))) assuming i is positive.\nAnswer: i**(-661\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 384\/11378075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 595*o. Let f(m) = 2*m. Determine w(f(j)).\nAnswer: 1190*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 467111377 to the nearest 1000000.\nAnswer: 467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010011011 (base 2) to base 9.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -32, -96, -162, -230?\n\"Answer: -a**2 - 61*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48311314?\nAnswer: 2, 17, 1420921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289648 is divided by 4255?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 977307 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - j**2 - 2*j - 2. Let a be l(-2). Let t = -23\/2 - a. Suppose 0 = 3*h - 7*h + 4. What is the third smallest value in h, t, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/4367025 and 46\/2426125.\nAnswer: 21835125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/3 + (-6 - -4). Which is the fourth smallest value?  (a) -2\/7  (b) h  (c) 2\/9  (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g + 44. Let y be s(0). Suppose 2*k = 4*k + y. Find the common denominator of k and 4 - ((-36)\/20)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15\/52 - -6\/13. Let v(a) be the first derivative of h*a**4 + 0*a**3 + 2 + 0*a**2 + 0*a - 3\/10*a**5. Solve v(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01974262742 rounded to 5 dps?\nAnswer: -0.01974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 3*s + 72, 0*s + 2*s = 4. Let y = u + -19. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3*q**2 - 18*q - 18. Let x(r) = 3*r - 4. Let j(s) = 2*s - 3. Let d(a) = -7*j(a) + 5*x(a). What is -18*d(h) - v(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 10*i**2 + 8*i - 3. What is the remainder when 189 is divided by r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 245807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 45736515 and 45736515 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 6*d + 6. Let f be n(4). Suppose -4*g = -6*g - 6. Is g != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 9*y**2 - y + 1. Let z(g) = 35*g**2 - 4*g + 4. Let p(m) = 4*q(m) - z(m). Let x(n) = -2526*n**2. Determine x(p(s)).\nAnswer: -2526*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(36\/(-4))*-3*27\/(-675)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-3*sqrt(76)*1)**2 - (-1*sqrt(76)*-6 + 3))*-1.\nAnswer: -677 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 157765 and 90?\nAnswer: 2839770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hixxxsjx. Give prob of sequence hs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.17, -5\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, w: 1, q: 1, b: 1, x: 1, d: 1}. What is prob of sequence xw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from clsacfp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*o**2 - 5*o - 72.\nAnswer: (o - 18)*(o + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-18))\/(7\/((-504)\/(-60))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 595554?\nAnswer: 2, 3, 99259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 12 = 4*a, 2*a + w + w = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from {b: 6, l: 8, w: 3}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(0 - -4)\/4. Let k be 106 - (12\/w - -3). Suppose s - k = -5*u, -5*u + 45 = -5*s - 50. What is the remainder when 61 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -t + 8, 2*t + 0*t = -2*k + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (1 + 1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3 - 6 + 3*s - 2*s - 2*s**2 + 4. Let q be 3 + (-145)\/45 - 136\/36. Let i(f) = -f**2 + f + 1. Let a = 10 - 6. What is a*i(h) + q*d(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g. Suppose -391 = -22*q - 17. Let l(f) = 22*f - 47*f**2 + q*f - 39*f. What is l(s(z))?\nAnswer: -423*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 4*v - 94. What is d(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -11116, -22164, -33210, -44254, -55296?\n\"Answer: p**2 - 11051*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence caja when four letters picked without replacement from {j: 1, b: 1, c: 1, a: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 282105 + -282145.9817. Let h = -41 - u. Round h to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 4, 3*h + 18 = 2*c - 4. Calculate the least common multiple of c and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18671 and -7.2564?\nAnswer: 135484.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 14, u: 1, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 - 31*b - 231. What is c(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -13*c**2\/2 - 1309. Let w(k) = 2*k - 10. Calculate w(i(v)).\nAnswer: -26*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -c09a (base 13) to base 2\nAnswer: -110011101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + (-3)\/2)*((-160)\/30 + 14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1548, 2241, 3388, 4989, 7044?\nAnswer: 9553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b**3 - b**2 - 18*b - 16. Let n be u(-1). Let m = -0.8 - -0.3. What is the nearest to 3\/10 in n, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -m**4\/66 - 4*m**3\/11 - 36*m**2\/11 + 2*m. Factor y(v).\nAnswer: -2*(v + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 15 = -0*y. Let q = 3 - -22. Suppose n + 2*u = -u + 5, 3*u = -5*n + q. Solve -w - 6*b - 20 = -b, y*w + n*b + 30 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - y - 16. Let j be r(0). Let z be 120\/j*(-48)\/(-5). Let s = 174 + z. What is s rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - -1*(-14 - -1). Let n(k) = 145*k - k**2 - 46*k - 13 - 35*k - 42*k - 37*k. Let v be n(f). Which is smaller: 12 or v?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 + 7*u**3 + u**3 + 0*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 141*s**4 - s**3 + s**2 + 120. Let b(y) = -2*y**4 - y**3 + y**2. Let t(u) = -b(u) + w(u). What is the first derivative of t(m) wrt m?\nAnswer: 572*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 164 and 226115?\nAnswer: 904460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4*j**3 + j + 3. Suppose 0 = l - 4*z - 10, 3*z + 7 = -2*l + 3*l. Let h be n(l). Solve 5*q - h = 4*k, 5*k = -4*q - 2 + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*16.8.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -5. Let f(u) = -5*u**2 + 5*u + 5. Let m(r) = -3*r**2 + 2*r + 2. Let s(b) = 3*f(b) - 7*m(b). Let k be s(n). Solve 2*a = 4*a - k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 3*c**2 - 4*c - 3. Let o(p) = p**3 + 7*p**2 - 8*p - 2. Let w be o(-8). Let l be g(w). Does 4 divide ((-6)\/l)\/(9\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2033004022 (base 5) to base 2\nAnswer: -1111111110011101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 627 - 633. Let h be (-4 + 2)*(81\/x - -4). Solve h = 5*r - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 106*i**2 + 5*i + 2. What are the prime factors of r(4)?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 699814962 and 14553?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 - 860*v**2 - 53312*v - 729904.\nAnswer: -4*(v + 19)*(v + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 975, 974, 973, 972, 971, 970?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1539) + sqrt(1539)*1)*-2.\nAnswer: -36*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 860788.\nAnswer: -3443152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 + 8484*k - 8487.\nAnswer: 3*(k - 1)*(k + 2829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26, 109, 228, 377, 550, 741, 944?\n\"Answer: -k**3 + 24*k**2 + 18*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6644 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - 14*o**2 + 5*o + 106. Let h be m(-14). What is the greatest common divisor of 117 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-8))\/(97*14\/(-21728)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13772959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s + 11. Calculate u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66 and 236038?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 4*c**3\/3 + 2*c**2\/5 - 25. Determine n, given that x(n) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 19*z - 28. Let y be k(7). Factor -49*g**2 + 2160*g - y*g**2 - 9255 + 5*g**3 - 26*g**2 + 615.\nAnswer: 5*(g - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**3 - 2*k**2 + 0*k**3 + 0*k**3 + (2*k**2 - 2*k**2 - 2*k**2)*(100*k - 175*k + 96*k) as p*k + n + a*k**3 + b*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*m + 4*m**2 + 13 + 2*m + 33*m + 155 + 21*m = 0.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l + 0 - 1\/2*l**3 - 3\/2*l**2.\nAnswer: -l*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4893449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 - 0) + (3 - 3) + 15 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -2)\/(-2)*-1. Suppose h*m - 2*m = -6. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 22519544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6210972101630*i - 1 + 1 + 6210972101628*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 = 3*a + 3*n, -3*a - 92 = -2*a + 3*n. Let h be (-744)\/22 - 6\/33. Let y = h - a. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4022, 16094, 36214, 64382, 100598, 144862?\nAnswer: 197174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.1 - 6.1. What is the third biggest value in q, 3, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 20\/7  (b) -3  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 1\/3, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(525) + -1*sqrt(525)))\/(sqrt(448)*-1*-4)*4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/7259 and 117\/7688318.\nAnswer: 53818226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -279 (base 11) in base 12?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k**3 + 4*k**2 - 2297*k + 24571. What is p(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -13)\/(-120) - 15402\/(-20). Let i be 12*5\/s*-7. Put i, -0.0447, -0.1 in increasing order.\nAnswer: i, -0.1, -0.0447","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10752, -85999, -290230, -687939, -1343620, -2321767?\nAnswer: -3686874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3398244 divided by -20721?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 41, 94, 167?\n\"Answer: 10*s**2 + 3*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (132\/(-110))\/((-6)\/70). Suppose 4725 = c*f + 13*f. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 7*a. Let h(n) = 2*n**2 + 4*n. Let w(j) = -2*j**2 - 6*j. Let d(g) = -6*h(g) - 4*w(g). What is i(d(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 254515000?\nAnswer: 254514555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1109 divided by -6?\nAnswer: 1109\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 47015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 69 and 33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/22215082 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*b - 493 + 493 in the form m + r*b and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -990, -985, -980, -975, -970, -965?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d**3 + d + 2*d - 3*d.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1936 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -m**5\/110 - 13*m**4\/22 - 25*m**3\/11 - 37*m**2\/11 + 1977*m. Determine l so that f(l) = 0.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*d**3*v**2 - 1406*d**3*v + 2*d**3 + 2*d**2*v**2 - 5962*d**2 + v wrt d.\nAnswer: -24*v**2 - 8436*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30070463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k**2 + 3*k. Let h be t(2). Let y = -9 - h. Let w(z) = -z + 4. Let f be w(0). Solve -f*m = -y - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, p: 2, i: 3, h: 2, o: 6, m: 1}. What is prob of sequence phm?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1817051889 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3466.75 + 3467. Is 36\/7 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -348 + 13223\/38. Let r = 106787\/266955 + -1\/53391. Do r and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0490098588 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -7654, 5, -44529 in ascending order.\nAnswer: -44529, -7654, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(114)\/(sqrt(24)\/sqrt(4)))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 70 - 143. Let t = s - -75. Suppose 0 = y + a - 7, 4*a - 31 = -t*y - 3*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + 1) - -4*(0 + sqrt(11))) + 0 + sqrt(275) + 5)**2.\nAnswer: 72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38182902 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -w - 9, 0 = 8*w - 6*w - 6. Which is smaller: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 + -18. Solve 2 = 2*y - d*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000158037708 rounded to 6 dps?\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-4 + sqrt(880)\/sqrt(5))*-1.\nAnswer: -4*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14388549 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of v**4\/3 + 10*v**3\/3 + 12*v**2 - v. Factor b(a).\nAnswer: 4*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 125 - 125 + 20*y + (-2 - 5 + 5)*(7*y + 41*y + 17*y) to k + p*y and give p.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6932, -6726, -6390, -5924, -5328, -4602?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2545 + -2549.0048. Let c = y + 4. What is c rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 502*o - 523*o + 4284 = 0. What is the highest common factor of 544 and o?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*3*(sqrt(567) - (sqrt(567) + (sqrt(567) - (sqrt(567) + 0 + sqrt(567) + 0 - sqrt(567) - sqrt(567))))**2 - sqrt(567))*2.\nAnswer: 13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.13, -0.045, -5\/6?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -6*c + 644. Does 7 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/5, -0.1, 3\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 3:48 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 71*l + 14. Let t(m) = -24*m - 5. Determine -11*t(o) - 4*v(o).\nAnswer: -20*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1937)\/(-4) + (-9)\/(-12). Let q = m + -316. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 5*c - 7 = -11*p, 0 = 5*p + 5*c + 15. Let y be (0 - 28\/(-21)) + p. Which is smaller: y or -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13078?\nAnswer: 2, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 3)*(6*o**4 - 3*o**4 + 6*o**4).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1878*p**3 + 182*p**2 wrt p.\nAnswer: 11268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82 + -86 + 1 + 37 + -38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 0, 5*h - 81 = 4*c + 79. Suppose -13*v + 15*v - h = 0. Is v != 59\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12\/(-6)*10\/(-4). Suppose 308 - 1313 = -b*l. Suppose -l = o - 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (75\/12)\/((741\/76)\/(-13)).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1025644.\nAnswer: 2, 17, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -11000 (base 2) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + sqrt(125) + 3 + 2 + sqrt(125) + sqrt(125) + (sqrt(50)\/(sqrt(10)*-4) + 3)*-1)**2.\nAnswer: 122*sqrt(5) + 18861\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47.7 + -48. Let s = -0.2 + -0.8. Let v = 3 + s. Which is the second biggest value?  (a) -0.5  (b) h  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/12*o**2 + 103\/6*o - 10609\/12.\nAnswer: -(o - 103)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffqqg. What is prob of picking 1 g and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 58, 0.03, -61, -4\/7 in descending order.\nAnswer: 58, 0.03, -4\/7, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**2 - u - 1. Calculate the least common multiple of 21 and n(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 998505 and 15.\nAnswer: 998505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(-3 - (2 - 5)). Let s(p) = p**2 - p + 5. What is the remainder when s(a) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*t - 15052 - 26488 = -285*t for t.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l - 51. Give p(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4292\/15 + -286. Let r(x) = -x**3 + 5*x**2 - 2*x - 1. Let p be r(4). Let h be p\/30 - 4\/10. What is the third smallest value in -0.1, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - 0) + 0 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -134 - 2*b**2 + 67 + 67.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 266*u + 44 = 258*u, 40 = -5*g - 5*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - -5. Let k = s - 2. Let m = k + -3. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 692\/29601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 10*p**2 + 17*p - 6. Let l be 5\/20 + ((-93)\/12)\/(-1). Let w be k(l). Sort -2, -3, w, 1 in descending order.\nAnswer: w, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -1, 0, 11, -14.\nAnswer: -14, -1, 0, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -52*v + 76*v**2 + 13*v**2 - 20 + 62*v + 32. Suppose -3*o = -3*f + 11 + 7, -3*o + 5*f - 16 = 0. Is i(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5240.4 and -1438977114?\nAnswer: 1438982354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64507591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -40964, -81918, -122874, -163832, -204792, -245754, -286718?\nAnswer: -327684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9039 and 246804.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of -3*q**4\/28 - 12*q**3\/7 - 26. Factor i(k).\nAnswer: -3*k**2*(k + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 12. Let i = 231 - 2539\/11. What is the smallest value in i, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((4\/(-4))\/4*96\/(-88))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -28, -65, -128, -223, -356, -533, -760?\n\"Answer: -q**3 - 4*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 6*g**3 - 148*g**2 + 1361*g - 44. Let l(p) = -p**3 + 23*p**2 - 227*p + 7. Calculate 2*j(c) + 13*l(c).\nAnswer: -c**3 + 3*c**2 - 229*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6641*b - b**2 - 117 - 15*b**2 + 118 + 16389*b.\nAnswer: -16*b**2 + 9748*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/98)\/((-4)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 4*d - 103, -5*d + 0*d + 3*c = -101. Let p(r) = -5*r - 2 + d*r + 2. Let m(j) = -j. Give p(m(y)).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 94 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) -12  (c) 0.16867\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 - 25 = -4*d. Suppose 0 = -d*z + 1200 + 160. What is the highest common factor of 68 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106679923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3084*g - 11. Let o(x) = 3063*x + 13. Determine 5*o(q) + 6*s(q).\nAnswer: -3189*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 11. Let n be b(-9). Suppose f - 1 = 3*v, 4*f + 7*v - 55 = n*v. Let k = f + -6. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 681250931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20578 - 10a?\nAnswer: -20687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i + 2. Let x(g) = g**3 - 3*g**2 - 2*g + 13. Let a be x(3). Let p(h) = -7 + 18 - a - 3*h. Calculate -5*n(t) + 3*p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12338987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1149692, 1149694, 1149696, 1149698, 1149700, 1149702?\nAnswer: 1149704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 + 7*c - 6.\nAnswer: -(c - 2)*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**2 - 96644*u - 3387440 = 0 for u.\nAnswer: -35, 24196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 540608 - 270228. Suppose o = 4*t - 229620. Round t to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000972915606 rounded to 6 decimal places?\nAnswer: -0.000973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 27029.26mg in tonnes?\nAnswer: 0.00002702926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28384.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -22110001111?\nAnswer: 22110001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.7 - -1.3. Let w = -6.6 + i. Let a = w - -1. What is the biggest value in 0, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x - 19. Let i be o(-7). Let l(k) = 7 - 3*k**2 - 5*k + 4*k**2 - 1 - 2*k**i. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of 71*n**6\/60 - 13*n**5\/3 + 47*n**4\/12 + 4*n**3 - 43*n**2 - 24*n + 2. Factor m(b).\nAnswer: 2*(b - 1)**2*(71*b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-45) - 74453\/126. Let a = w - -1171\/2. Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20652955507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 267487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 - 18*x**2 + 4*x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12313176, -12313178, -12313180?\n\"Answer: -2*s - 12313174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1094*d + 7647. Determine r(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 905049 and 7718?\nAnswer: 30771666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 550*k - 56. Let j(m) = 274*m - 26. Calculate 9*j(n) - 4*v(n).\nAnswer: 266*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i - 5656 + 11314 - 5658.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.049402916 plus 0.2?\nAnswer: 3.249402916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.174 less than 0.6?\nAnswer: 0.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -7) + 1 + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 + 4455*m.\nAnswer: 4455*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-74)\/222)\/(48\/108)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -711 divided by 236.\nAnswer: -711\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 23*d - 9*d**2 + 2*d**2 + 2*d**2 - 74 + 4*d**2 + 7. Let k be m(19). Solve 5*j - k = -q + 19, 0 = 5*q - j - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28*b**2 - 27*b**2 - 121*b**2 - 6*b**3 - 3*b**4 wrt b.\nAnswer: -72*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141078877 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 2\/9  (c) -2  (d) 4  (e) 2\/4091\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6870857030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2641.25 litres?\nAnswer: 2641250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 18 = 5*z, 18 = 19*o - 22*o - 3*z for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9454348213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i - 5. Let w be r(4). Let q be (26 - 23) + (0 - 5). Sort w, 0, q.\nAnswer: q, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**3 - 28*u**2 + 41*u - 2246. Determine i(-18).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 9:22 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1090*l + 3763. Is m(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 1\/5  (b) 5  (c) 1\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1*sqrt(400) - sqrt(400))*4*1)\/((6*-2*sqrt(72))\/((sqrt(81)*-2)\/sqrt(9))).\nAnswer: 100*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 1 + (7 - (5 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3203011 + -131323?\nAnswer: 3011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 - 1)*(-5*l + 4*l + 3*l) + 4*l + 2*l - 5*l + (3 - 3 - 2)*(2*l - 2*l + 2*l) - 123*l - 458 + 458 to i + u*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 + 162*a + 6561.\nAnswer: -3*(a - 81)*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -329 - -332. What is the second smallest value in h, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15693939 and 9102.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -767910, -1535860, -2303812, -3071766, -3839722, -4607680, -5375640?\nAnswer: -6143602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/3)\/h)\/(h\/h**10))**(2\/17)*h\/h**(-3)*h**(5\/3)*h*h*(h*h**(2\/23))\/(h**1*h*h) assuming h is positive.\nAnswer: h**(2587\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**2 + 2. Suppose -f + 5 = 2*u, -4*f + 2 = -0*u - u. Let b(d) = d. Let c be b(3). Let r(k) = c - 5 + f. Give -h(q) - 2*r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/2 - (-3246)\/12. Let s = -578635\/6 + 96706. Let k = v - s. Find the common denominator of 77\/8 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39 and 56\/2487.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(99)*-2 - sqrt(99) - sqrt(99))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/3*198\/(-55). Suppose 21 = 4*r - g, b*g + 4 = -4*r + 2*g. Suppose -5*m + 4*n + 129 = 0, 0 = 5*m - 10*m - r*n + 121. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*t**2 - 19*t**2 + 6*t**2)*(22 + 34 - 48)*(0 + 1 + 0).\nAnswer: -280*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.47 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 j when four letters picked without replacement from {t: 12, j: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10382 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -425*f. Let r(t) be the third derivative of t**5\/30 - 42*t**2 + 2. Give r(m(s)).\nAnswer: 361250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160 - 2*r - 34 + 141 + 33 + 20 + r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2213233 (base 12) in base 3?\nAnswer: -110020000200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 29*b - 96. Let s(f) = -15*f + 33. Give s(b).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44872577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -21144432 (base 5) in base 8?\nAnswer: -533705","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.13 - 0.07. Let s be 2\/(-6) - (-39)\/9. Let u be (s\/12)\/(0 + -1). Which is the smallest value?  (a) -4  (b) u  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -171*o**2 - 19*o - 756. Let d(x) = 19*x**2 + 2*x + 81. Determine 38*d(m) + 4*l(m).\nAnswer: 38*m**2 + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r - 2*r**2 + r**2 - 7*r**4 + 490*r**3 - 5*r + 35*r**4 - 493*r**3 in the form l*r**3 + o + w*r + s*r**2 + g*r**4 and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 1)\/((-10)\/(-15)). Let r = 26 - 26.2. Which is the third smallest value?  (a) r  (b) -5\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 583 = 27*d + 151 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (2 + 8)) + 206\/515*32?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, d: 12, n: 1}. Give prob of picking 1 d, 1 n, and 2 h.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 101 and 14948?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4755576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1267 - -50.8267. Let q = z + -51. Let n = -1.91 - 0.09. What is the third biggest value in -1\/4, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 26, 1, 2, 5, -2.14, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/12  (b) -8  (c) -18  (d) -1588  (e) -0.6  (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.6, -6 in decreasing order.\nAnswer: 0.6, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 251131 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*j + 91*j + m - 2692 = 0, -5*m - 2704 = -3*j. What is the lowest common multiple of 10 and j?\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c**2 + c**2 + 9537 + c**3 - 9492 - c to j*c + x*c**3 + r + f*c**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/3 - 26*h\/3 - 20.\nAnswer: 2*(h - 15)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 0*k - 5*k - 2 + (-k - 2 + 2)*(-2 + 5 - 2) in the form q + y*k and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -42608, -170371, -383310, -681425, -1064716, -1533183, -2086826?\n\"Answer: -42588*c**2 + c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3111 + 3115. Sort 5, f, 1314 in decreasing order.\nAnswer: 1314, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/9*w**2 - 20*w + 184\/9 = 0. What is w?\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-126)\/1260*20\/6*19\/(874\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 187990 to the nearest 1000.\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -225500 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 16*g - 26*g = -7*g - 44, 128 = -12*m - 4*g for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6609 and 510?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1745730, 8, 2\/89 in decreasing order.\nAnswer: 8, 2\/89, -1745730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 9*f - 2*f. Suppose 0 = f*y - 15*y + 108. Calculate the highest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1862, -1872, -1888, -1910?\n\"Answer: -3*m**2 - m - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1088127 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 = 2*i - 59. Let b = -504\/5 + i. Let k be 2 + (72\/(-14))\/3. What is the nearest to k in b, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/(d*d**(-2\/5)\/d)*d)\/d*d)\/d)\/(d**(-8)*d))\/((d*d\/(d\/(d\/d**(-1\/3)*d)))\/d**(-1)) assuming d is positive.\nAnswer: d**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33 + -59. Let p = w + 37. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-150)\/250)\/((-1)\/1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**5\/30 - 89*t**4\/24 - 71*t**3\/3 - t**2 + 61. Find the first derivative of j(f) wrt f.\nAnswer: 4*f - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 420*z + 29. List the prime factors of g(10).\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2079\/5  (c) -1\/6  (d) 1\/4  (e) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 81 = -59. Let y = h + -21. What is the closest to -3\/4 in 5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.35 - -4.95. Let s = r - 5. Let w(o) = -o + 7. Let a be w(4). Sort s, a, -5 in increasing order.\nAnswer: -5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41409 and 432.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -1, -2.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in 0.4, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14, -63, -144, -257, -402?\n\"Answer: -16*q**2 - q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -663 + 5941\/9. Calculate the common denominator of p and 28\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0.5, -0.3, 9, 7.03 in descending order.\nAnswer: 9, 7.03, 0.5, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - 20*u**2 - 24*u + 106. What is the units digit of j(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2303 (base 5) in base 2?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 343.4455723 - 4885.\nAnswer: -4541.5544277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 819 = 62*b - 6*b + 35*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3274.68 + 3273.68. Let p be 0 - (-2 - 0) - -6. Let h = -4 + p. What is the fourth biggest value in -2, y, 1\/3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 14*j**2 - j - 5. Let f(z) = -5*z**2 + 2. Let n(r) = -8*f(r) - 3*h(r). Calculate n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -12. Suppose m*v + 5*i - 152 = i, -i - 38 = -v. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 - 10*k - 6. Let v be d(-9). Sort -5, v, 5 in descending order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**2. Let d be ((-4)\/5)\/(2\/(-5)). Let i(q) = 16 - 16 + q**d. What is c(i(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -126937486, -126937475, -126937460, -126937441, -126937418, -126937391?\nAnswer: -126937360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 40*r - 31*r. Suppose r*b = -6*b + 4266. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 1 - 1)*(18*q**3 - q**3 - 13*q**3).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(176)\/sqrt(11))\/(-1*sqrt(800) + sqrt(8)))**2 + -2.\nAnswer: -154\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*k + 937 = 6487 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 4. Suppose 3*f = a, -c + 5*f + 16 = 3*f. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(200)*6 + 4)**2 + -5.\nAnswer: 960*sqrt(2) + 28811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*l + 8*f - 35 = 33*l, -3*f - 4 + 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (65384\/352 - 186)*2\/2*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 4*q + 6*o - 4*o, 0 = -2*o + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -30*l + 90. Let r(u) = -1. Let b = 4073 - 4072. Give b*j(q) + 90*r(q).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of i**5\/20 + 3*i**4\/4 - 12*i**2 + 5*i - 7. What is the tens digit of u(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2963 (base 14) in base 12?\nAnswer: -42b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 3:49 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281 - 368 = 9*o + 15*m, 3*o = -2*m - 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/411918 and -127\/78?\nAnswer: 411918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18*(-374)\/(-396))\/((-8)\/(-20)*2\/4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 1268?\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/66)\/(1\/(15*-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**5 + 22*l**4 - 140*l**3 + 200*l**2.\nAnswer: -l**2*(l - 10)**2*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + -29 + -15 + 105 - (-1 + -8 + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 1773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.25633 + 0.04367. Let f = 1 - 0.5. Sort f, -0.2, z, -15\/8.\nAnswer: -15\/8, -0.2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4) - 1832\/(-16). Let n = -104 + y. Calculate the lowest common multiple of n and (-23 - -20)*(-7)\/3.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*q + 14*q + 294 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 4*z - 4*z)*(1 - 4 + 1) + 175*z - 175*z + 61*z**2 - 2.\nAnswer: 63*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -24*x + 1440. Calculate the greatest common divisor of 408 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l*u*y*z**2 + 4*l*u*z - 73*l*y**2*z - 3*l*y**2 + u*y*z + 2*u*z**2 - 1312*y**2*z**2 - 2*y**2*z wrt z.\nAnswer: 4*l*u*y + 4*u - 2624*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 14*w**2. Let p(d) = d + 421133. Give p(l(y)).\nAnswer: 14*y**2 + 421133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -2*l + 8*y + 9, 4*y + 11 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 97*-5.5796\nAnswer: -541.2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 1746?\nAnswer: -8730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 4*x**2 - 6*x. Let j be w(-5). Differentiate q**2 + j*q**2 + 3 + 0*q**2 with respect to q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 6*b**2. Let t(y) = 78*y. Give t(d(r)).\nAnswer: 468*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 165879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -115.83 + 115.73. Let x(z) = -2*z + 6. Let u be x(5). Let n = u - -3. What is the closest to n in k, 2\/11, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1309457, -1309114, -1308773, -1308434, -1308097, -1307762?\n\"Answer: -p**2 + 346*p - 1309802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/2 - 6742055*l\/2 - 23597217.\nAnswer: (l - 6742062)*(l + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 2*t - 22*t. Solve -t = 6*z + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25.52 >= 0.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 922*j**2 - 65*j - 751. Is t(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w. Let t(d) = -5*d. Let g(f) = -15*s(f) - 6*t(f). Let r(x) be the third derivative of -x**5\/15 + 75*x**2 + 34*x + 1. Determine r(g(p)).\nAnswer: -900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) 0.4  (c) 2\/395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xll when three letters picked without replacement from xlxxlxwlxwxlxl.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000702088 rounded to 6 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*u + 479*u - 53 = -2*n + 3*n, -2*u = -45*n - 155 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4  (b) 0.1  (c) 8.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + u + 1. Give c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7512*h - 402. Let m(v) = -3755*v - 230. Give 7*m(w) - 4*s(w).\nAnswer: 3763*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (3 - 5) - (156 + -111)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19187358, -76749556, -172686552, -306998346?\nAnswer: -479684938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 8 = 17. Suppose 5*a - 2*n - 19 = 8, -2*n = a - 3. Suppose 3*c - c = t - a, 5*t - g*c = 25. Solve t*k = -0*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 - 798996*b**3 + 1597980*b**2 - 798988*b.\nAnswer: 4*b*(b - 199747)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -134 * 0.53\nAnswer: -71.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1172 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: Suppose 0 = 5*g - 3*i - 20, 3*g = -4*i - 14 - 3. Which is the closest to g?  (a) 7  (b) 4\/7  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(99) + 3) + ((-1 + sqrt(275) - sqrt(275))*1)**2.\nAnswer: -15*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 20592893378 - 3\nAnswer: 20592893375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 + 20*b**3 + 24*b**2 - 532*b + 490.\nAnswer: -2*(b - 7)**2*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 7*j**2 - 5*j + 1. Let v be (-9)\/(-12) + (-10)\/(-8). Suppose -r - 3*q + 6 = -v*r, 10 = r + q. Determine a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(sqrt(1584) + sqrt(1584)*3 + 1 + sqrt(1584) + -1*(sqrt(1584) + (sqrt(1584) - -1*sqrt(1584)))))**2.\nAnswer: 48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1357435 is divided by 3402.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 32, 47, 66?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2239, -2, 2, -4, 4, 21 in descending order.\nAnswer: 21, 4, 2, -1, -2, -4, -2239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-320)\/48*(-6)\/5. Solve -21 = f*w - w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -43d4675 - -1?\nAnswer: -43d4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -12, 5*s - 2*v + 7427259 = -5022747. What is s rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 136 + -130. Sort 1, o, -0.3 in descending order.\nAnswer: o, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (-8)\/(-3) - (-384)\/18. What is the remainder when 19 is divided by (i\/(-6))\/(7\/(-21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-28))\/(12\/(-84)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 15 + (-14 + -32 - (-8 + 5 + -3))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 60 + -41. Let u = d + -19.056. Round u to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - v + 2 = 0, 0 = -2*t - 2*v - 8. Put -0.5, t, 5 in ascending order.\nAnswer: t, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 b, and 1 v when four letters picked without replacement from {d: 5, o: 4, b: 4, v: 1, s: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.35 and 1.5?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (66 + 40 + 10)*(-x + x + 4*x)*(-4 + 2 + 4).\nAnswer: 928*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 7*g**2 - 6*g + 5. Let k = 32 + -37. Let u be l(k). Let d = -11 - u. What is the highest common divisor of 12 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 74921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 645 is divided by 317.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 736 + 5*s - 736 + (-2 + 1 + 2)*(2 + 3*s - 2) in the form m + b*s and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1406 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: Let l(s) = s**2 + 29*s - 131. Suppose -3*y + 8 = -7*y, -i - 5*y - 43 = 0. Let d be l(i). Is -9\/31 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1245053 is divided by 5845?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/15 + 62\/(-15). Let v(k) = k**3 + 4*k**2 - k + 2. Determine v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(816) - 1*sqrt(816) - sqrt(816))\/((sqrt(21)*-2)\/sqrt(7)) + (-6*2*sqrt(170))\/(1*(2*sqrt(10) - sqrt(10))) + 0)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 108.3, 5, 0.13 in increasing order.\nAnswer: 0.13, 5, 108.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4 - 1. Let a = w + -1. Let o(y) = -y**2 - 8*y - 3. Let c be o(-7). Solve -f - f + c = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 5. Suppose 3*c - 2 - 2 = 5*x, x + 2*c = j. Put 3, 0, x in ascending order.\nAnswer: 0, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and 1.190276722.\nAnswer: 0.990276722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -4*y**2 - 687*y - 670. Give n(-171).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 c when four letters picked without replacement from hcrc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + (2 - (-12)\/(-3)) - -7. Let s(j) = -2*j + 8. Calculate s(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/12)\/((-10)\/4)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 10 = 3*w + 18 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-54)\/(-126) - 20\/14. Put 7, 5, k in descending order.\nAnswer: 7, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 75*w + 74. Let x be v(1). Solve x = -20*h + 36 - 96 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 16*n = 19*n + 14, 4*r + 12 = -2*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -512219 times 14?\nAnswer: -7171066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 738 and 12.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -77 + 80. Is b smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/1)\/(1\/(-1)). Suppose -5*s = 44 - 9. Let u = s + o. Which is smaller: 4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*u + 92, -3*u + 2*w + 84 = -w. Let k be u\/(-25) + (-168)\/(-90). Let 0 + 4\/3*p**2 + 0*p + k*p**4 - 2*p**3 = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*j + 1\/6*j**2 - 440\/3 = 0 for j.\nAnswer: -440, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**4 - 9798*j**3 - 194559*j**2 + 652308*j - 447948 = 0.\nAnswer: -3246, -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaooo. What is prob of sequence oooa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46 - -48. Suppose 3*l - 6*l + t = -12, 5*t = 3*l. Solve 4*x - 2*a + 5*a = -l, 4*x - j*a = -30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d - 147. Calculate s(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(3)*2*4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7583971 and -2407825.4.\nAnswer: 5176145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 136598 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/37, 4, -0.213?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1522 is divided by (28\/(-56)*(-2)\/3)\/(4\/300)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**3 - 9*t**2 - 8*t + 51. Calculate the remainder when 440 is divided by v(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5098?\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -66?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9755103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0*o - 12 = -3*i, 3*o - 20 = -5*i. Suppose i*d = -3*g + 12 - 4, -3*g = -3*d + 6. Is 2 + d\/((-2)\/(-7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1645427276.28 and -1816.\nAnswer: -1645429092.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f*f\/(f**7\/f))\/f*(f*f**(-1\/2)*f)\/f)**(-15)*((f*(f*(f*f**(-8\/5)*f)\/f)\/f*f)\/f**(-9\/4))**(1\/49) assuming f is positive.\nAnswer: f**(36823\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 - ((-10 - -10) + -305)*7 and 48?\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 323*a + 364*a + 349*a - 978*a. Let u(j) = -136*j. Calculate u(i(z)).\nAnswer: -7888*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1)*d)**(-1\/13)\/((d**(-9)*d)\/(d\/((d**(-7)\/d)\/d))) assuming d is positive.\nAnswer: d**(233\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.7411 - -6.683846. Let t = g - -28.046854. Let v = t + -28. What is v rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 8:32 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -674 - -993. Suppose -h = 2*l + 117, -3*l + b + 23 = -3*h. Is h at most -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 + 9. Let o(g) = g**3 + 13*g**2 + 9. Let k be o(r). Suppose -4*i + 2*q + 1 = -k, 0 = -i + 2*q + 4. Solve 5*t - i*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 10:27 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 1:07 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 214477792 to the nearest integer?\nAnswer: 14645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*m + 548*m - 7264 - 5720 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(-8)\/40*2\/(-2). Let a = -483\/5 + 97. Sort a, t, -3.\nAnswer: -3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w - 14*w = -5*j - 19, -2*w = 2*j + 14. Sort -2, w, -4.\nAnswer: w, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 PM and 2:48 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + -6*sqrt(8)*2) + (((sqrt(11) + -1*sqrt(11))*-6)**2 - (1*sqrt(66))\/sqrt(6)).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - j - 1. Let q(t) = -t**3 - 5*t**2 - 11*t - 4. What is q(p) - 4*x(p)?\nAnswer: -p**3 - p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3*a - 13. Let u(y) = -2*y + 6 + 1 + 0. Let o(w) = 3*p(w) + 5*u(w). Suppose 3*b + 3*i + 9 = 0, b + 2*i + 2 + 0 = 0. What is o(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.045 + 0.003. Let r = d + 3.742. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2241 (base 8) to base 5\nAnswer: -14220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -257 (base 8) to base 16.\nAnswer: -af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1.5. Let r = 18311.7 + -18312. Suppose 0*k + 5*k = -2*i + 9, -5*i = -10. Put r, k, p in decreasing order.\nAnswer: k, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*n**4 + n**2 - 135*n**2 + 9*n**2 - 4*n**6 wrt n.\nAnswer: -480*n**3 - 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 525740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1*sqrt(180) + 1 - sqrt(180) - (-5 + (sqrt(180) - -2*sqrt(180))) - -3*-1*(sqrt(180) - (sqrt(180) + -1 + sqrt(180))*-5))*3)**2.\nAnswer: -1306368*sqrt(5) + 33655824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-2)\/18)\/((-1)\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 9*q - 5. Let r be v(8). Let p = 15 + r. Solve -3*t = -4*h - 8, 3*h + p = 2*h - 5*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z - 20. Let v be f(-18). Let t be 190 - (-1 - -3 - v). Let u = 275 - t. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 161296 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 35, 94, 205, 386, 655?\nAnswer: 1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 191 and 5539.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13132210321 (base 4) to base 7.