diff --git "a/data/dm_maths/full_data_1/1989_11255.jsonl" "b/data/dm_maths/full_data_1/1989_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1989_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common divisor of 1996608 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6552 divided by 91\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -316992 divided by -16?\nAnswer: 19812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2128)\/(-1617) + 17*11\/(-6171).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3450 (base 6) to base 12\nAnswer: -586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 21*w - 44. Determine n(24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -301*2\/(6\/(-9)). Suppose -4*c + p + s = 0, 0 = -c + 3*p + 216 + 7. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2. Let r(g) = 27*g**2. Calculate r(a(p)).\nAnswer: 972*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u - 2*u**2 - 1\/3*u**4 - 1\/105*u**7 - 1\/3*u**3 + 0 - 1\/5*u**5 - 1\/15*u**6. Factor g(t).\nAnswer: -2*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16*(3 + ((-38)\/(-4))\/(-1)). Let f = j + 106. Solve -5*l + n - 9 = 19, 0 = -f*l + 4*n - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 200251*b**3 + 602*b + 301. Let s(a) = -1335*a**3 - 4*a - 2. Determine 301*s(q) + 2*y(q).\nAnswer: -1333*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16681, 34254, 51841, 69448, 87081?\nAnswer: 104746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:37 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 1. What is the units digit of 2*4\/(-8)*c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a + 72 = -86*a. Solve 20 = -5*m, 2*f = 3*m - 7*m - a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 - 5*b + 6. Let d be i(4). Solve u = 5*v - 22, 5*v + 3*u - 6 = d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + g - 2. Let l be w(2). Let s = 37 + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 20. Find the second derivative of 99*y - 95*y + l*y**4 + 10*y**4 wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 7*o - 3*o - 10, 2*o = -5*n. Let t be (6\/(-10))\/((-198)\/(-6270)). What is the tens digit of (-1)\/(-1) - -4*t\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-1316973)\/(-11760) - 112)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3155+150862286303\nAnswer: 150862289458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/17, -0.1, -5 in descending order.\nAnswer: -0.1, -2\/17, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 87*z**2 - 30*z + 39. Let l be x(-43). Let p = l + 597. Calculate the remainder when p is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - l**3 + 3 - 7*l**2 - 1 + 0. Suppose 25*h = 17*h + 24. Suppose -5*c = -b + 2*b + h, -3*b + 3*c - 27 = 0. Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095*n - 1799*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 1685, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -2\/11 (c) 3\/5 (d) -25298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {h: 1, c: 2, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58058661.\nAnswer: 3, 19, 37, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-6))\/(14\/(-21)). Let z(q) = -q**v - 2 + 4 + 3 - 9*q + 16*q. Give z(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + 8 + -7. Let k be (4*b - 0) + 36\/(-9). Suppose -334 = -k*v + 194. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -645*w**2 - 38*w + 13. Let p(q) = -8*q + 1. Give k(b) - 5*p(b).\nAnswer: -645*b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/430 and 113\/18.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 4, i: 1, w: 1, u: 6}. Give prob of sequence wa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00737525186 rounded to seven dps?\nAnswer: 0.0073753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duxlxluuuffuxx. What is prob of sequence ulf?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 3 (c) -5 (d) -0.06955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -628\/5. Let m = 13\/20 + x. Sort m, -9, 5 in descending order.\nAnswer: 5, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 3, -3, 1091.\nAnswer: -3, 2, 3, 7, 1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 minus -21?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160592 or 160593?\nAnswer: 160592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 335*r + 8046. Determine f(-22).\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -429*n**3 + 5*n**2 + 5*n + 5. Let v(x) = -215*x**3 + 2*x**2 + 2*x + 2. Calculate -2*m(a) + 5*v(a).\nAnswer: -217*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.6764ml in litres?\nAnswer: 0.7076764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*n**3 + 261*n**2 - 54*n + 63*n + 0 + 0.\nAnswer: 6*n**3 + 261*n**2 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 12 - 12)*(-3*x + 0*x + 4*x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*3\/27*6*2\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15304, -32949, -50582, -68203?\n\"Answer: 6*d**2 - 17663*d + 2353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436878 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: Suppose -4*n + m = 4*m - 18, 5*m - 25 = -5*n. Suppose n*j = 3*t - 2*j + 22, 4*t + 5*j = -6. Sort t, 5, 2 in descending order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 17325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 405484891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036400905 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 1.93. Let g(h) = h**3 + 18*h**2 + h + 17. Let w be g(-18). Which is the nearest to w? (a) 1\/9 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhthhhhthhhhhhh. Give prob of sequence tht.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*o**2*z - 6*o**2 + 34*o*z + 140*o + 15*z + 13 wrt z.\nAnswer: -46*o**2 + 34*o + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2431.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.12, -3\/4, 2, -10 in decreasing order.\nAnswer: 3, 2, 1.12, -3\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 769 divided by 17\nAnswer: 769\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(33\/7))\/(q*q\/(q\/q**(4\/9)*q)*q))\/((q\/q**(-6\/13))\/(q\/(q\/q**(-1))*q*q)) assuming q is positive.\nAnswer: q**(3119\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 104, 153, 200, 245, 288, 329?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = n. Let p(v) be the third derivative of v**4\/24 + 7*v**3\/6 + v**2. Let q be p(n). Solve 21 = -q*c + 5*l, -2*c = 3*l + 9 - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*1*(1*sqrt(112) + sqrt(112))*-1)**2.\nAnswer: -7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f + 3*f)*((-162*f**3 + 241706*f**2 - 241706*f**2)*(3 - 2 - 3) + f**3 + 3*f**3 - 5*f**3).\nAnswer: 969*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/10 + 4\/(-10). Let f(j) = j**2 - 31*j + 24. Let v be f(30). Let p be 3178\/i + v\/(-18). What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -32. Factor -3*z**d - 12 + 15*z - 49*z + 22*z.\nAnswer: -3*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let m(f) = -5. Let y(c) = -c + 35. Let w(b) = -35*m(b) - 5*y(b). What is n(w(x))?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 0.2381 (c) 5 (d) 1 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2706925 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 + 2*d**4*m**2 - 168*d**4 - d**2*m**2 + 23*m**2 wrt d.\nAnswer: -120*d**2 + 48*d*m**2 - 4032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 - 1193 = -5*g + 4*m, -g + 354 = 2*m. Let z be 3*((-512)\/12 - -3). Let c = g - z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(6*(-7)\/21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 4. Suppose -36*t = -37*t + 19. Calculate the remainder when t is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + -17 + (26 - 30).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2490496 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.67 - -3.77. Let b = -34 - -173\/5. What is the closest to s in 4, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4009505608 divided by 4?\nAnswer: -1002376402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h. Suppose -2*m - 14 = -3*l - h*m, 3*l + 6 = -3*m. Differentiate 0*b - 3*b + l + b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/5 + 2676*y**2\/5 - 73526*y\/5 + 50232 = 0.\nAnswer: -1365, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -3*(sqrt(6) - 3*sqrt(6)))\/sqrt(3)*2.\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(2 - 0) + 14. Suppose 8 = 5*o - o. Suppose o = -3*m + 17. Solve 4*t + m = -u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2587.\nAnswer: -3, -2, 2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1795, -7102, -15919, -28222, -43987, -63190, -85807, -111814?\n\"Answer: 4*f**3 - 1779*f**2 + 2*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/2*-4)\/((-10)\/35). Let j(f) be the first derivative of 3\/2*f**2 + 0*f - d. Let b(r) = 13*r**2. Determine j(b(p)).\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.5. Let i be (-2)\/(-1 - (1 + -1)). Which is the nearest to k? (a) i (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2459 + 2764.7. Let n = 306 - h. Let o = -0.7 - -3.7. Is n less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -2*f**3\/3 - 33*f**2\/2 + 44*f - 481. Determine y(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5530 + 23989*g - 3400*g - 5530)*(-2 + 1 + 0).\nAnswer: -20589*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (16 - 11) + 7 + -39 - 3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 6. Let o be f(6). Suppose -2*z + 6*z + 24 = o. Let w = z - -12. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - -2) + 1 - (19 + -8 - 16 - -7).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*z = -188*z - 77. Suppose 19*p - z = 8. Solve 13 = 7*n - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 + o**2 + o - 1. Let x be y(1). Suppose 5*p = u - x, 0 = -u - 3*u - 4*p - 40. What is the tens digit of (u - -70)*4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 749990*v + 20. Let o(l) = -2249973*l - 58. Let u(w) = -11*m(w) - 4*o(w). Let d be 2\/8 - (-75)\/(-12). Let g be u(d). Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23727710.\nAnswer: 2, 5, 31, 76541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 - 2 = 0. What are the prime factors of 9*(4 + 1\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578434.9 rounded to the nearest 1000?\nAnswer: -578000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11102*-1.096\nAnswer: 12167.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, 0.4, 2, 1, 5, 0.08 in increasing order.\nAnswer: -544, 0.08, 0.4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 5?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 802 = 2*a, -2*w + 582 = w + 5*a. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 + -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hppuushuphuhh. What is prob of sequence pspu?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000292 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-85 + -1) - (-60 + 130 + -63).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 354 + 1628 = 0. Put q, -1, -2, -4 in decreasing order.\nAnswer: -1, -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 8. Solve b = 2*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 + -1)*-1. Suppose 5*d = 4*q + 24, 5*d - d - c*q - 18 = 0. Let y(t) = 3*t - 2. Let z be y(d). Calculate the greatest common divisor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*b, 50*b - 47*b + 349 = 5*n. What is the derivative of 49 - 42*g + 15 + 168 - n*g wrt g?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 0.07, 2\/13, -5, -1, -5\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**0*b)\/b))**17\/(b**7\/(b**(3\/7)*b)))**(4\/5) assuming b is positive.\nAnswer: b**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3882 minus 3000832.61?\nAnswer: -3004714.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8392 or 80?\nAnswer: -8392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232\/707003 or 0?\nAnswer: 232\/707003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5140 and 680980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, -2\/1989, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 5*p + 7. Let z(w) = 5*w + 2*w**2 + 0*w - 2*w + 4. Let v(q) = -4*u(q) + 7*z(q). Find the second derivative of v(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7819421 and 5547?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 + -198. Which is the closest to y? (a) -1\/4 (b) 0 (c) -0.5 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 34, -121, -276, -431?\n\"Answer: -155*p + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3933124 and 5980?\nAnswer: 452309260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.9, -2\/7, 0.03, 55, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2. Let d(m) = -24*m + 24*m - 38*m - 66*m. What is q(d(v))?\nAnswer: -64896*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 12.269.\nAnswer: 16.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 340722226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/140598 and 89\/155052.\nAnswer: 16590564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 5*a - 3. List the prime factors of i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 13 + (-4 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + k + 24. Suppose -5*t - 2 = 3*y, 5*t = y - k*y - 8. Suppose 412 + 272 = y*l. What are the prime factors of l?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 - r - 9. Let s(d) = d**3 + 3. Let t(b) = 7*s(b) + 2*v(b). Let o(m) = -6*m**3 - m**2 - 11*m + 16. Give -2*o(u) + 11*t(u).\nAnswer: u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012932 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034473493837 minus 0.11?\nAnswer: -0.144473493837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.07 - 47. What is s rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - l + 41 = -27*d, -17*l = 3*d + 3*d + 31 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*b - 216 - 174 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-64))\/(-5)*64\/(-680)*5.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 172.9 (b) -0.04 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -785, -6569, -22267, -52835, -103229, -178405, -283319?\n\"Answer: -826*l**3 - l**2 + l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53045\/8008 + 1\/1001. What is the common denominator of ((-2)\/(-3))\/((-44)\/9) and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-312)*(-16 + 18)\/(-2)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5900 + 3 + (1 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 - 263. Suppose 3*z - 189 = 411. Let s be (-96)\/z + (-2)\/(-5). Put -0.1, 5, w, s in descending order.\nAnswer: 5, w, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 58*o = -114. Sort -57, 0.4, o, 4 in ascending order.\nAnswer: -57, o, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5085 + 8?\nAnswer: 5104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/4 - 2*q**3\/3 + 47*q**2\/2 + 9*q - 98. Is m(-12) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 1.6. Let y = x - -3.04. Sort 0.5, y, -5.\nAnswer: -5, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 9, 0*u = 5*u - 2*a - 6. Suppose -5*n - 5 + 20 = u. Suppose n*w + 0 - 6 = 0. Solve 19 = -3*z + 4*g - 7, -18 = 4*z - w*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20909631 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 291 - -1070. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1232\/(-66))\/(2\/1425000). What is c rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 + 22 - 3*z**2 - 19 - 10*z**2 as f + o*z**2 + s*z and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 16 = 0. Suppose f*c - 44 = -0. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 16*n - 1. Let z(q) = 4578*q**2. Calculate m(z(b)).\nAnswer: 73248*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 729\nAnswer: -2\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-18)*(-12)\/8. Suppose 0 = 4*q, 3*h - 3*q = -0*h. Is h at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10*(-11 + 1). Let x(l) = l - f + 4. Let b = 2 + -2. What is x(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14651 (base 7) to base 16.\nAnswer: -1007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -4 (c) -9 (d) 0.88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - -4. Calculate the highest common divisor of 175 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15729 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 6. Let m(l) = 7*l + 5. Let b(q) = -2*m(q) - 3*x(q). Let h(a) = -a**2. Calculate b(h(s)).\nAnswer: -s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 147978734 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/174 and 131\/24012.\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*s + 10, -15 = -5*s + 8*s. Suppose -4*x + 276 = 264. Factor 2\/3*n**5 + 0*n + 0 + 4\/3*n**2 + p*n**4 - 2*n**x.\nAnswer: 2*n**2*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46663397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4712 - -4720. Suppose -48 = -3*k + 21. Solve -h = -2*w - 5*x + k, 5*w - 20 = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 * -4\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3\/3 - w**2\/2 + 19*w + 191. Let l be h(4). Let r = 19\/22 + -4\/11. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82 + 53 + 55*r + 31 in the form m + o*r and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (13 + -1 - 10 - 14 - 18)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10635\/180632 or 1?\nAnswer: 10635\/180632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15624*t + 15649*t - 50 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2 - 582*m + 1764 = 0?\nAnswer: -294, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24271613*z**3 - 113048198?\nAnswer: -72814839*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181*o**2 - 32*o**4 + 12*o - o**3 - 42*o + 30*o wrt o.\nAnswer: -768*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**2 + r + 29. List the prime factors of h(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4, 59, -1, -3, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1067 or 1071?\nAnswer: 1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.34. Let p = 322 + -320. Sort w, p, -5 in increasing order.\nAnswer: -5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 21*l - 25. Let p be j(-19). Let f = p - 13. Put 0.4, 0.8, f in increasing order.\nAnswer: f, 0.4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.9 - 34.94. Suppose -3*l - 5 = -n, -2*l - 3*n - 6 = -4*l. What is the smallest value in z, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.7, -7\/4, -1\/10, 3\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w**3 - w**2 + w. Let n be y(-2). Let l be -55 - (-2 - 2\/(-2)). Let f = n + l. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 102 = 3*f + 4*s - 86, 0 = -3*s - 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335915280 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5675*o + 7110775. Give i(-1253).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f + 16\/3*f**4 + 0 - 13*f**3 - 26*f**2. Differentiate r(h) with respect to h.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (2 - 2) - -1. Suppose 2*x + 68 = -x + i*o, x + 2*o + 16 = 0. Is x\/15*3\/(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1555834 and 444524?\nAnswer: 3111668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -424688*c*o*z**2 + 3*c*o*z + 237868*o*z + 29*z**2 wrt c?\nAnswer: -424688*o*z**2 + 3*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/117 - -80\/117. Let s = 96 + -289\/3. What is the second smallest value in u, s, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8800 and 63855?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 894, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33000002113 (base 4) to base 8\nAnswer: 17000227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2608218, 2608158, 2608098, 2608038, 2607978, 2607918?\nAnswer: 2607858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4472*o - 3 + 4466*o + 3 + 26*o**3.\nAnswer: 26*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -6. Differentiate -o**3 - 12*o**3 - 7*o**h + 18 with respect to o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulu when three letters picked without replacement from {l: 4, u: 3, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -520.9 - -553. Let t = 32 - j. Which is the second smallest value? (a) -6 (b) 1 (c) -6\/11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152237033 to the power of 1\/3, to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221099, -442175, -663251, -884327, -1105403, -1326479?\nAnswer: -1547555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -81298*t + 2. Let h be n(9). Let z = h + 1219981. Suppose 3*l + 170301 - z = 0. What is l rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -691 + 717. Let z(r) = r + 7. Let h be z(0). Let n = h + 3. Calculate the smallest common multiple of n and v.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.35 and 0.1?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104087066*z**4 + 291764*z + 6?\nAnswer: -1249044792*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(768) - sqrt(12) - (-3 + 3*sqrt(12)).\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)\/(18\/4 + -5). Solve r = -d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4 - 6)*(5*y - 2*y - y) - y - 4*y + 3*y + (-y + 0*y + 3*y)*(-2 + 3 - 2) - 3*y - y + 2*y)*(-16 - 95 - 340 - 96).\nAnswer: 1094*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0 - 1\/20*y**5 + 3*y + 1\/2*y**4 - 1\/2*y**3 - 7\/2*y**2. Let k be d(5). What is the greatest common divisor of 15 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-10) - 1\/(-2). What are the prime factors of ((-1)\/(-1))\/(z\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/20 + -1\/20. What is the biggest value in -0.3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186042 + -0.05\nAnswer: 186041.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3929.5 - -0.5?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/32*(-84)\/(-49).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918\/(-216) - (-1)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 371135.\nAnswer: -148454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -38 (b) -0.5 (c) 14 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 24*p**2 + p**2.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + -0.03. Let n be (1 - 3)*(-1)\/(-8). Let m be (-2)\/12*(-276)\/299. What is the nearest to h in m, -5\/3, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -2\nAnswer: 179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) 37 (b) 4 (c) -4\/19 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1967 and 52682.\nAnswer: 14803642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/60 and 35\/272.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/55)\/((405\/180)\/((-198)\/60))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203700 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9996 in 8.9, -0.7, 2\/15, 1\/3?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -1375*q**4\/12 + 170*q**3\/3 + 3*q**2 + 2969*q. What is the second derivative of v(c) wrt c?\nAnswer: -2750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 1, 3, -4\/3, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1281*n + 10458. What is the least common multiple of 390 and c(8)?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 39 = -11*g + 5*g. What is the fifth smallest value in -40, -2\/5, g, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20075*n - 65443 - 5*n**3 + 1135*n**2 + 5467 - 37536*n - 5004 - 46379*n = 0. What is n?\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -164. Is w less than 192\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1305\/88 - 159\/11. Let x(s) be the third derivative of 12*s**2 + 0 + 11\/6*s**3 + 0*s - o*s**4. What is the first derivative of x(r) wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c - 136 + 1986 = 142 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 23 = -47 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (22 + (-4422)\/220)\/(6\/(-30))\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 8, d: 8}. What is prob of sequence kf?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - m**2 + 4*m - 2. Let o(x) = 8*x**3 - 5*x**2 + 21*x - 8. Calculate -4*a(h) + o(h).\nAnswer: 4*h**3 - h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 12*x - 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127676\/98462 - (-8)\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzpwpwwpppwpwzpz. What is prob of sequence zyw?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-24) + (-142)\/(-12). Suppose m*a = 9*a + 12. Suppose -10 = 5*n - 4*n - 2*u, n - a*u + 20 = 0. Solve n = -0*c + 2*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -3. What is the tens digit of 11*(-2 - (l + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183.45 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = -2. Suppose -50 + o = -3*x. Solve 4 + x = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 301816 or 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r - 4*k - 12, 9 = -r - 3*k. Are r and -2\/119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.646551mm in kilometers?\nAnswer: 0.000001646551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57001.15ns in microseconds?\nAnswer: 57.00115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75960 + 170339. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**4 + 456*p**3 + 6722*p**2 + 6384*p + 1568.\nAnswer: 2*(p + 28)**2*(2*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 9*u**2 - 14*u - 6. Let h be 1\/5 + (-1239)\/(-105). Suppose -5*x + v = 30, -v + 2*v = -x - h. Let l be r(x). Let d(y) = -y - 4. Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 11. Find the second derivative of -8*c + q*c**5 + 76*c**2 - 76*c**2 wrt c.\nAnswer: 440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 4 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1\/(-2)) + 6. Let u be 18\/p + 2\/4. Suppose 147*f + 111*f - 32*f - 904 = 0. Solve -o - 3*o + u*v = -27, 0 = -4*o - f*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 5*c - 4*c)*(158 - 158 - 30*c**3 + (-3 + 4*c + 3)*(c**2 - 3 + 3) + c**3 - c**2 + c**2) in the form v*c + o + d*c**2 + w*c**3 + u*c**4 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167894*k**3 + 202548*k**2?\nAnswer: 1007364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3721 plus -172?\nAnswer: -171.6279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*d + 13 = 0, 71 - 45 = -c + 4*d for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Suppose 0 = -4*w + 5 + 3. Let u(s) = -2*s**2 - 2*s**2 + 6*s**w + 5*s**2. Determine n(u(a)).\nAnswer: 49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 125?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 38. Let m be 68\/g + 0 + 3\/5. Suppose -11 = 3*p + m, 0 = -2*q - 2*p + 276. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2\/3 (c) -17.6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1256 and -4?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 34 = 10. Does i = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 8*k - 17. Let o be x(-10). Let d(u) = 3*u**3 - 28*u**2 - 9 + o*u + 25*u**2 - 2*u**3. Let y be d(3). Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m. Let f = -60 - -55. Let p(k) = -5*k - 1. What is f*y(j) - 2*p(j)?\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 s when three letters picked without replacement from giseoosioggiioyoiyyg.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10004363 (base 7) to base 15.\nAnswer: 114722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -202795, 1, 5 in decreasing order.