\nAnswer: -22443004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5 = 2*k - 3*k, -5*k = -3*q + 13. Suppose -q*n = 3 - 33. Suppose 6*v**5 + 0*v**5 + v**n + 6*v**2 - 9*v**3 - 4*v**5 = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ijlzizzznimiimzzmmz. Give prob of picking 1 z, 1 l, and 1 i.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 - w + 1. Let a(v) = v**3 - 2*v**2 - v + 1. Let l(d) = -a(d) + 5*b(d). What are the prime factors of l(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5, -2\/13, 2\/337, -0.023, -1\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -4921*d**3 - 7*d**2 - 4*d + 6413. Let v(n) = 3281*n**3 + 5*n**2 + 3*n - 4274. Let a(x) = 7*v(x) + 5*z(x). What is the first derivative of a(g) wrt g?\nAnswer: -4914*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/9 of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -5*z + 20, 0 = u - 2*z - 30. Let m(i) = i**3 - 36*i**2 + 3*i + 32. Let o be m(36). What is the highest common factor of u and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 0.4  (c) 5  (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.46  (b) 3  (c) 1\/10  (d) -1\/12  (e) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -154.2*6.5\nAnswer: -1002.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(((d*d**21)\/d)\/d)\/d)**23 assuming d is positive.\nAnswer: d**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1031741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -4)\/((-2)\/(-12)). Let j = n + -8. Solve 5*r - d = -15, -4*r + j*d - 18 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of 5\/2*y**4 - 1\/3*y**6 - 2\/5*y**5 - 180 + 0*y - 2*y**3 + 0*y**2. Determine v, given that r(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008408824 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 - 0 - (-189 + 157 + 46)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/6)\/(242\/(-132)))\/7?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -4*y**3\/9 + 28*y**2 + 256. Factor o(g).\nAnswer: -4*g*(g - 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 445 + 449 - 106*y - 1349 + 453 + 10*y. Let z(v) = -9*v**2. Calculate z(b(t)).\nAnswer: -82944*t**2 - 3456*t - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 142058055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/6)\/(3\/(-27)). Let k = o + 31. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1131720 and 15576?\nAnswer: 734486280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 4:54 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 2491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91173.\nAnswer: 3, 30391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 1 = 0, -246*y - 7*z + 62172 = -241*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 341 - 242. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 AM and 6:30 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25756344?\nAnswer: 2, 3, 357727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 + k**3 - k**3)*(-32*k + 8655 - 8655) + 0*k**4 - k**4 - k**4.\nAnswer: -66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(4 - (1 - -1)). Suppose 4*r - k + w*k - 12 = 0, 0 = -3*k. Suppose 2*m + 35 = r*m. Calculate the highest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of 1\/2*u**3 - 2*u + 0 - u**2 + 1\/6*u**4. What is the smallest common multiple of h(-3) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -646 + 162 + 167 - 18*r + 156 + 160.\nAnswer: -18*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1040758501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1736081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-45 + (25 - 10) + 18 - 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9735f + 364?\nAnswer: -96ffb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-6)*j)\/j)\/j)\/j*j*j**(-1\/3)*j*(j*j*j*j**(-2)\/j*j)**(-12\/5) assuming j is positive.\nAnswer: j**(-131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60658*l = 60729*l + 3240 + 736 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.9, 2, -4, 3\/7 in increasing order.\nAnswer: -4, -0.9, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 423195 and 3808755.\nAnswer: 3808755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) 13  (b) -0.3  (c) -4\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3724*t**5 - 3672*t**4 + 52*t**3.\nAnswer: -4*t**3*(t + 1)*(931*t - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 535752181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*o - 4323 + 2959 = 0 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 34. Suppose j = -7*j. Solve x - d = -j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -10*o**4 + 5*o**3 - 11*o**2. Let p(z) = 10*z**4 - 6*z**3 + 11*z**2. Let g(d) = -6*h(d) - 5*p(d). What is the third derivative of g(b) wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of j**4\/12 - 57980*j. Let b(o) = -2 + 2 + 127*o. Determine c(b(s)).\nAnswer: 16129*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13328 in 1\/4, -0.2, 1\/150?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 15, 11 = 4*r + 4*n - n. Let x = -212.52 + 209. Let u = x + 3.5. What is the fourth smallest value in r, u, 4, -2\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i**3 + 71*i**2 - 4*i - 6. Let c(g) = 11*g**3 + 141*g**2 - 9*g - 13. What is -4*c(m) + 9*d(m)?\nAnswer: m**3 + 75*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -149, -3\/4, 12.95, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 5.9215?\nAnswer: 29.6075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**5\/20 + j**4\/3 + 11*j**3\/6 + 4*j**2 - 13*j. Let c be b(6). Solve -c*y = -7*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 123*p**2 + 3*p - 6. Suppose i + i = 5*s - 64, -5*s = -5*i - 55. Suppose -3*o + 5*o = -s. Let k be l(o). 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 value of (1\/(-7))\/(1482\/2223)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42\/((-168)\/(-28))*(-6)\/(420\/(-310)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 8:05 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 1. Suppose -2*c - v = -15, -5*c - v + d*v = -15. Let k(t) = -t**2 - 7*t - 3. What is the remainder when c is divided by k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -6*z**2 + 12*z + 21. Let f(b) = 5*b**2 - 12*b - 21. Let q(m) = 5*f(m) + 4*r(m). Let y be q(-14). Let s = y - 238. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n + 36*n + 336 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.26 - 0.26. Which is the third biggest value?  (a) 1  (b) 0.2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144 and 12213.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24413.661 months in millennia?\nAnswer: 2.03447175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ypypddddddyydp. What is prob of picking 3 p and 1 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 250481 and 126511?\nAnswer: 411540283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 156468278*l**3*p**2 - 107*l**3 + 2*l**2 - l - 481988 wrt p.\nAnswer: 312936556*l**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3 + p - 1 - 1. Let m = -133 - -139. Give w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfffo. What is prob of sequence ff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.55464899 rounded to one decimal place?\nAnswer: 99.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0372646 to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.43 + -0.03. Let d = 31365\/466 + -59373871\/884934. Let j = d - -2\/211. What is the nearest to -1 in h, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.32 - 0.68. Let r = 22 - 22. What is the biggest value in r, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 59, 86 in descending order.\nAnswer: 86, 59, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -139*d**3 + 3*d**2 + 3715*d wrt d?\nAnswer: -834*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 - 30. Which is the closest to -2?  (a) -1\/7  (b) -0.06  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 + 3*n - 4. Let l be u(-3). Let v = -10 + 15. Suppose s - v*p + 5 = -p, p = 4. Solve 4 = -l*r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 2*g - 2*g)*(-1 + 3 + 0 + (-2 - 1 + 2)*(1 + 4 - 4) - 1 + 3 - 3 - 3 - 2 + 3 + 4 - 4 + 3 + (-2 + 3 + 11)*(0 + 0 + 1)).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 2*h - 11. Let t be x(5). Let c be (-1 + 18\/8)*t. Suppose c*o + p = 465, -2*p = -2*o - p + 179. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200 (base 3) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 362 + -360. What is the remainder when 127 is divided by 40\/25*(v - -19*2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -40?  (a) 5  (b) 21705  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/16 and -161\/2747574.\nAnswer: 21980592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*v + 16*v - 2*v + 40*v.\nAnswer: 81*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -13*(2\/(-3) - -1)*-3. Suppose 9*h - y*h = -380. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t + 2. Let f(n) = -14*n + 5. Let k(z) = 4*f(z) - 11*g(z). Let d be k(-6). Which is the second smallest value?  (a) -2  (b) 0.05  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s - 3*s + 3*s)*(-5 + 0 + 4) + s - s - 3*s in the form z*s + q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24855, -49707, -74559, -99411, -124263?\nAnswer: -149115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*-1*3\/(-21). Which is the closest to 2\/5?  (a) 4  (b) r  (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -0*d + 4*n - 2, -5*n = -2*d + 11. Suppose d*y - 25 = -5*k, -y + 0 + 7 = k. Let c(a) = 108*a - 108*a - 2*a**k. Let m(r) = -17*r**2. Give c(m(v)).\nAnswer: -578*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-16) - (-68*(-5)\/(-120))\/(-12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/3, 653, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 101*m**3\/3 + 3856. Let k(i) = 6*i. Calculate k(a(w)).\nAnswer: 606*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - a - 8 + (a - 2*a + 2*a)*(2 + 15 - 8) to m + b*a and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/11  (b) -0.1  (c) 2\/13  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.03 + -1.97. Let m = -44.8 + 45. Let g = -0.3 + m. Which is the third biggest value?  (a) 2  (b) g  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -54.5 - -48. Let h = s - -6.5000022. Round h to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 5. Let p be j(10). Suppose -p*d - 4 = 2*h, 5*h - d = 3*h + 8. Suppose 1 + 8 = h*a. Solve a*x = -x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4754682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 1, -2*g - 2 = g + 2*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 90205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6*d**2 + 13*d + d**3 - 7*d + 0*d**3. Let t = 0 + 5. Calculate s(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by 84527\nAnswer: -30\/84527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 777508 greater than 777375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -22*l - 34*l - 46468 + 48988 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 598*x**2 - 1 + 3*x**3 + x + 6*x**3 - 598*x**2 in the form h + a*x**3 + f*x + v*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26\/45, -4\/765, 0, -1, 0.5 in increasing order.\nAnswer: -1, -26\/45, -4\/765, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 8*i**3 - 237*i**2 + 105*i - 5859. What is m(30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/25168 and 34\/3?\nAnswer: 75504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 26, -37, -294, -847, -1798?\n\"Answer: -17*j**3 + 5*j**2 + 41*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(128) + -2.\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**14\/n**(-2\/13) assuming n is positive.\nAnswer: n**(184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 7:18 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 6*s + 2. Let x be d(-1). Calculate the smallest common multiple of (96*-2)\/6*2\/x and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 - 2984220*w**3 + 44763750*w**2 - 223819500*w + 373033125.\nAnswer: -3*(w - 5)**3*(w + 994755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 2556.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -11. Suppose 4*k = 3 - a. Suppose -5*s - n + 119 = k, -3*s + 48 + 17 = -n. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3496?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6744 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3*q + 15284 = 0, 34*l - 5*q = 37*l - 11474. Calculate the greatest common factor of l and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*a + 312 + 306 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2588916\/43339 - -1\/2281. Is b > 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*l - 2*n - 147 = 0, -3295*l + 3296*l + n + 2*n = -24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 63 - 185 = 0. Let i = 65 - k. Solve -1 - i = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 9*c**2 - 2*c - 6. Let o be i(8). Let g = o + -16. Let u = g + -10. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 27 = -23. Put -33, s, -6 in descending order.\nAnswer: s, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w - 16*w + 12 = 0. Let y(a) = 3 - 48*a - w*a**2 + a**3 + 0 + 52*a. Determine y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r + 3*l = -7*r - 61, -13 = -2*r + 5*l. What is the highest common divisor of r and 2366?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - -5) + (27 - 36) + 0 + 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.01 + 3.01. What is the nearest to 4 in b, 1, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -3\/2, 1, 0.2, 0.436?\nAnswer: 0.436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -273*q - 461*q - 282*q in the form m*q + d and give m.\nAnswer: -1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.16 - 5.84. Suppose 3*f + 22 + 2 = 5*x, f = x - 6. Suppose -z - 2*o = 9, -z + 2*o = -x*z - 8. Which is the closest to z?  (a) 0  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -k**3\/3 - 2*k**2 + 20*k - 3. Let b be s(-6). Let v(y) = -y - 2. What is v(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92481908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - 9)\/(4 + 20\/(-8)). Which is the closest to -2?  (a) 3  (b) -4  (c) 1  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 5, 58, 36, -14, 0, -5 in decreasing order.\nAnswer: 58, 36, 5, 0, -5, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2249744?\nAnswer: 2, 7, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (20 - (6 - (-13 - -12) - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5993344869 + 545.\nAnswer: 5993345414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e4 + -e98e5?\nAnswer: -e9bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + (9 + 9 - -5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, f: 1, z: 5, g: 8, b: 1}. Give prob of sequence bzg.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 313*p**3 + 1551 wrt p.\nAnswer: 939*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -7*i - 28. Suppose -3*z = -u + i, 0 = u + 4 - 9. Solve -6 = -5*k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 4*u - 1044. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*y + 3*k + 12 = -210*y, -2 = -0*k + k - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.07 + -0.03. Let r = 0 + b. Is r greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1484842766?\nAnswer: 2, 11, 67492853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 158, 317, 490, 683, 902, 1153, 1442?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 e when three letters picked without replacement from etdgedgddge.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10160, 10182, 10242, 10358, 10548, 10830, 11222?\nAnswer: 11742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34 + 66. Calculate the remainder when b is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 43 - 22. Let q(v) = -68*v - v**2 + 1 + 74*v + j. What is q(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 6462238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 9 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 4. Suppose q*r - 3*r + 2*y = 5, 5*y = r + 2. Suppose -18\/5*a**2 - 4\/5*a + 0 - 14\/5*a**r = 0. What is a?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + -2)*1*(-3)\/3. Let r = 261 + -139. Find the common denominator of 0 + q + r\/36 and -15\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 397170 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4*n - 3*k = 5, 4*k = -3*n - 1. Let g be ((-30)\/40)\/(n\/(-4)). Solve 0 = 2*y + 2*s + 6, -g*y = -0*y - 3*s + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 5. Let j be (f\/(-2))\/(5\/30). Suppose l = j + 4. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24848778.1 rounded to the nearest 10000?\nAnswer: 24850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 0.044, 2\/345, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 1  (b) 2  (c) -12  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 12:30 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 730*q**2 - 3*q - 8. Let h(o) = 1953*o**2 - 8*o - 23. Let y(f) = 8*a(f) - 3*h(f). Let b(x) = -13*x**2 + 3. Determine 8*b(d) - 5*y(d).\nAnswer: -9*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2182221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*j + 72 = 2*x, 2*x = 4*j - 308. What is the remainder when 568 is divided by 6\/8 + 1083\/j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 1)*(11*i**3 + 83 - 83)*(-4*i + 2*i + 3*i) in the form k*i**4 + n + x*i**3 + d*i**2 + f*i and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -z - 2*r + 37, 4*z - 170 = 3*r. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/2 - 0)*6. Find a such that 10*a**s - 4*a**5 + 10*a**3 - 12*a**2 - 4*a**4 - 3*a + 3*a = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8734 is divided by 1180.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 + -12. What is the greatest common factor of 98 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*a = -2601 - 379 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 1. Let u = 3 - a. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 17*c**6\/30 - c**4\/4 - 457*c**3\/6 - 60*c + 4. What is the second derivative of p(v) wrt v?\nAnswer: 204*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**5\/20 + 7*t**4\/12 + 4*t**3\/3 - 6*t**2 - t. Let c be j(8). List the prime factors of 22\/(-3)*18\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5553920 is divided by 61032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -44\/3 and 9\/1085.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -1.01.\nAnswer: 17.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71078534?\nAnswer: 2, 35539267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 66\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3704 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 28*d**2 - 96*d - 30. Calculate the remainder when 8062 is divided by s(-31).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 238 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-1)*v)*v)**(-2\/91) assuming v is positive.\nAnswer: v**(-4\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 - 5*h + 5*h - 2*h + h**2 + 2*h + (0*h + 4*h - 2*h)*(h + 1 - 1) + 0*h**2 + 0*h**2 + h**2 + 77*h**2 - 139*h**2 + 58*h**2 - 253*h.\nAnswer: -2*h**2 - 253*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-6)*(-2061)\/(-1832)*(-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1348 + 763 = -131*j - 247 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q + 6 + 3 - 6. Let y be f(0). Put -0.3, -2\/15, -7, y in increasing order.\nAnswer: -7, -0.3, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7677 times -669?\nAnswer: 1182.5913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 6*t - 6. Let v be u(5). Let x = -0.44 + -19.56. Let n = -19 - x. Which is the second biggest value?  (a) -0.4  (b) n  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 451220 to the nearest one thousand.\nAnswer: 451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43121314 + -141?\nAnswer: -43121455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 40397, 80790, 121193, 161612, 202053, 242522, 283025, 323568?\n\"Answer: j**3 - j**2 + 40389*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -608 + 795. Calculate the highest common divisor of m and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 368 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*2\/26)\/((-73)\/((-19929)\/(-987)))?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qqyyq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1687 less than 88986304?\nAnswer: 88986304.1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 + 10)*(21\/(-9) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 - 35. Does 12 divide (b\/(-6))\/(2\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from brgxgxrgrggbrbbgrg. What is prob of sequence bxrg?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -76*k**3 + 3*k**2 + k. Let d(r) = 152*r**3 - 5*r**2 - r. What is -3*d(j) - 5*i(j)?\nAnswer: -76*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*z + 67. Let m = 7066 - 7013. Suppose z*d - m = 31. Solve -2 = d*s + 10, -2 = 2*t + 2*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2257389.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 2*q - 8*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 94730692 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y + 79. Let b be x(38). Sort -11, b, -8, -4.\nAnswer: -11, -8, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-67 - -37) + 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 6\/17, 0 in increasing order.\nAnswer: 0, 6\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.537 - -8.8.\nAnswer: 6.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -158 - -186. Suppose 17*o - 40 = q. Let a(k) = -2*k**2 + 6*k - 5. Calculate a(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**3 - 1036976*y**2\/3 - 1382626*y\/3 - 345656\/3 = 0. Calculate y.\nAnswer: -172828, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**3 + h**2 + 2*h + 1. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, -3\/37, -2\/5 in ascending order.\nAnswer: -2\/5, -3\/37, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.042  (c) 3  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 5076.38742 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - 3317*g + 6635*g - 3318*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, -2, 0.1, -0.5, -0.289?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**5\/60 - u**4\/3 - 3*u**3\/2 - 3*u**2. Let c = -38 + 31. Let q be t(c). Which is smaller: -0.5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 66*u**2 + 9373*u + 335. Calculate g(-142).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -153 - -191. Suppose 0 = -j*n + 16*n + 726. What is the greatest common divisor of 242 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1435480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 76*v**2 + 234*v + 238. Calculate n(79).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 118 - 128*s - 135 + 34*s. Is h(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -340*p + 1292936 = -311*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -184.7 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 9:47 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -172, -146, -76, 62, 292, 638, 1124, 1774?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -436383, -872773, -1309165, -1745559, -2181955, -2618353?\n\"Answer: -r**2 - 436387*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -10*b**3 - 49*b**2 + 91*b + 8. Let t(v) = -v**3 - 8*v**2 + 1. Calculate 6*t(y) - w(y).\nAnswer: 4*y**3 + y**2 - 91*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/((-180)\/42) - 5538750\/(-63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 282*n**2 + n - 7. Let x = -7 + 9. Let d(u) = -565*u**2 - 3*u + 15. Let l(a) = x*d(a) + 5*z(a). Let i be l(-5). Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 70\/3  (b) 32  (c) 2\/9  (d) -0.1  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((7468\/(-6))\/(-2))\/(1449\/3726). Let u = 33658\/21 - w. Calculate the common denominator of 34\/21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*x**3 + 4*x**3 - x**3)*(-48 + 222 + 148) to the form f*x**2 + v*x**3 + y + i*x and give v.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -6517187*s - 309. Let n be r(-7). Round n to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 22 = 2*t. Is -8 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2992 - 1298. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19750 and 288350.\nAnswer: 1441750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -614.745506 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 3:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*m**2 + 391*m + 3 + 3 - 393*m in the form j + l*m + f*m**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-12) + (-38)\/12. Let l be -2*(-5 - (u - 0)). What is the greatest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5950\/(-1190) - (29 - 0)*-1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 5:11 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -0*i + 2*i. Let m = i + -35. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/12 + (-722)\/6. Let z be 2 - -2*813\/f. Let j = z - -93\/10. Find the common denominator of j and 27\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4225 divided by 7.\nAnswer: 4225\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -287 + 857. Suppose -s = -13*d + 8*d. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + 4. Let l be -1 + (-9)\/3 + 3. What is the lowest common multiple of ((-6)\/r)\/(l\/3) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (200\/(-650))\/((-4)\/(-182)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -156?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**3\/8 - 101655*b**2\/8 + 862921125*b\/8 - 30077840625\/8.\nAnswer: 3*(b - 16925)**2*(b - 35)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cdd when three letters picked without replacement from {d: 2, o: 3, c: 13}?\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quhq when four letters picked without replacement from {h: 1, u: 3, q: 2, v: 1, c: 2, a: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1586080661 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4772 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 32849590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a5 + 1?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*i + 25, -2*g + 15 = 2*i + g. What is the third derivative of -3*x**6 + 5*x**6 + i*x**2 + x**2 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2415 (base 14) to base 4\nAnswer: -1202103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11922, -23845, -35770, -47697, -59626, -71557?\n\"Answer: -a**2 - 11920*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -230 + 134. Let q = k - -152. Is q at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -7, -17, -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/3*u**2 + 4*u + 2*u**3 - 1\/3*u**4 - 4\/3.\nAnswer: -(u - 2)**2*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -8*u - 66. Calculate r(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 56*s - 3. Let v be b(3). Let l = -24 + v. Suppose -2 = 2*j, -3*j = -0*z + 2*z - l. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 8. Let u be o(-8). Suppose u = f - 1 - 4. Suppose 4*y - f*k = 5*y - 32, y - k - 2 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((14 - 0) + -8 - -65) + 16 + 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 532*j**2 - 57. Let m(r) = -19*r**2 + 2. Let k(y) = 114*m(y) + 4*p(y). Let x(t) = t**2. Calculate k(x(s)).\nAnswer: -38*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 2086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 165 - -73. Let j = 120 - i. Let o = j + 103.3. What is o rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 + w + 7. Let a be g(-5). Let l(o) = -257*o - a*o - 31*o. Let q be l(1). What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/(b**9\/b)*b*b\/b**(-12))\/((b**9\/b*b*b*b)\/b**10))**(-37))**(-13) assuming b is positive.\nAnswer: b**3367","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.302867 - 0.28527. Round p to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15031 - -15103. Solve 97 - d = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*g**2 - 2463 + 25*g**2 - 1508 - 745.\nAnswer: -g**2 - 4716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 201, 483, 5, -5, 36 in decreasing order.\nAnswer: 483, 201, 36, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-21) + (-25029)\/(-63). Suppose -3*c + 5*j + 411 = 2*j, 0 = -3*c - 4*j + n. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-2)*(-5 + 3). Let l(f) = -f**2 + 8*f + 2. Let v be l(6). Suppose 3*w = -2*i + v, -y*i - 20 = -i. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5792 is divided by 292.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47083.\nAnswer: 197, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w = 26606 + 1477. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.12 - 0.22. Let o = k + 0.2. Let c = 2 + 3. What is the nearest to o in -5, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -q**10\/26460 - q**9\/5880 - q**8\/3920 - q**7\/8820 + q**4\/8 - 3*q**2. Let s(g) be the second derivative of l(g). Factor s(v).\nAnswer: -2*v**2*(v + 1)**2*(4*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 54128.0279 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, q: 5}. Give prob of picking 2 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -147173 - 29.755?\nAnswer: -147202.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -18  (b) -1  (c) -3  (d) -0.3  (e) -117\/4  (f) 1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -4298\/815 less than or equal to 0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13a6 (base 11) in base 13?\nAnswer: a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*q = -342*q + 25*q + 12351 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -8*h**3 - 16*h**2 + 3*h - 5. Let y be o(-5). Suppose y*i = 579*i + 22. What is the remainder when 240 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 61  (b) 5  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -640 - -1863. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 2*p + 2*p - 22, 124 = -4*o - 2*p. Let h = 52 + o. Solve -4*d = 2*t + 8 + h, 4*d = 3*t - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -887804 divided by -30\nAnswer: 443902\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -4.08. Let a = q - 0.08. Let v = 0.0001 + a. Round v to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 0.29 in decreasing order.\nAnswer: 0.29, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 2135182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 12:36 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 479737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(20) - -1*sqrt(20)))\/(sqrt(90)*5))**2 - (sqrt(96)\/sqrt(4) + sqrt(6))\/(1*sqrt(243)).\nAnswer: -sqrt(2)\/3 + 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**3\/7 + 1201*a**2\/7 + 2526*a\/7 - 144360\/7 = 0.\nAnswer: -12, 10, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = -2*g + 4*u + 18, 2*g + 4*u = 28. Let q(z) = -1 + 5 - 4*z + g*z**2 - 14. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o + 5. Let w be l(2). Are 3 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 51\/8 of a millimeter?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 6 - 18. Let t = y - -22. Suppose -3*l + 2 = 5*z, 8*z + t = 2*l + 4*z. Solve -v - 2 = w - 3, 0 = -4*w + l*v + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362025733.\nAnswer: 109, 193, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00985509958 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirty-one fifths of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (f - 3*f + 4*f)*(3 + 2 - 1)*(-1 + 1 - f) + (-2*f - f - 4*f)*(3*f + f - 2*f) as r + m*f + o*f**2 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.3694 - -0.056548?\nAnswer: 52.425948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2220210321 (base 4) to base 6\nAnswer: -22444413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -454667 - 1?\nAnswer: -454670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -t**8\/240 + 41*t**7\/525 + 149*t**6\/120 + 209*t**5\/75 + 3*t**4\/2 + 5942*t**2 - 2. Find j, given that p(j) = 0.\nAnswer: -5, -1, -2\/7, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011100110 (base 2) in base 8?\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1888417 divided by 9887?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5.686215mm?\nAnswer: 0.000005686215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 11*v**2 + 10*v. Let j be s(10). Suppose t - 4*m + 5 = 0, 3*t + 2*m + j - 13 = 0. Let k = 4 - t. Is k less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*v = -16*v - 0*v + 46. What is the closest to v in -5\/2, 10, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from yyyypllylppll.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34386, 68638, 102890, 137142, 171394, 205646?\nAnswer: 239898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1708*y - 852*y - 857*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105786 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04378055 + 0.\nAnswer: 0.04378055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -116.112 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of -23*r**5\/120 - 11*r**4\/24 - r**3 + 12. Let f(h) be the third derivative of z(h). What is the first derivative of f(o) wrt o?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1621 (base 8) in base 12?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -102  (b) 2\/9  (c) 2729\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 557626?\nAnswer: 1672878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3538, 7064, 10576, 14074, 17558?\n\"Answer: -7*c**2 + 3547*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/(-28) - (-1494)\/14?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10 and 6.5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 9:02 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 516\/387 + (-3 - 721\/(-441))\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -3  (b) 4  (c) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 28042, 4 in ascending order.\nAnswer: 1, 4, 28042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4334072.\nAnswer: 2, 541759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 2*w**2 - 3*w - 4. Let z be r(3). Put z, -5, 2 in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oroorbobrbo. What is prob of picking 3 b and 1 r?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 360 and 74313?\nAnswer: 2972520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 16 - 68 + 3*o**2 - o + 33 + 18. Let t(g) = -g**2 - 4*g + 4. Suppose -d = -3*u + 2, d + 0*u + 4*u + 9 = 0. Let j be t(d). Determine n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4263458 months in decades?\nAnswer: 0.011886215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7709 + -4312. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**4)**34 assuming v is positive.\nAnswer: v**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 213, 18, 2, 0, 9, -3 in increasing order.\nAnswer: -3, 0, 2, 9, 18, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2)\/((-3)\/(-438)). Suppose -y = -2*j + 97. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -445, -452, -463, -478, -497?\n\"Answer: -2*x**2 - x - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 + 1)*(-5*u + 2*u + 2*u)*(0*u**2 - 4*u**2 + 5*u**2).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*k + 259 = 349*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 518\/17 smaller than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2125001*x**2 + x - 2. Let c be b(-2). What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 times 12.708687\nAnswer: -406.677984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-2*sqrt(110)*-5)\/sqrt(10) - (-5 + sqrt(1584) + -1)).\nAnswer: -2*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*j**3 + 14*j**3 + 10*j**3 + 14*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 153?  (a) 125  (b) 46  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1536059 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -215*v**2. Let o(i) = -2*i**2. Calculate g(o(a)).\nAnswer: -860*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 5*m - 5. Let w(s) be the third derivative of -s**4\/24 + s**3\/6 + 8*s**2 + s. Give 4*c(j) + 18*w(j).\nAnswer: 4*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 145, -55, -255, -455?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1016.432615 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -201120 (base 6) in base 9?\nAnswer: -23623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -99*m - 165. Calculate d(-1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of 11*q**2 + 3*q + 0 + 0*q**3 + 19\/12*q**4. Differentiate w(t) with respect to t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -301187, -301191, -301189, -301175, -301143?\nAnswer: -301087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1941 = -h - c, 54*h - 51*h - 5793 = 3*c. Calculate the greatest common factor of h and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 1\/7, -0.1, 50, 3, 0.3 in ascending order.\nAnswer: -0.1, 1\/7, 0.3, 2\/5, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -8126900 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 1497*h**2 - 24*h + 1010. Let r(d) = -1498*d**2 + 20*d - 1012. Let t(j) = 6*r(j) + 5*u(j). Find the first derivative of t(a) wrt a.\nAnswer: -3006*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 0.1, -5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 2. Calculate f(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 993998493 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*t = -3*f + 11, t = -2*f + 8. Find the second derivative of -2*o**f + 4*o - o**5 - 5*o**5 + 4*o**5 wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 + 20. Let v = 51 + z. Suppose 29*g = 28*g + v. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -166850, -166347, -165844, -165341, -164838?\n\"Answer: 503*u - 167353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1936190137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (14080\/(-165))\/(4\/1310250). Round l to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1331)\/132*1 + 10.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 1509649753.\nAnswer: 6038599012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (7 - (-5 - -26)) + -8 - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 7) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4147383 + 2?\nAnswer: 4147385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 8 = -2*j, -2*j - 3*q = 2*j + 12. Let c be (-1 - -2 - 3)\/2. What is the closest to j in -4, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 17*m**2 + 10*m - 48. Let y be l(-19). Find the third derivative of 70*h**3 + 75*h**3 + 6018*h**2 - y*h**2 wrt h.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of l**9\/504 + l**8\/112 + 44*l**7\/105 + 1043*l**5\/30 + l**2 - 1392. Find the third derivative of z(v) wrt v.\nAnswer: 120*v**3 + 180*v**2 + 2112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1969 and 363?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 6  (c) 1  (d) -8  (e) -0.033  (f) -11.4  (g) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 1. Let d = 64 + -52. Let k(n) = -3*n**3 - 12*n + 12. Give d*m(i) + k(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 382 + -377. Which is the nearest to -0.12?  (a) 1\/3  (b) g  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(6*4))\/((5549\/(-124) - -45)\/46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 3*c**2 + 2*c - 4. Let v be u(-3). Let r = 34 - 29. Put r, v, -5, -4 in decreasing order.\nAnswer: r, -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 13 = -3*n. Differentiate n - 15 + k**3 + 0*k**3 wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(833)*-2 + (2*sqrt(2448))**2.\nAnswer: -14*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -4*w + 9 + 27, -y = 2*w - 14. Suppose -10*c = -6*c. Suppose -4*u - 7 - 5 = -4*i, 4*u - 5*i + 17 = c. Put w, 3, u in decreasing order.\nAnswer: w, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 2. Let g = z + 3. Suppose 522*v - 514*v = 8. Calculate the highest common divisor of v and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 0*d + d - 5 to x*d + k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12421 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - sqrt(117)*3)*1 + sqrt(117))\/(sqrt(54)\/(sqrt(18)\/sqrt(3) + sqrt(6)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1095 is divided by 1091.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 139*u - 8*u)*(-4 + 4 - 4*u) to z*u + j*u**2 + m and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 0*j + 0*j**5 + 0*j**2 + 0*j**4 + 0*j**3 + 1\/2*j**6 - 6. Factor d(n).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 4*u + 3. Let g be y(-3). Suppose -5*j - n - 3*n = g, -9 = -4*j - 5*n. Let a be (2\/(-2))\/(5 + j). Which is smaller: a or 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26152690*q**4 - 2849721*q wrt q?\nAnswer: -313832280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - (7 + -6 - 0)) + 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120838078.\nAnswer: 2, 37, 173, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + 0)\/(6\/12). Is 27 + -3*k\/(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 991 is divided by 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, v: 6, x: 1, g: 1, w: 1, r: 1}. Give prob of picking 1 g, 1 r, and 1 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43176 by -6168.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t - 3*t + 0*t + (4 - 1 + 1)*(4*t - 4*t + t) + (0*t + t + t)*(-1 - 4 + 4) + 2*t + 3*t - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 19326, 5, 1 in ascending order.\nAnswer: 1, 5, 17, 19326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-6) + 45\/27. Suppose -a + p = -0, 451 = 2*x + 5*a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -689*l**3 - l**2 - 12*l - 18. Is 66 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2463 = -53*x - 5*n + 954, 107*n - 102*n = 4*x - 231 for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**10*h*(h*(h*h**(-5\/6))\/h)\/h)\/(h**(-5)\/h)**(-14) assuming h is positive.\nAnswer: h**(-557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -5*i + 5. Let c(q) = -q - 1. Let t(y) = -7*y - 4. Suppose -17*h - 6*h = -506. Let s(x) = h*c(x) - 4*t(x). Calculate -5*p(n) - 4*s(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c + c - 5*c + 57*c**3 - c**2 - 50*c**3 + 1 as r + w*c**2 + d*c + p*c**3 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6383\/1232 + 1\/154. Calculate the common denominator of -41\/418 and f.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -42*a**3 - 3298*a**2 - 1167350 wrt a?\nAnswer: -126*a**2 - 6596*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3921 * -1997\nAnswer: -7830237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 63577\/1218 + -1473\/29. Find the common denominator of 23\/756 and l.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -206*w**2 + 11*w - 11. Let k(i) = 41*i**2 - 2*i + 2. Suppose 45 = 220*z - 217*z - 3*b, 0 = -2*z - b + 18. Determine z*k(m) + 2*j(m).\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7202*(840\/260)\/7. What is the greatest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.1 + -79.504.\nAnswer: -80.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -235, -225, -227, -247, -291, -365, -475, -627?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -270*d + 548*d - 271*d + 197 + 0*d + 2*d - d + (4*d - 3*d - 3*d)*(6 - 1 - 3) + 0*d + 0*d + d.\nAnswer: 5*d + 197","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*i + 4. Suppose i*m + 3*m = 230. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**2 - 30*c - 8. What is l(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10356 divided by -6\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -268 - -270. Let y = -11 - -16. Let c be 8\/(-20) + (-34)\/(-10). Solve -y*n + c = -g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, -2, -14, -22, -20, -2, 38?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -16*n - 2. What is the smallest common multiple of m(-1) and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -32076, -256328, -864952, -2050134, -4004060, -6918916, -10986888?\n\"Answer: -32031*h**3 - 35*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.39136 and -669.\nAnswer: -1599.81984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.33 * -23241.\nAnswer: -7669.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 - 1)*(-14 + 14 + 8*l**2) - 4*l**2 + l**2 + 5*l**2 + (3 - 3 + 3*l)*(2*l + l - l) in the form a*l**2 + t*l + y and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 478\/6045 + -1\/465. Does h = -35\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/2, -1, 0.4, 694, 2, 3.42, 4?\nAnswer: 3.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 51\/77086 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of n**4\/24 + n**3 - n**2. Let z be a(-3). Solve 0 = -4*t + 17 + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -69, -254, -625, -1242, -2165?\n\"Answer: -10*x**3 - 33*x**2 - 16*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 10*i**2 - 11*i + 4. Let x be v(-11). Let d(l) = l**3 + 4*l**2 - 13*l - 32. Let t be d(-5). Solve -x*m + t = -0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13403 (base 5) to base 14.\nAnswer: 58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -194 + 86 = 5*p - 93 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -684. Is v\/10 - 2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16871437.\nAnswer: 11, 43, 53, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36\/5*m - 486\/5 - 2\/15*m**2 = 0. Calculate m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (102833\/(-35768))\/(2\/16)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 9055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -11*v**3\/2 + 187*v**2\/2 + 167*v. Differentiate z(t) wrt t.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -2*o**3\/3 - 145*o**2 - 4202*o - 62. Let p(c) = c**2 + 290*c + 4201. Let m(n) = -3*p(n) - 4*t(n). Factor m(x).\nAnswer: 5*(x + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-248)\/(-28))\/((-8)\/(-168)). Suppose 3*h = t - 1018, -5*h = t - 864 - b. List the prime factors of t.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -140  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9777186*u**5 - 227049*u**2 wrt u?\nAnswer: 586631160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 14*i**2 - 164*i - 16. Calculate n(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.6986389 + -2.60136. Let m = 611.7 + -615. Let i = z - m. Round i to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 7146*l + 85496. Give b(-12).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 5*m - 6445, 109*m - n = 104*m + 6455. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -5*s + 2. Let k(h) = 14*h - 6. Suppose 3*a + 15 + 1 = -n, -8 = 2*a + 2*n. Let d be 4\/a*(-12)\/2. Give d*k(t) + 11*w(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 17735728*p - 19659752980624.\nAnswer: -4*(p - 2216966)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 156\/30 - (-1)\/(-5). Suppose r = -5*g + 18, p*r - 11 = 4. Suppose -2*h + 33 + g = 0. What is the highest common factor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -71*p**3 + p. Let o be s(-1). Suppose 150 = 12*v + 3*v. Calculate the greatest common factor of v and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (2 + sqrt(125)))*-3)**2 + 1 + (2*(-5 + (0 + sqrt(125) - sqrt(125))))**2.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.5  (b) 2\/7  (c) 7\/3  (d) -113  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 8) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-8 - -3) - -4. Let v be (1\/(-2))\/(2\/24). Let x be (-22)\/(-6) + 4\/v. Solve 0 = -x*n + 4*s + 10, -16 = 5*n + h*s + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53749260?\nAnswer: 2, 3, 5, 298607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -0.8, 540 in descending order.\nAnswer: 540, 5, 3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*f + 2 = -31*f. Suppose -2\/3*k**3 + 0 + f*k**2 - 4\/3*k = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.36 - 3.02. Let o = 0.92 - g. What is o rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 5 + 0*a**3 + 0*a - 5\/2*a**2 - 1\/4*a**4. What is the second derivative of o(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - -4. Suppose 4*d + 2*k = q*k + 28, -5*d + 52 = -2*k. What is the least common multiple of 22 and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00097267966 to 7 decimal places.\nAnswer: 0.0009727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 140866000 a multiple of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4349 - 4331. Which is bigger: s or 179\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1017*a - 418 = -1055*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15195883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 86532 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 782 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 50 - 348\/7. Which is the second biggest value?  (a) 4  (b) -68  (c) -3\/7  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0\/g)**8*(g**(1\/2))**(-8\/15))\/(g\/(g\/g**(1\/6))*g*((g*g\/g**(-1\/4))\/g)\/g*g*g**(-7)*g**(3\/5)\/g) assuming g is positive.\nAnswer: g**(-197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1022 (base 3) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22 + 18)\/((-1)\/(4\/(-2))). Which is the nearest to 0?  (a) s  (b) 2\/11  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.23 + -8.17. Let i = 8 + m. Let a be (-341)\/330 - 2\/(-10). What is the smallest value in -3\/8, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1319321 * -4.\nAnswer: -5277284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 61040535 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: b\"What is the zth term of -54178, -54182, -54190, -54202?\n\"Answer: -2*z**2 + 2*z - 54178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 51. Let c = 18596\/21 - 886. Is c bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 2*p**5\/5 - 3*p**4 + 2*p**3 + 10*p**2 + 1. Factor f(x).\nAnswer: 2*x*(x - 5)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + v + 12 = 4*f, 2*f = -2*v. Let y be f\/(-28)*3 + -1. Which is the second smallest value?  (a) y  (b) -6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of -2153*f**4\/3 + f**3 - 2*f**2 + 3*f. Let u be z(6). What is u rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -p + 3*p. Suppose 28*a - 29*a - 30 = -5*z, 3*a - 5*z + 30 = 0. Solve -p*u - 2 = 2*o - 12, a = -4*o - 4*u + 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -8, -3, 0, -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -8 - (-4 - -1)*2. Put 1\/10, j, 1, -11\/10 in ascending order.\nAnswer: j, -11\/10, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/999 - 2\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17434, -34884, -52334, -69784, -87234?\nAnswer: -104684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 2*s - 3. Give j(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -43 - -43. Let t(v) = v**3 + 23*v**2 - 23*v + 29. Let s be t(-24). Suppose -s*y - 31 = -101. Solve 4*l - w = y, l + z*w + 2*w + 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = a + 16. Suppose -5*g - 12 - 4 = 3*k, 25 = -5*g. Suppose -56 = -k*d - 2*o + 4*o, -4*d = a*o - 48. Calculate the remainder when 63 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**1\/m)\/m)**38\/((m**(2\/21)\/m)\/(m\/(m*m**(-1\/8)))))**(8\/11) assuming m is positive.\nAnswer: m**(-6211\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 at least 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -37, -59, -69, -67?\n\"Answer: 6*p**2 - 40*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**2\/7 + 964388*i\/7 + 1928792\/7 = 0.\nAnswer: -2, 241099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 2*t - 5*w = 60, 2*w + 72 = 10*t - 4*t + 3*w + 56 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -5102\/51 not equal to -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m + 13 - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*v - 0*v - 544 - 1649 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-15)\/10)\/(3\/(-22)). Suppose t + 55 = 6*t. What is the greatest common divisor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -10\/11  (c) -3\/58  (d) 17.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 5*h - 190, 2*g - 64 = -0*g - 5*h. Let v be (-55)\/1760 - 11773\/(-1952). What is the highest common factor of v and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -396, -130, 136, 402?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-2))\/(24\/(-288)). Let w be m\/14 - (-304)\/56. Suppose -w*r = -3*r + l - 115, 0 = -2*r - 3*l + 105. Which is smaller: 59 or r?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/5  (b) -0.03  (c) 56  (d) 0.3  (e) 1\/4  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c6e + -10d95?\nAnswer: -11a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 0*r**2 + 6*r**2)*(-2 - 4 + 4) + r - r + 3*r**2 + (2*r + 0*r - 3*r)*(3*r + 3*r - 4*r) - 3*r**2 - 5*r**2 + 6*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 30*h**2 - 63*h + 42. Give x(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -605238, -4841901, -16341406, -38735175, -75654630?\nAnswer: -130731193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1352 and 16?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmmsglsmcslsmmv. Give prob of sequence sls.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1560)\/(-1360) + 4*39\/442.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.0543 - 0.3543. Let r = 4.02 - 0.02. What is the closest to -2\/5 in -3, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/2))**(-3\/16)*h**(-1)*h\/(h*h*h**(-2\/7)\/h*h)*h assuming h is positive.\nAnswer: h**(-139\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -109.1 + 109. Let o be ((-1)\/2)\/(4\/(-10)). Let h = 5.2 + -5. What is the third biggest value in w, o, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -2*k + 88, 7*f = -k + 2*f + 44. Let j(m) = -m**3 + 6*m + 220. Let h be j(0). Calculate the highest common divisor of k and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {w: 4, v: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from yrrryryrrhrykhury?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = 14517*t - 14513*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -0*t - 3*t. Suppose -5*i + 21 - t = 0. Factor 3*h**3 - 6*h**3 - h**i + 2*h**3 + 2*h**4.\nAnswer: 2*h**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {h: 3, a: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1)\/(-4))\/(3\/(-33)) and 4\/(-2)*1 - 30\/(-28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - k = 1, 12*c - 3*k = 17*c - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799 is divided by 64.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (552\/80)\/23*4\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/315 and -89\/952125?\nAnswer: 19994625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 80421, 80137, 79855, 79575, 79297, 79021, 78747?\n\"Answer: i**2 - 287*i + 80707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14697*n + 723*n**2 - 159*n**2 - 14697*n to the form m*n**2 + r + z*n and give m.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**4 - 4152*n**3 - 33267*n**2 - 54074*n - 24960 = 0?\nAnswer: -6, -1, 4160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 0) + 1 + 8 + -5. Let t(c) = -4*c. Let w be t(-2). Solve 5*g - 20 = -5*d, -n*g = 3*d - w*d + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 827*a**2. Let i(x) = 2*x - 19. What is i(w(f))?\nAnswer: 1654*f**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20.3 - 18.1. Let n = -0.2104 + 0.1104. Which is the closest to n?  (a) f  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*h + 573*h + 7319 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 10 = -2*u - 0*u, -3*o - u = -5. Solve 5*g + l + 13 + 0 = o, 0 = 2*g + 3*l + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -6*z - 5. Let q(r) = -2*r - 5. Let n(s) = -s - 2. Let c(f) = -4*f - 7. Let a be c(-6). Let d(m) = a*n(m) - 6*q(m). What is 7*d(v) - 6*j(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 668521920 a multiple of 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17831791259 + 9.\nAnswer: 17831791268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 2\/11  (b) 1  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ylly when four letters picked without replacement from iylyiylllli.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + -144?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20913 is divided by 6417?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m + 70 - m - 56 to o*m + q and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxeh when four letters picked without replacement from zexhepn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + (-252)\/(-18 - -4). Solve -s*h - 54 - 36 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65647393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 25, -2, -6 in ascending order.\nAnswer: -6, -2, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of 0 - 2\/3*t**3 + 4*t - 2*t**2. Suppose -2*r = y + 19, r - 384*y = -388*y - 27. Calculate h(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1005)\/145 - (-1 + (3 - 15) + 6).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1680714269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -6*u**2 - 8 + u**3 - 4 + 18. Let d be n(6). Suppose 0 = -d*v + 2*v + 284. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - 2*k - 2*k)*(175*k + 149*k - 50*k).\nAnswer: -274*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - 11. Let c = -7 + 13. Let j be 2 + 2\/8 - 2\/8. Solve -y*k + u = -j, -c = -2*k + u - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 bigger than -332.1154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 792 is divided by 599.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*3 - (4 + sqrt(45)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 6*z**2 + 7*z + 7. What is p(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -167562.09403 + 168000.09402022. Let r = j + -438. Round r to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2210 and -2213 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 7142190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - i + 5 = 2*h, -2*i - 35 = -3*h. Suppose -q = 3 + h. What is q rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**4\/12 - 4*t + 8. Let l(g) = 9*g**2. Calculate l(x(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -6.9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -269*c + 90*c + 90*c + 90*c. Let x(t) = 1 + 173*t**2 - 1 + 168*t**2 - 338*t**2 - 5*t. Determine x(a(o)).\nAnswer: 3*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3 + 0 - 0 - -1) + 233.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-70)\/(-6) - ((-3420)\/(-90) + -47)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 - 5. Let q(u) = u**2 - 1. Let y be (2 + 3)\/((-6)\/6). Let g(t) = y*q(t) + m(t). Let c(r) = -3 + 5*r**2 + 3. Calculate c(g(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = v + 4*u - 176, -2*v - 3*u + 87 = 0. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by -3\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 138679298, 138679296, 138679294, 138679292, 138679290, 138679288?\nAnswer: 138679286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 626085937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73 - -20. What is the remainder when b is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 k, and 1 i when three letters picked without replacement from mtirektk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -25040 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.4, -4, 30\/11, 2\/9?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.5, 7, -4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/21879 and 18\/8489.\nAnswer: 14286987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9.7 - 0.7. Let m = 10 + b. What is the second biggest value in m, -1\/6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20302 + 10167 + 10130 + 165*b.\nAnswer: 165*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*k**3 - 2696*k**2 - 16284*k - 24480 = 0. Calculate k.\nAnswer: -3, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225 = -109*o - 334 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*k**2 - 128*k**2 - 32*k**2 + 43*k**2 - 28*k**2.\nAnswer: -306*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {l: 1, m: 7, o: 2, b: 1, e: 5, u: 4}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n**3 - 4*n**3 - 6*n**3 + 21*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - 29*r**2 - 4*r - 89 + 6*r + 88.\nAnswer: -29*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/6)\/((-6)\/(-128)*(-352)\/2376). Solve -48 + j = 94*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.029 and -0.1?\nAnswer: -0.1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72240?\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/((-680)\/(-24))*-2*3\/36?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 98049551 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 27*a**2 + 25*a + 40. Calculate j(-28).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/6)\/(10\/(-6))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 546664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10164 = -58*k + 47*k. Is k a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1 + sqrt(1584) + sqrt(1584)) + (-3*(-1*sqrt(1584) - sqrt(1584)))**2)*-4.\nAnswer: -228112 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*w + 34*w + w**3 - 3.\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - (1*sqrt(88) - sqrt(88))*5) + sqrt(88))*-2)\/(-6*2*sqrt(8) - sqrt(8) - sqrt(88)\/(sqrt(11)*2))*-3.\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/147324 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -399252*v**3 + 53319*v - 2.\nAnswer: -2395512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4200 and 18730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-198)\/(-42) + (-4)\/(-14). Let s(n) = n - 10. Calculate s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b + 22*b = 6, -2*h = 4*b - 1500. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138719639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of 9*k**7\/70 - 5*k**6\/8 - 3*k**5\/10 - 3*k**2 + 2. Find n, given that v(n) = 0.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-10)\/(-3))\/((-25)\/(-630)). Solve 153*n**2 - 140*n**4 - 67*n**4 - 10*n**3 + 202*n**3 - 26*n - h*n**5 - 28*n = 0 for n.\nAnswer: -3, -3\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 16) in base 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p = -21*p - 20. Suppose p*h = d + 163, 3*h + d - 97 = 2*d. What is the highest common factor of h and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -62.9999868 + 63. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**5\/10 - z**4\/4 + z**3\/3 - 120*z**2. What is t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3*b + 3. Let p(c) = c + 1. Let v(w) = -5*p(w) + 2*y(w). Let m = 9 - 13. Let k(n) be the first derivative of -n - 22. Give m*k(l) - 2*v(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 170 - 167. Solve 9 = -k*c, -c - 2*c = 4*w + 17 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 254 + 101. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 1:25 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 7*x - 157. Calculate the remainder when 273 is divided by m(29).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**2\/9 - 52*q\/9 - 70\/3 = 0.\nAnswer: -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 7*t + 6. Let v(s) = 3*s**3 - 10*s**2 - 21*s - 19. Let u(x) = -11*j(x) - 4*v(x). List the prime factors of u(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.8, -2, 1 in ascending order.\nAnswer: -2, 0, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28307\/337 + -84. Let n = -667\/2359 + j. Put 1\/7, n, -1, 10 in descending order.\nAnswer: 10, 1\/7, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 0*g**3 + g + 0*g**5 + 0 - 7\/30*g**6 + 0*g**4 - 3\/2*g**2. Differentiate j(b) with respect to b.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 97223?\nAnswer: -291669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 9*m = -24. Solve 4*h + 4*b = -8, -2*h + m*b + 9 = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11530220 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64490371 is divided by 155.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 3*i - 2. Let t be ((-1)\/(-3))\/((-1)\/9). Let s be (-8)\/(-12) - (-11)\/t. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i + 16*i + 2*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8693.9802 - 8694. Is -1.4 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -y + 1. Let b(f) = -12*f + y*f + 6*f. Let m(r) = -r**2 + 37. Calculate b(m(q)).\nAnswer: q**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.77071 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = g - 5*g + 27, 0 = 5*g - 5*c. Solve 1 = -g*s + 3*n - 2, 0 = s + 4*n - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 + 18261*c - 91230.\nAnswer: -3*(c - 6082)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 4, 2\/5, 1, 703?\nAnswer: 703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 108*i**2 - 63*i + 90. Let o(u) = 22*u**2 - 12*u + 18. Calculate 4*n(v) - 21*o(v).\nAnswer: -30*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7\/((-35)\/43) + 9\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llililz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 6*u**2 + 23*u + 2. Let r(d) be the second derivative of -d**4\/6 - 6898*d. Give c(r(m)).\nAnswer: 24*m**4 - 46*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 2*k = -140. Let l be 8\/k + (-16)\/(-7). Solve -l*p + 4 = -2*u - 4, -14 = -4*u - 2*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-10 - (-8 + -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = c - 1. Let d be 2\/(-1 + c\/(-3)). Solve -d*r - 3 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 2) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 26 = 9. Let g = s - 18. Calculate the remainder when 48 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8, -16, -34, -68, -124, -208?\n\"Answer: -o**3 + o**2 - 4*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 11:18 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + 4)*((-105)\/(-6))\/(-7). Let f = -841 - -839. Is x bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2948)\/33)\/(1*34\/51).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-5))\/(22\/(-55))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a - 1 = -18*a, 3*j - 4*a + 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 7:03 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5267*a = 4*i - 10485*a + 5215*a + 54, 118 = -3*i + 10*a for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1646 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 0) + -7 - (39 + -59)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -27*g**2 - 3*g + 4. Let q be s(1). Let l be 2 + (-72)\/39 - 568\/q. Let m = -9 - -11. Solve -m = 4*x - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.77+5\nAnswer: 13.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11704)\/(-2508)*6\/7*1. Let c(g) be the first derivative of -2\/9*g**3 - 1\/18*g**d - 2\/9*g + 20 - 1\/3*g**2. Factor c(a).\nAnswer: -2*(a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -685929 or 2\/5?\nAnswer: -685929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**8\/2856 - 143*m**7\/1785 - 17*m**6\/60 - 29*m**5\/102 - 63*m**2 + 23. Factor p(g).\nAnswer: 2*g**2*(g - 145)*(g + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18\/29353 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 7 + 8. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2827 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 + 45. Let c(i) = 7*i - 5*i**2 + 28 + 6*i**2 + l*i**2. Is c(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-30)*(-826)\/(-7434)*((-140)\/6)\/7.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 - 24154734.025.\nAnswer: -24154733.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 19201, 29613, 40025, 50437, 60849, 71261?\n\"Answer: 10412*d + 8789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40543 is divided by 224.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 437 (base 16) to base 15\nAnswer: 4be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4873 is divided by 834?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -178 + 222. Let w(o) = -k*o + 13*o + 0*o. Let u(f) = -2*f**2. Give u(w(d)).\nAnswer: -1922*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -117, 14, -3, -11, -4 in increasing order.\nAnswer: -117, -11, -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -3*j + 63, 6*f - 21 = -j + f. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 7*v - 2. Let p be -1*(-1 - (-1 + 5)). Determine m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -20\/7*l**2 + 100\/7*l + 4\/21*l**3 + 12. Solve j(d) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22644, 22643, 22642, 22641?\nAnswer: 22640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*m + 12, -3*u = -2*m - 3 + 1. Let w(k) = k - 1. Let d(x) = -x**2 - 9*x + 9. Determine m*d(z) + 18*w(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84399, -168522, -252621, -336684, -420699, -504654, -588537, -672336?\nAnswer: -756039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 + 47\/2. Suppose 18 = -4*r - 0*o + o, -5*r + 5*o - 30 = 0. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/2)\/(-3))\/((24\/522)\/((-24)\/9))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 122*f**2 - 16*f**2 - 48*f**2 - 55*f**2. Let x(g) = -g - 1. Let l(m) = -75*m + 5. Let n(r) = -l(r) - 6*x(r). Determine n(a(k)).\nAnswer: 243*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*sqrt(95)\/sqrt(5) + -3 + (-3*sqrt(114)\/(1*sqrt(6)))**2).\nAnswer: -36*sqrt(19) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34\/151 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2209 + 3985. Suppose -i = -2*l - 597, -2*l - n = -3*i + l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - 6*sqrt(76)) + -1*sqrt(95)\/sqrt(5).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 20, -13, -82, -199?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -202915\/2056 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.025?  (a) -0.1  (b) -1\/9  (c) 3  (d) 2\/5  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30661882.\nAnswer: 2, 15330941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*w + 35198*w**3 - 35218*w**3 + 44*w.\nAnswer: -20*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -5 - 7784\/278\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*b - 9*z = 88, 3*b + 4*z - 18 = -3 + 9 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (7686\/(-2013))\/((-20)\/(-110))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1270 a factor of 18252440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -2\/17, 1\/4, -8, -1 in decreasing order.\nAnswer: 1\/4, -2\/17, -1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9126.058 nanometers in millimeters?\nAnswer: 0.009126058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12491 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9350 + 9349. Let v(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - j**3\/3 + 3*j**2\/2 + j. Let h be v(-4). Sort a, 8, 5, h.\nAnswer: h, a, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 4. Let k = 2133 + -2139.99991. Let z = k + d. What is z rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s - 5. Let n(u) = -2*u - 1. Let l(z) = h(z) + n(z). Let a(t) = 3*t - 17. Determine -4*a(p) + 11*l(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1085541 or -1085533?\nAnswer: -1085541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - m - 432 = 23, 5 = 5*m. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/(-4)*14\/(-4). Let k = p - -16. Suppose -5*w - k*r + 55 = -74, 0 = 3*w - 2*r - 87. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -216029 divided by -208?\nAnswer: 216029\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 117 and 176190690?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 3*b**2 + 6*b - 77. Let k(c) = 7*c**2 + 13*c - 156. Calculate 4*k(m) - 9*n(m).\nAnswer: m**2 - 2*m + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*g**3*k*l + 5*g**3*k + 2*g**3*l - 19*g**2*l + 18*g with respect to k.\nAnswer: 4*g**3*l + 5*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 + 2*s**2 - 2. Let w be q(2). What is the tens digit of 3*(w\/3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -73750000 to the nearest one million.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**4\/8 + 5*a**3\/3 + 4*a**2. Find the first derivative of n(q) wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12492441 - -18095930. Let n = t - 5603500.99999856. Let f = -12 - n. Round f to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 7:04 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 216070.7 millimeters in meters?\nAnswer: 216.0707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-17934)\/20923)\/(((-3)\/(-294)*-1)\/(1\/(-8)))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -65*(-32)\/(-240)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(6\/11))**(-7\/5)*(x**(-3\/5))**(2\/15) assuming x is positive.\nAnswer: x**(-617\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(156*b - 46 + 46).\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 8 + 9 - -32\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12168 is divided by 4050.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 20*c - 30 + 31)*(-3*c - 3*c + 4*c)*(3 - 6 + 4).\nAnswer: 36*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3\/q*q*q)\/(q\/((q*q\/(q\/(((q*q**(1\/2))\/q)\/q)*q))\/q))*q**(1\/23)*q**6*q assuming q is positive.\nAnswer: q**(393\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from kssskklalk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = o + n, 89*o - 2*n - 8 = 92*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**3 + 4*p**2 - p - 8. Let x(u) = u**3 + 3*u**2 - u - 7. Let q(l) = 2*t(l) - 3*x(l). Let k be q(0). Let v = 20 + -14. Is k greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -2 - 1) + -10 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + (1 - 1 - -6). Let g(b) = 0*b - 3 + 3*b + j + b. Let n(k) = k**2 - 21*k - 27. Let i be n(22). Calculate g(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, -4, -1, 15 in increasing order.\nAnswer: -4, -1, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 4. Suppose -d*c + 3*l + 28 = 0, 5*c - l + 6*l - 20 = 0. Suppose 2*s = -2, -2*y + 0*s + 253 = -c*s. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -537360 in -1, -1\/3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -879, -1675, -2471, -3267?\n\"Answer: -796*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 13. Suppose -25 = -k - 5*m, 2*m = 2*k + m + 5. Suppose 2*t + 23 = -3*d, -2*t - 2*d + 0 - 20 = k. Give z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 16 = -5*d - 21, -t = -5*d - 11. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -554*y**2 + 5641*y**2 - 836*y**2 + 2818*y**2 as d*y + f*y**2 + z and give f.\nAnswer: 7069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 732.986 rounded to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 168279683 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of y**6\/36 - 79*y**5\/30 + 151*y**4\/24 + 77*y**3\/6 - 6972. Find d, given that g(d) = 0.\nAnswer: -1, 0, 3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5  (b) 2  (c) 4\/145  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 f, and 1 k when three letters picked without replacement from {f: 5, v: 4, k: 7, x: 2, h: 2}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-5*2\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 228.\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/4*(96\/(-30) - 2). Solve a*c = 10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 1. Let p = -60 - -60. Let z(q) = -4*q + 5 + 6*q + 1 + p. Give -5*j(k) + z(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p + 9. Let u be x(9). Suppose u = 3*j - 313 + 1525. Let t = -195 - j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14170 (base 8) to base 6.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 247 by -9.\nAnswer: -247\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4616121431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -10. Suppose 2*c - w*c + 20 = 0. What is the smallest common multiple of c and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 1936*s + 61166. Determine m(-30).\nAnswer: 3086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 28*f**2 - 73*f + 437. Calculate r(30).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of 13*n**2\/2 - 3*n + 3. Let v be o(-1). List the prime factors of (-810)\/v - 3\/(-8).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2166451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n**3 + 3*n**2 + 2*n. Suppose -11*k - t + 1 = -10*k, 2*t = 2*k - 6. Let q(c) = c**3 + c**2 + c. Give k*q(b) - l(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 1\/3*s**3 + 4\/3 - s**2 + 0*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(-4)*1\/2. Let c be 12\/(-1)*i\/2. Let b = c + 16. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 24*u**2 + 5*u + 1. Let c be o(1). What is the highest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -248  (b) -1\/8  (c) 0.1  (d) 0.3  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.0062546 + -1\nAnswer: -0.9937454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 4 - 2*a + a)*(-2*a**3 + 0*a**3 + 0*a**3).\nAnswer: 8*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-308))\/(954\/(-371))*12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i - 1. Let l(a) = -3*a + 1. Give l(d) + 2*n(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 12*l - 51. Let t(k) = k + 3. Let o(b) = -2*j(b) - 14*t(b). Is o(-14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4611632373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, c: 4, d: 1, p: 2, i: 1}. What is prob of picking 3 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48696.79 + 45307021.\nAnswer: 45355717.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 146880 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + p. Let q be i(-5). Let b = -398217\/13423 - -4\/40269. Which is bigger: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -16, -28, -40, -52, -64, -76?\n\"Answer: -12*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1839876867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 5*z, 4*z - 33 - 23 = -4*u. Suppose 3*y + u = 4*y. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((40\/14)\/5)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 3, h: 3, b: 3, z: 1, p: 2, g: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/7337 and 67\/34104.\nAnswer: 8628312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 1415*c - 4008 - 4008 + 8016 as y*c + b and give y.\nAnswer: 1415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5*m**3 + 300*m**2 + 1378*m + 545. Calculate d(-55).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = 104 - 728. Let h be 108\/(0 - -2) + -2. Calculate the greatest common factor of h and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 766556.8nm in millimeters?\nAnswer: 0.7665568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3130983, -3131002, -3131033, -3131076, -3131131, -3131198?\n\"Answer: -6*a**2 - a - 3130976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24489, 49237, 74259, 99555, 125125?\nAnswer: 150969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1554.932 + 0\nAnswer: 1554.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 16*w**2 - 8*w - 69. What is the tens digit of a(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37047 divided by -4?\nAnswer: 37047\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 79, 140, 187, 214, 215, 184?\n\"Answer: -w**3 - w**2 + 71*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**3 + 0*o + 0 - 5\/24*o**4 - 1\/120*o**6 - 2*o**2 + 1\/10*o**5. Does 9 divide d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 25, -78, -271, -584, -1047, -1690?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c - 3. Let s be h(0). Let b(j) = -3*j**2 - 12*j - 4. Let d be b(s). Is 5664 - -4*d\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 493.7764 milligrams?\nAnswer: 0.0000004937764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*v - 1 = 1, 0 = -5*n - 5*v + 5. Suppose n*o - 200 = -5*a + 2*o, -2*o - 10 = 0. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/3))**20\/(v**(3\/7)*v**5))\/((v**(1\/2))**(-46)\/(v**(1\/3)*v**(-2))) assuming v is positive.\nAnswer: v**(158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7224 - 4161.92\nAnswer: 3062.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/105*-3)\/(11\/(-308))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p*p**7\/p))\/p*p)**(-3\/5))**(8\/7) assuming p is positive.\nAnswer: p**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 8 - 2)*(-z**3 - 3*z**3 + 2*z**3) in the form a*z + c*z**2 + j + n*z**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 144*j*m - 394*j - 244246*m with respect to j.\nAnswer: 144*m - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 10*b**2 - 36*b + 676. Calculate k(8).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8984296814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times -0.021703?\nAnswer: -0.151921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 6*o**2 + 3*o - 9. Let b be a(-5). Let p(i) = 5*i + i - 1 + i. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 8. Let l be 8\/2*((-3223)\/(-132) - 24). Which is the smallest value?  (a) 3\/2  (b) l  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9*w**2 - 50*w - 143. What is the lowest common multiple of u(-3) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -365664*g**3 + 182833*g**3 + 182835*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**3 - 9*l**2 - 144*l - 222. Let s(p) = -p - 1. Let v(o) = -d(o) + 6*s(o). Factor v(a).\nAnswer: -3*(a - 9)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -3) + -2 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -292*g**2 + 1199*g**2 - 1183*g + 2192 - 298*g**2 - 313*g**2 - 294*g**2 wrt g?\nAnswer: 4*g - 1183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**2 + 11128*b - 66912 = 0. What is b?\nAnswer: -2788, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30690*g**2*u**5 - 3*g**2*u**2 + 185961*g**2 wrt u.\nAnswer: 1841400*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.022 - 11.022. Which is the nearest to 7\/17?  (a) 5  (b) 2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*x + x - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33 + 0.934.\nAnswer: 33.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2614968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 430 less than or equal to 52\/12681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/791880 and 33\/69025540.\nAnswer: 414153240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13137\/1827 + -13 + (4 + -2)*3.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -2121?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6035, 24525, 55351, 98519, 154035, 221905, 302135, 394731?\n\"Answer: c**3 + 6162*c**2 - 3*c - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 8*i + 12. Suppose -11*z + 27 = -14*z. Let o be k(z). Let t be 9\/o + 232\/(-280). Which is the nearest to t?  (a) 0.2  (b) 2  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.08494 + -488.78494. Let f = 489 + d. Sort -7.2, f, 1\/6.\nAnswer: -7.2, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/94 and 79\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 10*i - 1. Suppose 4*c + 2*s - 33 - 45 = 0, -70 = -5*c + 3*s. Calculate the remainder when c is divided by w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1475290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-15)\/(-6))\/(1\/(-2)). Let j(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 3*s - 3. List the prime factors of j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 395*t**3 - 3487*t**2 - 18*t. Let a(j) = -296*j**3 + 2615*j**2 + 14*j. Let g(i) = -9*a(i) - 7*v(i). Find the third derivative of g(x) wrt x.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 23, -3\/5, 0.3, -95 in decreasing order.\nAnswer: 23, 1, 0.3, -3\/5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10884 or 10885?\nAnswer: 10885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 7*v**2 + 19*v. Let p(y) be the third derivative of y**5\/30 + 214*y**2. Determine d(p(n)).\nAnswer: 28*n**4 + 38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 16 = -2*t. Let k = -37 - -67. Suppose -t*c + 10 = -k. What is the remainder when 25 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/9965 or 1?\nAnswer: 2\/9965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*p + 6*p - 4*p)*(153 + 699 - 437) + p - 2*p + 4*p to h*p + k and give h.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 8*x - 3. Let h(r) = -9*r + 3. Give 5*h(p) + 6*j(p).\nAnswer: 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -589*i + 17284. Let t(d) = -197*d + 5745. Let r(n) = 4*s(n) - 14*t(n). Find the first derivative of r(v) wrt v.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3211)\/(-65) - (-3)\/5 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28342128 divided by 9447376?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1056196 = -4*y + 1798880. Suppose f + 291521 + 22243 = m, 3*f - 5*m = -941282. Let u = f + y. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 201202212?\nAnswer: -201202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9670, -19339, -28976, -38581, -48154, -57695?\nAnswer: -67204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 10*p**2 - 265*p + 7. Give k(7).\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 1000010021?\nAnswer: 1000010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -348*c - 42 + 32\/3*c**4 - 560\/3*c**3 - 2302\/3*c**2 = 0.\nAnswer: -3, -1\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32514 + -32512. Let r(u) = 1 + u**2 - u + u + u. Let b(f) = -2*f**3 - f**2 - 3*f - 1. Let d(p) = -b(p) - 3*r(p). What is d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/415656 and 53\/12578112?\nAnswer: 289296576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/2)\/(1*(-33)\/(-132))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7703892ml in litres?\nAnswer: 0.0007703892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r + 6*r + 17*r**2 + 35*r**2 - 115*r**2 + 40*r**2 - 1.\nAnswer: -23*r**2 + 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 945 and 222705.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 1171*m**2 + 6*m**3 + 1153*m**2 - 2297*m**2 - 15*m**3 to y + k*m**2 + n*m**3 + l*m and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 0 + 4 + 4*f + 1 + 2*f**2. What is the tens digit of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 3077 = 5*y + 2807 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 116933221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 9:38 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*r + 2765 = -22*r. Let t = r + -386. Solve -t*k = -10*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 89982 + -89981.909703. Round w to three decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417884 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + a**2 - a - 1. Let g(x) = -7*x**3 - 5*x**2 + 7*x - 5. What is g(j) + 5*p(j)?\nAnswer: -2*j**3 + 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -128 + 125. Let k = 0.7 - 0.2. Let g = -0.145 + -0.055. What is the smallest value in n, g, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26200 to the nearest one hundred.\nAnswer: 26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 3. Let t(y) = 11*y - 1. Let w be t(1). Calculate the smallest common multiple of (2\/(-4))\/((-1)\/w) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - 0.15. Let w = 0.25 - u. Which is the third biggest value?  (a) w  (b) 1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4691 is divided by 1560?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.33 and 137.\nAnswer: -45.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 229 and 2545106.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/(8\/(-292)) + (-33 - -25) is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 861.4665ns in milliseconds?\nAnswer: 0.0008614665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 2*g - 16, 5*h - 4 - 1 = 0. What is the least common multiple of 3 and (-80)\/12*g\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, l: 1, g: 1, v: 1, c: 1, b: 1}. Give prob of sequence al.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65\/(-40))\/(5\/4*22\/(-110)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/5425 and -61\/103075?\nAnswer: 103075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 4 - 10 - (187 - 90 - 84).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0  (b) -0.03  (c) -0.3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o - 16. Let u(h) = 2*h - 33. Let x(l) = -7*p(l) + 3*u(l). Let f be x(10). Solve 2*w = -c - 13, 5*w = c + f - 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 10*s**2. Let z be i(1). Find the third derivative of 6*d**2 - 10*d - d**5 + 7*d**5 + z*d wrt d.\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 44534 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1086.424 + -0.127?\nAnswer: -1086.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 1 + 4)*(0*f + 4*f - 2*f) + 67 - 67 + 22*f)*(-f - 7*f + 3*f) as d*f**2 + s*f + x and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + a - 1 + (1 + 3 - 6)*(-4*a + a + 2*a))*(3 - 108*a + 2609*a - 3).\nAnswer: 7503*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + b = -2*c + 6, 0 = 2*b. Suppose -5*a = 3*v - 0*v - 17, 3*v - 15 = -c*a. What is the remainder when 9 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0955682651 + 3710\nAnswer: 3710.0955682651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -858*h**2 - 1014*h + 33*h**4 - 3\/2*h**5 - 207\/2*h**3 + 0 = 0.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 0*h**3 + 2*h**2 - h**2 - 2 + h + h**2. Let g be b(1). Suppose -150 = -c + w, c + g*w - 145 = -4*w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5263232?\nAnswer: 2, 13, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 3*r - 18, 0*u - 4*u = 4*r + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 50.37 + -13.72. Let u = h + -37. What is u rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 4, k: 1, p: 2, n: 3}. Give prob of sequence npkx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 9*c**2 + 7*c + 21. Let b be s(-12). Let u = b - -96. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 3:14 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - 8*d - 7. Suppose -4*m = -4*c - 11 + 3, 0 = -5*c + 2*m - 19. What is the remainder when w(c) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2)*10\/60\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-12)\/(-80) + 3 + -4 and 115\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3467374, 3467375, 3467376, 3467377, 3467378, 3467379?\nAnswer: 3467380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42215 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-6)\/h*h)\/h**(2\/7) assuming h is positive.\nAnswer: h**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 6*a**2 + 1 + 4 + (-1 + 1 - 2)*(a**2 + 4*a**2 - 4*a**2).\nAnswer: -8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-21)*(-924)\/(-330)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(-10)*2 + -1. Solve u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212054*x**2 - 105983*x**2 - 106074*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/13050 and -91\/2490984?\nAnswer: 62274600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.0535*0.1\nAnswer: 0.00535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051428 a multiple of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {s: 1, e: 1, c: 3, t: 1, x: 3, o: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**5\/3 - 44*r**4 + 16255*r**3\/3 + 33550*r**2\/3 - 21668*r - 132088\/3 = 0.\nAnswer: -209, -2, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 3*w = -7, -5*c - 7*w = -8*w - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 8*v = -40. Let i = 25 - v. Suppose -l = -2*g + 131 + 6, 0 = -i*g + 5*l + 350. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-2)*(-114)\/(-171).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 634 is divided by 87?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -1\/93, -4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 14*m**2 - 10*m - 331. What is the tens digit of n(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.04 - -6.34. Let x = p - 4.1. What is the second biggest value in 2\/9, x, -7, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 - 2*z**2 + 5*z**2 + (-z + 4 - 4)*(0*z - z + 2*z) + (-z**2 + 0*z**2 - z**2)*(-11 + 3 + 0) to i + r*z**2 + h*z and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 7033?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pnaafnfnnnn. Give prob of sequence ffap.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 >= -1382882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -495 - -493. What is the units digit of (-4 - (-70)\/40)\/(l\/808)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - m - 611530 = -5*y, -4*m = 2*y + 489218. Let j be 4\/(-6) - m\/30. Let v = -4065 + j. Calculate the common denominator of v and 15\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 993*s**3 + 4*s**2 + 8*s - 1995. Let m(x) = 2*x**3 - x**2 - 2*x - 1. Let q(r) = 4*m(r) + w(r). Find the first derivative of q(g) wrt g.\nAnswer: 3003*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 431 by -178.\nAnswer: -431\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 70842 = -2*c + 3504, 0 = -k - c + 16833. Suppose -2*p - 5*g = -k - 14635, 0 = p - 4*g - 15715. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 43038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21775137 to the power of 1\/2, to the nearest integer?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1381 - 42817\/31. Let q = 2.9 - 0.9. Is q less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3982223, 3982235, 3982247, 3982259, 3982271, 3982283?\n\"Answer: 12*n + 3982211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 302100003012?\nAnswer: -302100003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 15246?