\nAnswer: 5, 1, -19, -202795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 70.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 + g**2 + 71 + 52 + 14 + 2*g + 190 to r*g + m + f*g**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150353, 150308, 150263, 150218?\n\"Answer: -45*r + 150398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506 - -770. What are the prime factors of (-2)\/(-9) + b\/27?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35869 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n)*(-1 + 1 - n**2) + (-44465 + 44465 - 134*n)*(2*n**2 + n**2 - n**2).\nAnswer: -267*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516*q**2 + 2*q - 700*q**2 + 1187*q**2 - 2*q.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*t - 5*y, t = -6*y + 5*y + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 - 7*m - 6. Let h be z(8). What is the highest common factor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 498 - 498.578. Let b = -0.243 + 0.201. Let x = q + b. Round x to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 4585*l**3 + 17233*l**2 + 19544*l + 6900 = 0. Calculate l.\nAnswer: -2, -1, -3\/4, 1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221 and 1514887?\nAnswer: 19693531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f + 2. Let g be o(8). Let s(c) = c + 0*c + 3*c - g*c - 5. Let y be s(8). Calculate the greatest common divisor of y and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/27, -6\/25, 1, -26, 2\/15?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1\/3*l**3 + 9 + 0*l**2 + 0*l. Let c(s) be the second derivative of -s**4\/12 - s. Give c(x(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -850777 or -850781?\nAnswer: -850781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*k - 224, 3*x + 22*k = 26*k + 322. What is the highest common divisor of x and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 3*z - 4. Let o(f) = 4*f**2 - 3*f + 3. Let y(x) = -5*h(x) - 6*o(x). Let j(l) = -16 - 5*l + 6 - 2*l**2 + 5. Give -2*j(r) - 5*y(r).\nAnswer: -r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by 128.\nAnswer: -247\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13963950 divided by -4550.\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 391 + 95 = 2*v, -v - 471 = -2*n. Suppose 248 = 2*w + n. Solve -i = -w*z + 18, -4*z + i = -6 - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -90. Suppose 14*l - 18*l + q = 0. Suppose -3*c - 4*f + l*f + 55 = 0, 4*c - 15 = -5*f. What is the remainder when 68 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + (sqrt(150) - sqrt(150)*-2*-6 - sqrt(150)))*-3)\/(-1*sqrt(300) - sqrt(108)*-2).\nAnswer: 165*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, z: 1, v: 4, i: 6}. What is prob of picking 1 i and 1 m?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 711\/3*8\/12. Suppose 10*x - 2*o = 5*x + m, x = 2*o + 30. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 4. Calculate s(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 14*v - 14 = 0. Suppose 0 = -0*r - v*r - 4, 3*r + 5 = q. Is (-7 - 22\/(-3))\/(q\/(-549)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6887*z + 1590834. What is s(-231)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:55 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + 226. Let z = -311.9633 + q. Round z to three dps.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 (base 9) in base 7?\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*(-48 - (-20 - 32) - (-4)\/6*-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 436*n + 71 = -432*n, -1097 = 5*s - 58*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 69\/(-7) + 29\/((-145)\/(-50)). Let y = 4.5 + -4. What is the biggest value in -7, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j - 3*j**2 - 7*j + 10*j**2 - 2*j wrt j?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 121*z - 1884. Determine s(141).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, q: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*50\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 11, 3, -12 in descending order.\nAnswer: 12, 11, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 - 19197*n**2 - 11006037*n\/2 + 513157177638.\nAnswer: 3*(n - 8673)**2*(n + 4548)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*s + 36 - 51*s - 49*s)*(1 + 1 - 1).\nAnswer: 2*s + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 - v**2)*(3743*v**3 + 9582*v**3 - 3722*v**3 - 4).\nAnswer: -19206*v**5 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 20. Let r be u(-10). Suppose r*c = -5*c + 220. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000313 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44365106*f**2 + 17494847*f wrt f?\nAnswer: 88730212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28665148 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3 + 180512*p**2 + 3972088*p + 13000032 = 0.\nAnswer: -18, -4, 90278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p + 57*p + 54 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/692 and 145\/2076?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14405?\nAnswer: 5, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 822 or 425?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -117\/100 (c) 0 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 56*y - 60*y - 22, -5*a + 64 - 28 = -y + 69 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**3 - 16*z**2 + 2*z - 25. Give o(5).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/5*(-1 + 42\/12). Suppose 0 = -y - 3*c + 2762, -b*c - 13850 = -5*y + c. What are the prime factors of -3*(y\/6)\/(-8)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*x - 134*x + 311*x - 129*x + 86*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + 8 + -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y - 17. Let b(p) = 35 - 7 - 6*p - 13 - 10 - 11. What is -11*b(n) + 4*o(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24302*a*p - 64*a + 235*p + 9872 wrt p?\nAnswer: -24302*a + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -51 - 57 - 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3420 (base 5) to base 6\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 12*k - 13. What is o(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8\/p**(-3\/4))\/((p*p*(p\/p**(-1\/3)*p)\/p*p*p)\/p**19))**22 assuming p is positive.\nAnswer: p**(2959\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/90 - 61*a**4\/12 - 60*a**3 + 4113*a**2. Let c(f) = 0. Calculate f.\nAnswer: -180, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 14*f**2 + 5*f - 20. Let m be z(14). Calculate the remainder when 19 is divided by m\/4*(-20)\/(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -196*c. Let w(l) = -65*l. Give 14*w(m) - 5*z(m).\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 59\/(-5) + (-216)\/(-18). Let v = 11 - 20. Let f be (-12)\/6*v\/(-6). What is the biggest value in f, 2, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:49 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**9\/15120 - w**7\/840 - w**4\/12 - 2*w. Let h(o) be the third derivative of s(o). Find the third derivative of h(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-5)*0)\/(0 - 1). Solve 0*o + 14*o - 28 = h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6*2\/42)\/((-3)\/84). Let p be (-75)\/(-6) + (-1)\/2. Solve -4*w + h = -p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-1 - sqrt(5))*6 + (sqrt(500) + -2)**2.\nAnswer: -52*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 18, 32, 46, 60, 74?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(320) + 0 + sqrt(245) - (sqrt(20) + -1*sqrt(180))\/(sqrt(24)\/(1*sqrt(6)))).\nAnswer: 99*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3 + 2163. Let n(w) = 39*w**2. Let f(z) = 2262*z**2. Let u(k) = 2*f(k) - 117*n(k). Give j(u(r)).\nAnswer: -4563*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k. Let r = k + 3. Let c(l) = r*l + 2*l - 4*l. Let b(t) = 2*t**2. Give c(b(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Suppose -b = 4*f + 16. Let a(m) = -m**2 - 5*m + 5. List the prime factors of a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3\/5))\/(x**1*x))\/((x\/x**11)\/(x**(-1\/3)*x)) assuming x is positive.\nAnswer: x**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79507, -162662, -245817?\n\"Answer: -83155*v + 3648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 + -80. Let s = t - -7. Suppose 5*z + 4*x = s, -2*z - x + 9 = -9. Solve -j = f - 0*f - z, -j + 4*f = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*f - 10*f + 38*f)*(25*f**2 + 21*f**2 - 43*f**2) to q + j*f**3 + d*f**2 + v*f and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/360 - n**3\/2 - 2*n**2. Let c(v) be the first derivative of s(v). Let h(f) = -5*f**2 + f. Give 3*c(b) - h(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513589 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(((-6)\/8)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-126)\/35 - (-4)\/(-10). Let t = 51 + y. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a537 (base 16) in base 4?\nAnswer: -222110313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -f. Let o be f*2*2\/(-4). Suppose -z = -o - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 34012659*o**2 + 25509492*o.\nAnswer: o*(o - 8503164)*(4*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1 - 9*p - 3 + 39*p**2 - 40*p**2. Let w be t(-9). Put w, 0.3, -2\/13 in descending order.\nAnswer: 0.3, -2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129607 >= 123906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 - (-2 + 3048\/1368)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from {t: 3, i: 2, m: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (sqrt(567) + 0)**2*-5 + (0 + sqrt(567))*5 + -6*(-2*((3*sqrt(567))**2 - sqrt(567)) - sqrt(567))).\nAnswer: -291980 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969842 is divided by 13308?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -35\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Let i be y(0). Let v(l) = 4*l**2 - l. Let r be v(1). Let d(x) = 4*x + 4. Let p be d(r). Solve 4*f + i*f + p = 3*c, 5*f + 17 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -0*a - 8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 0 - -5) + (-12876)\/(-2). Find the second derivative of 72 + 6436*y + 3*y**2 - 112*y**2 - c*y wrt y.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 7 = 5*d. Suppose -l - 3*q = -20 - 70, 3*q = -d. Suppose -16 = 5*c - l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:19 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7818*i**2 - 10986*i wrt i?\nAnswer: 15636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005336731 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -244*y**3 + 2*y**2 - y - 1. What is c(1)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -3\/8, -4\/7, -4, -5, -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 58. What is the second biggest value in -14, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 6784?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*t - 909*t + 7084 = -1908 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4044749 or -4044799?\nAnswer: -4044799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaxaaaaaaaaxaaaax.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*j + 375*j - 277*j + 203*j.\nAnswer: 630*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 77. Let u be 8\/3 - 6\/9. Suppose -3*y - 79 = -u*w, -2*w - y = -26 - a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/5)*(-756)\/300*-5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3. Let h be o(1). Let z = -0.6 - -0.2. Which is the third smallest value? (a) z (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13))**49 assuming r is positive.\nAnswer: r**(196\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31625 + -30390. Is -2 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875076 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 + 678\/7. Let g = -0.04 - 0.46. Which is the biggest value? (a) g (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 137 = s - 94, 0 = 5*s - 3*w - 1247. List the prime factors of s.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(343) - (-5 + 1*sqrt(343)) - (sqrt(343) - (-1 + sqrt(343) + 1)))*-3)**2 + 2 + 3).\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3238, 2370, 914, -1130, -3762?\nAnswer: -6982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2333 + -3?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14985 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1749 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/319860 and -3\/2690.\nAnswer: 86042340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 100*r + 125 + 1\/5*r**4 + 4*r**3 + 30*r**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6055*h = -127628 + 15328 - 99625 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 789.519 litres?\nAnswer: 789519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653.937 kilograms in nanograms?\nAnswer: 5653937000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 218*y**3 + 556636*y - 556636*y.\nAnswer: 218*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72036 and 261?\nAnswer: 72036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 368*u + 3077. Calculate r(-8).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1184422 and -37.\nAnswer: -43823614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:57 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20*2*1)\/((-5)\/225)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 + -3. Let w = -2\/30919 + 97192\/278271. Let z = 4\/7 - w. What is the third smallest value in -1\/3, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0625 to two dps.\nAnswer: -6.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 26. Let n be (-8)\/(512\/(-24)) - (-13)\/8. Let i(y) = 12*y**2 + 3 - 15*y**n - 3. Determine z(i(t)).