\nAnswer: -15245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 + 11. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) -1\/4  (c) 0.1  (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45262896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q**2 - 5*q**2 + 3*q**2)*(11 - 12 - 11) to the form t*q + z + o*q**2 and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 11 = 1. Suppose -d + 2 - 5 = v*r, 4*r - d = -4. Does 14 divide 21 - (r + 3 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**3 + 10*o**2 + 3*o - 9. Let c be v(5). Let s(d) = 3236*d - 149. Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000055 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g**2 + g**2 - 4*g**2 + 3*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49973716?\nAnswer: 2, 13, 961033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of o**4\/8 - o**3\/6 - 30113*o**2. Suppose 2 + 4 = 3*a. Suppose 3*i - 2*v = -a, 3*v = -i + 4*i + 6. Determine w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1272284?\nAnswer: 2, 13, 43, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 8*i**2 + 1. Let w be r(1). Suppose 4*z = -z - 20. Let m = w + z. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-5))\/((-5)\/(-25)). Suppose -4*m + 9 = -w - 4, -3*m - 14 = 4*w. Let x(b) = -1. Let a(d) = d. Let l(c) = m*a(c) + 3*x(c). Give l(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by (-40 - -15)*((-1 - 1) + -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18422284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*p*q**6 + 2*p*q**2 + 394*p*q + 195*q**3 wrt q?\nAnswer: 360*p*q**3 + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.00863356343017 and -0.097.\nAnswer: -0.08836643656983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*o**3 - 3*o**3 - 2*o**3)*(19 + 14 - 46)*(-3 + 8 - 7) + (-2 - 4 + 5)*(2*o**3 - 3*o**3 - o**3).\nAnswer: 54*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 194, 386, 578, 770, 962?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (p**2 - p**2 + 2*p**2 + (0 + 0 - 1)*(1 - 1 + p**2))*(909 + 28567*p - 28567*p + p**2) as x*p**4 + i*p**3 + n*p + h*p**2 + k and give h.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 12:54 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/7 + 36*i**3\/7 - 66*i**2\/7 + 32*i\/7.\nAnswer: -2*i*(i - 16)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1234508.363 rounded to the nearest 10000?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of 2*z**3\/3 + 13*z**2\/2 + 12*z + 29. Let u = -18 + 9. What is the units digit of q(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(((-7)\/42)\/((-2)\/9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235282 is divided by 785.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*j - 52*j - 52*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 9, k: 7}. Give prob of picking 2 r and 2 k.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17*m**3*z - 60*m**3 - 17*m**2 + 637*m*z**2 - 7 wrt z.\nAnswer: 17*m**3 + 1274*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 60596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 508808 * 0.6\nAnswer: 305284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -3*q + 12162, 4867 = -2*f + 4*f - q. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 (base 8) in base 14?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 PM and 9:10 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 10:35 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 8 + 9 + -18 + 9 + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**3 + 6*u**2 + u - 3. Calculate the lowest common multiple of i(-2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000913 rounded to five dps?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bbbbbmbmvmbmm.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*u**2 - 144*u**2 + 214*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**2 - 3*f**2 - 3*f**2 + (1 + f - 1)*(-4 + 4 + 4*f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z = 5*z + 1672. Let t be 19\/(z\/24) - -6. Solve w + t + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 4*i**2 - 2*i - 3. Let n be z(-4). Suppose 4*q = 3*o + 6*q + 7, n*q + 24 = -o. Let s = o + -6. Sort s, 1, -1 in decreasing order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l = -11 - 199. Let v = l - -38. Find the third derivative of 10*n**4 + v*n**4 - n**4 + 6*n**2 + 12*n**2 wrt n.\nAnswer: 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 79, 4.\nAnswer: -5, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -27, -41, -73, -129, -215?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3 + 4*k**2 - 238*k - 1176.\nAnswer: 2*(k - 12)*(k + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/4 - 41*k**3\/4 + 191*k**2\/4 + 501*k\/4 + 135\/2.\nAnswer: -(k - 6)*(k + 1)**2*(k + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 4.96. Let q(c) = 3 + 2*c + 4 - 4. Let h be q(-4). Sort h, r, -2 in decreasing order.\nAnswer: r, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zxzxpxxxvfpxzvvfvnf. Give prob of picking 1 z, 1 n, and 1 p.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 1:56 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from resbeeberesebsrreb. Give prob of sequence ee.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -11\/3, -0.2, 3.753, 0, 2 in ascending order.\nAnswer: -11\/3, -0.2, 0, 2, 3.753, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*u + 76*u = 238*u + 696 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - -133. Calculate the greatest common factor of s and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 14 = -96. Calculate the remainder when 63 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1684\/5845 - 2\/835. What is the third smallest value in -6, -4, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -123550444 (base 6) in base 2?\nAnswer: -1001010000000010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q - 1. Let z(a) = -714*a - 34. Determine -34*r(i) + z(i).\nAnswer: -646*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*m**4 + 3*m**4 + 0*m**4 + (4*m**2 + 3*m**2 - 5*m**2)*(-2*m**2 + 2*m**2 - 2*m**2) - 5*m + 5*m - 2*m**4 - 2*m - m**4 + 2*m + m**4 - 2 + 5 + m**4.\nAnswer: -7*m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*s - 13*s + 16*s in the form k + d*s and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -19*w**2 + 1. Let s be n(2). Let k be (5\/s)\/((-72)\/(-4315)). Let x = 64\/27 + k. Calculate the common denominator of -23\/2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**8\/a)\/a**9)\/((a\/(((a\/a**10)\/a)\/a)*a)\/((a\/(((a\/(a*a\/a**(-14)))\/a)\/a))\/a)) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, b: 1, u: 1, q: 7, e: 3}. What is prob of sequence qer?\nAnswer: 49\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 1 - (0 + 2 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + w + 3*w)*(3 - 2 - 3) + w + 3*w - 2*w - 3 - 2*w + 0 + 5 to the form z*w + a and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 14\/3*28\/10*(-480)\/(-1408)*-11\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1112 and 14?\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2*b + 16 = -45, 4*j = 5*b + 59. Suppose -5*g + 4*t + j = 0, 0*g - 4*t - 20 = 4*g. Are g and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, i: 7, a: 3, u: 4, h: 1}. Give prob of sequence ai.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -348980000 to the nearest 1000000.\nAnswer: -349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 224 - 163.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 568*t - 30 - 53 - 6 - 406*t. List the prime factors of m(7).\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53*0.023636.\nAnswer: 1.252708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -209 - -1883\/9. Let l = 21.2893 + -20.9893. Which is the fourth biggest value?  (a) y  (b) -0.5  (c) -2\/3  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-5))\/(-2)*(161700\/98)\/30\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(-2\/13)*b)\/((b*b*b**(-13\/3)*b*b*b)\/b))**(13\/2))**(1\/24))**(-2\/3) assuming b is positive.\nAnswer: b**(-23\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-6)\/5))\/((-50)\/420).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225 - (-48)\/8 - (1 - 1) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*j**2 + j**2 - 12*j**2 - 4.\nAnswer: 6*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -35*h**4\/24 + 349*h**3\/6 - 1659*h**2. What is r(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-10\/11)*z*z\/(z\/z**31)*z*z*z assuming z is positive.\nAnswer: z**(375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5033209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -26*p**2 - 3*p - 8. Determine b(-2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 10, e: 1, d: 4, v: 2}. What is prob of picking 2 v and 1 b?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (-28)\/(-3)*72\/(-48)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f**2 + 193*f - 2901. Let t be p(24). Let q(b) = b + 1. Let g(r) = 7 + 5*r + 4*r**2 - 2 + 0. Give t*q(v) - g(v).\nAnswer: -4*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 14225 - 0?\nAnswer: 14225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 183*c + 12067 = 179*c, 2*j - 3*c - 4831 = 0. Solve -36 = -2415*q + j*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {g: 8, c: 5, l: 3, m: 3, z: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/23202 and 22\/39959.\nAnswer: 719262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u**2 - u + 4. Let y(n) = 9*n**2 + n - 8. Calculate 5*q(z) + 2*y(z).\nAnswer: -2*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -23460.\nAnswer: 9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -53 + 65. Let l(s) = -s**3 + 12*s**2 + 5. Let h be l(c). Determine o so that -1\/5*o**3 + 0*o**2 + 0*o - 1\/5*o**h + 0 + 2\/5*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/(-20) + (-799)\/4. Let w = 1067 + y. Calculate the common denominator of -67\/6 and w\/264 + 3\/(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**3 - 96*b**2 + 551*b - 693. What is c(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 398  (b) 115669  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from llhhlh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (39*6\/18)\/(1 - 0). Suppose -p - 3 = -o + 6, -p - f = -2*o. Solve -o*s = -2*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 65016080 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 3*r**2 - 8951*r + 5966 = 0.\nAnswer: 2\/3, 2983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 1687647.\nAnswer: 1\/562549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*t + 6*t + 2*t - 49*t as u + h*t and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -374*a + 387*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -9. Suppose -4*j + v + 11 = 0, w*v = 3*j - 0*j - 12. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3566585, -7133237, -10699889, -14266541?\nAnswer: -17833193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*d**2 + 5*d**2 - 5*d**2 + (0 + 0 + 2)*(-2*d**2 - 2*d**2 - d**2) - 62 - 26*d**2 + 62.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + -0.3. Suppose -19*v + 63 = -18*v. Let s be (3\/(-4))\/(v\/(-28)). What is the nearest to s in -1, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7317720 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11039765 and 99?\nAnswer: 99357885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45391*d**2 + 15477*d**2 + 14919*d**2 + 14952*d**2.\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72842 and 6853924.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 2263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 5*h**3 + 15*h - 18*h.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 142*t**2 + 434*t\/3 + 8\/3.\nAnswer: 2*(t + 1)*(213*t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5869, 5867, 5867, 5869, 5873?\n\"Answer: y**2 - 5*y + 5873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234041*k + 3*k**3 - 26*k**3 + 234041*k - 71*k**3.\nAnswer: -94*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -9. What is the remainder when 26\/6 - o\/(-18) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 69*w = -42458. Put w, 0, -1, -2 in descending order.\nAnswer: w, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 156 and 1482.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1444510 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002939123 to 5 dps.\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w + 4. Let v(d) = -21*d + 27. Let y(s) = 27*p(s) - 4*v(s). Let k(l) = 3*l. Give -2*k(n) + 3*y(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 6*n**3 - 32*n**2. Let f(q) = -2*q**3 + 11*q**2. What is -8*f(w) - 3*z(w)?\nAnswer: -2*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-7) + 1419\/645\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((81\/(-60))\/9)\/((-93)\/124).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, a: 2, g: 6}. Give prob of picking 1 a and 3 x.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173978*t**2 - 48456*t**2 + 51574*t**2.\nAnswer: 177096*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1788 a factor of 275883036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*g - 3. Let w(r) = 15*r**3 + 2*r**2 - 2*r + 1. Let i be w(g). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (192\/(-300))\/8*(-170)\/102\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 51\/9 + (-20)\/30. Let q be (-4)\/14 + 11710\/70. Suppose q = 3*v + g. Is 46 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 486 = -11*p + 197*p - 2304. Let i(u) = u**3 - 14*u**2 - 14*u + 30. What is i(p)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, b: 2, x: 1, y: 1, p: 1}. Give prob of picking 1 b, 1 x, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.23669 grams to tonnes.\nAnswer: 0.00000523669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46\/3*((-474)\/(-24))\/(-79)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r - 5. Let q(t) = -2*t + 6. Let a(w) = 6*d(w) + 5*q(w). Suppose 0*p + 5*p + 15 = 0, -4*j + 4*p + 32 = 0. Let u(f) = -f + j*f + f. Give a(u(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 29 - (83 - (-140 + 101)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13015 less than -3?\nAnswer: -3.13015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 370097 > 370097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -4\/3, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -7*k + 51. Let l be 4\/k + 2665\/(-369). Let v(b) be the second derivative of b**3\/6 + b**2 + 10*b. Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k + 22 - 3*k - 12. Let v be u(7). Factor -2 - 4*l + 2*l - l**3 - l**2 + v + 3*l.\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 12*k**2 + 53*k - 8. Let m(v) = 6*v**2 + 24*v - 4. Let f(d) = 4*i(d) - 9*m(d). Let z(u) = -5*u**2 - 3*u + 4. Give 3*f(n) - 4*z(n).\nAnswer: 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of g**7\/1260 - 7*g**4\/24 - 4*g**2. Let q(j) be the second derivative of o(j). Let u(k) = 3*k**2. Give q(u(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 32436*j**3 + 25*j**2 + 64*j - 5. Let t be f(-11). Round t to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2428492*y**3 - 1707*y**2 - 1707*y. Let i(d) = -2847*d**3 - 2*d**2 - 2*d. What is -2*h(k) + 1707*i(k)?\nAnswer: -2845*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(17) + 2 + -2 + sqrt(17) + -3 + ((3*sqrt(136) - sqrt(136))\/sqrt(8) - (-1 + sqrt(17) + 4)))**2.\nAnswer: -12*sqrt(17) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*g + 4, 0*u + 2 = -2*u. Suppose -3*w - 107 = -0*k - 5*k, -k - g*w = -26. What is the greatest common factor of k and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 926 and 732003?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - -114. Calculate the remainder when z is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3570.99991529 - 3571. Round y to 6 decimal places.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12 - ((-6)\/6 - -6) - 11. Which is smaller: d or -92\/35?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 562118461 and 13934?\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1775834 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 8*c + 6. Let a(p) = p**3 - 9*p - 6. Let f be a(-3). Let z(w) = 15*w + 11. Let l(y) = f*z(y) + 11*x(y). Let q(s) = -91*s**2. Determine l(q(g)).\nAnswer: 182*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**5\/60 - 5*n**4\/24 - 2*n**2. Let i(v) = -2*v**2 + 5*v + 1. Let m(s) = -3*d(s) - 2*i(s). List the prime factors of m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-9))*(d*d\/(d\/(d*d**(1\/14)))*d)\/d)\/(d**(1\/2)\/d*d*d*d)**(1\/4)*(d**4\/d*d*d*(d**(1\/3)\/d)\/d)\/(d**(1\/3)*d\/(d*d**(-5))) assuming d is positive.\nAnswer: d**(473\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 2254758?\nAnswer: 2254757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5020392 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 4, p: 3, q: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*r - 4*r - 4*y - 22, -3*y = -2*r + 19. Solve -2*a = a - r*c, -3*c = -3*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 37 = 206*l - 395, 0 = 19*l - 21*l + 4 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1425142828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6513 (base 16) in base 10?\nAnswer: -25875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2202020100 (base 3) in base 13?\nAnswer: -1b82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-3*(-3*sqrt(448) + 4 + 3 + sqrt(448) + -2*sqrt(448))*-1)**2.\nAnswer: -64512*sqrt(7) + 1039248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1584\/(-81) - (-176)\/(-72)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 325, 1227, 2733, 4843, 7557?\n\"Answer: 302*d**2 - 4*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216 = 11*h - 3*h. Calculate the remainder when 76 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 28 and 10064?\nAnswer: 70448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2555112 = -41*z + 2552980 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -66, -133, -200, -267?\n\"Answer: -67*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hqhqhhhq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + m - 12. Let o be j(-4). Let r(f) = -f - 4. Let v be r(-6). Suppose w - v - 10 = o. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of i**4\/12 - 2*i**2. Let x be n(1). Suppose x*y + 3*l = 133, 4*l - 2*l = -2*y + 138. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 812 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -33.557 to one decimal place.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of k**5\/60 + 3*k**4\/8 - 25*k**2. What is q(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 4. Differentiate 2*h**2 - 2 - p*h**4 - 2*h**2 + 1 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28432823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(156)*-3 - sqrt(156)) + (-1*sqrt(156) + sqrt(156))*-4)\/((sqrt(132) - (sqrt(132) + sqrt(132)*-2*-1))\/(sqrt(99)*-6)).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -142 != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2412321 (base 5) in base 7?\nAnswer: 244232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*g + 3*g - 45*g)*(-2 + 4 + g + 4)*(63 - 63 + 5*g**2).\nAnswer: -150*g**4 - 900*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 3.4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22\/26 - (-2)\/13. Sort -3, k, 4 in increasing order.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*h + 2*h - 5*h)*(2 - 3 + 3) - 1617 + 812 + 155*h + 805 in the form o*h + u and give o.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 12 - 4*t + 3*t + 2*t. Let r(z) = 105*z - 264. Let o be r(8). Suppose 33 = -87*y - o. Calculate p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**3 - 8*r + 5. Let o(z) = -5*z**3 + 7*z - 4. Let l(c) = -6*a(c) - 7*o(c). Is 7 a factor of l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 139*a - 440*a**2 + 128*a - 274*a to j*a**2 + v + o*a and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3218405147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 5*r - 19 + 22, 0 = -4*r - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8145961636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 350 and 35350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 8:04 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-14)\/s)\/s)\/s)**(-28)\/(s\/(s*s**(-2\/9))*(s**(12\/11)\/s)\/s) assuming s is positive.\nAnswer: s**(47192\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5879*u**3 - 3*u**2 - 3*u - 36. Let i(r) = 17638*r**3 - 8*r**2 - 8*r - 96. Determine -3*i(q) + 8*p(q).\nAnswer: -5882*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 1.511879?\nAnswer: 1.511879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**11\/166320 + z**9\/15120 - z**7\/2520 - 7*z**5\/60 - 8*z**2. Let g(t) be the third derivative of b(t). Factor g(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1394763 and 582?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -701 or -2139\/4?\nAnswer: -2139\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 24. What is j(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.7 - 0.3. Let w = -1991 + 5905\/3. Let o = 23 + w. What is the second smallest value in l, o, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -6214112 and -6214109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 1996366722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2. Let r(c) = -c. Suppose 0 = 3*f - 0*f - 3. Let m be -1*1\/(f\/(-2)). Calculate m*r(g) + y(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(19) - (sqrt(19) + (-1*sqrt(19) - sqrt(19)) + sqrt(19) + 3)) - 4*1*sqrt(1900))**2 + (sqrt(1539)*-2 + 3)**2*-6*2.\nAnswer: -33452 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5214 = -231*d - 1287 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72687.89 millilitres to litres.\nAnswer: 72.68789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20101 (base 6) in base 13?\nAnswer: -1273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2404576914 to the power of 1\/2, to the nearest integer?\nAnswer: 49036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2122306 and 68876?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from mpvpvhmiw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - r + 5. Let u be o(-3). Let q be (7 + -8)*u\/(-2). Suppose -1 = z, z + 0*z + 1 = -5*d. Is q less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (125 - (4 - 1)) + (1 - 3). Let n = m + 57. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 4.9  (c) 0.1  (d) -62.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**2 + 4*o - 14. Suppose 4*j = -j + 5*u - 90, -u - 62 = 3*j. Let n(p) = -11*p - 54. Calculate the remainder when n(j) is divided by w(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -91 divided by 24492\nAnswer: -7\/1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*x - 3*x - 3*x)*(0*x + x + x)*(1 - 4 + 0)*(-1 + 4 + 3) to h*x + z*x**2 + s and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*z - 12 = 0, -2*w - 5*z = -0*w - 15. Solve -3*n - w*v + 3 = 0, -3*n + 3*v = -2*n + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1139486077 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -58, 1740.\nAnswer: -58, 3, 1740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6*k**2 - 5 + 1 - k - 3. Let l(x) = -x**2 - 8*x + 13. Let o be l(-9). Let u(b) = -5*b**2 + b + 6. Determine o*c(h) + 5*u(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 10*i - 18. Let v be s(-7). Suppose -3*m = 7*w - 4*w - 336, -5*m = v*w - 342. What is the remainder when w is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17535334, 17535338, 17535342, 17535346, 17535350, 17535354?\nAnswer: 17535358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -58007  (b) -1\/5  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0573869 or 1?\nAnswer: -0.0573869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7804 = 189*f - 244 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 9:58 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o - k = 22, 3*o + 2*k + 34 = 0. Let t be (33\/(-55))\/((-2)\/o). Let z(c) = -8*c - 3. What is the units digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -38*m - 17. Let t(u) = -19*u**2. Calculate t(a(b)).\nAnswer: -27436*b**2 - 24548*b - 5491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, r: 4, a: 3, o: 4}. What is prob of sequence aoz?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + 911 = 114*f + 3800 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b + 32. Let d be q(15). Suppose -5*r + 20 = n + 4*n, 0 = -5*r + d*n + 34. Solve o - r*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -385367, -1541630, -3468735, -6166682, -9635471?\n\"Answer: -385421*b**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -253*j + 17*j**2 + 155*j + 98*j.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of t**2\/2 - t + 415. Let p(n) = 8*n. Calculate p(c) - 5*r(c).\nAnswer: 3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -1. Let y = 6 - t. Sort y, 0, -2 in descending order.\nAnswer: 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-9 - (7 + -12)) - -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 4*p - 3*p + 55, 0 = 4*p - 4. Sort -5, b, 8 in decreasing order.\nAnswer: b, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79777942 to the nearest integer?\nAnswer: 8932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Does 1039 divide 62631145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 73 + -55. Suppose 2*o = -o - 15. Let s = w - o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 - -66 - 64) + 59.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 261 and 11666457.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -0.2, 231\/19, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*w + 2*w - 454, -c + w + 230 = 0. What are the prime factors of c?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -69 + 68.9. Let q = 11.1 - 11. Let t = -88\/15 - -17\/3. What is the nearest to r in q, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -41, 301, 5.\nAnswer: -41, -29, 5, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -51. Let k(h) be the first derivative of h**4\/4 - 2*h**3 + 2*h**2 - h + 1. Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-5)\/10*12\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k + 26. Let p(v) = -2*v + 13. Let x(i) = 3*b(i) - 5*p(i). Let c be x(-10). What is the first derivative of -9*f**4 - 3 - 1 - c - 2 wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -11\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 89 + -4830947?\nAnswer: -483087a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 0*h**4 + 0 - 2\/15*h**5 - 24*h**2 + 0*h + 0*h**3. Let g(a) be the second derivative of a**4\/6 + 3*a. Calculate g(n(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*c = 2*h + 20, 3*h - c + 4 = 0. Suppose -6 = -3*r - h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16668*y + 543489 = -2073*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9277 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2449*h**3 + 110822*h**2.\nAnswer: 14694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64 - 41. Let m(z) = -12*z**3 - z**2 - z. Let l = 5 - 6. What is the remainder when x is divided by m(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -26*v - 105. Let a be u(-4). Which is smaller: -3\/779 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4817*k**2*q - 2*k*q + 3*k + 2*q - 3 wrt k.\nAnswer: 9634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/11)*w**17)**44 assuming w is positive.\nAnswer: w**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*(1 + (-2)\/1). Let a = 14 - 9. Suppose -3*o + o = 5*s - 35, h = -a*o - 5*s + 50. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359025.3g in milligrams?\nAnswer: 359025300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s + 3. Let g be c(3). Let d be (g - -5)*(2 + 0). Let u be ((-90)\/7)\/((-1)\/7). What is the greatest common divisor of u and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-8)\/4)\/30?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 553, 201, -149, -497, -843, -1187?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**5\/60 - 3*d**2 - 6*d. Let f(w) be the first derivative of v(w). Let o(u) = 1 + 2*u**2 - 1. Calculate o(f(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 540462 and 39546.\nAnswer: 1621386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 57653070 to the nearest integer?\nAnswer: 7593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 5. Suppose -y = -i*j - 37 + 7, 0 = 3*y + j - 40. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + 8*o**2 - 4*o**2)*(-4*o**3 - 5 + 5) + 28*o**5 + 4*o**5 - 119*o**5.\nAnswer: -107*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -205\/4308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -280829891 rounded to the nearest one million?\nAnswer: -281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228*h + 158 - 304 + 0*h**2 + 146 + h**2.\nAnswer: h**2 + 228*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*a - j - 3*j, 3*j = 3*a - 12. What is the smallest common multiple of 300 and a?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3715?\nAnswer: 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i - 6. Let j be c(0). Let y(b) = 5*b + 8. Let q(l) = -2*l - 3. Let u(s) = 8*q(s) + 3*y(s). Let d(a) = -5*a - 2. What is j*u(f) + d(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 29940, 119762, 269466, 479052, 748520, 1077870?\n\"Answer: 29941*g**2 - g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12, -3, -1.1, 29, -14, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11021322 - -221?\nAnswer: -11021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 0, 1877, 49, 3, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -690b (base 13) in base 5?\nAnswer: -432324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**3 - 18016*j - j**3 + 9016*j + 9000*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*t - 53*t + 2524 = -23813 + 4533 for t.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 7:32 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 12:44 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0*r - 26 = r, -4*w - 3*r + 36 = 0. Let i = w + 1. Solve 3*o = -u + 1, -2*u + 3*o - 5 = -i*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 101 = 207. What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -803, -3162, -7101, -12626, -19743, -28458, -38777?\n\"Answer: -y**3 - 784*y**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 5*k + 5*c + 19, 5*k - 2*c - 26 = 0. Suppose -k*x + 3*x - 23 = 0. Is x bigger than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -2\/59, 0.2, 0.07, 0, 5?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 - 24. Solve g - 3*r = -8, -r + q = 4*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((44\/55)\/((-6)\/30))\/(1*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 5 = -y, -3*y + 75 = -2*t. Let g be (-22)\/88 - t\/(-8). What is the hundreds digit of 12\/((-4)\/76*(2 + g))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -1  (c) 4  (d) -138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 56 + -26. Let r be n*(3 - (-20)\/(-8)). Solve -5*p = 3*y - r, 0*y + 4*y = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 2657.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/5)\/(p*p\/p**(-4)))\/(p**1*p**8))**(4\/21) assuming p is positive.\nAnswer: p**(-292\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -5*g + 36. What is the units digit of (g\/9)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**3\/7 - 3309*f**2 + 4863240*f\/7 = 0.\nAnswer: 0, 216, 7505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eelll. What is prob of picking 3 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 889660750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 6 - 1318*r**3 - 14.\nAnswer: -1318*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 349334\/41643 - -1\/9254. Suppose 0*p + 2*b = -3*p + 1, 0 = -4*p + b + 5. Calculate the common denominator of j and p\/35*(-355)\/2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of v**6\/120 + v**5\/60 - v**4\/12 - v**3\/2 + 11*v**2. Suppose -4*i + 0*i - 3*b - 23 = 0, 10 = 5*i - 4*b. Determine o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -454166*g + 581854*g + 812623*g.\nAnswer: 940311*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3312, 11357, 24760, 43521, 67640, 97117, 131952?\nAnswer: 172145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2027.0094 - 2027. Round o to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2*j**2 - 7*a**2*j - 4*a**2 + 11*a*j**2 - 2*a with respect to j.\nAnswer: -4*a**2*j - 7*a**2 + 22*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -117.2958954 - 110.\nAnswer: -227.2958954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1652 is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4368 divided by -56\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 5*y + 2. Let q be g(-3). Let p = 16 + q. Does 8 divide ((-6)\/9)\/(1\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*u - 27*u = -4*m - 40, 4*m - 4 = 0. Suppose 10*z = 8 + u. Solve -4*l + 18 = -2*d, 2*l - 5*d = 18 + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n + 49. Determine h(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = g + 3, -5*g + 3 = -6*g + 2*n. Let m = -3 - -1. List the prime factors of -17*(2 + g) - m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 8*w**2 - 3*w + 3. Let g(j) = -9*j**2 + 2*j - 2. Let m(k) = -4*g(k) - 3*u(k). Let l be m(1). Let o = l + 16. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5 and 391.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhzhz. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 14\/(-63) + (-83)\/(-9). What is the common denominator of (a\/(-24))\/((-3)\/110) and -77\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21 - -21)*(-2)\/(-10). Solve a = 5*b + b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + 93797*h + 36 - 93815*h + 0*h**3 - 15*h**2. Let x be s(16). Solve -6 = -4*z - x*m + 2*m, z - m = 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35756 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(75) + 1 - (2 + -1*sqrt(75))) + 4.\nAnswer: 6 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 4:26 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 65\/468*(3\/24)\/(5\/12).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 788487736 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) -3015\/8  (c) -3  (d) 1  (e) -2\/9  (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1187417, 1187414, 1187411, 1187408?\nAnswer: 1187405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 405 = 4*n + n. Calculate the remainder when n is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11097941839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 - 31. Suppose 22*y - j = 17*y. Suppose -2*m + 32 = -y*p, 3*m + p + 0*p - 27 = 0. Is 8 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 - 19*b**3 + 33*b**2 + 511*b + 245.\nAnswer: -(b - 5)*(b + 7)**2*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04*-127370.\nAnswer: 5094.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 502718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + b - 13 = -0*b, -5*w - 3*b + 19 = 0. Let i(g) = 480*g + 1. Let f be i(w). Let h = 1461 - f. Round h to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.73 - 59.73. What is the closest to 1 in 0.4, h, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 4. Let x(g) = g**3 - 3*g**2 - 4*g**2 + 0 - h*g + 3 + 2*g**2. Is x(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*k + 18 + 2 + 74*k + (-1 + 1 - k)*(1 - 4 + 4) + (-3*k + 4*k + k)*(-5 + 3 + 0) - 1 - k + 1 - k + 2*k + 0*k as q*k + f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1014427 (base 10) to base 8.\nAnswer: 3675233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7124*i**3 - 16544*i**3 + 292*i**3 - 10971*i**3.\nAnswer: -20099*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 9)*(4 - -1). Let h(j) = 475*j - m*j**2 - 475*j. Let f(y) = 4*y**2. Give h(f(r)).\nAnswer: -720*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + 10. Let u be -35*(n\/20)\/(-2). Calculate the greatest common divisor of u and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2 - 2*q + 2. Let s be h(1). Put s, 7, -4, 5 in descending order.\nAnswer: 7, 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(175) + 0.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, -7\/2, -5, -6\/7, -50?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -6*z**2 - 5*z. Let p(f) = -16*f**2 - 12*f. Let y(n) = -12*i(n) + 5*p(n). Let b(r) = 3*r + 0*r + 3*r. Calculate y(b(s)).\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 960\/9 - 1\/(-3). Is 17 a factor of w\/3 + (-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -1\/3*a**4 - 4*a + 2\/3*a**3 + 0*a**2 + 0. What is the second derivative of i(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of t**5\/60 + 5*t**4\/12 - 47*t**3\/3 + 155*t**2. Let y(k) be the first derivative of a(k). Let s(v) = 2*v**2. Determine s(y(c)).\nAnswer: 8*c**2 + 80*c + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/68)\/(4\/(-4)*1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 7*d - 11. What is y(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66\/35 + 16\/7. Let d(j) = -j**2 - 3*j + 4. Let m be d(-4). Is m at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.7270082 millennia?\nAnswer: 72.70082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17672 is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbc when three letters picked without replacement from {b: 2, c: 3, h: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away -553626?\nAnswer: 553630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 2, -8, -22, -40?\n\"Answer: -2*s**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*z + 21, -8*z - 5*s = -7*z + 27. Which is the nearest to -2?  (a) -2\/15  (b) -0.1  (c) 3  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 3*n = 3*t - 34, 0 = -t + 2*n - 7. Let p = 342302\/15 + -22820. Which is the second smallest value?  (a) t  (b) -8  (c) -4  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1189286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-4) - (-4 + (-9)\/(-4)). Suppose -s + 115 = -2*s - 2*p, -d = -p. Let o = s - -128. Calculate the lowest common multiple of 12 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + ((-17238)\/(-170))\/(1\/5). What is a rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*b - 91*b**2 + 9*b + 49*b**2 - 112*b**3 + 46*b**2 wrt b.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -469 - -1301. Let o = -809.65 + k. Let g = -22 + o. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18394, 36772, 55150?\nAnswer: 73528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-122)\/5 - (-12)\/30. What is the remainder when 62 is divided by c\/(-10)*120\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83.28 + 50.298. Let i = s + 33. Round i to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/5064 and -143\/18.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 882 and 882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -m**7\/735 + m**5\/70 - m**4\/42 + 2*m**2 - 7*m. Let z(y) be the first derivative of p(y). What is l in z(l) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -850*j + 364*j + 404*j - 5166 = 0 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 + -29 + (15 - 20) + 27 + -9.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.89835 - 0.10165. Sort 3\/31, h, 5 in decreasing order.\nAnswer: 5, 3\/31, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*u + 77. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 892, 1786, 2680, 3574?\nAnswer: 4468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -2*g - 1, -g + 6 = -4*q + 2*g. Let x = 11\/2 + q. Which is the nearest to 0.1?  (a) 2\/11  (b) 5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -59*n - 109. Let o(l) = 176*l + 342. Determine -16*m(a) - 5*o(a).\nAnswer: 64*a + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -2*p**2 + 18*p = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -52. Let j = -41 - g. Which is the fourth smallest value?  (a) 5  (b) -1\/3  (c) -0.11  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**5 + 34*k**4\/5 + 18*k**3\/5 - 82*k**2\/5 - 32*k\/5 + 24\/5 = 0 for k.\nAnswer: -1, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 960.9207 hours in microseconds?\nAnswer: 3459314520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 638\/33 + (-1)\/(-3)*2. Suppose 0 = 5*u - 0*u - b. Suppose 372 = u*d + 96. What is the highest common divisor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 6. Suppose -4*b + 5*g + 44 - 10 = 0, 2*g + 28 = a*b. Let t be (-16)\/b*(-1 - 3149). What is t rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(51)*1)\/(sqrt(24)\/sqrt(2) - sqrt(3)) - (sqrt(833)*6 - ((sqrt(102)*-1)\/sqrt(6))**2).\nAnswer: -47*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2. Let g(v) be the first derivative of 8*v**3 - v**2\/2 + 684. Determine g(d(i)).\nAnswer: 24*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 4, -5, -141, 70.\nAnswer: -141, -15, -5, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 - 17*b**2 + 18*b + 10. Let k be y(-18). Let p = k + -9. Let z(g) = -6*g + 113. Let l be z(19). Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2365 times 0.39?\nAnswer: 922.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v - 110. Let m(j) = j + 111. Calculate 3*k(w) + 2*m(w).\nAnswer: -w - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3) + 13\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*(-2*i**3 + i**3 + 2*i**3) + (1 - 3 + 1)*(-7845*i**2 + 7845*i**2 - 171*i**3) - 3*i**3 + 3*i**3 - i**3.\nAnswer: 172*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3383113 times 1\nAnswer: -3383113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 196850 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -50 smaller than 0.48429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 0, 4, -3 in increasing order.\nAnswer: -3, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -34, -62, -112, -190, -302?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1220802440.\nAnswer: 2, 5, 11, 13, 19, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/4 and 2\/4 - 221\/306?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of b**4\/4 - 4*b**3\/3 - 437*b - 360. Find the first derivative of z(i) wrt i.\nAnswer: 3*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 160839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12\/7 in -63, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6333431*v - v**4 + 1094*v**3 - 6333431*v - 2*v**4 + 3*v**2 - 3*v**2 + (0 - 2*v**4 + 0)*(0 - 2 + 3).\nAnswer: -5*v**4 + 1094*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 9*i - 1363 = 12*i, -s + 332 = i. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -230310 (base 4) in base 16?\nAnswer: -b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/158 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/6 - 12\/18. Let i = p - 1. Let w = 2\/25 + 17\/100. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 117 - 68. Let t = j - 54. Let x = 3 - 7. Which is the biggest value?  (a) t  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -10) + -46 + (-6 - (-6 - 8))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15690119?\nAnswer: 15690119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6502, -52, 4 in descending order.\nAnswer: 6502, 4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1383 + 1382.98. Suppose -2*m + 2 = -4. Which is the nearest to r?  (a) -2\/11  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -3. What is the first derivative of z + 5*z - 1 - d*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4495567 = 49*t - 821547. Round t to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -28. Let s be 4232\/72 + 2\/d. Let o = s - 19. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 4*y**3 + y**2 - y. Let u(m) = m**2. What is -2*r(d) + 4*u(d)?\nAnswer: -8*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8\/7, 1.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = l + 5*g - 8, 3*l + 2*g = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - p + 2*p)*(-353*p**2 + 752*p**2 - 334*p**2).\nAnswer: -65*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (-166 + 118) - (1 + -14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 85.5 and 0.4.\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 0) + (4 - -1). Let o = -113 - -70. List the prime factors of (5 - o)\/(d\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 120 = -p. Suppose z = 5*v - 80, 4*v = 5*z + 13 + p. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 42 + 33 = 0. Let v(z) be the second derivative of 0 - 1\/32*z**4 - 6*z + 0*z**i + 3\/160*z**5 + 0*z**2. Factor v(p).\nAnswer: 3*p**2*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -1364*d**2. Let x(w) be the first derivative of -8*w**3\/3 + 12428. Determine x(j(g)).\nAnswer: -14883968*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388029718.\nAnswer: 2, 197, 984847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -107674*o**2*t**2 + 4*o**2*t*u*x + o**2*u*x + o**2 + 3*o*t**2*u*x + 437*t*u*x + 2*t*u - 2*t*x wrt t?\nAnswer: -215348*o**2 + 6*o*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 158827243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2741952 by -8.\nAnswer: -342744","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of d**4\/4 - 4*d**3\/3 + 2*d**2 - 5*d - 2. Let z be ((-5)\/(-2) - 2)*8. Is 6 a factor of m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 3 + 5 + -3 + (16 - 38) + 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 117573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.3, -2\/13 in increasing order.\nAnswer: -2\/13, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -432*n*p**2 - 42*n*p - 5456*p**2 - 95797*p + 1 wrt p.\nAnswer: -864*n - 10912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i = -23*i - 15. Calculate the remainder when 15 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -352074, -352071, -352068, -352065, -352062, -352059?\nAnswer: -352056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (-2*sqrt(1100) + -4 - (1 + 1 + sqrt(1100))) + 6*(sqrt(1100) - (-1*sqrt(1100) + -1)))*5)**2.\nAnswer: -18000*sqrt(11) + 2227900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 2*y + 37 - 3, -3*y = o - 6. Suppose -3 = -3*w + 6. Suppose f - 17 = -w*v, -2*f = 5*v - v - 24. Solve -f*h - h = o, 4*a - 5 = 3*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25480\/210)\/(-13)*6*1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**3 + 11*x - 4*x**3 + 5*x in the form l*x**3 + k + m*x + f*x**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/5 and 14\/34459?\nAnswer: 172295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 3*w = -11614, 11*a - 6*a - 2*w = 14483. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f - 137 + 137 in the form h + x*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and 20.56.\nAnswer: 164.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -27, -3, 16.\nAnswer: -27, -3, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 times 643025.84?\nAnswer: 19290.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/559339 and 7\/8644330.\nAnswer: 95087630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -512497*r - 12. Suppose -u = -p, 3*p - 5*p + 5*u = 12. Let d be p*(-4 - -3)*-1. Let f be i(d). What is f rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -18*y**5\/7 + 536*y**4\/7 - 402*y**3\/7 - 116*y**2\/7 = 0.