\nAnswer: 9*t**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 9, b: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, m: 1, h: 2, u: 4}. Give prob of sequence sh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:05 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p + 143. Let n be l(6). Let q be (-5 - (-17)\/n)\/((-2)\/5). Solve -31 = -q*w - 51 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*z**2 - 79*z**2 - 68*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1170 - -822. Let r = i - -350. Which is the closest to 1\/3? (a) 3 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/16)*q**(-42) assuming q is positive.\nAnswer: q**(-673\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**5 + 176255*i**4 + 13374090*i**3 + 266992310*i**2 + 494567345*i + 240772875 = 0.\nAnswer: -35175, -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let l(r) = 2*r**2 - r. Let d be l(u). Suppose 7*v - 2*v = d. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*m**2 + 14 - 26 + 12 to g + r*m + b*m**2 and give b.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 5*u**2 + 5*u**2)*(-u**2 + 3*u**2 + 0*u**2) + 245*u**2 - 493*u**2 + 245*u**2 - 63*u**4 + (u**2 + 0*u**2 + 0*u**2)*(-4*u**2 + u**2 + 0*u**2).\nAnswer: -70*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 32*v = -u + 45, 3*v - 2*u = 45 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.058 (b) 1\/4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576415, -576414, -576413, -576412?\nAnswer: -576411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 284652 divided by 142326?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 28*g**3 - 2683*g + 2683*g)*(0*g + 0*g + g + 7).\nAnswer: 28*g**4 + 196*g**3 - g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1100.46045 + 1100.8. What is b rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o + 11. Calculate u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avee when four letters picked without replacement from {v: 1, e: 7, a: 11}?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/29 - -1822\/87. Let i = -121\/6 + s. Which is the closest to -1? (a) i (b) 0.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + (-14 - 21) + 128.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**5 - 3\/4*w + 1\/2*w**3 + 0 + w**4 - w**2.\nAnswer: w*(w - 1)*(w + 1)**2*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i - 11\/24*i**4 + 0 - 5\/6*i**3 + 5*i**2. Is s(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/7 - 22*i**2\/7 - 48*i\/7 = 0. Calculate i.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1539*w**2 - w - 3. Let o(a) = 6166*a**2 + 4*a + 11. Calculate -4*o(q) - 15*x(q).\nAnswer: -1579*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = -2*v + 58202, 0 = 3*v - 3*x - 87297. Round v to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11010 and 14250.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198152 and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 8*c - 8. Let j(g) be the first derivative of g**3\/3 + 3*g**2\/2 - 3*g - 64. Give 11*j(u) - 4*t(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(2 + 1) + (-54)\/(-9). Sort 5, -8, -5, s in descending order.\nAnswer: 5, s, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33614 (base 13) in base 8?\nAnswer: -266171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 137. Calculate the lowest common multiple of o and 8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56445385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**6*d)*d*(d\/(d\/d**(4\/9)*d*d))\/d*d*((d*d*d\/(d**0\/d))\/d)**32 assuming d is positive.\nAnswer: d**(796\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169767 = 7055*k - 393*k - 360*k + 536057 for k.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66424, -65214, -64004, -62794?\nAnswer: -61584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5952 - 5943. What is the smallest common multiple of 109 and f?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524112 and 2685.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 - -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b - 10. What is the tens digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2. Suppose 0 = -16*v + 12*v - 172. Let w = 44 + v. Let k(t) = 1 - w - 1454*t + 1453*t. Give k(c(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137345, 137367, 137423, 137531, 137709, 137975, 138347, 138843?\nAnswer: 139481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 0.0952?\nAnswer: 0.0952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/30)\/(2\/10)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/7)*s**(-19)*s assuming s is positive.\nAnswer: s**(-129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(18)\/sqrt(3)) + (sqrt(156) + -2*sqrt(156))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9331139 to the nearest integer?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 286 divided by -13\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/151 + -141\/755. What is the nearest to 0.1 in -1\/9, -4, h?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/12*z**4 + 1\/20*z**5 + 22 + 0*z**3 + z + 1\/2*z**2. Let s(a) = 6*a**3 - 9*a**2 + 9. Determine 9*n(p) - s(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 17*z**2 + 20*z - 9. Give c(18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 192*x**2 - 6606*x - 4413. Calculate a(123).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*((-738)\/(-54) - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2. Let d(u) = 7*u - 8. Let b(k) = -2. Let q(m) = 6*b(m) - d(m). Calculate q(i(o)).\nAnswer: 70*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 10*q - 9. Let l be a(-11). Let 0 - 1\/2*t - 1\/4*t**l = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) - (-17)\/4. Let w(k) = k**3 - 14*k**2 + 56*k - 61. Let d be w(8). Let l(c) = -2*c + d*c + z*c - 3*c. Let q(x) = -x + 15. Give q(l(a)).\nAnswer: -2*a + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6837462*j**3 - 5617612*j**2?\nAnswer: 41024772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32034 = -405*z + 94*z - 23*z + 53*z for z.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728255 divided by -345651?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6026 and -44\/21.\nAnswer: 126546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017833 rounded to 7 dps?\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgg when three letters picked without replacement from {l: 4, g: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 10495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*v**3 - 2*v**4 - 1 + 1370*v**3 + 911*v**3 + 2 + v**2 to n*v**2 + i*v**4 + x*v**3 + r*v + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -72\/13 (b) -3 (c) -0.4 (d) -0.5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 2.2. Let z = 4.09 - 0.09. Put 1, o, z in ascending order.\nAnswer: o, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 111*m**2 - 7*m - 27. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/61 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/21 + 1\/(-7)*-3. Solve 10*j - y*j - 21 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 253610, -1 in ascending order.\nAnswer: -1, 3, 253610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3321736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -4*u. Let o be (-24 - -29)*(-1 + u) - -2. Let n be (-2)\/2 + 0 - -2. What is the smallest value in n, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaaadafaaaaafaaaf. What is prob of picking 3 a?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -12. Suppose 1 - a = -3*c. Suppose 239 = -2*s + c*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 703 = 312. Let l = -106 + j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2597*o**3 + 21*o**2 - 328*o - 6. Let z(s) = -3*s**3 - 7*s**2 + s + 2. Let h(k) = g(k) + 3*z(k). Find the second derivative of h(i) wrt i.\nAnswer: -15636*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20*k**3 - k**2 + 2*k - 1. Let t be b(1). Let p = -20 - t. Calculate the remainder when 186\/14 - p - 8\/28 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**3 - 11*l**2 + 6*l. Let i(n) = 13*n**3 + 21*n**2 - 12*n - 1. Let u(j) = -6*i(j) - 11*x(j). Let b be u(-6). Solve 4*f + b - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let h(d) be the first derivative of -5*d**3\/3 - 1. Give l(h(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12244 + -5?\nAnswer: -12253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + h**3 - 2*h + 80 + 22*h**4 - 153 to c*h**3 + x*h + w + d*h**2 + v*h**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.61 - -5.11. Let h = -19 + 12. Which is the second biggest value? (a) 4\/7 (b) l (c) -0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3 - 7\/6. Let v = -19\/10 - f. Let y = -1.5 + 1. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11810 times -1.83?\nAnswer: 21612.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:57 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149167121 to the nearest integer?\nAnswer: 12213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-520)\/64 + (-36)\/(-6). Which is the closest to 0.4? (a) -6 (b) 1 (c) l (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1150064 + 2?\nAnswer: -1150062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 14*d - 17*d.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*d + 5*d - 86635, 51967 = 3*x + 4*d. Suppose -2*q = 5*f - x, f - q = 1298 + 2160. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3053*n**5*z**3 + 2*n**5*z - n**2*z**2 - 2*n**2 + 7*n - 463*z**3 wrt n?\nAnswer: 183180*n**2*z**3 + 120*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 10*b**2 + 17*b + 10. Let v be z(-8). Sort v, 0, -5, 1.\nAnswer: -5, 0, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6*n + 6. Let z = 11 - -9. Let x be (-6)\/(-30) + 16\/z. Sort n, -5, x in decreasing order.\nAnswer: n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-27))\/((-7)\/(-36)))\/((-288)\/3024)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02216 - -0.02. Round m to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3235 - -3262. Let l = 43 - -11. Calculate the greatest common factor of y and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 10. Give h(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115136 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87870, 176072, 264274, 352476, 440678?\n\"Answer: 88202*f - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, p: 1, v: 1}. What is prob of sequence vd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25843 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2882070?\nAnswer: 2, 3, 5, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28033155?\nAnswer: 3, 5, 207653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**24*r**22\/r*(r**8)**(1\/12))**(2\/13) assuming r is positive.\nAnswer: r**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*f - 96*f + 7 = -9. What is the highest common divisor of f and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 786 + -46372\/59. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(180)*-3)**2 + sqrt(180)).\nAnswer: -1620 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y + 2*y**2 + 24 - y**2 + 6. Let l be j(-5). Suppose 4*n - 2 + 14 = 0. Put 4, l, n, 7 in decreasing order.\nAnswer: 7, 4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16280 and 891880?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = 566 - 2314. Calculate the smallest common multiple of k and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19922, 32463, 45004, 57545, 70086, 82627?\n\"Answer: 12541*s + 7381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426260 and 15140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2273278, -4546557, -6819846, -9093151, -11366478, -13639833, -15913222, -18186651?\nAnswer: -20460126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 - 7. Let o = -6.75 + -0.15. Let p = -5.9 - o. What is the nearest to p in -1\/3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2289416 and 41\/56?\nAnswer: 16025912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -37*r. Let d(c) = 3*c**2 + 4*c + 4. Let y(b) = 2*b**2 + 3*b + 3. Let i(f) = 3*d(f) - 4*y(f). Give i(h(g)).\nAnswer: 1369*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -274 + 276. Is 28\/16 - v - (-252240)\/64 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8394733?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20836880?\nAnswer: 2, 5, 260461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/(p**2\/p*p))**25)**1 assuming p is positive.\nAnswer: p**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117614560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/749912 and -93\/928.\nAnswer: 86989792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 66?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/25 + 8\/20. Sort -4, -5, u in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:15 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - ((11 + -6 - 1) + -5)) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (sqrt(228)*-2*-1 + sqrt(228) + 1*sqrt(228)*1)\/((sqrt(1200)*2 - sqrt(1200))*6) + -5.\nAnswer: -5 + sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/20 - x**4 - 4*x**3\/3 - 9*x**2\/2 + 5*x. Is o(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*((-3)\/6 + 0 + 2). Let b be (21\/6 + -2)*(-1)\/q. What is the nearest to b in 1, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07798661 to 3 decimal places.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24009935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-55)\/(-80) + (-1)\/8. Let a = 63 - 51. Suppose -52 = -13*b + a*b. What is the highest common divisor of b and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 8*c + 2. Let a be h(7). Sort a, 0, 5 in descending order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/22110440 and -61\/235045.