\nAnswer: -2\/9, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.58 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1 + 3 - 2 - 6 + (-1 + 4 - 1)*(2 + 1 - 1) + 2 - 5 - 3)*((4*s - 2*s - 3*s)*(6*s**2 + 3 - 3) + (3*s**2 + s - s)*(-s - 1 + 1)).\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 4*s + 17, 0 = 2*s + 27 - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11380, 11371, 11340, 11275, 11164, 10995?\nAnswer: 10756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c**2 + 244*c + 1346. Calculate x(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + x**4 - 2 - 23*x**3 - x + 23*x**3)*(9 - 1 + 16).\nAnswer: 24*x**4 - 24*x**2 - 24*x - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100112 (base 3) in base 11?\nAnswer: -1922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 412694.576885 + -3453193.576901. Let g = 3040454 + p. Let k = g + 45. Round k to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/2384 and 35\/128?\nAnswer: 19072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2 - 4009348*n + 8018712.\nAnswer: -4*(n - 2)*(n + 1002339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -118.78688 minus -0.032588?\nAnswer: -118.754292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38782.047 + -38782. What is the fourth biggest value in -5, 1.7, -1\/4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -1. Let a = 5\/3 + -2. What is the second biggest value in h, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 5*m**2 - 4*m + 5. Let v be p(4). Suppose -4*c = -3*x - x - 56, v*c + 3*x = 78. Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 - 9. Let b = -67 - -471\/7. Let j = -2 - 1. What is the closest to b in v, j, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23419323?\nAnswer: 3, 41, 63467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h - h + h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10821*x - 10825*x = 2*y + 354 - 122, 0 = 5*x for y.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -118 - -118. Suppose z = -5*g + 23 + 257. What is the third derivative of g*i**5 + 26*i**2 + 2*i**5 - 20*i**5 wrt i?\nAnswer: 2280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 6*r - r - 11145 = 0, -z - 3*r + 2781 = 0. Is z a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 - 5*i + 3*i**2 - 11*i.\nAnswer: 3*i**2 - 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + 9. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.406 less than 233526.04486?\nAnswer: 233526.45086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 48*t + 68. Let b be 2 - (5 - (-32)\/(-4)). Let x(y) = -49*y - 68. Let r(n) = b*s(n) + 6*x(n). What is the derivative of r(z) wrt z?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - a - 56. Let c be v(8). Solve c = 4*d + 8 - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 d, and 1 z when three letters picked without replacement from yzddyyyyyyyywyy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d + 1. Give y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27.58 + -27.579996707. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98\/(-2793) + (-13195)\/(-328947)?\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 345\/2 in 1\/6, -2\/5, 354\/7?\nAnswer: 354\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -528939012.2 + -0.3.\nAnswer: -528939012.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36 - 1\/5*f**2 + 92\/5*f.\nAnswer: -(f - 90)*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -59 - (-8 + -62 - -53)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -y**4\/12 - 37*y**2. Let c(j) = 4*j**2. Determine c(g(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12277, -24554, -36833, -49114?\n\"Answer: -u**2 - 12274*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 9:21 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -h**7\/21 + h**4\/4 + 2*h - 3. Let a(i) be the first derivative of j(i). What is the third derivative of a(s) wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of -2*r**2 + 0*r**6 + 0*r**4 + 0*r**7 + 0 + 1\/48*r**8 + 0*r**3 + 3\/20*r**5 + 0*r. Find the third derivative of p(v) wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 27. Suppose w*i - 16 = 8*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2 * -37.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -17*z**4\/8 + 3451265*z**3\/4 - 1218093*z**2\/8 = 0.\nAnswer: 0, 3\/17, 406031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 15.5. Let p = n - 0.5. Which is the closest to 1?  (a) p  (b) -0.4  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091757239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3392?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -189, -193, -197, -201, -205, -209?\n\"Answer: -4*w - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x - x**3 + 3 + 4*x**2 + 0*x**2 - 2. Suppose -31 + 9 = -2*p. Let u(g) = 3*g**3 - 11*g**2 - 3*g - 3. What is p*k(a) + 4*u(a)?\nAnswer: a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1833 is divided by 491.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/1 - (-13 + 10). Suppose -6*n + f = -7. Sort n, -1, -4 in increasing order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3*t - 12 = 0, 11 = -4*i - 5*t + 38 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1199, -1200, -1201, -1202?\n\"Answer: -h - 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 k, and 1 s when four letters picked without replacement from sazzappzzkkzkazzpzzz.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 243270, 243338, 243404, 243468?\n\"Answer: -p**2 + 71*p + 243200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36694*k**4 - k**2 + 3*k - 15209.\nAnswer: -440328*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11847 and -22.5.\nAnswer: 11824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g - 29. Let u be q(8). Find the second derivative of -9*o + 20*o - u*o + 41*o**4 wrt o.\nAnswer: 492*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*g*t**3 - g*t**2 - 28493879*g*t + 2090818*t**3 + t**2 wrt t.\nAnswer: -60*g + 12544908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {k: 3, d: 4, q: 4, c: 2, b: 3, w: 2}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f = -211*o + 206*o + 33, -2*o + 79*f - 231 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 6.583221 years?\nAnswer: 0.006583221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 410 + -338. Let n be 4\/3*a\/(-16). Let u = 1681\/15 + -356\/3. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 550\/66*(-24)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1054552 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 22*a + 1\/12*a**4 + 0 + 0*a**2 - 1\/6*a**3. Find b such that y(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from lqukkol.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/570372 and 59\/137676.\nAnswer: 3992604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**4 - 1612*a**3 + 65674*a**2 + 2145880*a - 2209944 = 0.\nAnswer: -22, 1, 66, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -452 + 1027. Let z = x + -575.2. Let j = 1.4 - 0.4. Put j, -5, z, 1\/9 in decreasing order.\nAnswer: j, 1\/9, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10890 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -2*o - 5*w, 2*w = -27*o + 28*o - 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(190)*-3*-6)\/sqrt(10) - (((-1*(sqrt(19) - sqrt(171)))**2 - sqrt(19)) + -1)).\nAnswer: -375 + 95*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.633 - 399.633. Which is greater: 4\/11 or t?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 7311?\nAnswer: 58488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 3*i + 2. Let c be -11 + 0 + (1 - -1). Let p = -6 - c. List the prime factors of x(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10 or 0.09427?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*r + 16 = -78*r. Suppose -4*o + 217 = r*y + 5, 3*o + 111 = 2*y. What is the smallest common multiple of 12 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -4 + (-7 - (-6 - 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -2\/7  (c) 0.4  (d) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 1 - (-148 + 0 - (-3800 + 3749)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*n**2*v - 105*n**2 - n + 932*v**3 - 2 wrt v.\nAnswer: -4*n**2 + 2796*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 5*l + 3. Calculate g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 - 120. Let k = x + 114. What is the greatest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 87 and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 40416192?\nAnswer: 40416192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -317.99 or 384?\nAnswer: -317.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -73*o**3 + 7*o**2 + 18*o - 66. Does 17 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 8, 2*w + 5*p - 63 = 39. Let o(i) = 14*i - w + 34 + 3*i. What is the tens digit of o(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2851878 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(-2*i**4 + 6*i**4 - 3*i**4 + (0*i + i**3 + 0*i)*(2 + 3*i - 2)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39451b8 (base 12) in base 8?\nAnswer: 53041334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -697539489\/8770 + 79537. Let a = s + -16227\/21925. Calculate the common denominator of a and -29\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 + 4*c + 2. Let k be a(-2). Let v be 1 + (19 - k - -2). Solve 2*g - v = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 12165 = 5*w + 27, u + 7304 = -3*w. Let k = -616307\/253 - w. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/3*((-3675)\/28)\/(-25).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 12*m**2 - 6*m - 1. What is the hundreds digit of n(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 b when four letters picked without replacement from {b: 1, r: 7, a: 6, v: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-5) + 0 + (-230)\/25. What is the nearest to -3 in x, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 552585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**2 - 43. Let b(v) = -8*v**2. Calculate b(x(p)).\nAnswer: -968*p**4 + 7568*p**2 - 14792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -12 > -21245\/1972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2 + 6962944*d + 34814820.\nAnswer: -4*(d - 1740741)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02 + -2.02. Which is smaller: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 7:52 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61.158 - 16.072. Let m = -0.039 + 76.039. Let v = m + s. Round v to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 4634*w**2. Let x(g) = 4*g**2. What is x(v(p))?\nAnswer: 85895824*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k - 5. Let v be x(8). Suppose v*t - 45 = -0*s + s, -2*t + 38 = 2*s. What is the highest common divisor of t and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 500.2209t to nanograms.\nAnswer: 500220900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*g**3 - 55*g**2 - 520*g + 1920 = 0. What is g?\nAnswer: -8, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 10, -10, -5, 4, 20 in descending order.\nAnswer: 20, 10, 5, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5\/4, 3, -299, -2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jvvvvvvjjjv. What is prob of sequence vvj?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -21*w**2 - 54*w - 6. Let y(l) = 45*l**2 + 117*l + 13. Let n(r) = -13*q(r) - 6*y(r). Let i(s) = -618*s**2. Calculate i(n(a)).\nAnswer: -5562*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*(2 - (-510820)\/8). Let c = o + -221709. What is c rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 231 - (166 - 26) - -31\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 - 2*i + 3. Let o(w) = w**3 + 9*w**2 - 9*w + 13. Let k = 253 - 226. Suppose -k*x + 135 = -12*x. Give x*q(p) - 2*o(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 816508639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-10))\/((-52)\/(-90))*80\/60\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddddqddqd. What is prob of sequence qd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) -0.1  (b) 20.7  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -4. Let o be 1339\/(-515) - (-14)\/(-10). Put 3, o, -2, m in decreasing order.\nAnswer: 3, m, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -225.\nAnswer: -4\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/3, 1\/48, -15\/2, 0.3, -1, 2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 - 28*q + 46. Calculate a(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288834 = -106*x + 37*x. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4827 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4.724, 6, 0.3, 51, 0.4.\nAnswer: -4.724, 0.3, 0.4, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18727, 74901, 168521, 299587?\nAnswer: 468099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36429429, 36429418, 36429407, 36429396?\nAnswer: 36429385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-75)\/(-30)*(-4)\/(-10)*2102. Suppose -3*j = -3*v + 1575, -4*v + 3*j = -2*j - c. Suppose 5*p + 2*y = v + 74, 0 = 2*p - 4*y - 258. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n - 2*a = -23*n + 4, -5*n - a + 28 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-260)\/(-15))\/(-13))\/(170\/15).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/446 and -5\/6?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*v - 45*v - 10*v)*(-2 + 2 - 8*v).\nAnswer: 584*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 86260973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1.745 * -1\nAnswer: -1.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-7)*(-44968)\/730?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6069525\/131 - -46332. Let o = 13103\/1572 + r. Find the common denominator of (5 - (-42)\/(-36))\/(-3) and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5307 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -34*u - 88. What is g(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161129558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/17947416 and 73\/176776.\nAnswer: 341000904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + -4 + 14 + (-4 - 0) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*r = 527*r + 10516 + 12022 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -35.439\nAnswer: -10.6317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + 14750*z - 59023. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 796 = -1175. Let c = -462 - j. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.18 - 40.18. Let g = l + 39.999988. What is g rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/31312 and -29\/147136?\nAnswer: 15155008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2108429924 to the nearest integer?\nAnswer: 45918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.015 + -1.195. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -48481*b*y + 7*b - 317 wrt y?\nAnswer: -48481*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**4\/2 + 9361633*g**3 - 87640172426689*g**2\/2 = 0.\nAnswer: 0, 9361633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p + 1 + 6 - 3. Suppose -2*f - 5*a = -37, -6 = -4*f + 4*a - 2. Calculate g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140411 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*l + x, -2*l + x = 2*l + 3. Let s(g) be the third derivative of 0 + l*g - g**2 + 0*g**3 + 1\/330*g**5 - 1\/132*g**4. What is p in s(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -210, -226, -242?\n\"Answer: -16*a - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 11:28 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 + -1363?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -76219 at most -76217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9, y: 7}. Give prob of sequence oo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -504*n - 14037 + 429 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1322 + 1330. Solve -j*t - 76 = -28 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3498801951 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q**2 - 21*q. Determine y(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 245 = -14*z. Calculate the remainder when z is divided by -1 - (4\/(-2) + -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 40 + 68. Suppose d*m - 3*m = -20, -3*b + 150 = 3*m. What is the greatest common divisor of b and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95559?\nAnswer: 3, 53, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 3 - 0. Let h(v) = -v**3 - 9*v**2 - 8*v - 1. Let i be h(-8). Let r(g) = -2*g. Let u be r(i). Put 4, p, u in increasing order.\nAnswer: p, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -393*t + 756. Give u(3).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 341852447 to the power of 1\/2, to the nearest integer?\nAnswer: 18489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 124\/186*(-6)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1556*c**2*r**2 - 1258*c*r**2 + 2*c wrt c.\nAnswer: 3112*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/268 and 113\/9348?\nAnswer: 626316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.595064 kilograms to micrograms.\nAnswer: 4595064000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/177*119 + 2. Let a = t + 65\/354. Let k be (2\/(0 + 2))\/2. What is the third biggest value in -0.5, a, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2696681771 to the nearest integer?\nAnswer: 51930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-431)\/87 + 5)*(-423)\/(-14). Let o = a - 32\/29. Find f such that o*f + 0 + 1\/7*f**3 + f**2 - f**4 - 3\/7*f**5 = 0.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110100111001100 (base 2) to base 16.\nAnswer: -e9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 + -0.1. Let h = -657\/28 + 1915\/84. Sort q, 3, h, -2\/11 in increasing order.\nAnswer: h, -2\/11, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.7 and 15.198.\nAnswer: -25.8366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 896 and 103236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20*7\/(-28) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*v + v - 2*v)*(-5 + 3 - 5) - 7*v + 7*v - 10*v)*(-10*v**2 + 3*v**2 - 3*v**2).\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.967 - 0.033. Which is smaller: -0.07 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrzoaorpparvr. What is prob of picking 2 a, 1 r, and 1 v?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194244?\nAnswer: 2, 3, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w**4 + 2*w**4 + 37 - 39 - 12*w**3)*(-675 + 1349 - 752) as u*w**3 + j*w**4 + r*w + k + c*w**2 and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -3 + (-78 - (-13 + 0)) + 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/5 + 1029172446*t\/5 - 88266326967135243\/5.\nAnswer: -3*(t - 171528741)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 30*i - 28*i + 590, -i = -5. Let l = p - 297. Let o(v) = -3*v**2 - 1. Let m(f) = -6*f**2 - 2. Give l*m(r) - 5*o(r).\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 less than -1086277?\nAnswer: -1086293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(2\/3)*k*k**(2\/5))\/(k*((k*k\/((k\/k**1)\/k))\/k)\/k)**(-25\/4))\/((k\/((k\/(k**(-1\/3)\/k*k))\/k))**33\/(k\/(k**(1\/3)\/k*k))**(1\/26)) assuming k is positive.\nAnswer: k**(-3019\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 10 = 4*h. Let c = h - -2. Suppose c*l = -5*l + 60. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 - 28*i + 34. Let m be n(-29). Let b(k) = 9*k**2 - 45*k + 10. Let u be b(m). Solve 34 + 16 = u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 7 + 4)*(4 + 1 + 73)*(-17*z - 9*z + 10*z) to p*z + h and give p.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/4 - o\/2.\nAnswer: -o*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12777 + 12883. Solve 98 = -120*d + y*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6663.9999987541 - 6664. Round y to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -1131133300221?\nAnswer: 1131133300220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -4*p**2 - 1 + 2*p**2 + 0 + 5*p**2. Let v be y(1). What are the prime factors of (-3)\/(-3)*v - -20?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4323445299 to the power of 1\/2, to the nearest integer?\nAnswer: 65753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -3. Let h = 270 + -241.6. Let m = -28 + h. Is m less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f**(-15\/7)\/f*f*f)\/f)\/f*f*f*f)\/((f*f**(1\/2)*f)\/f)*(f\/(f*f**19*f))**(-36\/5))**39 assuming f is positive.\nAnswer: f**(77727\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/2233 and -85\/609.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -8, -1553, 4, -3 in descending order.\nAnswer: 8, 4, -3, -8, -1553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v - 27*v - 2*v**2 - 2*v**2 + 21*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75 - 2*s - 75.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*k - 38*k - 11298 = -z, -45384 = -4*z + 4*k. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6422 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 3*i + 5*f, 2*f = -2*i - f + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.042499883 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**9\/30240 + z**6\/720 + z**5\/60 + 2*z**2. Let y(h) be the third derivative of x(h). Find the first derivative of y(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 29 = 3*y - 3*w, 2*w + 20 = 4*y. Let l be 1\/y*72\/(-20). Is l at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*(-3 + 13))\/(2\/(-1)). Let y(u) = 2*u + 8. Let h be y(-4). Put h, c, -1 in ascending order.\nAnswer: -1, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/13815 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 5*a = 28. Let j(u) = u**2 - 7*u + 3. Let l be j(a). Solve 5*f = -3*h + 25, -18 = -l*h + f - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 4  (c) -3  (d) 141  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260*s - 325 = 254*s - 1. Calculate the least common multiple of 588 and s.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 103175840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19990, 39913, 59836, 79759?\nAnswer: 99682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b - 2*b**3 + 2*b + 0*b + 5*b**4 - b to the form o*b**2 + s*b**3 + j + d*b**4 + z*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*a - 1023 + 1023.\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64)\/6 - (-367)\/(-1101)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2548 - -3025. What is the highest common factor of 53 and n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -28 + 0*b**3 + 0*b**5 + 0*b + 23\/2*b**6 + 22*b**2 + 0*b**4. What is the second derivative of x(o) wrt o?\nAnswer: 1380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (128 - 126*o - 128)*(-3*o**3 + 2*o**3 + 0*o**3) + 10*o**4 - 88*o**2 + 88*o**2.\nAnswer: 136*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**(-16)\/m))\/m*m)**(-20)*(m*m**37)\/(m*m**(-1)) assuming m is positive.\nAnswer: m**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of 81*m**3 + 56*m**2 - 194. Find the second derivative of w(s) wrt s.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3911814*a**3*o - 2*a**3 - 3*a**2 + 14320*a*o + 3*o - 39 wrt a?\nAnswer: -23470884*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -110121122001 (base 3) to base 4\nAnswer: -330220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t + 5. Let r be n(5). Suppose -8*s + 75 = 7*s. What is the third derivative of -2*v**2 + r*v**5 - 2*v**s + 4*v**2 wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 899, -2, 3\/7, -4, 11, 2 in descending order.\nAnswer: 899, 11, 2, 3\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/4, -1\/6, 5, 2\/7, 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pfffffffffffffffffff. Give prob of picking 1 p and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 3*u = -42, -58 = -2*x + 85*u + 148 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 2, -0.029, -0.2, 0.3, 177?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 3:26 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 636829317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -541 (base 6) to base 11\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(352)\/sqrt(8)*5 + -3)*-3.\nAnswer: -150*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 733 - 34*h - 719.\nAnswer: -32*h + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -1287*p - 17983. Calculate o(-13).\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**2. Let q(m) = 62*m**2 + 3*m. Calculate q(h(c)).\nAnswer: 248*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6850297 divided by 1081.\nAnswer: -6337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 591942259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 12001011313?\nAnswer: -12001011320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 9*o**5 + 123*o**4 + 78*o**3 = 0.\nAnswer: -13, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - x - 1)*(50 + 29 - 20) to the form c*x + r and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 11*r**3 + 6*r**2 - 6*r - 6. Let k(o) = 55*o**2 + 100*o**3 + 13*o - 23 - 32 - 68*o. What is -6*k(h) + 55*s(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/27)\/((-26)\/6). Let q = s - 191\/156. Which is the nearest to 0.3?  (a) -5  (b) q  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 78 - 41. Suppose 4 = p - j. What is p rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, e: 1, x: 1}. What is prob of sequence qzx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/1448 and 574\/(-224) - 8 - -13.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 16. Let i(x) = x**3 - 3*x**2 - 8*x - 3. Let a be i(d). Suppose 5 = -4*p + a. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3042*s = 1572*s + 1634*s + 13776 for s.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 30*z**2 + 806*z + 19288. Determine y(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, o: 3}. What is prob of sequence vvvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3162 = -a - 4454, -2*a - 15223 = -3*z. Let f = -121669\/16 - a. Find the common denominator of f and (-118)\/(-4)*(-2)\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 + (-76028)\/(-12) - (-4)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10595 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 768782 = 3*k, -5*k + v - 760923 - 520352 = 0. Let m = -178254 - k. What is m rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 128 smaller than 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334888191.\nAnswer: 3, 11, 181, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20889.\nAnswer: 3, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 81513 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/5)\/(5 - 4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3681.641cm to millimeters.\nAnswer: 36816.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 4) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1049 divide 502013978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -9584694\/401 and -23902 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, y: 1, s: 4, w: 2, t: 2}. What is prob of picking 2 s, 1 t, and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1413*q = -1409*q - 11*r + 14, -6 = -4*q + r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.4, -0.2, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, z: 2, o: 2, n: 1, k: 1}. What is prob of picking 1 w and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 1, -12.277, 2?\nAnswer: -12.277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s - 2. Let m = -30 - -33. Let p be w(m). Let u be (-3 + 2)*1*p. What is the third smallest value in 0.05, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 + 35. What is the tens digit of (i\/(-20))\/((-1)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1900) + 0)*-2)**2.\nAnswer: 22800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 2846 divide 194065894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -624*o = -622*o - 10. Solve f - o*h = 5, 7*f - 5*h = 2*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -91*j - 99. Let n be v(-8). Suppose 624*u = n*u - 110. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a**2 + a - 3. Let q(k) = -5*k**2 + k + 4. Let z(r) = -3*p(r) - 2*q(r). Differentiate z(l) with respect to l.\nAnswer: -10*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/(-68))\/(23\/230)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1836 - 1836.943. Let m = 0.843 + w. Is -437 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -298, -285, -272, -259, -246, -233?\n\"Answer: 13*k - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.424318 and -5?\nAnswer: -2.12159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 11) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 46645 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30.66 + 0.684.\nAnswer: -29.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000024652 rounded to 7 dps?\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of 0 - 1\/2*d**3 - 1\/12*d**4 + 35*d - 7\/2*d**2. Let y(f) = -f**2 - f - 3. Give 3*u(b) - 7*y(b).\nAnswer: 4*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z**3 + 2. Suppose 3*l + 19 = 7. Let k be 3\/((-6)\/l - 0). Let s(p) be the first derivative of -3*p**4\/4 + 3*p + 5. Determine k*s(q) - 3*m(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4*11\/2090)\/(2\/(-10)). Sort 0.28, 2\/3, s in decreasing order.\nAnswer: 2\/3, 0.28, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2*s - 90. Let d = s + 32. Let c(m) = 15*m**2 - m**2 - 9*m - 10*m**d + 8*m**2. Let a(v) = -3*v**2 + 2*v. Give -9*a(k) - 2*c(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/15876 and 149\/2524284.\nAnswer: 2524284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 228, -18, 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + 0.7. Let p = -11 - -13. Let l = -0.6 + 4.6. Which is the nearest to -1?  (a) l  (b) h  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3\/221 + -23\/221. Suppose -2*n + 85 = s, -5*s + 386 = n - 4*n. Let h = -80 + s. Which is the fourth smallest value?  (a) y  (b) -2  (c) h  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 682978 and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 81, 81, 79, 75, 69?\n\"Answer: -p**2 + 3*p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 192\/(-5280) - 31438\/605\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -648, -642, -636, -630, -624, -618?\n\"Answer: 6*n - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16657, -33444, -50231, -67018?\n\"Answer: -16787*a + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 136.29 - 134.29. Sort f, -44, 0.4.\nAnswer: -44, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dsqk when four letters picked without replacement from {l: 1, s: 1, k: 2, q: 2, d: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1513055.\nAnswer: 5, 23, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 3\/7, 61\/4.\nAnswer: -2\/5, 3\/7, 61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 + -30255?\nAnswer: -30312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 11. Let h be 1 - (-2)\/(4\/2). Differentiate -2*w**h + w**3 + 2 + 2*w**b wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of 0*q + 2*q**3 - 13 - 1\/20*q**5 + 3\/8*q**4 + 13\/2*q**2. Let v(x) be the second derivative of a(x). Factor v(l).\nAnswer: -3*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -194 - -229. Calculate the remainder when 208 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 79388550.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, r: 4, e: 3, u: 1}. Give prob of sequence eu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 40) + -76 + 62?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g**3 - 7*g**2 - g - 8. Let p(x) = -x**3 + x**2. Let y(l) = b(l) - 3*p(l). Let v = 20 + -30. Let a be y(v). Solve 3*m + a*m + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/1198032 and -82\/8746995.\nAnswer: 1539471120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13061111?\nAnswer: 7, 37, 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20491496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/15, 11, 1\/9, -3\/659?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 3*d + 3. Let u be h(-4). Suppose 2*a + u = -23. What is the units digit of (-304)\/(-52) - 6\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 3*p**2 - p + 2. Let s be c(3). Let u = -8 - s. Sort 4, -1, u in increasing order.\nAnswer: u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**4 + 3*a**4 - 6*a**4)*(0 + 3 - 1) - 317*a**3 + 3*a**4 - 306*a**3 + 599*a**3.\nAnswer: a**4 - 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -79 + 30 - -14 - 36?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2\/5 + 29512*x\/5 + 29514\/5 = 0?\nAnswer: -1, 14757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -562 = -5*l + 4*w, 3*l - 5*l - 2*w + 232 = 0. Suppose 3*m - l = 135. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.2, 5, 2, 29 in increasing order.\nAnswer: -1, -0.2, 2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) 197  (c) -1.46  (d) -2  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 1103*o - 244688. Let z be q(222). Let g be (-2)\/3 - (-536)\/3. Is g > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 426772, -2.\nAnswer: -2, -1, 3, 426772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 14 + 39*r**3 - 46*r**3 in the form m*r**3 + i*r**2 + p*r + v and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 - 21. Factor 5*t**2 + 3*t**2 - 9*t**2 + 3*t + 4*t**o - 6.\nAnswer: 3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*c + 6 = -4*s, -c + 4*s = -10. Is c at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*a**2 - 3*a**2 - 2*a**2 + (-3 - 3 + 4 - 3*a)*(-a + 3*a + 3*a).\nAnswer: -16*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -d, 3*j - 2*j + 22 = 5*d. Let w = -3 + d. Let x(o) = -4 + w - 5*o**2 - 2 + 5*o - o**3 + 3. What is x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 464112, 464093, 464062, 464013, 463940, 463837, 463698, 463517?\n\"Answer: -k**3 - 12*k + 464125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, r: 2, o: 1, s: 2, y: 10}. Give prob of picking 1 o and 2 s.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 100963360 rounded to the nearest one hundred thousand?\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*1*(-1 - 0). Let x = b + 5. Find the third derivative of i - i**3 + x*i**2 - i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2032260 (base 7) in base 2?\nAnswer: -111011011001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 + 115 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - 5*m - 2. Let c be z(-3). Solve -c = 2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 41950.4 and -99.\nAnswer: 41851.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 5, m: 1, e: 3, t: 1, r: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 315479, 630961, 946443, 1261925, 1577407?\nAnswer: 1892889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -787 - 2621 - 492 = 300*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**2 - 53*n - 135. Let l be o(-23). Solve -5*t + 3 = -a, l*a + 2*t - 8 = 23*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/1*6\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4*r + 92 = 332, -5*r = -4*v - 235. Let z be (-4)\/4 + (-37)\/v. Let g = 2\/65 + z. Is 0 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 559 divide 11799931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -186*x - 32*x**3 - 555*x - 8*x**3 - x**2 + 117*x - 27*x**3 wrt x?\nAnswer: -402*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxxs when four letters picked without replacement from zbbbbsxbbbbxb.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 182*d**5 - 389*d**4 + 21*d**3 + 26135820*d wrt d?\nAnswer: 3640*d**3 - 4668*d**2 + 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/2)*r\/r**(-18)*(r\/(r\/r**(-2\/5)))\/r*r*(r*r**6*r)\/r assuming r is positive.\nAnswer: r**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1310, -794, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.4, -2\/23, 0.2, 18?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -360.81 + 346.9. Let g = s + 14. Let t = -4.91 - g. Which is the second smallest value?  (a) 0  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4777967 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 206936 and -4.3?\nAnswer: 206940.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -0.16133\nAnswer: -0.048399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/30*(6 - 3). Let u = 0.32 - 0.386. Let g = -0.234 + u. What is the closest to h in -1\/3, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*b = -13, -2*w + 23 = 4*b - 11. Let y = w + -2. Suppose -y*u + i = -73, 3 = -3*u + 5*i + 38. Solve 3*p - 3*d + 2 = -13, 0 = -3*p + d - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/6  (b) 2  (c) -23  (d) -4  (e) 5  (f) -0.15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**6*a*a*a*a*a*a**(3\/5)*a*a**(-9)\/(a**(4\/7)*a))**22 assuming a is positive.\nAnswer: a**(1562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 1548 = -4*w, 1946 = 5*w - 10*d + 6*d. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2 - 5. Suppose 3 - 1 = 2*s. Is s <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p - 30 = -3*p. What are the prime factors of p\/10*(-3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g**2 - 9*g**2 + 13*g**2 + 15*g + 20. What are the prime factors of u(-13)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000021475 to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 8560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1.539 times 88\nAnswer: -135.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*u + 56*u = 12 - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 446\/450 + 3\/(-3). Let d = -247\/2475 - q. Which is the biggest value?  (a) -1\/4  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 5*f**4\/2 - 31*f**2. Let t(q) = -2*q**2. Calculate c(t(g)).\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/3)\/(3\/(-9)). Let z(t) = -t**2 - 9*t + 3. Calculate the remainder when 89 is divided by z(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15, -26, -57, -120, -227, -390, -621, -932?\n\"Answer: -2*s**3 + 2*s**2 - 3*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -0.4  (c) 89  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 204, 899, 2068, 3711?\nAnswer: 5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 695 + -693. Let x(u) be the first derivative of u + 5\/3*u**3 - 2*u**f - 1\/4*u**4 + 12. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 17 = -14. Let d(b) = 415*b + 4. Is d(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2*sqrt(99) - sqrt(99)))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -100844.1 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 1717*g**3 + 10*g. Let q(m) = 1715*m**3 + 6*m. Give -3*q(b) + 2*r(b).\nAnswer: -1711*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-2)\/2*(220\/150)\/11.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -4*r**3 - 3*r. Suppose -m = 8 - 9. Let d(u) = u**3. Calculate m*w(k) + 3*d(k).\nAnswer: -k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 3*i = 12. Suppose 0 = i*v - 67 - 8. Suppose 0 = -5*d + 15*q - 14*q + 29, 3*q = -5*d + 33. Calculate the least common multiple of v and d.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 12 = -f, -6 = -g + f. Suppose g*o = 2*r - 1390, 2*o = 7*o + 3*r + 3443. Let v = 1172 + o. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 3 + (-30)\/(-38))\/(1 + 1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-1))\/(-2) + 460\/(-8). Are -55 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709.2772mm in centimeters?\nAnswer: 70.92772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.34 times 214\nAnswer: 72.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1338*j**3 + 1339*j**3 + 20 + 19 + 4 - 9 + 2*j.\nAnswer: j**3 + 2*j + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -9447.7903 to the nearest integer.\nAnswer: -9448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 339121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a millimeter in micrometers?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -67*b**3 - 9*b**2 + 8*b - 5. Let v(f) = -6*f**3 - f**2 + f - 1. What is -2*a(h) + 18*v(h)?\nAnswer: 26*h**3 + 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -2*g - 2*l, 31 + 48 = 3*g - 5*l. Suppose -f + 19 = -5*x, -2*f = -f + 4*x - 10. Calculate the greatest common factor of g and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -377036 divided by 13?\nAnswer: -377036\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 2:17 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.8181373 and 0.1.\nAnswer: -0.08181373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1180 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 + -21.1. Let g = h - 2.89969. What is g rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 409165?\nAnswer: 5, 19, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 435059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.0464 = -4\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15082189 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 0) + 1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 9:33 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 2:49 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1016 - 997.82. Let d = -0.18 + z. Let n = -18.0056 + d. Round n to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3015275506 to the nearest integer?\nAnswer: 54912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 14) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -9*i**3 - 14*i**2 - 5*i - 5. What is m(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*v - 3 - 3*v**2 + 22*v - 21*v + 0 as z*v + y*v**2 + j and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 8 = -s + x, 5*s = x - 52. Let y = 79\/7 + s. Put y, -4, 0.3 in descending order.\nAnswer: 0.3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23079603*g**4 - 33*g**2 - 4417*g - 2 wrt g?\nAnswer: 553910472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*i**2*j**3*t**2 + 3*i**2*j**2 - i*j**3*t**2 + 34*i*j**3 - j**3*t**2 wrt i?\nAnswer: 44*j**3*t**2 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 8*x + 4*x)*(x - x - 2*x) + 0*x - 2*x - 2*x**2 + x**2.\nAnswer: 11*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 52317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 2. Let x be b(2). Let a(p) = -14*p + 6 + 2 - 7 + 5*p. Let d be a(0). Solve x = -3*o + d - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4045981153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2117b - b65?\nAnswer: 20416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11.7682 and 423?\nAnswer: 434.7682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -157 + 160. Solve -48 = 27*d - w*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 2)*9*(-130)\/(-10). Let r = y + 253. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/20)\/((72\/(-30))\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, a: 4, m: 1}. What is prob of sequence amr?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -163, -155, -145, -133, -119, -103?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ylvvloyylvvlllppv. Give prob of sequence oy.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17937672 a multiple of 3396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + -3)\/(1\/(-3)). Suppose 0 = r - z + 1. Let b = 4005 - 4001. Sort r, b, 3 in ascending order.\nAnswer: 3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 57, -116, 138 in descending order.\nAnswer: 138, 57, -1, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 987 - 962.56. Let d = i + -24.5. Which is the second smallest value?  (a) -0.2  (b) -1\/4  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85342884.\nAnswer: 2, 3, 11, 646537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 2:17 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2867 (base 9) in base 13?\nAnswer: -ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 10 = 82. Let i = p - -37. Calculate the remainder when 19 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 380 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -bc1 - 4?\nAnswer: -bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 46*m + 1155. Determine v(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 5:38 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8153\/(-3156))\/(-1*4\/64))\/((-2)\/(-3)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -318179 and 103024.996.\nAnswer: -215154.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00012295 rounded to six dps?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 32126243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69093934 by 12922.\nAnswer: -5347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j + 5. Let p be m(-6). Let x be (-2 - p) + 6\/2. Suppose 2*o = o + x, -5*w - o = -27. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v - 11 - 2*v**2 - 4*v**2 + 20*v.\nAnswer: -6*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/7 + 10*v**2\/7 + 29*v\/7 + 20\/7.\nAnswer: (v + 1)*(v + 4)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - r**2 - 4*r + 3. Let o be d(2). Let j be (0 + 0)\/o + 9. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-40)*4)\/(-8 + (-83)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 456026756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -11*p**2 - 46*p - 8. Let q(y) = 2*y**2 + 8*y - 1. Let n(z) = -a(z) - 5*q(z). Let c(u) = u**2. What is n(c(x))?\nAnswer: x**4 + 6*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -455*p - 104. Let a(n) = -456*n - 132. What is 4*a(i) - 5*u(i)?\nAnswer: 451*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-11)\/((-33)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r - 5*k - 43, 0 = 1291*r - 1294*r - 6*k - 51 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3\/2 + 78*q**2 - 1731*q\/2 - 945.\nAnswer: -3*(q - 35)*(q - 18)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.9 and -9.6.\nAnswer: -47.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -81404815 by 5.\nAnswer: -16280963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-1\/5)*j))**(17\/2) assuming j is positive.\nAnswer: j**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 6. Let s = 413351\/2151 - -146\/239. Let z = -193 + s. Which is the third smallest value?  (a) -4  (b) w  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -4*m + 9, m - 3*n = 6 - 25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 9 and -283.3.\nAnswer: -274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**7)\/w)\/w**(-5)*w**2*w*w**(1\/6)*(w**(2\/3)\/w)**(-9\/5)*(w**(-1\/4))**(4\/9) assuming w is positive.\nAnswer: w**(1409\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - j - 276744997 = -2*f, -55348988 = -f + 4*j. What is f rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199 = 15*v - 259 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23123*t**2 + 3*t + 3 + t - 5*t + 20006*t**2.\nAnswer: 43129*t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((4 + 2*sqrt(68) + 1)**2 - ((sqrt(119) + (5*(sqrt(119) + -2*sqrt(119)) - sqrt(119) - sqrt(119)))\/(sqrt(63)*6 + sqrt(7)))**2).\nAnswer: 80*sqrt(17) + 213210\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.936492 - 159.8.\nAnswer: -158.863508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 6) + 1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -60) + 3859 + -3921\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01866006987 to four decimal places.\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**3)\/(x**(-2\/7)*x))\/(x**(3\/13)\/(x\/(x*x*x**(-3\/4)*x)*x*x)) assuming x is positive.\nAnswer: x**(1385\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3415 (base 6) to base 16.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + (-4 - 1))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 29*n**2. Let d(v) be the third derivative of 29*v**4\/12 - 9*v**2 - 356*v. What is q(d(j))?\nAnswer: 97556*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00054793 rounded to six decimal places?\nAnswer: -0.000548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 170549 + 5?\nAnswer: 170550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 0 + 3\/2*m**2 - 1\/2*m**3 - 1\/20*m**5 + 1\/2*m**4 + 46*m. Give p(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 6, 12339 in ascending order.\nAnswer: 0, 6, 12339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 672802703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - (8 + -22)) + -9 + 3 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 516 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3626 divided by -2?\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148559 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 164410 divided by -24?\nAnswer: -82205\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 6*u + 7. Let i be y(5). Let o = 0.3 + -0.4. Let c = -132 - -662\/5. What is the biggest value in i, o, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 10 = q - 30, -4*x - 28 = 0. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 4:25 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005276847 to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 58*t + 5. Let s be a(-43). Suppose -4*f + s = -386. Does 51 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76814452 to the nearest integer?\nAnswer: 8764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1391160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) -1\/2  (b) -0.28  (c) 9  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/4918 and -97\/12.\nAnswer: 29508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7502 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 562 and 574 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 568414812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3491\/168498 + -9\/814. Is f smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2383.1079 months?\nAnswer: 0.198592325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a - 14. Let d be b(-7). Let z be (-14)\/(-6) + d\/21. Does 9 divide 6\/(z - 0)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -3\/2  (c) -0.1  (d) -2  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -158*p*z**3 - 3*p*z**2 + 31*p*z + p - 4*z wrt z?\nAnswer: -948*p*z - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -4*a + 0 - 2*a + 1 - a. Let s be b(-1). What is the greatest common factor of 20 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3*i - 46 = 0, -5*h - 7 = -3*i - 41. Calculate the lowest common multiple of h and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 26*c + 720. Give k(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38 - -94. Suppose 2*i - 8*u + 4*u = l, -3*i = 4*u - 54. Let f be -24 + i - (-25 - 1). Solve 4*s + 4*c = f, -5*c = s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, u: 2, v: 1}. Give prob of sequence vuy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*((-231)\/(-14))\/(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 107*u**3 - 1 - 204*u**3 + 113*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.145501 millilitres?\nAnswer: 0.003145501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 3, 0 in increasing order.\nAnswer: -32, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -3\/8, -0.79792, 3, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 3*p = 3*n - 156, 0 = 4*n + 5*p - 209. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18009 - 152790 = 3349*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + 0. Suppose 7*y = 9 - 51. Let v(n) = -n**2 - 6*n. Let c be v(y). What is the closest to -1 in 1, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**5*t**2 - 322*j**2*t**2 - 125*j*t**2 + t**2 wrt j?\nAnswer: -20*j**3*t**2 - 644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -27*a**2 + 1. Suppose 3*h + 9 = 0, -h = -3*x - 0*h. Let k be c(x). Let f = 114 + k. What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of t**5\/60 + t**4\/6 - t**3\/3 - 3*t**2. List the prime factors of h(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -3*g - 2, 5*u = 3*u - g - 17. Let m = u - 4. Is m less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 2*r. Suppose r + 2 = -h. What is the units digit of ((-91)\/(-26))\/(h\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*f. Let r be (-434)\/(-10) - 6\/15. Suppose -3*g + s + 75 = -r, 4*g - 5*s - 150 = f. Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 43*i + 7. Let q = 95 - 91. List the prime factors of t(q).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -882\/5*k**2 + 189*k - 47\/5*k**4 + 1\/5*k**5 + 334\/5*k**3 - 351\/5 = 0.\nAnswer: 1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/22452 and 95\/18.\nAnswer: 67356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*v - 206*v = -38*v - 3302960. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 10*h - 33. Let r(t) = -3*t + 11. Let w(j) = 2*q(j) + 7*r(j). Suppose -4*v = 4*x - 28 + 12, 5*x - 20 = -v. What are the prime factors of w(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -76439, 12, 10, -3 in ascending order.\nAnswer: -76439, -3, 2, 5, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33.1 - -36. Let l = 2.84 + 0.16. Let p = l - s. Sort p, 5, 0 in ascending order.\nAnswer: 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -9426*i + 9532. Determine v(1).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18911 + 28045. Suppose m = 36*x - 10*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.146896 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -q + 2*b, -89*q + 87*q - 20 = 2*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {q: 2, c: 1, x: 2, v: 1, p: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14686 = -4*k + 14714 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 2*y + 79, -41*y = 5*c - 35*y - 141. Solve 85*b = 76*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 297604 divided by 1.\nAnswer: 297604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 9363*f - 28354*f - 1.\nAnswer: -18991*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w + 9. What is the remainder when l(7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43905, -43924, -43963, -44028, -44125, -44260, -44439, -44668?\nAnswer: -44953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1050)\/(-126)*(-5)\/25?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/44*14*-1. Suppose p*z + 21*z = 0. Which is the nearest to -1?  (a) -0.5  (b) 0.03  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -996 by -4.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*sqrt(28) + 5 + sqrt(175)*3)**2.\nAnswer: 50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x + 12. Let g be b(-10). Is 2 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12 + 4)\/(3\/462). Calculate the highest common divisor of 462 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-14))\/((-648)\/(-13608))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -9*j**3 - 52*j**2 - 14*j + 9. Is 63 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of 3*g**2 - 18. Let n be s(12). Let a = -45 + n. Solve -h + 6*h = l + a, 7 = h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 717876 times -2?\nAnswer: -1435752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/14*2*70\/60. Let n be 3 + (3 - 4) + -4. Sort n, f, -4 in ascending order.\nAnswer: -4, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41371 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57\/(-108)*3390\/(-32205)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/15 + (-61)\/(-30). Let o be (-1)\/(-4) + 9\/4. Let y = t - o. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 65, -1, 2, 37?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/54 and -29\/14706.\nAnswer: 44118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(32)*6 + 2.\nAnswer: 2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(6480) + -3 + sqrt(6480))**2 + -2.\nAnswer: -432*sqrt(5) + 25922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 63*r**3*v - 73*r**3 + 5*r - 22194*v**2 + 1748 wrt v?\nAnswer: 63*r**3 - 44388*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 580 + 2696. What is the common denominator of p\/88 - (-2)\/(-11) and -23\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, e: 6, y: 2, j: 2, a: 4, c: 3}. What is prob of picking 2 c and 2 y?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 6*r + 3*x + 51, 54 = 3*r + 3*x. What is the smallest common multiple of (-1)\/(-10) - (-389)\/10 and r?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11263 by 1609.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-4 - (-20 - -26)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -58\/197  (b) -5  (c) 0.009  (d) 93  (e) -0.4  (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 12 + 3 = -3*z, 0 = -3*c + 3*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of 1\/2*j**3 + 8\/3*j**4 + 262*j + 0 + 127\/2*j**2. Find the first derivative of u(o) wrt o.\nAnswer: 64*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 9*l**2 + 10*l + 4. Let v be x(10). Suppose -4*d - 12 = -v*c, -4*d + 9 = 2*c - 9. Solve -2*w = -p - 4*w, -3 = -4*p - c*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.2  (b) 12  (c) -0.0902\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2517 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 7*x**2 - 138*x + 688. Calculate s(5).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 0 - (3 - 14). Suppose -2*l = 2*l - i, 2*a - 55 = -l. Suppose -a = -5*k - 0*m - m, -3*k = 4*m - 19. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3077 is divided by 2063?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*h + 40*h = 21 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6043, -5303, -4573, -3853?\nAnswer: -3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -476686*i**2*j - 2325*i*j + 20*i - 3*j wrt i.\nAnswer: -953372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -60154402 divided by -1837\nAnswer: 32746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1652689.98us in days?\nAnswer: 0.00001912835625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9739*w + 9739*w + 11*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 12  (b) -2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 226320 + 107?\nAnswer: 226427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 968220147 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 452*d*h + 66871180*d + 7*h**3 - 241*h wrt h.\nAnswer: 452*d + 21*h**2 - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -84, -635, -2126, -5025, -9800, -16919, -26850, -40061?\n\"Answer: -78*g**3 - 2*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*v. Suppose v = 6*k - 36 + 12. Let h be ((-2)\/k)\/((-6)\/(-12)). Which is greater: h or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86640.71 minutes to microseconds.\nAnswer: 5198442600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.14?  (a) 7  (b) 0  (c) 2  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -457*v + 1 - 161*v**2 + 6 - 10*v**2 + 457*v - 5.\nAnswer: -171*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3*4)\/(2\/(-4)). Let l be ((-9)\/(-6))\/((-4)\/152). Let i = g - l. What is i rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of -d**3\/6 - 2*d. Let i(c) be the second derivative of -c**4\/12 - 20*c**2 - 10039*c. Give i(y(l)).\nAnswer: -l**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/8*8\/(-2). Let r be 26\/8 + q\/(-4). Suppose 2*u - 30 = 2*t - 5*t, -r*u - 36 = -2*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 6167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p + 4*p**2 - 4*p + 4*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 28, 6 in descending order.\nAnswer: 28, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 - -28. Suppose 4*p + o*j = 2*p + 297, 2*p - 303 = -j. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 814513.\nAnswer: 7, 116359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 720*z**6 + z**4 + 13624*z**2.\nAnswer: 86400*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(352)*-4)\/sqrt(2))**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141454.\nAnswer: 2, 107, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 149605 and 476958?\nAnswer: 327353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -335 - -1035. Calculate the greatest common factor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -5*m + 25, 0 = 2*m + m - 3*g - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/266)\/((-2)\/70*-10).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m - 623. Let x(k) = 31088*k. Give i(x(p)).\nAnswer: -31088*p - 623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -6*j**2 + 8*j - 1. Let s(i) = 3*i**2 - 4*i + 1. What is 3*o(x) + 5*s(x)?\nAnswer: -3*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.552003 months to decades.\nAnswer: 0.029600025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 2102524560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -8, j + 2*t = 3*j + 4. Let b be j\/((15\/6)\/5). Suppose b*s - 166 = 2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2\/9)*j**(-2\/11)\/j)\/(j**(-4\/7)\/j**(-14)) assuming j is positive.\nAnswer: j**(-9586\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1678572 + 2.\nAnswer: 1.8321428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5260551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(76) + (sqrt(152)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 6*v**2 - v - 6*v**2 + 17*v**3. Let l be w(1). Suppose -2*a + 14 + l = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -5*t + 5. Suppose 0 = -2*k - 2*k - 28. What is the remainder when n(k) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**4 - k**3 - 6*k**2 - 5*k. Let v(l) = -l**4 - 3*l**2 - 2*l. Let s(i) = 6*n(i) - 14*v(i). Factor s(t).\nAnswer: 2*t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*o = 322*o + 2305 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 168 and 20.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 90*z + 190*z**2 + 0*z**3 - 278*z + 3*z**3 + z**3 - 6*z**3 = 0.\nAnswer: 0, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 23996 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 2 a, and 1 p when four letters picked without replacement from {a: 5, g: 4, p: 4, x: 2}.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1259 + 2944. Let o = -846 + p. Is 2 - 2\/((-2)\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 5*x**2 + 559*x - 6034. Let a be h(11). Solve -740*g + a*g + 160 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(27)\/sqrt(3))\/(-3*sqrt(3)*2) + sqrt(24)\/((sqrt(96)\/sqrt(3))\/sqrt(4)) + (-1*sqrt(192) + 4)**2 + sqrt(192).\nAnswer: -331*sqrt(3)\/6 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10*-9866\nAnswer: 98660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4 + 70\/60*6\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 76\/72*4 - 6\/27. Suppose w*x = 2*o - 6, -3*x - o + 12 = 3*o. Solve 5*r + 3 + 2 = x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 701572566 or 701572568?\nAnswer: 701572568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)\/(-1*sqrt(324)))\/(sqrt(605) + ((sqrt(605)*-2 - sqrt(605))*-4 - sqrt(605))).\nAnswer: -sqrt(5)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 6:26 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by 2318549.\nAnswer: 13\/2318549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 12:53 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -824 - 104 = -16*g. What is the greatest common divisor of g and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123141774 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 + -1 + (-50138)\/(-22) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -6. Let i be -1 + q + (-2)\/(-2). Suppose -x - 144 = -i*b, 40 = -2*b - 3*x + 147. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 9*s**2 - 2*s - 1. Give q(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -9314180509 rounded to the nearest 100000?\nAnswer: -9314200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 2*s**2 + s + 4. Suppose -5*h = 3*u - 5 - 5, 4*u - 4 = -2*h. Suppose 7 - h = -5*y + 5*t, -3*y - 2*t = 13. What is d(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/19139737 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2200033 + -30021?\nAnswer: 2110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from wxljxw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-1*sqrt(132))\/sqrt(12))**2*-6.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 - 7. Calculate the remainder when 109 is divided by t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1893 is divided by 991?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3519012787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 6*c = -56. Let r be (-34)\/c + 57\/(-133). What is the lowest common multiple of 12 and r\/(-1 - (-18)\/15)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 1099635\/2*v**2 - 460536*v + 92256 + 8913\/2*v**3 + 9*v**4 = 0.\nAnswer: -248, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 246?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.38 - 16.7\nAnswer: -16.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + -4. Let u = -8 - m. Suppose -7*l - 24 = -19*l. What is the third biggest value in -5, l, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1428 + 4188. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fourty-nine quarters of a week?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/4)*l**(-2\/7)*l)\/(l\/(l**5\/l))**(6\/5))**12 assuming l is positive.\nAnswer: l**(1707\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -13000110?\nAnswer: 13000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (266*1)\/2*444\/(-33411)*-43.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 4:49 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351 - 127 = 28*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -254294 divided by -6?\nAnswer: 127147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -1 + 36. Suppose -5*l = -c*l + 122. Suppose p - l = -1. Calculate the highest common factor of 40 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 198887.16 months?\nAnswer: 165.7393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.13?  (a) -23\/5  (b) -2  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28866 + -28866. What is the closest to k in -258, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*10462973.\nAnswer: -2092594.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 - 5. Let d be 24\/n - (-2)\/3. Suppose 4*m - 23 - 57 = d. Put -3, m, -4 in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2 = -7. Let l = 4 + b. Is 16 - (-4 + l - -3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 58*w + 3 - 5.\nAnswer: 58*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/77 + (2 - 250\/112)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-1) + 9\/3)\/2. Solve j = 5*t + 5*h - 6 - 19, 4 = 2*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/53426046 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4710 or 4711?\nAnswer: 4710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 375 - 316. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/26664 and -137\/528?\nAnswer: 53328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2 = -4. Solve 5 = x*n + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.093 + -5.04. What is the third biggest value in -2, -1, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0\/w)\/w**(-3)*w*w**(2\/7)\/w*w\/w**(3\/5) assuming w is positive.\nAnswer: w**(94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.5, 5, -0.16, 0 in increasing order.\nAnswer: -0.5, -0.16, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 2*g + 53, g - 95 = -3*r + 50. Is 623\/r - (-2)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 97726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 5  (b) 3  (c) -1366\/35  (d) 8  (e) -2.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**2*w**3 + 72*n**2 + 96137*n*w**4 - 2*n*w - 200*w - 1 wrt w?\nAnswer: 6*n**2*w + 1153644*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -190*i - 3157. Calculate j(-17).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 4*p + 12 - 1, -2*b + p = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-5) + 6 + (2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -232932846 divided by -229\nAnswer: 1017174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 11, -478, -16 in decreasing order.\nAnswer: 11, 1, -16, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 + 8 - 439)*(-3 + 1 + 1)*(2*p - 2*p - 4*p).\nAnswer: -1616*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 333 = 6*d + y, 20 = 4*y. Suppose -d + 1 = 3*p. Let r = p + 39. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.871 - 0.151. Let b = -7.319 + j. What is b rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 5*s**2 - 12*s. Let g(d) = -19417*d**2. Calculate c(g(i)).\nAnswer: 1885099445*i**4 + 233004*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.9, -2\/7, 1\/4, 2\/5, 116\/63?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -5*o**3 - 27*o**2 - 44*o - 61. Let k(i) = -2*i**3 - 12*i**2 - 21*i - 31. Calculate 9*k(w) - 4*m(w).\nAnswer: 2*w**3 - 13*w - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -56.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 239396473 to the power of 1\/3, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-615)\/82*(3 + (-17)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32660000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112101 - -111202?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*(g\/g**(4\/7))\/g)\/g)\/g)\/(g\/(g**5*g)*g))\/(g**(-2)*g*g*g**(1\/4)) assuming g is positive.\nAnswer: g**(61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.5331624 minutes to days.\nAnswer: 0.002453585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**5\/3 + 1606*c**4\/3 - 1072*c**3 + 2*c**2\/3 + 3215*c\/3 - 536 = 0.\nAnswer: -1608, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**3\/3 - z**2 - 4*z - 3. Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.09 + 18.39. Let t = -12.3 + d. Let h be 34\/30 + (-3)\/9. What is the second biggest value in 5, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 17*c**2 - 10*c - 13. Let m = -436 + 432. Calculate the remainder when j(m) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 137 = -h - 167, -5*a + 30 = 0. Let m(n) be the third derivative of 1\/480*n**6 - 1\/240*n**5 - 1\/48*n**4 + h + 0*n + 0*n**3 + 25*n**2. Factor m(o).\nAnswer: o*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12133196 is divided by 861.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 - 14*n + 42. Give k(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o - 69. Let u(m) = 7*m + 34. Suppose 0 = -5*i - 6*i + 44. Let g(c) = i*d(c) + 9*u(c). Let v(s) = s**2. Give v(g(a)).\nAnswer: 9*a**2 + 180*a + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110.957 + 111. Let k = 0.097 + i. Round k to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46753 - 140260\/3. Let z be (-3 + 1)\/(15\/(-6)). Which is the second biggest value?  (a) -0.42  (b) w  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -4*q + 1. Suppose 2*f = 10*f + 208. Let i(a) = -a + 18*a - 2 - 2. What is f*k(b) - 6*i(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/12 and -74\/10419?\nAnswer: 41676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 10588 = -4*c, 27*c = 31*c + 3*v - 10553. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7249\/3910 + 18\/391. What is the common denominator of k and 17\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -149363, -149265, -149165, -149063, -148959, -148853?\n\"Answer: k**2 + 95*k - 149459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v - 24*v - 8*v)*(-v - 7*v - 8*v).\nAnswer: 512*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 w, and 2 e when four letters picked without replacement from ewaeezzeaeeeeeaaaw.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r**3 + 10*r**3 - 56*r**3)*(-2 + 4 - r + 1).\nAnswer: 52*r**4 - 156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 440.9 - -11.1. Let u = 451.8 - k. Which is the nearest to -2\/7?  (a) u  (b) -1\/4  (c) -0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 18. Let t be a(7). Let m(s) = -3*s**2 + 11*s + t*s**2 - 9*s. What is m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54 - (4 + 5 + (-11 - -5) - -4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 7*o**2 - o + 9. Suppose 0 = -4*l - 14 + 46. Suppose l*h - 4*h - 28 = 0. Let z be f(h). Solve -4 = -4*a - 4*q, 2*q = z*a + 3 + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 347 + 2\/(-2) + 10 and 20.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27264 is divided by 1363.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -13 - ((-54 - (-18 - 9)) + 50)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*w - 160735 = 0, 32*d - 30*d + 2*w - 321476 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16284 and 122130?\nAnswer: 244260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1010010111111111000110 (base 2) to base 16\nAnswer: -297fc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3697 - 6447. What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2898 divided by -3\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 - 47.1. Let n = 3 - -1. Let d = 3 - n. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 78\/(-143) + 1396\/220?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3309985586354 and 0.2.\nAnswer: -3309985586353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*w + 3 - 3)*(-1 + 1 + 2 + (2 + 3 - 3)*(1 + 0 - 2) - 1 + 1 + 7 - 4 + 3 + 2)*(0 - 2 + 0) to h + f*w and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*n = 0, z - n = -2*z + 15. Suppose r + 2*q + 199 = 43, z*r = 2*q - 664. What is r rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -565*y**3 - y**2 + 8*y - 2. Let a(v) = -565*v**3 - v**2 + 6*v - 2. Let u(r) = 5*a(r) - 4*s(r). List the prime factors of u(-1).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d + 329*d**2 + d**3 - 12*d**3 - d.\nAnswer: -11*d**3 + 329*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -2*h + 0 + 5\/12*h**4 + 1\/3*h**3 + 3\/2*h**2 + 1\/20*h**5. What are the prime factors of o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0*m = 36. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -69*l + l**2 + 8*l + 32*l - 39 + 21*l + 36*l. Determine h(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 133 = -7*s. Suppose -3*m + 1210 = s*m. Calculate the remainder when 604 is divided by m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (-3 + -1 + sqrt(2736)))**2)) + -1 - ((2*(1 + sqrt(2736))**2 - sqrt(2736)) + (-1 + sqrt(2736))*1).\nAnswer: -5490 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2327891 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4520939486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*y**3 + 23*y**3 + 7*y**4 + 5*y**4 - 3*y**4 - 4*y**4 + (y - 2*y**2 - y)*(2*y + 2*y**2 - 2*y) - 2*y**3 + y**4 + 2*y**3 - 37*y**4 - 13*y**4 - 3*y**4.\nAnswer: -51*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, d: 6, f: 3, c: 2, r: 1}. Give prob of picking 1 r, 1 d, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 2:43 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-9)*v**(1\/12))**44 assuming v is positive.\nAnswer: v**(-1177\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -678357714*c**2 + 598740970*c?\nAnswer: -1356715428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-1))\/(1848\/1320)*49\/12?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*l = 345*l - 372401598 + 33433360. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -198384.08 take away 62.1?\nAnswer: -198446.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*j - 26 = j. Let i be 200\/125*-1*1\/j. Which is the nearest to 0.3?  (a) -0.5  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 64 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -167905 to the nearest one thousand.\nAnswer: -168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + -3 + 4 + -1. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 - 28. Suppose 0 = -u - 1, 207 = y*n - 4*u + 33. What is the highest common factor of n and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 140 + -100. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 11*c. Let n(l) = 10*l**2 - 151. Give b(n(y)).\nAnswer: 110*y**2 - 1661","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d + 68 + 73 - 201, -16 = -m + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zndmymdyyd. Give prob of sequence dmz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68)\/(-12) + -4 - (-7)\/21. Suppose 37 = 7*i + m. Calculate the least common multiple of i and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/35 + -1 + 1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 8215.897 * 1\nAnswer: 8215.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 145 = 10*a. Suppose u + 6 = -3*x, 4*u - x + 1 = a. Let h be (28\/u)\/(20\/15). Does 4 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 8*t**2 - 5*t - 2. Let m be j(7). Solve -k = 2*u - 0 + 4, k - m = 2*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/((-495)\/54))\/(6\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(2) - sqrt(2)*-2) - (-2 + sqrt(99) - sqrt(11))**2 - ((sqrt(55)\/(sqrt(5)*-2))**2 + -3*(sqrt(11)*-2 - sqrt(11))).\nAnswer: -203\/4 - 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -140227 to the nearest 1000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + -1 + (-20)\/(-4). Suppose 0 = -16*o + 289 + 575. Let c be o\/(-36) - (-6)\/d. Solve c = n + 2*v + 8, 4*v = 5*n + v - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 11:42 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 465 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = m - 5*u, 3*m + 5 = -4*u + 2. Let s(k) = -2. Let a(c) be the third derivative of -c**4\/24 - 118*c**2 - 1. What is m*s(x) - 2*a(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 s when three letters picked without replacement from {s: 2, b: 1, r: 7, q: 2, h: 2, i: 1}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-12) - (-3)\/(-9). Let u(s) = s**2 - 3*s - 11. Let y be u(5). Which is bigger: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 177*b**2 - 88*b**2 - 90*b**2. Let k(q) = 19*q**2 - q. What is d(k(x))?\nAnswer: -361*x**4 + 38*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (21\/(-49))\/((-2)\/32) - (-6)\/(-7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 1\/4*k**4 + 3*k - 3 - k**2 - 1\/3*k**3. Is d(3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 34*a**3 - 3*a**2 + a + 1. Let r be i(1). Let s(c) = -64*c + r*c + 34*c. Let y(j) = 0*j**2 - 4*j**2 + 2*j**2 + j**2. Give s(y(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -568.3 + 568. What is the third smallest value in i, -0.2, 9\/2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 63 + 12. Calculate the remainder when f is divided by ((-2)\/(-1) + (-33)\/6)*1792\/(-224).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 12*r + 76. Determine i(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/(1\/15). Let b(c) = c + 1. Let d be b(a). Let x = d + 9. Sort x, 1, -1 in increasing order.\nAnswer: -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uppobpbpbsbuubub. Give prob of picking 1 s and 1 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 40 = -3*b - 3*r, -b + 32 = 5*r. Suppose 16*h - b*h = 20. Solve 0*d + h = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1319 * -2.53\nAnswer: -3337.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42102*s**3 + 89822 - 89822 + 43321*s**3.\nAnswer: 1219*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 51015269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*f**2 - 2*f + 5*f - 23*f**2 - 3*f.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3*m**2 + 81*m + 64. Let c be j(24). Let k = c - 175. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 42. Suppose 0 = 4*y + n - 41. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4720 - -4725. Sort 3, v, -1161 in ascending order.\nAnswer: -1161, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 - 22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123760*u + 16 = -4*c + 123756*u, 3*u = c + 4*c + 44 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 377310 and 440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -14311001 (base 5) to base 3\nAnswer: -21122210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**5 - 26*s**4 - 18*s**3 + 810*s**2 = 0.\nAnswer: -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 23 = -4*j, -5*j + 2*f = -j + 14. Let p = -0.01 - -0.41. Which is the second smallest value?  (a) j  (b) 3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7, 13, 19, 25, 31, 37?\n\"Answer: 6*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -314. What is the smallest common multiple of x and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {p: 10, l: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 14306990, 14307008, 14307026, 14307044, 14307062, 14307080?\n\"Answer: 18*p + 14306972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 335, -2\/9, -2\/11, -2\/3, 15 in ascending order.\nAnswer: -2\/3, -2\/9, -2\/11, 15, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - d. Give u(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 7*m**2 - 8*m - 10. Let z be q(8). Let c = z - -10. Suppose c = -3*d - g + 108, d + 4*d - 160 = 5*g. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35205746639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -860 + 869. Solve 6 = -i - 3*t + t, 0 = 5*i - 3*t - u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/5120 and 35\/129349632.\nAnswer: 646748160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 168, 144, 100, 30?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 106982*q**4 + 73636*q**2.\nAnswer: 2567568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.2 + 7.2. Let d = u + -10. Which is the third biggest value?  (a) -8  (b) d  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 82, 2\/31, -0.025?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of g + 61\/2*g**2 + 8 + 0*g**4 + 0*g**3 - 39\/10*g**5. Find the first derivative of u(b) wrt b.\nAnswer: -234*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.8 + -109.8. Let c = u - -102.9602. Let g = c - 0.2032. Round g to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -319 + 422. Calculate the remainder when s is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10\/1041 - 15833\/1388. Calculate the common denominator of u and ((-644)\/(-210))\/((-4)\/3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4*n + 2*x + 1891, -6 = 2*x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-60)\/75*(27\/(-66))\/(-3). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 65*n**3 - 398*n**2 + 389*n**2 + 3.\nAnswer: -65*n**3 - 9*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: c7 (base 13) to base 14\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 5*w**2 - 2*w. Let t be (-27)\/(-45)*15 + -11. Let g(r) = 6*r**2 - 2*r - 1. Give t*g(v) + 3*i(v).\nAnswer: 3*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-1*sqrt(245) + -1)*-3)**2 + -1.\nAnswer: -252*sqrt(5) + 8828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/(-8))\/(84\/19264). Let q = 607 - x. Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -4  (c) 5  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1862\/(-1715) - (5 - 6))\/((-7)\/(49\/4))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -4.5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/6*(-1008)\/56 - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvavvvvavvvvavvvvvv. What is prob of picking 1 v and 2 a?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 10:50 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 10:09 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -8*y + 10. Let m be s(2). Is 14 a factor of m\/15 + 12328\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38 + 55. Let h(c) = v*c + c + 16*c + c. Let t(w) = -12*w. Let a(l) = 2*h(l) + 7*t(l). Let q(r) = 2*r. Give a(q(n)).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130697745 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-5 + 3) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, f: 2, d: 1, q: 1, h: 1, p: 1}. What is prob of picking 1 f, 1 h, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 522 + -630. Suppose -4*h + 0*h = f + 421, 5*h + 5*f = -515. Let p = h - x. Solve 2*y = 4*c - 16, p*y - 21 = -5*c + 4*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + 89. Suppose 4*h - 83 + 11 = -4*m, 4*m + g = 5*h. What is the remainder when 40 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**6\/3 - 26*m**5\/5 - 49*m**4\/2 + 26*m**3\/3 + 48*m**2 - 531. Suppose j(o) = 0. What is o?\nAnswer: -3, -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + d + 9. List the prime factors of c(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45045)\/14586*1054\/(-31)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 85*u**2 - 1979*u + 533. Determine r(23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 72*p - 588 = 9*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 442524159 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -18\/7 + 12\/7*k**3 + 72\/7*k - 58\/7*k**2 = 0.\nAnswer: 1\/3, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67297910*x**5 - x - 61861797?\nAnswer: 1345958200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/4  (b) -6  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -5*k + 4, u = -5*k - 4203 + 4215 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 21, -255, -9 in increasing order.\nAnswer: -255, -9, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 5*d + 5 - 25, 4*d - 12 = -3*q. Let o be (0 + d)\/((-4)\/2). Solve -z = -o*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 54816912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -47.7 from -54158.1057.\nAnswer: -54110.4057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 709792617*s - 709792617*s + 12*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3*c**2 - 556*c + 46914. What is m(63)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 + -26. Let o be (-2)\/(-38) + 341\/19. Is o at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(3 + (-18)\/8). Let v = 1352 + -1352.3. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -4 - (0 + 4) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*o**2 - 3*o**2 + 4*o**2)*(0*o + 3*o - 2*o)*(1 + 7 + 13) - 37*o**3 + 1 - 3 + 39*o**3.\nAnswer: -229*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27448760*j**2 + 25627223*j.\nAnswer: 54897520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11356993, 11356963, 11356933, 11356903, 11356873, 11356843?\nAnswer: 11356813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -9688, 11\/10, 4?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3804 - 3789 = 0. Solve -2\/5 + 4\/5*k**2 + 4\/5*k**u + 16\/5*k**3 - 4\/5*k + 14\/5*k**4 = 0 for k.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 14\/4*(3 + 0 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-44723)\/(-6) + (-91)\/(-78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/110)\/(123\/205)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 283358*d*o**3 + 5*d*o**2 - d*o - 4399*o**2 wrt o?\nAnswer: 1700148*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14, 1\/5, 3\/2, 4, 5, -12, -42.5?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 1, -4, -40, 2, 3.\nAnswer: -40, -13, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (67 - 20460\/308)\/(8\/532).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/5187 and -1\/26.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -19*s**2 + 127*s - 539. Determine b(6).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 579*q = 69*q - 16667 - 7303 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 8:05 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -791*y + 498 + 1084 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = u - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/54*(63 - -8 - -7).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 10:04 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7 and -2636650.\nAnswer: -2636657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {b: 7, o: 3, u: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 369 and 20623.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = -0*a - a. Let t = -58 - a. Calculate the remainder when t is divided by -7*(-9 - 432\/(-56)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -30*u**2 + 11. Let f(q) = -16*q**2 + 6. Suppose 86*w + 24 = 90*w. Let g(o) = w*b(o) - 11*f(o). Let n(i) = i**2 - 19*i. Give g(n(j)).\nAnswer: -4*j**4 + 152*j**3 - 1444*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 10*p - 495*p - 35*p.\nAnswer: -540*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + 565\/7 - 54\/(-189)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1805680781 to 3 dps.\nAnswer: -0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 29*n**3\/6 - 49*n**2\/2 + 29*n. Is i(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/3)\/(u*(u\/(u*u**0))\/u*u))\/(u\/(u*u**0\/u))**(-6) assuming u is positive.\nAnswer: u**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -379*b - 10191. Let t be c(-27). Solve -107*f + 100*f = -t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 336\/(5 + -4) + -3. Suppose -3*h + o = -i, -h + 2*i + 330 = 2*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 18*n - 9. Let i be p(17). Suppose -2 - i = -2*v. Suppose 5 + 2 = r. Solve 4 = -2*m + a, -5*m - r = 4*a - v*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*a - 4 = 0, -2*w - 2 = 4*a - 8*a. Let o be -1 + w + 0 - -10. Suppose 4*l = 187 - 27. Calculate the greatest common divisor of l and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116669740417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -28660 or -1438?\nAnswer: -1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 0. Let n(r) = 15*r + 1. What is the tens digit of n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a - 73 = -19 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h. Let b(m) = 2*m**2 + 59*m - 4. Determine z(b(a)).\nAnswer: -2*a**2 - 59*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 34 = -51. Let n be (-38)\/(-8) + 2\/8. Let r = n + b. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 11:05 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 472618562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 0*m + 0*m - 13*m**2 + 12*m**2. Let p(x) = 3*x. Calculate y(p(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-3) + (-56)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 + 1474593?\nAnswer: 1474606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 135\/30*8\/12. Let p = 2 - 2.2. Which is the nearest to -0.1?  (a) -2  (b) p  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -1\/2474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/(-2)*3955134*25\/225 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {x: 2, o: 3, w: 6, c: 2, p: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yrjfyjyffrfffjfyrr. What is prob of picking 2 r, 1 y, and 1 f?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-2) - (-550)\/75. Suppose a - 2*f + 6 - 3 = 0, 31 = 3*a + 4*f. Let o = -3 + a. Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53c (base 15) to base 11\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 (base 6) in base 14?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17343 + -17261. Solve -5*d - 4*k - 21 = 0, -5*d + k + n = 108 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 4*v**2 + 2*v + 3. Let z(n) = -n**2 - 9*n - 6. Let d be z(-8). Suppose 9 = -a + d*a. Suppose 0*f + 3*f + a = 0. Give y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81994908349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2969.3 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -45*k**8\/56 + 145*k**4\/4 + 2*k**2 + 389*k. What is the second derivative of f(t) wrt t?\nAnswer: -5400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 457*y + 101*y + 273657 = -2392*y - 1851*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(294)\/sqrt(3)*-3*6.\nAnswer: -126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 200451301 (base 6) in base 7?\nAnswer: 40606126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1312a13 + -3a?\nAnswer: -1312a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, o: 4, w: 3, p: 2}. What is prob of sequence vo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in 5, 2, -68, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 4:51 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9828\/5670 + 18\/5?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 14*j**3 - 39*j**2 + 18*j - 44. What is the thousands digit of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 4*p**2 + 5*p + 1 - 6*p. Calculate t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 9*d - 6. Let p be o(-10). Let a = -8 - p. Suppose -2*v = -3*x + 20, 3*v - v + a = x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 4*g - g - 3 - 2*g - 2. Let f be w(6). Sort -1, -2, f in descending order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9b01ab (base 16) to base 9.\nAnswer: -21102760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140693 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 194250 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -55*s + 28*s + 25*s. Let b(w) = -3 - 4 - 100*w**2 + 98*w**2. Calculate u(b(j)).\nAnswer: 4*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 6 = q. Let o = 36 - q. Suppose -5*d - 2*p + 231 = 0, -p + 233 = 43*d - 38*d. Calculate the remainder when d is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 27*y. Let k(b) = -21*b**2 + 55. Let j(m) = -7*m**2 + 20. Let l(g) = 11*j(g) - 4*k(g). Calculate d(l(r)).\nAnswer: 189*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 1) + (-35 - -23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 517920 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -59195261 + -0.0089.\nAnswer: -59195261.0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 10200320021 (base 4) to base 14\nAnswer: 22b2d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y + 1. Let d be q(1). Let t(j) = 5*j**2 - 2*j + 1. What is the units digit of t(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -387 - -556. Calculate the remainder when r is divided by 174\/10 + 3\/(-30)*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 70*z**2 + 623*z + 81. Calculate x(78).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5055157 to the power of 1\/2, to the nearest integer?