\nAnswer: 641202760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-8)\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493186\/17 at least 87835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 603 = 66. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(1188\/(-8)) + 7459\/9. Let b = h + -827. Solve 0 = -w + r + b, 5*w + r = 4*r + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 4. What is b(-10)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 + 321. Let p = -97 + a. Suppose 0*j + 48 = 3*j. Calculate the remainder when p is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115735793686 - 0.177?\nAnswer: -0.292735793686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-11\/2)*p)**(-35)*p\/p**(-24)*p**(-12))**(-25) assuming p is positive.\nAnswer: p**(-6775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a*g*k*m**2 - 298*a*g*k*m + a*k*m - a*k - 8*a - 36*g*k - 5369*g*m**3 - g + 23*k*m**2 + 4*k + 1 wrt m?\nAnswer: -8*a*g*k - 32214*g*m + 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-20608)\/1729 - 279\/(-1767)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Let s be 2\/u*(1 - -5). Solve s*g + 1 = 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1369726 centimeters?\nAnswer: 1369.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 4, 0, -6, -14?\n\"Answer: -x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 70?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-1 - -4)*(-12)\/(-18). Suppose -5*w - 953 = -l*t, 5*w = -7*t + 6*t + 514. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*y**2*z**3 + y**2*z**2 + 873*y**2*z - 4*y**2 - 6720*y*z**2 - 17*z wrt z?\nAnswer: 84*y**2*z + 2*y**2 - 13440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 1. Let q(a) = 12899999*a + 1. Let h(o) = q(o) - 2*s(o). Suppose -4*t = 4, 6*t - 10*t = 4*u. Let i be h(u). Round i to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhyryhshhrhqhqhchh. What is prob of sequence shhc?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/116 and -115\/3348.\nAnswer: 97092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(108\/8)*6. Let j(p) be the third derivative of 0*p + 1\/3*p**3 - 1\/12*p**f - 3*p**2 + 0. Differentiate j(k) with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 5*y**2 - 8*y + 40. Let x be t(3). Let m = -3 - -2. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 - 5*c**4\/3 + 23*c**3\/6 + 43*c**2\/2 - 2*c. Let f be k(-21). Solve j - 2 = f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*w + 429*w = -24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 - k + 22. Let f be j(0). Suppose -f*x + 21*x = -3*g - 7139, 4*x - 4*g - 28564 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/106098399 and -127\/173615562?\nAnswer: 1909771182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61552009 + 1?\nAnswer: 6155200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*w = 3138 - 1158 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368929014?\nAnswer: 2, 3, 61488169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 919*m. Let j(c) = 42*c**2 - 2*c. Determine l(j(w)).\nAnswer: 38598*w**2 - 1838*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 2\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -1. Let y = 1 - q. Let j = -5.735 + 0.735. What is the nearest to -1\/2 in j, y, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 6. Let f(q) = 0*q**h + 0*q**2 - q**2. Let u(z) = -3*z**2 - 8*z**2 - 72 + 3*z**2 + 72. Give u(f(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((5994\/(-37))\/81)\/(1\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and 1\/(-7) + 11 + (-13253200)\/1221654.\nAnswer: 10266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/57 - 92\/627. Let n = -15 + 10. Which is the biggest value? (a) n (b) s (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w**2 - 551*w - 1604. Calculate z(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614662481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 656891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.44 + 24. Let f = z + 0.439998. Round f to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 182\/71 (b) -1\/5 (c) -2\/7 (d) -146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, g: 4, w: 2, u: 1, t: 2}. Give prob of picking 2 w and 1 t.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 16*z = -9. Solve z*t - 1 = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -8 + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 160549?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3b80 (base 14) to base 8\nAnswer: -24404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 736, 5876, 19826, 46990, 91772?\n\"Answer: 734*t**3 + t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -741, -796, -875, -978?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241094\/25 or -9645?\nAnswer: -9645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + -5*sqrt(80)*-1)*-6 + -2)*-2)**2.\nAnswer: -3840*sqrt(5) + 288064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 8125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10788249.\nAnswer: 3, 3596083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 6703 - 1734 = -44*k - 681 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.157419ml?\nAnswer: 0.002157419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n + 1\/20*n**6 - 2\/105*n**7 - 16*n**2 + 0*n**3 + 1\/24*n**4 + 0 + 1\/336*n**8 - 1\/15*n**5. Find g such that c(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 31737 - 31737.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Suppose -3*x + q + 1 + 3 = 0, q + 10 = 5*x. Suppose -3*f = x*z + 12, 4*z + 3*f = -2*f - 21. Is z != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + (4 - (-4 + 3)) - (-2 + 1 + 5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 20. Determine s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -428, -4, 1, 4 in descending order.\nAnswer: 5, 4, 1, -4, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397406 is divided by 19866?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 4 + sqrt(1377) + 1 - ((sqrt(136) - (sqrt(136) - sqrt(136)*2))*3)\/((-1*sqrt(8) - sqrt(8))*3))**2.\nAnswer: 800*sqrt(17) + 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 4*r + 2. Let p be h(4). What is the second derivative of 130*w**4 - p + 2 + 11*w - 133*w**4 wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217573 is divided by 4339.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*z + 3*z. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 5*t - 91 + 91.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42023712*r**6 + 41209771*r**2?\nAnswer: -5042845440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22967, -91880, -206751, -367592, -574415, -827232, -1126055, -1470896?\n\"Answer: -2*q**3 - 22967*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8419093289 and 13.\nAnswer: 8419093302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 286\nAnswer: 200.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from lwlowlwniqlil?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*m**3*q**3 - 171*m**2*q - m*q**3 wrt m?\nAnswer: -816*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:10 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 476.4211ml?\nAnswer: 0.4764211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-13 + 7 + 4). Suppose 10*h = -5*p + 6*h + 4756, -b*p + 2853 = 3*h. List the prime factors of p.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-495)\/88)*1\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = j - 34, -5*j + 75 = 5*t - 4*t. Suppose d = -5*o + 37, 3*d - 4*o - 154 = j. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -68, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4210689, 4210616, 4210543, 4210470, 4210397, 4210324?\nAnswer: 4210251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -65*y**3 - 6*y**2 - 6. Let i(q) = -194*q**3 - 17*q**2 - 17. What is 6*i(u) - 17*p(u)?\nAnswer: -59*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -41. Suppose -h + v*u + u + 11 = 0, 0 = 5*u + 10. Solve h*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/90)\/(4*3\/(-8))*495\/550\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6) - 4\/(-4). Let n = 23 - 20. Which is the biggest value? (a) -0.1 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 12*b - 15. Let i be y(-10). Suppose -5 = -i*v + 10. List the prime factors of 3*v + (7 - 6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a**3 - 32*a**3 + 10*a**3 + (-a**2 + 5*a**2 - 2*a**2)*(-2*a - 2*a + 2*a) + 18 - 18 - 2*a**3 + a**3 - a**3 + 2*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 25*b**5\/3 - 3523640*b**4\/3 + 11275080*b**3 - 84561920*b**2\/3 + 45099280*b\/3 + 11274880 = 0.\nAnswer: -2\/5, 2, 6, 140936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/120 + l**5\/30 - 7*l**3\/6 + l**2. Let a be r(5). Calculate the greatest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1821, -7298, -16425, -29202, -45629, -65706, -89433?\nAnswer: -116810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 206\/(-12) - 7\/21. Let s = -243\/14 - p. Let r = -12.1 + 12.3. Sort r, s, -1 in decreasing order.\nAnswer: r, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/110 - 488\/(-22). Solve -4*y = -h + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14 - 28 = -7 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/169038 and -67\/732.\nAnswer: 20622636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -391 + 615. What is the greatest common factor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*y**3 - 4662*y**2 + 8*y + 2072 = 0. What is y?\nAnswer: -259, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beej when four letters picked without replacement from jbebeejdbeebe.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*r + 11 = -91*r. Is r at most as big as -2\/459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92928590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135528156*t**2 - 585030681 with respect to t.\nAnswer: -271056312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8315 is divided by 189.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -26. Suppose 2*q + 2*q - v = 0. Suppose q*w + 57 = 189. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 599715.40256.\nAnswer: 599715.40256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337178 is divided by 1200.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, 981 in ascending order.\nAnswer: -5, -0.3, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*s, 34*x + s + 3 = 33*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6612 + 6614. Solve n*l = -5*j, -4*j + 15*l = 20*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (8 + 8 + -8 - 26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - 2795\/2580?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r = -72. Suppose 2*j - 4*j = -r. Solve 4*l - 2 = j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-2*q**3 - 3*q**3 + 4*q**3) + (-11*q - 45*q + 6*q)*(-8*q**2 + 4 - 4) to the form g*q**3 + d*q**2 + x + s*q and give g.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*r = -112*r - 20, 3*o + 28 = -5*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29741 divided by -2\nAnswer: 29741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {j: 2, p: 5, r: 8}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/(-144))\/((-15)\/6).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h. Let d = -2 + 5. What is b(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**2 - 91*s + 23. Calculate y(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b**8*b*(b**2)**25)**21 assuming b is positive.\nAnswer: b**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(400)\/sqrt(8)*3*-1)\/(-5*-2*sqrt(1210)*6).\nAnswer: sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {f: 1, a: 4, l: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202298 is divided by 1395?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6966 or 69657\/10?\nAnswer: 6966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-12)\/(-210))\/((-5)\/105).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*y + 5*x, 0 = 5*x - 96 + 76 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -25977114.\nAnswer: 25977114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 5, 8, 1, 4, 2.\nAnswer: 1, 2, 4, 5, 8, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*c - 125, -7*d = -3*d + 3*c - 79. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -35 (c) -4 (d) -13 (e) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6246.979 + 6250. Let t = -0.021 + l. Let d = -12 + 11. What is the second biggest value in -2\/9, d, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvhz when four letters picked without replacement from {v: 2, a: 1, i: 1, h: 1, l: 1, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -81.99. Sort s, 0, 1\/5 in increasing order.\nAnswer: s, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2697, -2, 3 in ascending order.\nAnswer: -2697, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - 4*x + 4*x)*(-25393 - 309*x + 50811 - 25582 - 2*x**2) as u*x**3 + q*x**2 + g*x + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/3)\/(((-324)\/(-12))\/(-9)))\/(34\/(-1190))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*6 + 4.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60121 - 1b2c?\nAnswer: -61c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52417 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 - -12?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-14)*j**(-23)*j**(2\/11)*j\/j**(-5) assuming j is positive.\nAnswer: j**(-339\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 67?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1190189116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 4 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/3 + 213*r**2\/2 + 2120*r - 800\/3 = 0 for r.\nAnswer: -40, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271806082?\nAnswer: 2, 103, 137, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*c + 0 + 1 - 1 in the form h + t*c and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y + 4 + 0*y**2 + 5*y**2 + 0*y + y**3. Suppose 2 = -3*a + 4*b - 3, -5*a - b = 16. Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12632060 divided by -92?\nAnswer: 137305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -56, -74, -92?\n\"Answer: -18*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 f when four letters picked without replacement from {k: 1, w: 1, g: 6, f: 3, h: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104)*-1 + 1*(sqrt(104) + sqrt(104)*-1))\/(sqrt(288)*2 + sqrt(8) - sqrt(40)\/sqrt(125)))**2.\nAnswer: 325\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54829 is divided by 18219.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v - 3*z - 4, -9 = -v - 4*z. Let h be v*(5\/3 - -1). Is (-2)\/3*444\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - n = 5, -3*n - 2*n = -4*h + 7. Let g be 6*h\/9 - 0. Solve 0 = 2*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -31*n + 4. Let q(b) = -36139*b. What is q(j(k))?\nAnswer: 1120309*k - 144556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*k + 1170 = -314*k + 168*k for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 16. Suppose -2*x + 5*x = 0. Solve x = 2*o - 0*o - w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a (base 13) in base 8?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 12*o**3 - 5*o + 5*o - 4*o**3 - 1795003*o**2 + 1795003*o**2.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*r - 4, 3*r + 0 = 2*q + 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - f - 38 + 6.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/(-14))\/(50\/14)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5853880 divided by 10.\nAnswer: -585388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/6373 - -18931\/599062. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*a. Suppose a*i - 390 = 7*i. Let r = i - -129. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/172*4\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 861854 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose 3*t - 354 = -d*v, 327 = 4*t - t - 5*v. Suppose -q = p - t, q - 334 = -3*p - 0*q. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5403 + -0.6403. Which is the third biggest value? (a) f (b) 547 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35674836 is divided by 1001.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 - 1) - ((-51 - -18) + -18).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -138. What is the units digit of 470*(-6 + 5)\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:31 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -23*u + 87*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149523791 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 o when four letters picked without replacement from {a: 1, o: 4, g: 1, z: 4, n: 4, r: 1}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4597, 9185, 13773, 18361?\nAnswer: 22949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s - 39*s + 43*s in the form i*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxh when three letters picked without replacement from xuxgxhuppu.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -49*x**6\/72 - 77*x**5\/60 - 2*x**4\/3 - x**3\/9 + 91. Factor k(p).\nAnswer: -p**2*(p + 1)*(7*p + 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -3, 5*g - m + 492 = 0. Let r be 1 + -2 + (-2 - 145). Let v = g - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 22. Let g(u) be the third derivative of 11*u**5\/30 - 4204*u**2. Calculate g(a(y)).\nAnswer: 22*y**4 + 968*y**2 + 10648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5326.\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w = -201*w + 509 + 475 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367820.64 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 9*g + 13. Let t(h) = 21*h**2 - 45*h + 65. Let s(r) = 11*n(r) - 2*t(r). What is the units digit of s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342645503 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/12*2\/(-22). Let x = 36565\/17 + -2151. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13279 or -13338?\nAnswer: -13338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17*652*1 + 2. Let t be m\/12 + (0 - -2). Let u = 916 - t. What is the common denominator of u and -20\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 + 6*s + 2. Let t(o) = o**2 - 4*o - 7. Let d be t(6). What are the prime factors of h(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 - 18c8?\nAnswer: -195e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 6. Let y be o(-3). Suppose y = 2*n - 1 - 3. Suppose n*f - 100 = -0*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(33)*1)\/(sqrt(11) - sqrt(11)*1*-2).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 0*x - 3*x. Let n(p) be the first derivative of p**4\/12 - p**2\/2 + 2. Let h(g) be the second derivative of n(g). Calculate a(h(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.443854 decades in years?\nAnswer: 44.43854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 50?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from jijsssjjjjpjjnjsxjs?\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*h + 135, -5*i - 3*h + 163 = 32. What is the greatest common divisor of 175 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 164 in ascending order.\nAnswer: -7, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 58*h + 1. What is the remainder when 90 is divided by l(-19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*z**2 + 2*z + 32 wrt z.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98*((-1)\/(-4) - 49\/28). Let z = -143 - o. Solve -z*i - 2 = -n - 5, 5*i = 5*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:22 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71075408303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8*(0 + 8). Suppose 0*h + 392 = -f*h. What is h rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3640054 (base 7) to base 10.\nAnswer: 463432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 218. Let g = 16 - q. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 12*a**2 - 12*a - 9. Let m be t(-11). Determine d so that 2\/5*d + 2\/5*d**m + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/16 of a hour?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -9, 0 in increasing order.\nAnswer: -9, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 148.02?\nAnswer: 148.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y. Let o be b(-2). Let k(z) be the first derivative of 27 + 4*z - 2*z**3 + 3\/2*z**2 - 1\/4*z**4. What is k(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kml when three letters picked without replacement from {k: 3, l: 1, m: 2, i: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 192 = 5*r. Let x be r\/(-15) - (-4)\/10. Factor 20\/3*u**3 + 20\/3*u**2 + 2\/3 + 10\/3*u**4 + x*u + 2\/3*u**5.\nAnswer: 2*(u + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2615*u**2 + 144 + 186 + 146 - 623 + 2623*u**2 + 147.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 54 = -4*u. Let w = u - -79. Solve -3*x = -8*x - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -97\/3, 4, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 21\/10?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 270, 669, 1066, 1461?\n\"Answer: -c**2 + 402*c - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 6*c + 4. Let j be s(6). Let r(a) = 5*a - 17. Let v be r(j). What is x in 0*x**v - 2\/3*x**4 + 0 + 0*x + 0*x**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 118.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let r(b) be the second derivative of -3*b**3\/2 - 17*b**2\/2 - 74*b - 1. Calculate r(x(f)).\nAnswer: -9*f**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 14. Let n be a(-16). Let i = -94 + n. Solve -2*r + i*r + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14415, -28821, -43227, -57633, -72039?\n\"Answer: -14406*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173332*i + 119833 with respect to i.\nAnswer: 173332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 782*q**2 + 10*q - 10. Let n(x) = 261*x**2 + 3*x - 3. Give -3*g(u) + 10*n(u).\nAnswer: 264*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60 (b) 15\/43 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -21*b**2 - b - 5. Let x(y) = -1. What is t(r) - 4*x(r)?\nAnswer: -21*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28221 - 14785. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*n + 592 - 152*n + 573 + 617 - 2376 + 594.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19940 + 74023. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, -1.3, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*z = 2*u - 61, -57 = -5*u + 3*z. Let w = -23 - -23. Let x = 2 + w. Calculate the least common multiple of x and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2406988?\nAnswer: 12034940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -14*k**2 - 5*k - 3. Determine u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Suppose 3*v = -57 + 12. Calculate the smallest common multiple of p and 40\/v*(-15)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 115325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 3. Suppose -2*w = -o - 8. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74520.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219572078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:50 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsx when three letters picked without replacement from swsxwssssswssw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 406296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8b1 (base 12) to base 4\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.818 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-91)\/(-26))\/(1\/16) is divided by (-21)\/(-9)*(-405)\/(-126)*(-32)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 246*d - 3*d**4 - d**4 - 2192*d**3 - 1 - d**5 + 2192*d**3 - 3*d**5 wrt d?\nAnswer: -80*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m = 1179 + 572 + 543 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-9)*-3*-3. Find the common denominator of 371\/h + 6\/(-15) and -31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 = -3*r, 0 + 20 = -4*r. Let u = 44 - 54. Let j be (-23)\/(-7) - u\/(-35). Solve s*l - j = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/10))**(2\/57) assuming s is positive.\nAnswer: s**(-1\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/(-15))\/10)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b + 19. Give j(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/3 (c) -6 (d) 1\/337 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.17 and -32\/713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 69*o**2 - 12*o - 106. List the prime factors of y(-8).\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15) - 5\/30*-40\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - ((sqrt(68) - sqrt(68)*-2) + sqrt(68) + sqrt(68))*-2)\/(-2*sqrt(144) + sqrt(144) - sqrt(144)).\nAnswer: -11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3268 + 366?\nAnswer: -2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -414.09 - -416. Let h = d + 0.09. What is the biggest value in h, -2, -16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 220 - 349 + 6*o**2 + 57 + 9.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3073984 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3286*q + 13153 = -3294*q + 43809. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06097 less than 297086531?\nAnswer: 297086530.93903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2114 = -5*z + 2126, 2544 = 3*z + 2*h. Suppose 4*r + 244 - z = 0. What are the prime factors of r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -740 + 442. Let i = 297.999999811 + d. Round i to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38454915 and 0.4.\nAnswer: -38454914.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30058 and 1.59.\nAnswer: -47792.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154925419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/5)\/(1*(-4)\/(-10)). Suppose 17 = -4*b + m*b - q, -2*q + 6 = -b. What is the remainder when (-804)\/b*(-4)\/(-6) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 12. Suppose n*w = 3*w + 4. Suppose -w*d + 0*q = 2*q - 698, 365 = d - 3*q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 3 - (2 + -2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3591601 is divided by 3973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) -396 (c) -5 (d) -4183 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2 - 3*h - 5. Let n be j(5). Let g(p) = p. Let x be g(n). What is the first derivative of 4 - x + 2 + 2*d**2 wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21412 - -10?\nAnswer: 21422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (-5 + 2 + 0)*(-1 - 3 + 2) + 3 + 1 - 3 + (-3 + 1 + 3)*(2 + 0 - 3))*(-114*o**5 + 57*o**5 + 63*o**5).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13153137 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -117*f**2. Let c(z) = z. Give c(v(j)).\nAnswer: -117*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3644526?\nAnswer: 3644524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/3013, -0.2, -0.04, -0.3, -5\/2, 1\/8?\nAnswer: 3\/3013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 145.04?\nAnswer: -145.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*v**2 - 4161 + 19793*v**3 + 19655*v**3 - 39700*v**3 wrt v?\nAnswer: -756*v**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 409981.\nAnswer: 4\/409981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*u + 43512 = 3679*u - 19020 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upegup. What is prob of picking 1 u, 1 e, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 16880000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 11*b**3\/3 - 15*b**2 + 16*b - 769. What is the first derivative of s(m) wrt m?