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 39*h**2 + 6*h + 1 - h**3 + 45*h**2 - 78*h**2. Calculate p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.93 + -0.07. Let p = 4 - 3.6. Let n = 18\/5 + -57\/20. Which is the third smallest value?  (a) t  (b) p  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46050664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10279 by 7099.\nAnswer: 10279\/7099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q - 14*q - 11*q - 3*q to z*q + g and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 3*h**2 - 6*h + 2. Let p be (-11)\/3*(0 - -9). Let r be p\/(-9) + (-8)\/(-6). Is o(r) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 78\/5  (b) 0  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 11*a**2 + 5*a + 3. Let q be c(-1). Is 3\/(q*(-2)\/(-11586)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2568778131.\nAnswer: 3, 19, 45066283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 148131974453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 30 = 5*o. Let i be (-6 - (-99)\/18)*(-2)\/o. Let -16\/5 + 24\/5*d + i*d**3 - 9\/5*d**2 = 0. Calculate d.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*d**2 + 6010*d + 2004.\nAnswer: -2*(d - 1002)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1959147432?\nAnswer: 2, 3, 11, 29, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/9 - 8\/(-8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/186 and 61\/8766.\nAnswer: 271746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + t - 3*t)*(-118*t**2 + 32*t**2 - 75*t**2) + (-6*t + 2*t + 3*t)*(-2*t**2 - t**2 + t**2) + 0*t**3 - t**3 + 3*t**3.\nAnswer: 326*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/3)\/s*(s\/s**(3\/4))\/s)\/(s\/(s**(2\/23)\/s)*s\/s**4)*(s*s\/s**(-1))\/(s*s*s**(-1\/6))*((s\/(s\/(s**(-3)*s)))\/s)\/s**(5\/3) assuming s is positive.\nAnswer: s**(-1333\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*v**2 - 7*v**2 - 21*v + 10*v**2.\nAnswer: 3*v*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -797*f + 797*f - 99*f**2 + (4*f - f - f)*(-20*f + 24*f + 17*f).\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 36052 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 6*i + 2. Calculate w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -0.06, 385, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 93580 + 3103 = 102*l. Calculate the remainder when l is divided by 116.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 + 5*c - 3. Determine l(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -11*v**3 + 15*v**2 + 6*v - 4. Calculate o(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6980768 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide (-3)\/(-15) - (-6220)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 6*d = 36. Let x = 3 - d. What is the lowest common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i + 4*i + 4*d - 30 = 0, -3 = 4*i + d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-20) + (-12)\/(-30))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*d - 9 = 21, 3*x + 2*d = 40. Let y = x - 7. Find the first derivative of -22*c - 11 + 22*c + 4*c**y wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a + 12. Let s be m(-8). Is 25 a factor of -1*(-8 + s - 37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 15455*u**2. Let b(s) = -2*s. Determine q(b(i)).\nAnswer: 61820*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.5 and -81.5368.\nAnswer: 122.3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2505995525.\nAnswer: 5, 11, 179, 50909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 100 = -81*b + 97*b - 2, -2*s - 57 = -b for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 22 + (8 + -7 - (5 - -4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 14*w**2 + 21*w - 26. Let h(j) = 3*j**2 + 192*j + 1032. Let i be h(-6). Calculate f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -91 + 310. Suppose -5*m**3 + 6*m**3 - w*m**2 + 219*m**2 - 4*m = 0. Calculate m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220970 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 116.007492 - 116. What is y rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.1 - 16.08?\nAnswer: -58.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -17516954.\nAnswer: 3503390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19579521 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 246 divide 11803491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -454895*n**2 + 14265*n. Let a(x) = 638*x**2 - 20*x. Calculate -2853*a(h) - 4*w(h).\nAnswer: -634*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 13, -256, -3, 5, -5 in ascending order.\nAnswer: -256, -5, -3, -2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -401, -733, -1063, -1391?\n\"Answer: v**2 - 335*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 5267478?\nAnswer: -1\/877913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1624 - -0.8376. Let z be 2\/5 - (-2)\/45. Which is the third smallest value?  (a) z  (b) -5  (c) q  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -153 greater than or equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2232*x + 2503 - 1246 - 725*x - 1257 to d*x + p and give d.\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37 and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {t: 2, c: 6, v: 1, u: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**5\/5 + 1612*c**4\/5 - 82778*c**3\/5 + 1177432*c**2\/5 - 2112968*c\/5 + 1016704\/5 = 0. Calculate c.\nAnswer: 1, 26, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*w, 2*w - 2 = -2*t - 2*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100011011100110110 (base 2) to base 4.\nAnswer: 203130312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y**2 - 2*y - 3. Let s(a) = -9*a**2 + 5*a + 8. Suppose -c + 6*c - 40 = 0. Let k(o) = c*w(o) + 3*s(o). What is the second derivative of k(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 - 0.5. Let w = 13 + -21. Let q = 7.99 + w. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -331b - 290?\nAnswer: -35ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13256553155 + 3?\nAnswer: 13256553161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -8749.\nAnswer: 43745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bf when two letters picked without replacement from fbbfbuffuffubfbu?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 5*u + 46 - 6, 10 = -3*u - 4*m for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000148713 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*l*v**5 + 260702921*l*v**2 + 86919219*v**5 wrt v?\nAnswer: -120*l*v**2 + 5215153140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -9*a - 4. Let d(n) = -1. Let j(b) = 4*d(b) - w(b). Let i be j(1). Suppose -c + i = -4. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (238*10 - -2)\/((-3)\/(-2)). Let j = r - 1041. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 2*o - 1277*o**2 + 355 + 1276*o**2 - o as a*o + x*o**2 + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 3*i**2 + 5*i + 2. Calculate o(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2236, 5111, 8632, 12799?\n\"Answer: 323*c**2 + 1906*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(96)*3)\/((sqrt(32) + (sqrt(352)*-3)\/sqrt(11))\/sqrt(4)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2759, 2716, 2675, 2642, 2623, 2624, 2651?\n\"Answer: a**3 - 5*a**2 - 35*a + 2798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 241 - 159. Suppose -x + 860 = 2*p. What are the prime factors of p?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40\/41 - 201\/164. What is the second biggest value in -9, 0, -3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231438 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 27299863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1043\/(-7))\/((-1)\/3*3). Let p = -114 + u. What is the second biggest value in p, -0.1, 2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-1) + -4 + 8. Sort -2\/11, t, 1 in increasing order.\nAnswer: -2\/11, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjrjrujubvdjjjvj. Give prob of sequence rb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence puc when three letters picked without replacement from {u: 4, c: 1, q: 1, f: 2, p: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o + 185. Calculate the remainder when 33 is divided by i(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*p + 10*p + 34 = 0, 5*p = 5*i - 50. Suppose 0 = -5*a - i*a + 506623. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/2 + 39405*h**2\/2 + 157596*h + 315176.\nAnswer: (h + 4)**2*(h + 39397)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -4*w - 5, 5*s - 3*w + 0*w - 30 = 0. Suppose 0 = -c - 2*q, -s*q = c - 0*q + 3. What is the smallest common multiple of c and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t + 288 = 0. Suppose 3*n + 282 = -3*f, 52*n - 47*n + 110 = -f. Let u = f + t. Calculate the remainder when 14 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000617 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/56 and (-88)\/22 - 7\/(-16)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 494 + -499. What is the biggest value in -0.05, l, 3, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -68 - -74. What are the prime factors of 2 - g\/(-4)*226?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 206856671 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = m - 5*t - 9, 6*t - 30 = -3*m. Solve 0 = -0*s - 4*s + 5*c + 26, m*c - 4 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8134861*j**4 - 6522338 with respect to j.\nAnswer: 32539444*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 230, -2, -166 in descending order.\nAnswer: 230, -2, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 482*t = 329*t + 3060 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -62*v**2 - 236*v**5 + 42*v**5 - 71*v**2 - 10*v**2 + 429*v**2 wrt v?\nAnswer: -11640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n + 3. Let j be h(0). Let v be ((-4)\/6)\/((-16)\/312). Solve 4 - 7 = j*w, -w = -4*f + v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202234*b**3 - 1 + 0 - 202200*b**3 + 1.\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 9 = -3*n. Let l be 22 + 2\/(4\/(-6)). Let t = l - 16. What is the lowest common multiple of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 243070 and 2230.\nAnswer: 243070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/6 + (-25)\/(-60). Let f = 1279\/584 - -35\/584. Factor -f + v*i**2 - 3\/2*i.\nAnswer: 3*(i - 3)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 616452583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 3\/8, -0.2, -0.3, -1\/2, -1\/4, 4\/27?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 118056*b + 57. Let m(p) = 28*p. Determine m(u(h)).\nAnswer: 3305568*h + 1596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -3331*p**2 - 14*p. Let r(b) = 1110*b**2 + 5*b. Determine -11*r(i) - 4*y(i).\nAnswer: 1114*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**2. Let v(z) be the second derivative of -49*z**4 + 3035*z. Calculate p(v(a)).\nAnswer: -1382976*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from bkkjkbkkkkbbkbbbkbbb.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63, -5, 5, 4 in descending order.\nAnswer: 63, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.9 - 3.9. Let d be (-3)\/2*(-4)\/3. Suppose -4 = -d*h + 6*h. Which is the third smallest value?  (a) s  (b) 3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 1)*(20*f + 19*f - 9*f) + (3*f - 2*f + 0*f)*(-27 - 2 + 8) to the form i*f + r and give i.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-45)\/2))\/(74\/(-111))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9266905465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.37992578 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of 11*c**2 + 0*c**4 + 0 + 0*c + 1\/6*c**3 - 1\/60*c**5. Let n(v) = -2*v**3 + 5*v**2 - 2*v - 7. Give -n(k) - 5*y(k).\nAnswer: 2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3*h - 5*h - 2 = 0, 4 = -3*k - 4*h. Suppose 0 = x - k*x - 1837. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 3*h**2 - 5*h + 4. Let d be f(4). Suppose 3*q + 2*q - 5 = d. Factor -5*g**2 + 3*g**2 - q - 2*g + g**2.\nAnswer: -(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)\/p**(-2\/11))\/(p**(-2\/3))**(-3)*p**5\/(p*(p*p*p**(-2))\/p)*(p\/p**(-6)*p)\/(p**(3\/10)*p) assuming p is positive.\nAnswer: p**(427\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*l + 39. Is 262\/(-3)*l\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84519*-3940\nAnswer: -333004860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-90))\/((-15)\/(540\/(-48)))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1251?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/425 and 149\/101670.\nAnswer: 8641950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1216\/171*(126\/(-672))\/(1\/(-4)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003472568 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 3:22 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*a - b + 155, 5*a + 4*b = 256. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*n + 9481 - 33349. What is the lowest common multiple of 546 and n?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3\/325, -3\/4, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s - s**2 - 1 - 8 - 3 + 0 + 6 + 0. Let p = 1 + -1. What is r(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b**2 + 6 - 6)*(3*b - 2*b - 5*b)*(0 + 3*b + 0).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77869222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1293, 1272, 1229, 1158, 1053?\n\"Answer: -z**3 - 5*z**2 + z + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2586066.\nAnswer: 2, 3, 7, 67, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express w**3 - 48*w - 3*w**2 - 5*w**3 - 1 + 4*w**4 + 7*w**4 - 10*w**4 + 2*w**3 as r*w**2 + s + a*w**4 + u*w + o*w**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/3 + 67*u**2 + 9767*u\/3 - 10379.\nAnswer: (u - 3)*(u + 97)*(u + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 64b3a2 (base 12) to base 2\nAnswer: 110000101100001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -35 - -44. Let l(y) be the third derivative of y**6\/60 - y**5\/15 - y**3\/2 - y**2. Let f(g) = -5*g**3 + 9*g**2 + 7. What is z*l(k) + 4*f(k)?\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by 48?\nAnswer: -11\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/((-2667)\/(-4572)*16\/14).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 4*c - 7056, -c = 25 - 30. What are the prime factors of i?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in twenty-one fifths of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 - 78 = 9*b. Let o(h) = 2*h**2 - 6*h + 4. Let v be o(1). Solve b = -w - f, v = -3*w + 4*f - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 295*o**8\/336 - o**4\/12 + 25*o**3\/6 - 74*o**2 + 4*o. Find the second derivative of w(k) wrt k.\nAnswer: 5900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 2*u**2 - 3*u + 1. Let f be m(4). Solve -3*l + g = -14, 2*l - g - f = 2*g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 515 or 528?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 550560541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*a**2 + 75*a**2 + 22*a - 22*a + 41*a**2 - 62*a**2.\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -20*b**3 - 8*b**2 - 9. Let r(q) = 7*q**3 + 3*q**2 + 3. Let c = -900 - -902. Suppose 4 = -2*y + c*z - 6, -3 = 3*y + 3*z. Calculate y*s(m) - 8*r(m).\nAnswer: 4*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -214  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + i**2 - i + 30. Suppose -6*b = -4*b. Give u(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 7*y + 23. Let r be q(-8). Let g = -36 - r. Let c be 28\/16 + g\/(-12). Solve -3*s + 4*s = -c*v - 3, 3 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 5 = 15. Let m be 2\/y - (-9)\/2. Suppose m*t = -t + 70. What is the remainder when 40 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + u - 44, 0 = -3*n + 10*u - 5*u + 33. Solve v + 3*g = 3*v - 1, 0 = -2*v - g - n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.9 + -1.9. Let r = 1 + q. Let g = -1\/7 + -1\/7. Which is the closest to g?  (a) r  (b) 1\/5  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/11)\/i)\/i*i*i*i\/i**(-2\/7)*(i**(-1\/10)\/i)\/i**(3\/5))**41 assuming i is positive.\nAnswer: i**(-18819\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 134182715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, x: 1, t: 6}. Give prob of picking 1 t and 3 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x - 38 + 38 - 5*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 6. Let j = -3\/130 + -1\/13. Let q = -77\/16 + 815\/176. What is the nearest to l in j, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -3, 0, -1, 19 in descending order.\nAnswer: 19, 0, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89 + 3*o**2 - 202 + 55 + 60 + o**2.\nAnswer: 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2183.8 - 2184. Sort -1091, -4, 2, a, 5.\nAnswer: -1091, -4, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - y**2 - 2*y + 2. Let m be v(2). What is the derivative of 2 + 2*z**3 + 2*z**3 + 2 - m*z**3 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17456589.\nAnswer: 3, 1939621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clkijvjjjkliik. What is prob of sequence vj?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -183765, -183763, -183761?\nAnswer: -183759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/(-2))\/(-1) + 2. Let s(j) = -j**3 - 6*j**2 + 15*j - 6. Let q be s(-8). What is the second derivative of 0*m**2 + 2*m**b + 2*m - m**2 - 3*m**q wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 96  (b) -3  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of p**4\/24 + 10*p**3\/3 - 18*p**2. Let c be w(-15). Solve 0 = -r + 2 - c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 2 + -5 - -2*sqrt(272)*1.\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 1.1532?\nAnswer: -0.5766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2. Let x(o) = 58*o - 6. Let k(j) = -58*j + 8. Suppose 0*h = 5*n + h - 22, 5*n + 3*h = 26. Let g(d) = n*x(d) + 3*k(d). Give z(g(u)).\nAnswer: -6728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let r be (21\/(-14))\/(3\/(-4)). Suppose -r*q = -0*q - 12. What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 292*s - 48609 + 6561 = 0. Let v = -11 + 17. Calculate the highest common factor of v and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 1456.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1586512575.\nAnswer: 3, 5, 31, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1984 and 98220152.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2867 and 4331?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 3*r + 72 + 58 = 0, -3*i = 3*r - 78. Let j be 2 - (1 - i\/2). Let w = 26 - j. Calculate the highest common divisor of 84 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 5*p**6\/72 - p**3 + 2. Let n(r) be the third derivative of y(r). Is n(-1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/((-185)\/10 + 11). What is the second smallest value in -1\/40, -2\/17, v, 1\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 27154.176 nanoseconds?\nAnswer: 0.0000004525696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -234, -119, -4, -0.38, 0.2 in descending order.\nAnswer: 0.2, -0.38, -4, -119, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 900096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25.5853 - 9.5853. Let q = -7.7 + 8. Which is the second biggest value?  (a) z  (b) -3\/5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.85 - 0.15. Let x = 6 + k. Which is the second smallest value?  (a) 0  (b) 1\/8  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b + b**4 + 2*b + (0*b**2 - 3*b**2 + 5*b**2)*(-72*b - 82*b - 5*b)*(-b + 1 - 1).\nAnswer: 319*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (0 + 2 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 28a3 (base 11) to base 13\nAnswer: 191c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -5  (c) -0.3  (d) -0.6  (e) -14177  (f) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(252) + -2)**2 - -4*(-1 + sqrt(252)).\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2204598 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/9*(-30)\/(20\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, 1\/207, 0, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*v - 989, 4*v - 1014 = -5*c + 649. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 3\/((-234)\/(-79)) - (-4978)\/32357?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -56 + 60. Suppose -4*d = 4*b - 13 - 7, -b - 19 = -5*d. Calculate the remainder when b is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -5, -3, 10, 0.1, -0.00106?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -351*c + 219*c + 156*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7276 + -1?\nAnswer: -7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 34195 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-30))**(-2)*(l*(l*l**(-1\/2))\/l*l)\/l**(-35) assuming l is positive.\nAnswer: l**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 28 and -421086.1.\nAnswer: -421058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 365 and 63656.\nAnswer: 318280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1058071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 10 - 276 = 0. Let b = z - -366. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -8*n + 42. Let u be t(6). Let v be 1\/(-2)*(-15 + 9 + u). Solve -5*s - v = 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 3*g - 0*g. Solve g = -i + 4*l - 4, -4*i - 2 = -2*i - 2*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**3 - 5635*r**2 + 5381 with respect to r.\nAnswer: -6*r**2 - 11270*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19464878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 4:31 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -361.3 - -362. What is the second biggest value in l, 3\/5, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208 - 165 - (-6 + 87 + -1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-15)\/(-24)*2\/5. Let z = -237.468 + 0.468. Let o = z + 239. Sort -2, 0.4, b, o in decreasing order.\nAnswer: o, 0.4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + 9*c**2 - 5*c - 10. Let a = 23 + -17. What is the least common multiple of a and p(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1743 - -1743. Let b(t) be the first derivative of 14 - 2\/3*t**3 + w*t**2 + 0*t. Let j(u) = -15*u. What is j(b(v))?\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15*(-5 + (-102)\/(-18)). Let w(f) = -7*f**2 + 10*f - 8. Let z(n) = 15*n**2 - 20*n + 17. Let t(o) = 13*w(o) + 6*z(o). Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -362*v + 4892 + 2096 + 7492 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1\/37 - 33\/148. Which is the nearest to -3\/5?  (a) -1  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tgxg when four letters picked without replacement from gggxt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (2 - 12) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -4. Suppose -4 = i*o - 10. What is the remainder when 12 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 292190 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 70 + -9 + (-5 - -6 - (35 - 33))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1928, 3854, 5780, 7706, 9632, 11558?\nAnswer: 13484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*1*16\/(-4). Let k = 2 + x. Let o = 26 + k. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30079, 30158, 30237, 30316, 30395?\nAnswer: 30474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21384*d**2 - 71*d**3 - 16 + 16 + 21384*d**2.\nAnswer: -71*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-2)\/(48\/(-18))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 562*k. Let t(j) = 3*j. What is a(t(f))?\nAnswer: 1686*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 306 + 167 + 169 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 95 = 25*s, s = -50*n + 48*n + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-6))\/((-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4*r**2. Let c(b) be the second derivative of 7\/6*b**4 + 0*b**2 + 0*b**3 - 8*b + 1. Calculate c(t(x)).\nAnswer: 224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, s: 2, l: 3, c: 1, b: 4}. What is prob of sequence bsb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 701*r - 11 = -f + 699*r, 2*f = -5*r + 27. What is the smallest value in f, -3, 3, 3\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 38112 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 11:10 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 75575233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 29 + 3 = -3*w, 28 = -3*w - 5*g. List the prime factors of ((-10)\/(-2))\/(-6 - w) + 508.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30784 and 78?\nAnswer: 92352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a2aa30 + 2?\nAnswer: -1a2aa2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*f + 6443 = 20875. Sort -6, 5, f in descending order.\nAnswer: f, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2553651770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 26 = -3*v - 11, -2*g + 18 = -2*v. Suppose -4*p = -3*j + 86, -3*j + 61 = 2*p - 49. Solve 7*s = 2*s + 5*t - 10, 3*t = -g*s - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 1) + (15 - 13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -53dad (base 14) in base 9?\nAnswer: -338430","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 17 = -47. Suppose 2*s + 5*d = 2, 5*s - 2 = d + 3. Suppose 5*r + s = 3*z + 12, z = -r + 7. Solve -4*a - b = -r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5337 - -9616. List the prime factors of p.\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d**2 + 22*d + 50. Let i(u) = -u**2 - 8*u - 17. Let w(r) = 17*i(r) + 6*m(r). What is the remainder when 29 is divided by w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - sqrt(4617)\/sqrt(3)) + (sqrt(1539) - (sqrt(1539) + 2)))**2.\nAnswer: 32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12134 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 3318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 8*f - 3*f + 6177, 2*f + 24780 = 4*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, u: 1}. Give prob of sequence du.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*k + 216 = -2112*t + 2117*t, -5*k = 4*t - 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2 + 50860*m + 50856.\nAnswer: 4*(m + 1)*(m + 12714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(11 - 4 + 26)*(-2975 + 134*u + 2975).\nAnswer: 8844*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*k - 16920 = 0, 0 = 79*w - 76*w + 3*k - 50655. Is 68 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 5*x**2 - 3*x - 2. Let t be a(-1). Let n be (-1 - -2)*12\/t. Solve -2*u + 2*s = n, 4*u + 2*s + 20 = -2*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22231133889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 5. Let d = -14 - -22. Let f be w*-2*d\/(-16). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**3 + 2*w**3 - 4*w**3)*((2 - 2 - w)*(-w + w - 2*w) - 13*w**2 + 13*w**2 - 5*w**2 - 2 + 4*w**2 + 2).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f + 68 = -12. Let d(w) = -3*w - 5 + 2*w - f*w. Let s(o) = 1 + 5*o + 0 + 2. Calculate 4*d(a) + 7*s(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 at least as big as -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4481 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**4 - 240*k**3 + 3195*k**2 - 10680*k + 7728 = 0.\nAnswer: -92, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 46c - 52?\nAnswer: 41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l - 61. Let p(i) = -3241*i**2 + 3*i + 1. Give w(p(x)).\nAnswer: -3241*x**2 + 3*x - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.5 + -1. Let f be 78*3*(-16)\/108. Let p = -34 - f. What is the nearest to 1\/5 in b, -4, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/36109903 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/8)\/(35\/(-720)*-18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.13  (b) 2  (c) 0  (d) -3  (e) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z + 1. Let v be b(-4). What is the remainder when (4 - 29)*(-3)\/(105\/49) is divided by 50\/6 - 2\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**2 - 5*d**2 + 5*d**2)*(-95*d - 817*d - 524*d + 89*d - 281*d).\nAnswer: 1628*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 16164 - 460 - (0\/1)\/((-1)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6176, -24835, -55922, -99431, -155356?\nAnswer: -223691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9, i: 1, z: 2, f: 7}. Give prob of picking 1 z and 2 p.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**5\/5 + 2*c**4\/5.\nAnswer: c**4*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1977 is divided by 1952.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -91*i**2 - 6*i - 1. Determine y(1).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m + m - 3*m + (3*m - 4 + 4)*(-4 + 2 + 0) + m + 1 - 1 - 24*m - 309 + 309 in the form t*m + o and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c**2 + 2*c - 1. Let m be a(-2). Let w = 39 + m. Calculate the smallest common multiple of w and 0 + -3 + -15*(6 + -7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2*b = 13, 0*u + 40 = -4*u + 5*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = 5*p - 3, -3047*p + 3043*p = 3*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 6*d - 5. Calculate t(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*c = -4*c + 37744. Calculate the remainder when c is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-9 + 83) - -10) + -12 + 23?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2535.1 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16796105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*v = 25 + 47 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 11 = -3*f, f - 14*b - 2 = -9*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/428 and 79\/8988?\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3218137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/8 and 81\/11693162.\nAnswer: 46772648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 704780.\nAnswer: 2, 5, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 6500 = 16*i. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) - -3*sqrt(133))*4)\/(sqrt(2058)\/sqrt(6) - sqrt(7) - sqrt(7)) - (sqrt(95) + (sqrt(95) - (sqrt(95) + sqrt(95) + 2*sqrt(95)))*6)\/(2*sqrt(5)*2).\nAnswer: 149*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -916924180 to the nearest 1000000.\nAnswer: -917000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 112519021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21603 is divided by 313.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 107438740 to the nearest one million.\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -12*o - 8*o. Suppose 0 = o*h + 2*i - 3560, -2*h + 1030 = -5*i - 750. What are the prime factors of h?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 0*b**2 - 2*b - 2*b - 4 + 2*b**2 + 0. Let s(r) = r**2 - 3*r - 3. Let t be (-15)\/5*(0 + 1). Give t*j(c) + 4*s(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.6 - 7.925. Let n = m + 0.248. What is n rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3b82336 - -4?\nAnswer: 3b8233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 5*p - 19 = 0, -26 = -2*s - p + 5*p. Is 7 a factor of 0\/s + 14 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 4*t**3 - 80*t**2 + 204*t = 0.\nAnswer: 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7 - (3 + 879\/(-3)) is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*-15 - 11566464\/(-105920)?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**5\/8 + 15459*f**4\/8 - 90138*f**3 + 1478631*f**2\/2 - 1133532*f = 0.\nAnswer: 0, 2, 8, 37, 5106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 3*a = 120. Suppose 0 = 2*j + 4*u + 16, -2*j + 0*j - a = 5*u. Factor 3\/5*y**3 + j + 2\/5*y - 1\/5*y**4 + y**2 - 1\/5*y**5.\nAnswer: -y*(y - 2)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(14\/6 + -4 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5 + -5 + 3 + sqrt(72) + 2)*-4)**2 + -1.\nAnswer: 24000*sqrt(2) + 38799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 1:22 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 483?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -3 - -18 - (12 + (-24 - (4 - -2))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (104\/(-16) + 6)*4\/2. Let r(x) = -3380*x + 7. Is r(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of g**4\/12 - g**3\/6 + 31*g**2\/2 - 135*g + 5. Calculate p(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000039318 rounded to 7 decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 2*h + 6, -2*t + 10 = t + 2*h. Suppose 4 = -t*o, -5*c + 2*c + 3*o = -6. Solve 2*i + c = 3*f + 3, 2*f = 2*i + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3 + 1)\/(-1) - (-1890)\/7?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26055 is divided by 4985.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27461 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101 + 1100000?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8263164?\nAnswer: 2, 3, 7, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from omoommoommoocmobomm. What is prob of sequence mcb?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 AM and 12:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 8:22 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -824\nAnswer: -247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -0.4  (b) 4\/7  (c) 0.5  (d) 0.04  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71\/2 + 853\/24. Let g(s) be the third derivative of 0 + 0*s + 0*s**3 - 2*s**2 + z*s**4. Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-8)*(-1)\/(-6)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 62*z + 25. Let i(c) be the second derivative of 0 + 0*c**3 - 5*c + z*c**2 + 1\/3*c**4. Let s(j) = j**2. Calculate s(i(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1145c - 13?\nAnswer: -11472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-1*15\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*n = -5. Suppose 0 = -t + n*z - 3, -3*z - 3 = -4*t + t. Suppose -248 = 78*p - 404. Solve -m + p = c, -t*m = 4*c - c - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of (-2)\/11 + 794\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2994 divided by 6.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8\/5)*z)**(-38)\/(z**(-1\/5)\/z**26) assuming z is positive.\nAnswer: z**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 185, 357, 517, 659, 777, 865, 917?\n\"Answer: -l**3 + 179*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -127 by 17117.\nAnswer: -127\/17117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-48))\/((-2)\/(-6)). Let p be -2*(-1 + 1\/2). Let q = -1 - -1.2. Which is the closest to p?  (a) q  (b) r  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27283 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24081757 is divided by 2623.\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 124 + -866\/7. Suppose 0 = 5*j - 5*s + 4*s + 3, 3*j = -5*s + 15. Let t = -0.72 + 0.92. Which is the closest to f?  (a) -2  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 7*w**2 - 5*w**2 - 3*w + 3*w**3 + 1134*w**4 - 1135*w**4 as f*w**2 + g + m*w + v*w**3 + r*w**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 634261 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*1*(-2*-2*sqrt(171))**2 - (((sqrt(114) - (sqrt(114) - sqrt(114)*1))*-2)\/(sqrt(6) - (sqrt(6) + sqrt(486)*-1)))**2.\nAnswer: -664924\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.1, 5, -135\/8, 46 in decreasing order.\nAnswer: 46, 5, 2.1, -135\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*v + 7437680 - 7436030 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25\/3, 2, 1\/3, 1662\/11 in ascending order.\nAnswer: -25\/3, 1\/3, 2, 1662\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1 + 5 - 1 - z - 4. Let g be (-5 + 11\/2)*4. Determine x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 130 + -121. Calculate the remainder when 68 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 1\/4, 100\/29, -0.1, 4 in descending order.\nAnswer: 4, 100\/29, 2, 1\/4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 3*t + 10. Let v be q(7). Let f = v - -30. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-18)\/(-8)*4) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 63*v - 4. Let o be d(8). Let m(s) = 12*s**2 - 498*s + 7 + o*s + 3 - 4*s**2. List the prime factors of m(4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 711995.4g to tonnes.\nAnswer: 0.7119954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4326*c - 116855. Calculate f(27).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -932 - 15?\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1841148 a multiple of 961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2009820 and 4019640?\nAnswer: 4019640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/44 and 357\/(-24) - 16\/(-5 - -1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -62720 greater than or equal to -62717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1122 + -400?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.2 - 3. Let l = -1569\/2 + 785. Which is the nearest to 1.2?  (a) -1  (b) l  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1672701 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 80128 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000213151086 to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j**4 + 120*j**3 - 259*j**2 + 158*j + 8. Let l(c) = -c**4 + 41*c**3 - 86*c**2 + 52*c + 3. Let d(p) = -8*l(p) + 3*v(p). Factor d(a).\nAnswer: -a*(a - 29)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -x**8\/1008 - 13*x**5\/60 + 9*x**2. Let y(v) be the third derivative of i(v). Let m(l) = l. Determine m(y(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6894\/4 - 9\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 3:43 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*d**2\/4 - 57225*d - 12717 = 0. Calculate d.\nAnswer: -2\/9, 8478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 3*v - 6. Let g be k(-5). Suppose -4*c = 3*u - 13, u + 9 + 8 = g*c. Suppose 6 = 5*b - c. Solve -y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3096 + 3178. Let r = 0.038093 + 81.962867. Let i = f - r. Round i to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 2\/5)\/((-84)\/23100). Suppose -3*h - 5*r + 830 = 0, 3*h + 3*r - 694 = 134. What is the highest common divisor of v and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(2\/27)*50\/(3000\/20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11049833 to the power of 1\/2, to the nearest integer?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15258?\nAnswer: 2, 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 - 5*n**2 + 4*n**2)*(37 - 15*n**2 - 37) + 5*n**4 - 10*n**2 + 10*n**2.\nAnswer: 35*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from {w: 4, p: 5, d: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/33 in 10\/3, -2\/27, 7.2, -8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -4. Let z be ((-5)\/2)\/(c\/4). Suppose z*d - 19 = 2*m, d = 5*m - 2*d + 19. Put -3, -1, m in increasing order.\nAnswer: -3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19844904*d**4 - 16645740.\nAnswer: 79379616*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0*f*((f*f**(-1))\/f)\/f*f*f)**(2\/65)\/(((f*f\/f**(-1\/4))\/f)**(2\/163)*(f*f*f\/f**1)**(-23\/3)) assuming f is positive.\nAnswer: f**(975721\/63570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 198  (b) 2  (c) -3\/7  (d) -39  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/51 and -23\/93.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2465992 or -2466219?\nAnswer: -2465992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -5*u + 2*u**2 + 2*u**2 + 6 - 2*u**2 - u**2. Let y = 1178 + -1173. Calculate z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -278977.567 and -13894.\nAnswer: -292871.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 735366245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {o: 1, e: 1, r: 2, g: 2, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -66*y - 1380. Let d be n(-22). Suppose -7 = -2*k + 53. Calculate the greatest common factor of d and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-5)\/(-3))\/((-60800)\/768))\/(1\/(-5)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3))**(-46)*(l**(1\/4)*l)**(-45) assuming l is positive.\nAnswer: l**(327\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 570\/(-14)*(-8757)\/(-3753)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8111*x + 11 + 30 - 4053*x - 4059*x.\nAnswer: -x + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 2493 = -2514. What is the remainder when 190 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 313112360 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 4:01 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18736?\nAnswer: 2, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p + 3. Let t(x) = -2*x + 3. What is 5*g(f) - 4*t(f)?\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6 - 13\/(-78)*-26. Put m, 0, 125 in decreasing order.\nAnswer: 125, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 4*u - 3*b + 1128, -2*u + 3*b = -772. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*p + 53*p - k = -13, -63*p - 320 = -4*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -313584, -313716, -313846, -313974?\n\"Answer: t**2 - 135*t - 313450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2309993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 10:26 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/7 + (-138)\/42. Sort -5, k, -1.\nAnswer: -5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2640, -46, -7 in decreasing order.\nAnswer: 2640, -7, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/9 - 58*g**2\/3 + 518*g - 35594\/9.\nAnswer: 2*(g - 37)**2*(g - 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -361014848 to the nearest one hundred thousand.\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 a factor of 126404759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, t: 4, g: 6, f: 2}. Give prob of picking 1 v, 1 t, 1 g, and 1 f.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 64*t**4 - 35*t**3 - 500*t**4 + 0*t**2 + 34*t**3 + 3*t**2 as y*t**4 + m + q*t**2 + j*t**3 + s*t and give y.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 361 take away -0.5?\nAnswer: 361.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(-3\/8)*y))\/(y\/(y*y*y*y**3))*y\/(y*y**5*y)*y**(-3\/7))**(2\/27) assuming y is positive.\nAnswer: y**(-59\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 1. Let c(s) = 33*s + 66. Let i be (96\/(-112) - (-19)\/14)*2. What is i*c(p) - 66*k(p)?\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, u: 4, f: 3}. What is prob of sequence uueu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.059 - 0.041. Which is the closest to -0.1?  (a) 3\/2  (b) -5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 15\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 52, 97, 180, 313?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 + -50. Let v(z) = 21*z**u - 22*z**2 - 14*z**2 - 31*z**2. Let a(y) = y**2. What is v(a(n))?\nAnswer: -46*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 72164737 to the nearest 1000.\nAnswer: 72165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (16\/20)\/((-10)\/(-3225)). Suppose u - x = -2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -70 (base 10) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 12*x**2 - 3*x - 18. Let o be m(-12). Suppose 0 = 13*i - o*i + 29265. Let v = i + -175523\/30. What is the common denominator of -119\/30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/((-315)\/6))\/(4\/(-40))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -5, 0.03, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 18\/204443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = 12*y - 108. Let w(k) = k**2 - 13*k - 33. Calculate the remainder when w(y) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 4772332650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 231.0135 nanometers to centimeters.\nAnswer: 0.00002310135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**15\/s*s**9)\/(((s*s*s\/(s\/s**5))\/s)\/s)**(-9))**(3\/20) assuming s is positive.\nAnswer: s**(207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -3*a**2\/4 - 495*a\/4 - 123 = 0.\nAnswer: -164, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 17 + (18 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.69708 - 1.7. What is r rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8966, 8809, 8520, 8075, 7450, 6621, 5564?\n\"Answer: -4*k**3 - 42*k**2 - 3*k + 9015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 1 - 5. Differentiate 0*t**u - 4*t**4 + 6 - 6*t**4 + 2 wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -1\/105*o**6 + 0*o**2 + 0 - 5\/21*o**4 + 11\/70*o**5 + 0*o**3 - 93*o. Let y(i) = 0. Calculate i.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 20*t**2 + 15*t + 93. What is the least common multiple of z(19) and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**6*h)\/h*h*h*(h**(2\/11)*h)\/h*h*(h\/(h\/((h\/(h\/(h\/(h**(1\/3)\/h))))\/h)))\/(h**(-4\/7)\/h))\/(h**(1\/3)\/h**(-1\/12))**(-21) assuming h is positive.\nAnswer: h**(18637\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 5*t**2 - 15*t - 3. Let h be f(-7). Which is the third smallest value?  (a) -1.7  (b) h  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4206 + 16731\/4. Find the common denominator of 111\/280 and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of g**2 - 63 + 0*g - 8\/3*g**3 + 13\/4*g**4. Find the third derivative of a(k) wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1276 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 3*i**2 - 5*i - 4. Let z be j(-4). Suppose 1187 = -z*n + n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-3) - (-11)\/3. Suppose -u*c = 2*c. Suppose c*x - 15 = -3*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1373 is divided by 400.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i**2 - 163. Let w(m) = 6*m**2 - 161. Calculate -4*j(g) + 3*w(g).\nAnswer: 2*g**2 + 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(-6*a**5 + 32*a**5 - 8*a**5).\nAnswer: -18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*l + 1275 = 680*l - 49809. Which is the nearest to 0?  (a) l  (b) 5  (c) 1  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**4 + 41*y**3 - 46*y**2 + 9*y = 0.\nAnswer: 0, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -5*q - 167. Let h be t(-33). Put -1, -8, 1, h in ascending order.\nAnswer: -8, h, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603965652?\nAnswer: 2, 3, 37, 1360283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 60 = -10*j. Suppose -5*g = -3*z - 12, -2*g + 5*z + j = -10. Suppose -2*m + 31 + 21 = g. 