\nAnswer: 22*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t - 291. Let l be g(-8). Let i(f) = f - 14. What is i(l)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 54844.\nAnswer: 274220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 46)\/(20\/120 + -1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707354386*x**3 + 9403969*x?\nAnswer: 4244126316*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*a + 6 + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334.8796 + 335. Let h = -0.0204 + v. Let t = 3 - 3.04. What is the nearest to 0 in 0.2, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - v + 360, 5*d + 0*d - 3*v - 380 = 0. Suppose 11 = 6*l - d. Suppose -644 = -l*j + 7*j. Calculate the remainder when j is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -301105 - -301104. Let f = 0.3 + -0.4. Which is the nearest to f? (a) 5 (b) -36 (c) -1\/6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 202743195 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*v - 53, -25*m = 5*v - 40602 + 40357 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46330*g**6 + 42283*g**2 wrt g.\nAnswer: -5559600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f**2 + f + 0 + 23*f**2 + 0*f + 1 as x*f + j*f**2 + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/(v*v*v**(-2)))**(2\/3)\/(v\/v**4*v**2\/v*v*v\/v**(3\/8)*v*v*v**1) assuming v is positive.\nAnswer: v**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y + 62*y**2 + 55*y**2 - 28*y + 7*y**2 - 139*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*i = 5, 5*i + 1523 - 676 - 742 = 9*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 457\/6, 5, 73, -0.3, -4 in decreasing order.\nAnswer: 457\/6, 73, 5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*b + 6210318 = 2824175 - 3898323. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 548*m + 3503. Give a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 - -0.63. Let u = -2 + 4.3. Let z = c + u. Sort 0.3, z, 1\/7.\nAnswer: 1\/7, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/85 - (-2)\/5. Let z = -12\/8491 - -25521\/33964. Which is the third smallest value? (a) -2\/19 (b) 0 (c) t (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -536, -1811, -4294, -8387?\n\"Answer: -67*v**3 - v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 9*p - 12*p. Suppose -p*q + 5*a + 52 = 0, 2*a - 27 = -q - 28. Solve d + q = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228827589 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-156)\/(-273) + -6 + (-519)\/(-84). Suppose 0 + 3\/4*h**3 - t*h**2 + 0*h = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4185\/558)\/(-1*3)*3*2\/(-780).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 26*x**3 - 3*x**2 - 3*x. Let q(v) = -v**3 + v**2 + v. Calculate -2*l(d) - 6*q(d).\nAnswer: -46*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61082 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 138?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aapan. What is prob of sequence naaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12)\/a*a**(2\/37))\/(a**(1\/8)\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-2483\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -33, -2\/123 in ascending order.\nAnswer: -33, -1\/2, -2\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341792*y + 2712354*y - 1370558*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 224414713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5136 and 2.\nAnswer: 10272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-209)\/(-55).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73530000 to the nearest 1000000.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:25 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(312))\/(sqrt(48)*-3 + sqrt(12)))\/((sqrt(96)\/(sqrt(18)\/sqrt(3)))\/(-3*sqrt(72))) + 4.\nAnswer: 4 + 36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:54 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 12. Let r be d(-12). Let w = 122 - 119. Solve r*h = h + w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2067.2 and -0.05.\nAnswer: 103.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7366 + 7720. What is the greatest common divisor of n and 6844?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16, -27, -36, -43, -48?\n\"Answer: f**2 - 14*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -273*z + 58. Let f be c(-6). Suppose 2*x - 1057 = -t - 360, 3*x - 6 = 0. Let o = f - t. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + j - j**2 - 2 - 2*j**2 + 2 + (-5 + 5 + 2*j**2)*(-3 + 0 + 2) + 1329*j**2 - 844*j**2 + 1731*j**2 + 1787*j**2.\nAnswer: 3998*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3830628426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65494*j**2 + 65494*j**2 - 11*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 15*j - 790. Suppose j + 28 = 2*q. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6779276, -6779287, -6779298, -6779309, -6779320, -6779331?\nAnswer: -6779342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/2)\/p))**(-29\/4)*(p*p**(-1\/3))\/(p\/p**5)*((p**(-2\/3))**(-14\/5))**(6\/11) assuming p is positive.\nAnswer: p**(-16421\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581860009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26245992.\nAnswer: 2, 3, 19, 57557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229 - 228.9999823. Round m to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(18)*-5)\/sqrt(6) + 1 - (sqrt(30)\/(-5*sqrt(10)*-5)*-6)**2)*-1.\nAnswer: -2392\/625 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 949*i**3 + 85*i**2 - 87*i + 1. Determine v(1).\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1524*c**4 - 4*c - 27931.\nAnswer: 6096*c**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(45\/2)\/3)\/9.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74387183?\nAnswer: 13, 263, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose -67 = -5*y + 13. Let j be (y\/(-60))\/(4\/6). Put 3, j, a in increasing order.\nAnswer: j, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 19, 5, 9, 0.2, -11.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25201934, 100807700, 226817310, 403230764, 630048062?\n\"Answer: 25201922*d**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -155.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447065 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397 + -388. Let a be 21\/o - (-17 - -20). What is the second smallest value in 2, -127, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766 = 248*z + 8470 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6096 and 889.\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 5*p**3 - 6*p**3 + p**3 - p**3 + 2*p**3 + (3 - 4 + 0)*(0 - 2*p**3 + 0) + 0*p**2 + p**3 + 0*p**2 as c*p**3 + y*p**2 + k + f*p and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 68 times -0.67\nAnswer: -45.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m - 2*m)*(-3*m**2 - 3*m**2 + 4*m**2) - 5*m**3 - 11*m**3 + 4*m**3 + (3 + 2 - 3)*(-3*m + 3*m + 2*m**3) + 9*m**2 + m**3 - 9*m**2.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 2, j: 2, d: 1, o: 8}. Give prob of sequence tqdo.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6856422*j**5 + 3*j**4 + 3*j**3 + 519372766*j**2 wrt j.\nAnswer: -411385320*j**2 + 72*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118368?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 64, 2\/279, 4, -1.8 in decreasing order.\nAnswer: 64, 4, 0.4, 2\/279, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**3*a)\/a*a)\/a)\/((a*a**(-6)*a)\/a))\/(a**(-3\/8)*a**(-4\/5))*a**(-2\/11)\/((a\/((a\/(a**(-4)\/a*a))\/a))\/a)*a**(-6)*a*a**(-3)\/a*a assuming a is positive.\nAnswer: a**(2197\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzdtddgigidzzgu. What is prob of sequence idz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (26 - 30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -35. Let a = 5 - -1. Let j = n - a. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 10. Let m be w(-8). Factor -2*v - 5*v**3 + 4*v**3 - v**2 + m*v**3.\nAnswer: v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-6)*190\/(-209)*-11\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:50 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a92f + 25?\nAnswer: 1a954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153945 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2309302*x**2 - 675415 wrt x.\nAnswer: -4618604*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*v + 0 - 1\/12*v**3 + 1\/12*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104494159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7037.8 and -0.3?\nAnswer: -2111.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-560))\/((-32)\/20).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 68914 = k + 1531084, -2*m + 5*k - 3200010 = 0. What is m rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-472)\/(-413)*3\/2*(-4)\/(-12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1576, 1490, 1342, 1132, 860, 526?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -170*w**2 + 15*w - 2. Let s be t(2). Let r = s - -657. Let i(q) = -7 + 1 + 2 + 6*q - q**2. What is i(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*q = 2*k, 4*k - 5*q = 0. Suppose -4*z + z + 12 = k. Suppose h - 5*a = 4*h - 19, -z*a - 4 = 0. Calculate the lowest common multiple of h and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkvvvmmklvlvkokkv. Give prob of sequence vm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s + 1\/3*s**2 + 0.\nAnswer: s*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 30. Let a(q) be the first derivative of -4 + 0*q**2 + 1\/6*q**v + 1\/2*q**4 + 0*q**3 + 0*q - 3\/5*q**5. Factor a(d).\nAnswer: d**3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57335.2318995 + -13455.938097. Let z = i + 70791. Let j = z + 0.17. What is j rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-8)\/(48\/18). Solve -b*j = -20, 3*t = -0*t - j + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*q = 8, w = 2*w - 5*q + 22. Let p be (w\/(-24))\/(3\/(-4)). Which is the second smallest value? (a) p (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1651542 and 4908.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 3*x - 14. Let u be 21 - 20 - (-1 - x). Let y(b) = 17*b**2 - 9*b + 9. Is 31 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-4))**(2\/49))**43 assuming n is positive.\nAnswer: n**(430\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -477 + 44?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - 36. Let q(u) = -u**3 - 4. Let r(l) = -2*l**3 - 3*l - 6. Let s(g) = -6*g**3 - 8*g - 17. Let f(o) = 8*r(o) - 3*s(o). What is t*f(y) + 3*q(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11d6ec (base 16) to base 13\nAnswer: -31c1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21173, -26426, -31689, -36968, -42269, -47598?\nAnswer: -52961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 1566?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let m(d) be the first derivative of d**3\/2 - 3*d + 6. Let h(x) be the first derivative of m(x). Give k(h(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/5 (b) -7 (c) -3\/4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 773*o**6\/30 + 63*o**4\/4 - 2*o**3\/3 + 2992*o**2. What is the second derivative of g(s) wrt s?\nAnswer: 18552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*g**2*x**3 + 419342*g**2*x**2 + 343694*g*x**5 - 14 wrt x.\nAnswer: 252*g**2 + 20621640*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 6, e: 4, s: 3, l: 1}. Give prob of picking 3 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by 140.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 5*g. Suppose 0 = g*d - 7 - 1. Suppose -d*a + 45 = 3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k. Let x(p) = 1006*p**2. Determine n(x(v)).\nAnswer: -6036*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -655, -653, -651, -649, -647?\n\"Answer: 2*l - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.7. Let k(j) be the first derivative of j**4\/4 + 10*j**3\/3 + 3*j - 4. Let n be k(-10). Which is the smallest value? (a) n (b) h (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34458*h - 20*h**3 + 34458*h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 601381\nAnswer: -601381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2))\/((((n\/((n**(-2\/15)\/n)\/n))\/n)\/n)\/n)*(n\/n**12)\/(n*n**(1\/5)*n) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202061296903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:45 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351304 is divided by 1756.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 2*p - 2*p + (p + 3*p - 5*p)*(275*p + 12*p**2 - 275*p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5427*a**3*l*x**2 - a**3*x**2 + a**2*l - 72*a - 7*l*x**2 wrt a.\nAnswer: 32562*l*x**2 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let a be ((-3)\/j)\/(2\/10). Suppose -a*o = -5*q - 25, 4*o - q = o + 23. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*o + 10 + 4, -2*r + 4*o - 18 = 0. Let v(h) = 4*h + 1. Let b(y) = 5*y + 1. Let u(g) = -3*b(g) + 4*v(g). What is u(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798521?\nAnswer: 798521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:30 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*sqrt(608)\/sqrt(2).\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 0*a + 3*a)*(5 + 0 - 4) - 14*a + 70*a + 33*a)*(-a**2 + 2*a**3 + a**2).\nAnswer: 182*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (33\/(-6))\/((-17)\/6018)?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42991 and -676.\nAnswer: 290.61916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3630*k + 2 + 3630*k - 4 + 6 - 13*k**3.\nAnswer: -13*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 2\/3, 4\/75 in descending order.