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 prob of sequence sssf when four letters picked without replacement from {f: 1, s: 8, o: 6}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 24470000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -435.48 to the nearest integer.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53631, -53858, -54073, -54270, -54443, -54586, -54693, -54758?\nAnswer: -54775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-757.29243.\nAnswer: 1514.58486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12437094.\nAnswer: 2, 3, 601, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7611 and 21594?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1741, 3514, 5287, 7060, 8833?\n\"Answer: 1773*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7450701 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - k - 112, i + 3*k - 40 = -6. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 0.4  (c) 531584  (d) -9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 86?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 6*t**2 - t - 9. Let u be y(-6). Let s be 5\/(-30)*u - (-122001)\/(-2). What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15272*c**3 - 22*c**2 - 136*c?\nAnswer: 91632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06900779823 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2887.6 + 2888. What is the second smallest value in c, -1\/3, 1.38, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 113*d**3 - 179*d**3 + 343 + 2*d**2 - d + 68*d**3 to g*d + b*d**3 + r*d**2 + o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1378 + 0?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p = 4*g - 50 + 38, -15*p - 40 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-1*6)\/((sqrt(11) + sqrt(22)\/sqrt(2))*5).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k - 6*i - 128, -153 = 4*k - 3*i - 214 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26 - -1) + (-2 + -33 - -16 - -7).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5860, -5861, -5862, -5863?\nAnswer: -5864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61249528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -4*t + 17, -t + 2*t + 3*p + 12 = 0. Suppose 3*s = s - 2*c + 14, -3*c + 3 = 0. Solve 3*i + s = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, 2, 26, 4\/3, 10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*sqrt(121) + -5*sqrt(121)*-1 + sqrt(121))\/(sqrt(99)*-1 - sqrt(121)\/(3*sqrt(11))).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**1\/(p\/(((p\/(p**(3\/2)\/p))\/p)\/p)))**(-22))**(-1\/13))**(-1) assuming p is positive.\nAnswer: p**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s - b - 17, s + 3*b = 1. Let m = -9 + 13. Find the third derivative of 0 + 0 + z**4 - 3*z**2 - m*z**s wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of 6346*p**5\/5 - 3426*p + 2793. Differentiate k(i) wrt i.\nAnswer: 25384*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 8:35 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/2*(2 - 1 - 3). Suppose -536 - 347 = -n*m + 4*u, -1152 = -4*m - u. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence een when three letters picked without replacement from {n: 3, x: 2, e: 12, f: 3}.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*a + 160000, 0*a + 640000 = 4*l + 4*a. Suppose 5*d = -2*b - l, -4*d + 75281 - 475281 = 5*b. What is b rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 8 + 1)*(-2 - 3 + 2)*(-1 - 2 + 2)*(-31*w - 18*w + 21*w)*(1 - 1 + 2).\nAnswer: 1344*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 136 or -0.020976?\nAnswer: -0.020976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3090*m - 2*m**2 + 6985*m + 11*m**2 - 7*m**2.\nAnswer: 2*m**2 + 10075*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 9:34 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2899*s**2 - 2900*s**2 - 7 - 6*s + 1. Calculate v(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1045, 2072, 3081, 4066, 5021, 5940, 6817?\nAnswer: 7646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 35, 94, 179, 296, 451, 650, 899, 1204?\n\"Answer: t**3 + 7*t**2 + 31*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -38720586*0.4\nAnswer: -15488234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*f**2 + 125*f**2 - 70*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j - 4*g - 16, 4*j + 3*g + 19 = 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18779 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -13*z + 94. Let x be v(7). Let a(u) be the first derivative of 4 + 0*u + 5\/3*u**x + 9\/2*u**2. What is the second derivative of a(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587610854 to the power of 1\/2, to the nearest integer?\nAnswer: 24241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 8*w**3 + 7*w - 5. What is r(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 48, 5 in increasing order.\nAnswer: 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563984403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 11*h**2 - 639*h + 2396. Give f(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -35*w + 2. Let a be m(-2). What is the highest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c - 2*c - 5*c + 5*c + 4*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11949935 rounded to 3 decimal places?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -821 or -819?\nAnswer: -821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -280.6 - -1437.6. Let o = -1156.99999369 + m. What is o rounded to 7 decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 5*h - 6 = 0, -324*p + 327*p - 4*h - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**4 + 82*b**3 - 76*b**2 - 160*b = 0. Calculate b.\nAnswer: -1, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -9 + 53 - 12 - 18*s. List the prime factors of w(-5).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-225)\/(-6)*56\/140?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -0.085793.\nAnswer: 1.458481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45587 is divided by 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(2\/190)\/((-60)\/(-100)). Which is smaller: 1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 207, 224, 241, 258, 275, 292?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*h + 20, -7 = -2*m + 2*h + 9. Suppose -104 + 24 = -m*j - 4*g, -2*g = -j + 5. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z - z + 517 = 0. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.38 + 0.58. Let g(f) = -f. Let y(s) = 4*s - 5. Let z(j) = 3*g(j) + y(j). Let i be z(7). Which is the closest to 0?  (a) 2\/11  (b) n  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 2. Suppose o*f + 0 - 6 = 0. Suppose -f*x + 30 = -20. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -900\/17, -6, 2\/13, 2\/7, 4, 5?\nAnswer: -900\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 w when four letters picked without replacement from {w: 7, t: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 <= 9232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*p**3 - 185686*p - 823685 wrt p.\nAnswer: -9*p**2 - 185686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -43182 less than or equal to -43182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - 5\/(9 + -4). Let d be (3\/9)\/(s\/6). Are d and -3\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 146*p**3 - 6*p**2 + p. Let n be k(1). Solve -6*s - n = -135 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3665572 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {v: 1, f: 8, j: 4, l: 5}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341d23 (base 14) to base 12.\nAnswer: 71588b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 51 = h, 2*h + 19 - 136 = 5*v. What is the lowest common multiple of 69 and h?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25\/4 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**4 + g**3 - g**2 + 9. Let f be -2 + 4 + 4 + -5. Let i(h) = -h**3 + h**2 - 1. Let q(t) = f*i(t) + v(t). What is the derivative of q(r) wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -38*b**4 - 9*b**2 - 6*b + 49. Let v(g) = 39*g**4 + 8*g**2 + 5*g - 53. Let z(q) = -5*j(q) - 6*v(q). Find the third derivative of z(h) wrt h.\nAnswer: -1056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53.5 + 8.5. Let h = i + 44.61. Let j = -0.38934 - h. Round j to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 53*a**3 - 135.\nAnswer: 159*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*x**3 - 29*x**2 + 5499.\nAnswer: -6*x**2 - 58*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54503139319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96803 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 - 39. Let d = 18 - g. Let b = d + 6. Which is smaller: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -231, -358?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -751410*p - 21. Let q(r) = -r. Calculate q(c(z)).\nAnswer: 751410*z + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 7*h**2 - 8*h + 8. Let u(g) = -6*g**2 + 8*g - 8. Let z(s) = 5*c(s) + 6*u(s). Let j be z(6). Let m(k) = 3 + 2 + j*k + 2*k - 3*k. What is m(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 + 134 + 132 - 8*u**2 - 316.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 4, 5, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-16)\/3)\/((-1)\/9). Suppose -3*m + t = -m. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 11 = -n, -f + 7 = -n + 3*f. Let o be n + 51\/3 + -3. Calculate the highest common factor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = 9*l - 14*l. Suppose 5*t - l = 2*m + 10*t, -2*m + 4*t + 26 = 0. Solve -11 = -m*h + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -7*c**3 + 349*c**2 + 66*c - 801. Calculate u(50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -37*b**6\/30 + b**4\/8 + 170*b**3\/3 + 2956*b**2. What is the derivative of h(s) wrt s?\nAnswer: -444*s**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 + 8*j**2 - 3*j - 24. Let s = 65 - 58. Let z be m(s). Solve 4*q + 1 = v, -2*v - 10 = z*q - 0*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 2*o**2 - 3*o + (-o + 4*o - 4*o)*(-5*o + 5*o + o))*(-3 + 3 + 7).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4901, -4900, -4899?\nAnswer: -4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 4, 2\/13, 9, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 6*b**2 - 3*b - 5. List the prime factors of d(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -535 or -533?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 - (-17 - -14) - 0) + 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 18*o + 2*o**2 + 27*o - 48*o)*(5*o - o - 2*o)*(9 - 5 - 8 + (-6 + 3 + 4)*(1 + 3 - 2)) in the form p*o + c*o**3 + u + w*o**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -354 + 15*j + 354 - 10*j. Let b(h) = 245*h**2. Give b(v(w)).\nAnswer: 6125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 61\/(-427)*7*(2 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 9:42 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -693 - -691. Which is the closest to i?  (a) -0.5  (b) 4\/9  (c) 2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 102.034702 to two dps.\nAnswer: 102.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/8 of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.215 + 5.215. What is the closest to y in 3\/11, -5, 31, 4\/9?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-1) - -5*1. Let l = -348.8 + -46.2. Let r = l + 398. What is the smallest value in 0, v, r, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q - 6. What is the remainder when a(-5) is divided by 3 + (-3)\/(-6) - (-9)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6620*f**2 - 60166*f.\nAnswer: 13240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -677 and -1?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 5*b**2 + 4*b - 2. Suppose 11 = 3*i + 4*z, 0*i - 3*z = -2*i + 13. Is 9 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 0) + 7 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = k + 11*c + 18 - 10, -2*k + 5*c - 16 = -5*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -258 bigger than -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, -0.01, 0.7, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 256 and 339432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + o + 6 = 0, -41*u + 37*u + 4*o = 24. Let y(s) = 6*s + 37. Give y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 33*h - 40. Give y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r + 8. Let u(l) = 12*l - 88. Let k(t) = 22*j(t) + 2*u(t). Let o(y) be the second derivative of -21*y**3\/2 + 3*y. Determine o(k(f)).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -5, -1, 0 in ascending order.\nAnswer: -5, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from {f: 3, n: 2, p: 3, j: 1, b: 1, x: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2*y - 83 - 33, 0 = -y - 3*o + 70. Suppose 5*p + a = -3*a + y, 20 = 4*p - 4*a. Let b = -5 + p. Solve -20 = -b*n - 0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = a, 0*a - a + 4 = 4*k. Suppose -k*p - 6 = p. What is the remainder when 21 is divided by (-2)\/(p\/9) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(22)\/sqrt(2) + (-1*sqrt(539) - sqrt(11))**2.\nAnswer: sqrt(11) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -1\/3  (c) 0.5  (d) -0.3  (e) -5  (f) -5907.3  (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.4800071 - 1.48. What is t rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t + 24. Let l(s) = -s. Let m(c) = j(c) + l(c). Let u be m(-18). Let v(b) = 4*b - 1 - b**2 - 1 + 0*b**2. Give v(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**6\/120 + h**4\/24 + 5*h**3\/3 - 2005*h**2. Suppose 2 = 5*s + 2*b, -s + 5*s - 2 = -2*b. Give x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -122.2.\nAnswer: -48.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 28  (b) 122  (c) 0.4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 7*d - 425240, -131376 + 313629 = 3*d - 2*s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 5*r + 13, -3*v - 20*r = -17*r + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/12)\/((-3)\/(-9)). Suppose -4*s + t*f + 79 = 3*f, -4*f = 4. Suppose 3*k = 4*c + s, 11 = k + 5*c + 36. Solve k = -3*w + 4*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 118.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225115788.\nAnswer: 2, 3, 18759649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4 - 1 = 0, 2*k + 510 = -4*t. Let o = 184 + t. What is the hundreds digit of (222\/(-4))\/((-21)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60099\/15428 - 10\/3857. Find the common denominator of (-134)\/(-8)*(-12)\/(-6) and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = o - 34*h + 38*h, 19 = 5*o - h. Let i be (o\/6 - -1)\/(125\/150). Factor 2*d**i + 2\/3*d**3 + 0 + 4\/3*d.\nAnswer: 2*d*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-8)\/(-4))*(72\/148)\/9\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -9*j**2 + 3*j - 27. Let f(t) = 10*t**2 - 5*t + 32. Let v(z) = 4*f(z) + 5*m(z). Calculate v(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 58244\/5 + -2. Let k = -11609 + l. Let g = -36 + k. Calculate the common denominator of g and -85\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7282*s + 4*p + 132 = -7280*s, -5*s - 22 = -p + 2*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2877 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - w - 115 = -117 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/5 + 9\/10. Let x = 884.3 + -884. Which is the nearest to 2\/11?  (a) x  (b) 1\/6  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -12. Suppose u = 3*u - 12. Suppose -12 = -2*i - u. What is the nearest to 0.2 in t, -3\/2, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2*o + 221600446*a**2 + 800*a*o + 107915*o with respect to o.\nAnswer: -2*a**2 + 800*a + 107915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5355952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 1 - 5, 3*x - 20 = 4*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -20.3*-0.1\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and -33737?\nAnswer: 33733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 1. Let g(p) = 8*p**2 + 3*p + 8. Let r(m) = -m - 970*m**2 + 2*m + 971*m**2 + 0*m. Let n(s) = g(s) - r(s). Determine 6*d(i) - n(i).\nAnswer: -i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1.364, -1\/5, -2 in decreasing order.\nAnswer: 1.364, -1\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12507 - 12505. Solve -2*g + q + 13 = 0, -5*g + 1 = -n*q - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -398*y + 413*y - 36960 = 0. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21254 at least -21147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 5 = 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l**(-7)\/l)*l)\/((l*l**1)\/l)*l**(-2\/23)*l*l**(-1\/11))**(-16\/3))**(-6) assuming l is positive.\nAnswer: l**(79520\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, 29, 228, 509, 878, 1341, 1904, 2573?\nAnswer: 3354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33150931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.16  (b) -5  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**3\/9 + t**2\/6 - 12. Suppose n(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -710*y + 715*y + 74 - 31. Calculate a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -16899?\nAnswer: -16901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 7:02 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*q**4 - 23*q**4 + 23*q**4 + 11 - 11 - 2*q**4 + (9*q**2 + q**2 - 19*q**2)*(-2*q - 2*q**2 + 2*q) as l*q + o + s*q**3 + g*q**4 + d*q**2 and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3 = 2*d, 4*q + 5 - 14 = 5*d. Let k = -1 + 7. What is the remainder when -3*(-92)\/k - d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211 + 224 = 87*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6300)\/(-720))\/((-7)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - -51820?\nAnswer: 51817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24218 - 24219. Let c(d) = d. Let b be c(1). Let g(i) = i**3 + i**2 - i - 1. Let s(u) = u**2 - u - 1. Determine b*s(q) + j*g(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2106378 divided by 342?\nAnswer: 6159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 97*l - 44. Let a(y) = y + 15. Let t be a(0). Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -11  (c) -4.146  (d) 5  (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32831111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 - 0 - (1052 + -994)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -354190+-12.76574\nAnswer: -354202.76574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 != 135837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -101010221101210 (base 3) in base 10?\nAnswer: -5391975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52)\/8*(-8928)\/4836.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 plus -63048.167?\nAnswer: -63048.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 114167, 228359, 342551, 456743?\n\"Answer: 114192*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 + 3*q + 1. Let o be l(4). Let r be (o\/(-5))\/((-2)\/(-10)). Let u = -1267 - -1270. What is the greatest common divisor of r and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(160) + sqrt(160) + sqrt(160)*-2))\/sqrt(8) + (3 + sqrt(980) + -2 - sqrt(980))**2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2345*h = 2138*h. Let -8\/9*l**4 + 2\/3*l**2 + h + 22\/9*l**3 + 0*l = 0. What is l?\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(50) + 0 + -2).\nAnswer: -20*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a\/a**(1\/44)*a)\/a)*a)\/(a*a**(9\/4)\/a) assuming a is positive.\nAnswer: a**(-27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -164860 (base 14) to base 16\nAnswer: -bea94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**3\/7 + 10*t**2\/7 - 12*t\/7 - 72\/7 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 37*r + 92. What is u(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 2)\/((-6)\/(-30)*(-75)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/5)*d\/((d\/(d**(-5)*d))\/d)*(d\/(d\/(d\/((d*d**(-2\/3))\/d)*d)))**(-8\/7)*(d*d**5*d*d**(-3))**(-14) assuming d is positive.\nAnswer: d**(-6452\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 - (16 - 11) - -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 6*t**2 - 31*t - 29. Let j be f(-9). Find the common denominator of j\/(-14) + (-129)\/(-52) and 4\/10 - (-327)\/20.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w**3 + w**2. Let a = 5 + -4. Let b be a\/((4\/(-4))\/1). Calculate y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of 1 - 9\/2*w**3 + 0*w**4 + 0*w**2 + 0*w**5 + 0*w**6 + 7*w + 31\/21*w**7. Find the second derivative of p(j) wrt j.\nAnswer: 1240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-322)\/21)\/(((-858)\/117)\/(-11))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -55*t + 498. Let s be r(9). Suppose 5*a - 37 = s*l, 42 = -18*a + 23*a + 2*l. Calculate the highest common factor of 132 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0.6, -5, -8, 34, 282 in descending order.\nAnswer: 282, 34, 0.6, 0.2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 176 and 1870.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-3*sqrt(114))\/sqrt(6) + 2)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*20*16\/(-20). Let b(v) = -14*v + 6. Let u(f) = -74 + 153 - 40*f - 78 + 69*f - 32*f. What is y*u(r) + 3*b(r)?\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twelve sevenths of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 322*d + 9. Let o(a) = 143*a + 4. Let z(g) = 4*n(g) - 9*o(g). Let h(s) = -2*s + 6*s - 2*s + 64. Determine h(z(q)).\nAnswer: 2*q + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 10001000110100000 (base 2) to base 9\nAnswer: 116071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 96*j + 108. Determine n(2).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-444)\/(-48) - 9) + (-83)\/(-4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 530767271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -l - 4*s, 42 = 3*l - 4*l + s. Let h be 6 + (-1 - (8\/4 - -4)). What is the tens digit of (-2 - h)\/(2\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*v**3 - 116*v**3 + 324*v**3 - 111*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -741*y**2*z**2 + 118*y**2 - 23*y*z**2 + 18*y + 23*z + 26 wrt z?\nAnswer: -1482*y**2*z - 46*y*z + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -107, -80, -29, 52, 169, 328, 535?\n\"Answer: t**3 + 6*t**2 + 2*t - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, m: 5}. Give prob of picking 2 u and 1 m.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163479 is divided by 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*i = -55*i + 10*f + 135, 12 = -4*f for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -2 + sqrt(1100))*-3 - -5*(-4 + 0 + sqrt(1100)))**2.\nAnswer: -440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -20*b**2 - 21*b**2 - 10*b + 1 - 3 + 45*b**2. Let l be v(-1). Solve 36*k - l = 39*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43 + -1 - (-2 - (-82 + 37 - -32)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - 1 + 1)*(3 + 3 - 4)*(7 - 2 - 1) + (0 + 1 + 1)*(h - 3*h - h) + (4 + 6 - 3)*(h - 2*h + 3*h).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*x - 169*x + 90*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - z + 4 - 3, 5*u = 4*z + 5. Let x(s) = -4*s - 1 + u. Let p(l) be the first derivative of l**3\/3 - 3. Calculate p(x(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-130)\/4 + (-2)\/4. Let k = 151 + y. Let g = -81 + k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 5*y + 3. Let m(x) = x**2 + 2*x + 1. Let l(r) = -a(r) + 2*m(r). Suppose 0 = d, 3*o + 3*d + 1 - 37 = 0. Let k = o + -13. What is l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 0*z**2 - 2*z**2 - 2*z**2. Let l(m) be the first derivative of 13*m**2\/2 - m + 176053. Determine l(n(r)).\nAnswer: -52*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4185 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6 + 6 + -3 - (-16)\/5. Let x(s) = -s**3 - 6*s**2 - 5*s + 6. Let u be x(-5). Let g be ((-3)\/(-9))\/(2\/u). Is g at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -1126*u. Let k(q) be the first derivative of -q**2 + 755. Give k(a(m)).\nAnswer: 2252*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -357*o**3 + o**2 + o + 3. Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -161, 39, 94, 3, -4 in descending order.\nAnswer: 94, 39, 3, -4, -161","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/((-32)\/(-18)))\/(37\/(7992\/594))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2801 or -36404\/13?\nAnswer: -36404\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 2414179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 52*b - 55*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (c**4 + 0*c**4 - 3*c**4)*(-5 - 1 + 2)*(-11 - 14 - 11) in the form t*c**2 + y + b*c**4 + v*c**3 + o*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 803792 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsfkskhsqqk. Give prob of picking 1 f and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*i**2 + 51*i**2 + 1 - 5*i**2 as d + w*i + j*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 727305 is divided by 663.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (13 - (-17 - -87)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.184 rounded to 1 decimal place?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(3\/(6 - -6)). Let i(m) = 11*m + 64. Is 38 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 7:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from sfsdffdddee?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 5.2. Let w(j) = j - 7. Let r be w(11). Let x be 3\/(-6*r*(-2)\/(-32)). What is the second biggest value in -2\/13, m, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -0.18941938.\nAnswer: -0.75767752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 498*h = -13693 + 98353. Calculate the remainder when h is divided by 99.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-42)\/7)\/((-48)\/(-64)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, v: 1, z: 1, k: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 20*p - 31. Determine q(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1156638 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 637.5402 centuries?\nAnswer: 63754.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -5*u - 9. Let p be 88\/56 - u\/7. Suppose -5*o - z - 7188 = 5763, -10358 = 4*o - p*z. What is o rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 24\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 0*i = -42. Let n be (0 + -1)\/1 - -11. Let z = i + n. Solve l + 7 = q, -3*q = -z*l + 1 - 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17.6 + 18. What is the second smallest value in a, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (130 - 125) + 115\/(-24) + -1 and 55\/4137.\nAnswer: 33096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16*13\/208)\/(-12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**7\/21 + 4*u**6\/15 + u**5\/5 - 2*u**4\/3 - u**3 + 211*u. Factor n(v).\nAnswer: 2*v*(v - 1)*(v + 1)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/150*-3*((-2)\/(-412))\/((-21)\/(-28))?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 461230 and 220.\nAnswer: 922460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11334411 (base 6) to base 7.\nAnswer: 3005320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2268, 2273, 2280, 2289, 2300?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37558?\nAnswer: 2, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 6:21 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -10*c**3 - c**2 - c - 1. Let k be m(-1). Let n = -10 + k. What is the tens digit of -2 + n + 16 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 230\/18 + 4\/18. Suppose -3*q - k = 3*y + 2*q, -2*q = 2*y + 2. Let n = y + 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4868 divide 1532884520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 19\/4 of a hour?\nAnswer: 17100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 275278082 to the power of 1\/2, to the nearest integer?\nAnswer: 16592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 12 = -4*c + q, 3*c + 4*q = -1. Suppose 248 = 2*r - c*d, -3*d + 558 = 4*r + r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 22 = 3*n, 0*n - 5*n - v + 6 = 0. Let f be n\/9 + (-6)\/27. Let k be (3 - f)\/((-6)\/(-4)). Solve 0 = -k*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4198*o**2 - 4185*o**2 + 23*o - o**3 + 8354*o**2 in the form j*o**3 + f*o**2 + z*o + n and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1962 and 6540?\nAnswer: 19620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -1. Let p = 932 - 905. What is the remainder when p is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*m + 4*i - 4, -4*m + 2*i - 2 = 0. Suppose 4*g - m*w + 28 = -140, -180 = 4*g - 5*w. Let c = 63 + g. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -152*h + 912. Let n be r(6). Solve n = -21*t + 94 - 115 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1854*b - 635*b - 1 + 1 - 626*b - 622*b.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -678 + 1249. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**2 - 3*g**4 - 3 - 3*g**2 + 68*g - 42*g - 27*g as q*g**2 + s*g**4 + z*g + l + f*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1262489, -2524980, -3787473, -5049968, -6312465?\n\"Answer: -h**2 - 1262488*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 4*w - w)*(-27 - 6 + 16)*(w**2 - 2*w**2 - w**2).\nAnswer: 136*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from iiiiiifiif?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 13838.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 709972122 to the nearest integer?\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2530122990 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.06 - 2.86. What is the nearest to -0.1 in 4, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 - (0 - (-22 - -6)) - (124 - -3).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/9  (b) 2\/5181  (c) -1  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -93316373 - -0.5.\nAnswer: -93316372.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, -403, -1544, -3733, -7312, -12623, -20008, -29809?\nAnswer: -42368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4. Suppose 6 = -3*y - 5*p, 5*y + 8 = y - 3*p. Let d(r) = -r + 5. Let g(h) = y*d(h) + 3*c(h). Let i be g(2). Solve -1 = -5*x - i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206442 is divided by 18737?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8 + -3)\/(1 - 0). Let x(n) = n**3 + 12*n**2 + 10*n - 8. Let l be x(w). Suppose 0 = -5*t - u + 7, 6*u - 10 = -4*t + l*u. Solve -b = t + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5681674*s**2 + 9847780*s**2 + 846792*s**2.\nAnswer: 16376246*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (121 - 118) + (1 - -1) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11874 - 11873 + 23747 - 65*y**3 + 49*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52577688*a - 52577438*a + 28000 = 0 for a.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -46 - -45.79. Let j = -0.19 + c. Sort 2\/3, j, -4.\nAnswer: -4, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 26.36 * -166.\nAnswer: -4375.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -8 - 2*w + 35 - 10 + 10. What is i(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-12)*6)\/((-1)\/(-9))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 154847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-26 - -24)*73\/36 and -85\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -482, 3, 172, -23, -4, -1 in increasing order.\nAnswer: -482, -23, -4, -1, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 25. Let s(c) = c**2 + d*c + c - c**3 - 2*c - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**3\/7 + 11384*u**2\/7 + 2*u\/7 - 11384\/7 = 0?\nAnswer: -1, 1, 5692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.055 + 0.041. Let j = -5.014 - g. Put 5, -1\/2, -4, j in increasing order.\nAnswer: j, -4, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17427 is divided by 250?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1099 * 2298\nAnswer: 2525502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, k: 3, h: 7, l: 2}. What is prob of picking 2 h and 2 k?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -225.805851 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9970393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 39, 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -20. Let h = z - -5. Let t(w) = -w**3 + w - 1. Let v(g) = g**3 + 3*g - 2. Give h*v(s) - t(s).\nAnswer: 2*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3737383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 + 0 + (4 - 1 - 1)*(-2 + 2 + 1) - 32 - 10 + 9)*(2*m + 2*m - 3*m) in the form a*m + p and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2419 = 16*q - 2995. Calculate the highest common factor of 48 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f**2*h**3 - 6*f**2*v**2 + 4*f**2 + f*h**3*v**2 - 7*f*h**2*v - 17*f*v**2 wrt f?\nAnswer: -2*h**3 - 12*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -4835077?\nAnswer: 1\/4835077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/((i\/((i\/i**2*i)\/i))\/i)))**(-2\/31)*i**(-2\/19)*i\/(i*i**(-14)))**(6\/5) assuming i is positive.\nAnswer: i**(48876\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 18. Let w(d) = 4*d**2 - 32*d + 29. Let g = -6 + -3. Let i(k) = k**2 - 8*k + 7. Let n(h) = g*i(h) + 2*w(h). Calculate n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-272)\/2380)\/(8\/20)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 768.986 - 777. Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54315 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*y**2 - 1 + 1 + 26*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2551219259 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24596)\/2394 - 6\/27. Let j = k + 42\/19. Let p = 1741 + -12221\/7. Find the common denominator of p and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - -7) + (-19 - (-26 - 7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of -9*j**2 + 17. Let x(v) = -4*v**2 + 0*v + 0*v. Give n(x(l)).\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -80, -99, -118?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60316414 to the nearest integer?\nAnswer: 7766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 - -66. Suppose -v = -21*g + 19*g. Let i(d) = -d**2 + 2. Let x(j) = j**2 + j - 1. Let l(k) = 4*i(k) + 3*x(k). What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -174b?\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5*m = 0, -19*m - 10 = -5*w - 22*m. Let y be 2*((w - -1) + 0\/(-2)). Solve 6 = -4*r + 2*n - y, -24 = 5*r - 3*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - d + d)*(-d**3 + d**3 - 2*d**3) + d**4 + 4*d**2 - 4*d**2 + (-2*d**2 + 6*d**2 - 3*d**2)*(-1 - d**2 + 1) + 6*d**3 - 6*d**3 - 2*d**4 - 3 + 3 - 5*d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqquuqquqqqqqq. What is prob of picking 3 q?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/((w\/w**(1\/7))\/w*w)))**(2\/61))**(-30) assuming w is positive.\nAnswer: w**(-360\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -125*r**3 - 8*r**2 + 2*r + 31. Let d be u(-8). Suppose 17*z = 6*z + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396) + (sqrt(396)*2 - sqrt(396))*-4.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -z + 4. Suppose -h + 9 = -3*u - 4, 0 = h - 4*u - 16. Suppose -14 = -t + h*n, -6 = -2*t + t + 2*n. Put 1, z, t in ascending order.\nAnswer: t, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1557420 divided by 606.\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -225, -81, 2.\nAnswer: -225, -81, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 177459, 180162, 182865, 185568, 188271, 190974?\n\"Answer: 2703*l + 174756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4 + (1 - -5))*2. Suppose 2*n = 28 + 12. Is c at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4078979 greater than 4078985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18867112*i**3 + 4775507 wrt i.\nAnswer: -56601336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 5549841192*r + 3 - 5549841153*r.\nAnswer: 39*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 - 51. Let f = v - -11. What is the remainder when 40 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 3*a**2 + 6*a - 15. Let q be r(-5). What is the smallest value in 2, q, 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1055 and 4629340?\nAnswer: 4629340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 7*w - 8*w - 481 = 0, -263 = -h + 5*w. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -177*l - 1115*l + 294*l + 35928 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1186666 is divided by 395466?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 10, x: 4}. What is prob of sequence qq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Solve 4*g + y = -17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**3 - 22*g**2 - 25*g + 13. Let n be j(12). What is the closest to 1 in 0.1, 4, 129, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from fbbbbbbbbbbbfbbbbbbf.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.02, -2\/3, -5\/2, 0.3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -89118, -356291, -801578, -1424979, -2226494, -3206123?\n\"Answer: -89057*d**2 - 2*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4959 and 684.\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 - 47 + 19)*(5*f + 46*f**2 + 8*f**2 + 34*f**2 - 21*f**2).\nAnswer: -3685*f**2 - 275*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -81 (base 13) to base 10.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z - 368 - 172 = 0. Let d = -217\/4 - z. Let i = 32 + -34. What is the nearest to i in d, -4\/7, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 0.5, 1\/8 in decreasing order.\nAnswer: 0.5, 1\/8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kd when two letters picked without replacement from utdkksyt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 19*g**3\/6 - 50*g**2 - 52*g. What is the tens digit of j(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -0.334.\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 12 = 4*k, 5*k + 8 = -2. Suppose -f*i + 6 = -18. Let u = -63 - -121. Calculate the remainder when u is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - 9*o**2 - 9*o - 15. Let v be m(-8). Let c(h) = 7*h**3 - h + 5. Let u(t) = 10*t**3 - t + 7. Determine v*c(w) + 5*u(w).\nAnswer: w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1514, -55, -5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*h - 78*h - 11143*h**2 + 11142*h**2 - 81*h.\nAnswer: -h**2 - 106*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 160 + -75. What is the greatest common divisor of 34 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4 + (sqrt(432) - sqrt(432)*-5))*1 + -4*((sqrt(432) - (sqrt(432) - (-5 + sqrt(432)))) + -5)*-2)**2.\nAnswer: -4032*sqrt(3) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) + sqrt(104) + -2*sqrt(104) + sqrt(104))\/(sqrt(18)\/sqrt(441)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) - (4*(1 + sqrt(320)))**2) + (1 + sqrt(320))*-2 - ((sqrt(320) - (sqrt(320) + 0)**2) + 5 - (sqrt(320) + 1)**2*2).\nAnswer: -4181 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, -31, -69?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*m - 0. Suppose q - 147 = -m*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**4 - v**2 + 26*v - 3. Let s(t) = 4*t**4 - 2*t**2 + 52*t - 7. Let u(j) = 14*q(j) - 6*s(j). Find the third derivative of u(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 2 + sqrt(196)\/sqrt(7) + -1 + 4*(sqrt(567) + 0))*-4.\nAnswer: -152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.149 + 0.196. Let z = n - 1.047. What is the fourth biggest value in 4, -0.3, -21, z?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -96 - -108. Let q = v + -7. Solve q = -4*n + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1934, -5, -4, 2 in increasing order.\nAnswer: -1934, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8439 and 6?\nAnswer: 16878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4387 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10701783 and 1143702.\nAnswer: 149824962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -671.8 rounded to the nearest ten?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -210125 or -210124?\nAnswer: -210124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 346, -5, 0, 7.\nAnswer: -5, 0, 7, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11 + -164?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u - 3 + 2*u + 4*u.\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*n + 2*n. List the prime factors of -3*n\/105 - 1326\/(-5).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.991 - -0.009. Let j = -942.05 - -942. Which is the nearest to 1?  (a) t  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 + 9 = 12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2086 + 3008. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.025837783+-0.4\nAnswer: -0.374162217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -2 - 1) + 9. Let w = 19 - n. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -140*k**2 - 1612*k**2 - 56*k**2 - 1373*k**2 - 99*k**2 to the form v*k + t + j*k**2 and give j.\nAnswer: -3280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 63, 45, -1, -1946?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/10)\/(((-28)\/(-35))\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*y - 19*y + 80. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h + 4*h - 2 - 2*h + 8. Let o be z(9). Is o smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 680 and 21807500.\nAnswer: 741455000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46 - (-4 + 4) - (184 + -180) - (2 - -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, o: 4, v: 3, g: 9}. Give prob of sequence vgvk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9038308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r = -19*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24702247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.06 + -0.26. Let n = 0.4 + u. Let o be 4\/14*14\/18. Which is the nearest to -0.1?  (a) 0  (b) n  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 3, a: 4, h: 1, n: 3, t: 2, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8283209 to the nearest integer?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**4\/10 - 4. Let u(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 greater than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 6:02 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-6)*(-243)\/(-18))\/3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*c*v**4 - 2*c*v**2 + c*v + 3*c - 5*v**5 + v wrt v.\nAnswer: -108*c*v**2 - 4*c - 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (20\/(-6))\/((-22)\/(-33)). Let i = 2629 + -20999\/8. What is the common denominator of i and z + 1 - (-396)\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**3 + 8*k - k**3 + 2*k**3 - 8*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -80.9 + 18.9. Which is the third smallest value?  (a) f  (b) 3\/8  (c) 5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 4*x - 1. Let k = 4 - 1. Let y = k + -1. Let s be a(y). Solve 0 = s*u - 23 + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9, -0.5, 22, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bhpvbbi. Give prob of picking 1 b, 1 v, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 284*w - 282*w - 1 = 0, -38 = 5*h - w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 41 = 5*p, 11*q - 13*q = -3*p + 9. Solve -1 = c - z, -3*c + 5*z = -2 + p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h - 2. Let c be n(-3). Suppose -c = -5*g + 4, 0 = 4*l + g - 13. Suppose -v = -4*v - l*k + 87, -3*k + 60 = 2*v. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 + -9. Let i be g\/5 - (-4)\/10. Let a(z) = -14*z + 212. Let s be a(15). Solve s*o + 0*r = -3*r - 7, -i*o = 4*r + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2. Let h be 3\/5 - (-34)\/10. Let c(a) = -8*a + 2*a + h*a. Determine c(y(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 582 + -574. Solve 3*n - x - g = 0, -2*n + 8 = -2*x + 4*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -45*r - 186 - 572 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/6)*x\/x**4*x*x**(-3\/11)*x*x\/(x*x**(-24)*x)*x*x*x assuming x is positive.\nAnswer: x**(1643\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 62332 or -3711?\nAnswer: 62332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7952, 19098, 30244, 41390, 52536, 63682?\nAnswer: 74828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001101 (base 2) to base 4.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -3817?\nAnswer: 1908.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*k - 65. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 > -640083\/298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {v: 2, g: 4, s: 1, r: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z - 2. Let o be p(5). Let h(y) = y**2 - 8*y - 5. Let i be h(10). Let s = 15 - i. Solve s = -o*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -1, -4082.378?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**5 - 72*v**4 + 32*v**3 + 2240*v**2 + 5952*v + 4480.\nAnswer: 4*(v - 14)*(v - 10)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11 + 307a81b?\nAnswer: 307a82c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 8*d + 3*d - 41 = 0, -21 = -2*z + 3*d. Let p be 33\/z - (-2)\/6. Factor -2*t + p - 6 + t**2 + 3.\nAnswer: (t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 19*m**2 - 41*m + 21. What is the tens digit of w(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10345 or -10396?\nAnswer: -10396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -424.309808 rounded to one decimal place?\nAnswer: -424.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43741758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-6 + 4))\/1. Let l be (-5)\/(-10)*-4 - (2 + i). What is the nearest to -0.6 in 3, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97637421 is divided by 5424.\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 - -0.23. Let w = -3.97 - r. Let u = 11 + -10.9. Which is the closest to -0.1?  (a) w  (b) u  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 117862, 471430, 1060706, 1885690, 2946382, 4242782?\nAnswer: 5774890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, o: 1, c: 2, q: 1, h: 1}. Give prob of sequence qzoo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-3) - 6\/9. Let z(q) = -28*q + 7. What is the units digit of z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g**2 - 576*g - 2207. Calculate j(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 4*f + 21 - 8, 5*q - 25 = 0. Let i = 382.6 + 66.4. Let j = 450 - i. Which is the smallest value?  (a) f  (b) j  (c) 1\/11  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 3*o - 13 = 0, -56*j + 41*j + 2*o = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}