\nAnswer: 2\/3, 4\/75, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2029*o**3 + 2*o**2 + 16*o - 29. Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3\/5 (b) 3\/2 (c) -14\/5 (d) -1 (e) -18\/7 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2546)\/(-19) + -3*2)*(-284)\/(-4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p - 9 + 9)*(-2 + p - 2*p - p) + (3*p**2 - 6*p**2 + 5*p**2)*(14 + 19 + 13).\nAnswer: 72*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 8:18 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 + 4*m**2 + 106. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/12 - 25*a**3\/6 - 5*a**2 - 3. Calculate c(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000 divided by -4400?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -26. Calculate the remainder when n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406816 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -461, -570, -785, -1142?\nAnswer: -1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/55 in 0.251, -5, 115?\nAnswer: 0.251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/212820 and -67\/21282.\nAnswer: 212820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 + o**2 + 2. Let h be m(-2). Suppose 5*p + 10 = h. Let w be (p\/(-6))\/(1\/(-3)). Solve -2 = r + w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4352156 divided by -331.\nAnswer: 4352156\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 134, 303, 534, 827, 1182?\n\"Answer: 31*n**2 + 14*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -45*w**3 - 845*w + 5\/4*w**4 + 975\/2*w**2 - 50. Factor r(d).\nAnswer: 5*(d - 13)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 60*m - 173. Determine y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 2\/29 (c) -5 (d) 1 (e) 3\/2 (f) -27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i**2 + 17*i**2 + 40*i**2 + 80*i**2.\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2\/7 (c) 0.036 (d) -2 (e) 2\/9 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 756*c**3*l**3 + 2*c**3*l**2 + 214*c**3 + 4*c*l - 2*l**3 wrt l?\nAnswer: 4536*c**3*l + 4*c**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -20*t + 880. Let u = t - 79. Sort u, -4, 5, 0.\nAnswer: -4, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb84 - -39?\nAnswer: -bb47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from bxxfffffhx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31719 smaller than -31718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/69 (b) 14 (c) -3\/5 (d) -3\/110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 13. Let w be (-5)\/h + (-1)\/(-3). Suppose 3*z - 4*o = 12, w*z - 3*o = -z + 4. Solve -18 = -3*s - z*d, -2*d = s + 2 - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390870719.\nAnswer: 19, 6581, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1267972 or -1267846?\nAnswer: -1267972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.807 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, y: 1, q: 6, w: 3, d: 6}. What is prob of picking 2 d and 1 q?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*l = -331*l + 530*l - 1410 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 5*z**2 + 3*z**2)*(-4 + 0 + 2) + (0*z**2 + 3*z**2 + 0*z**2)*(-5 + 3 + 1).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3909 at most as big as -3713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14201280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -9?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -67. Suppose 0 = -2*y + i + 17, r*y - 2*i = -i + 35. Solve y = -3*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.63 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = -2*z, 0*y = -5*y. Let n = 16180\/7 + -2318. Find the common denominator of z\/75*-5*26 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 1, 31, -37?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28174*v - 14094*v - 14079*v + 126*v**3.\nAnswer: 126*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181144 is divided by 25851.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 14*q + 178927. Is o(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u. Let m(d) = 0 - 1 + 7 - 4*d**3 + 5*d**3. Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 19683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -648, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 9003 = 11*z. Let a = 4838 - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*i**4 + 5*i**3 - 458*i**2 wrt i.\nAnswer: 216*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148257350\/9 or -16473040?\nAnswer: -16473040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5. Suppose 2 = 2*u + 4*v, 0*v = -v. Let t be 0\/(u - (2 + -3)). Let f be d(t). Solve -f = w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428046713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*j - 0*j. Suppose -16 - 596 = -6*b. Calculate the remainder when b is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n, -15*n - 2420 = -5*z - 20*n. What is the remainder when z is divided by 81?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 77*s**4\/4 + 20*s**3 + 33. What is the third derivative of a(w) wrt w?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 2:03 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5746 and 7514?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 3, y: 4, r: 2, h: 2}. What is prob of sequence yhrh?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -275. Let i = 544 - z. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/476 + 14401\/17. Suppose 2*b + 179 = o. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o**2 + 15*o + o**2 - 12*o - o + 17*o**2 as d + c*o + r*o**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 32*b**3 - 169*b**2 - 179*b + 900. Let p(a) = 5*a**3 - 28*a**2 - 30*a + 149. Let t(c) = 13*p(c) - 2*q(c). What is t(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 6 - 7) + 12. Suppose 5*k + 6 = 21. Solve -k*y - q = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let r = -63 - -66. Let m(a) be the second derivative of 0 + 0*a**3 + 0*a**2 + 1\/4*a**4 + r*a. What is b(m(p))?\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(8 + -12)*(-3 + 10\/3). Let i(l) = -l - 1. Let t(n) = -n + 1. What is p*t(f) + i(f)?\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3*k - 110*g**3 + 5772*g**2*k + 2569*g**2 - 68*g*k - 3*g + 2 wrt k?\nAnswer: -g**3 + 5772*g**2 - 68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 2)*(5*o - o**5 - 4*o - 7*o).\nAnswer: -10*o**5 - 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5 - 2)\/(26\/5 - 16296\/(-6790))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -5 (b) -2\/11 (c) 68068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, f: 3, w: 1}. What is prob of picking 1 n and 3 f?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 442 - 692 = 0 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28625 and 1374.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0390287854 to 6 decimal places.\nAnswer: 0.039029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x + 7*x + 3*x + 15*x + 2*x**2 + 18*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18*-4418\nAnswer: 79524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 9*v**2 - 26*v**3 - 23*v**3 - 31*v**4 - 7*v**2 + 46*v**3 + 24 to j*v**3 + a + x*v**4 + k*v**2 + z*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12425, 12548, 12671, 12794, 12917?\nAnswer: 13040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591807105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4007.6.\nAnswer: 400.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 864 divided by 16\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -222\nAnswer: -10\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 0 + 104*q**2 - 102*q**2 - 1. Let z(f) = 120*f**2 - 72. Let r(w) = 72*d(w) - z(w). Let v(t) = 6*t**2. Calculate -2*r(m) + 9*v(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 289*r - 1. Let g(c) = 30366*c. Give g(x(s)).\nAnswer: 8775774*s - 30366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1202, 1206, 1212, 1220?\n\"Answer: w**2 + w + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -3 + 3 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78165821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18288*l = -18292*l + 36, -4*f - 5*l = -57 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/11 in 4, -0.5, 1.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -370.9 + 371. What is the closest to -0.1 in 1\/6, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -49, -77, -113, -163?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmenegnmnenznc. Give prob of sequence eeem.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 6 + 10\/6 + 76 + -83. Factor v*d**2 - 50 + 2\/3*d**3 - 10\/3*d.\nAnswer: 2*(d - 3)*(d + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let d be ((-3)\/9)\/(x\/12). Let r be 1 - 1 - 1\/d. Sort r, 5, 0.2 in decreasing order.\nAnswer: 5, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -16. Let y = i - 5. Suppose 3*j - y = 26. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 20*f = 99. Suppose -3*a + 4 = -2. Suppose a*w = w + f. Solve -3*h + 0*h = -w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n - 4*k, 25 = -2*n - n + k. Let d be n + 492 + (-45)\/(-9). Calculate the greatest common factor of d and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2556 and 65\/284?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, x: 1, c: 1, h: 1, w: 1}. Give prob of sequence hxwh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, x: 5, k: 7}. What is prob of picking 1 k and 3 t?\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 41743*l**2 - 292203*l + 9. Calculate u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9368833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8527*g - 182. Is c(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 - 8*r - 181. Let c(z) = -4*z. Determine s(c(t)).\nAnswer: -128*t**2 + 32*t - 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + d - d + (-7*d**3 + 11*d**3 + 6*d**3)*(-2 + 2 - 2) + d**3 - 2*d**3 - d**3 to h*d**2 + m + t*d**3 + a*d and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/2019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 7:01 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + (-128)\/(-6). Suppose 5*m - 3*m - 14 = -2*z, 0 = 4*z - 8. Solve 0 = -3*t - 3*h + 6, -2*h - y = 2*t - m*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 2.2 (c) 2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8)*(-4)\/(-6). Let o = -3.18 + 4.18. Put o, -4, r in increasing order.\nAnswer: -4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3*t**2 - 2*t. Suppose -1 - 5 = 3*u. List the prime factors of s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 438256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 62. Let s(l) be the second derivative of -1\/3*l**3 - 1\/12*l**t + 4*l - 1\/2*l**2 + 0. Let s(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-8))\/((-14)\/56). Which is the nearest to 0? (a) -0.3 (b) 1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724169 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 515564 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 16*g**2 + 18*g - 26. Let h be j(7). Which is the closest to 6.5? (a) 3 (b) h (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9198 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {j: 2, o: 2, p: 2, g: 1, f: 4, n: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 6, 319841 in ascending order.\nAnswer: -23, 6, 319841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -199*t - 41*t - 4670 + 1295 - 4545 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12548484 to the nearest integer?\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*l + 456*l - 430*l**3 - 853*l + l**2 - 3*l**2.\nAnswer: -430*l**3 - 2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.10647 - 0.5\nAnswer: 0.60647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19917, 19982, 20035, 20070, 20081, 20062, 20007, 19910?\nAnswer: 19765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 - -132022021?\nAnswer: 132022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 0*y**4 + y**4 + 8*y**4 - 408*y**2 + 408*y**2 + (-2 + 2 + 1)*(-3*y**4 + 0*y**4 + 2*y**4).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11869 - 11724. Solve 0 = 10*s + 19*s - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23735 or -23736?\nAnswer: -23735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3766 * -0.1.\nAnswer: -376.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*z**3 - 2448*z**2 - 25665*z - 42050.\nAnswer: -(z + 2)*(8*z + 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5438 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -3) + (-76)\/(-18). Let h be (-32)\/(-14) - (-14 - 400\/(-28)). Which is greater: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o - 52*o = -72. Suppose -3*x - x + 28 = 0. What is the lowest common multiple of o and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10159, -40740, -91717, -163096, -254883?\n\"Answer: -u**3 - 10192*u**2 + 2*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196.9 - -197. What is the smallest value in h, 4\/5, -0.06, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 6*i - 3*x, -i - x = 2. Solve 10 = -i*k, 5*k - k + 28 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 + 84 + 7*t - 27*t**3 + 85 - 252 as s*t**3 + d*t**2 + a + z*t and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -1 + (-656)\/8. Let o = 233 + s. Suppose 8*q = 1397 + o. List the prime factors of q.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*((sqrt(891) - ((sqrt(891) + -3 - sqrt(891)) + sqrt(891)))*3)**2*-6)*-1*-2.\nAnswer: -4850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91\/114 + 12\/19. Let n = l - -5\/12. Suppose -1\/4*p**2 + n + 0*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + 2*l + 1. Let c(a) = 41*a**2 + 11*a + 6. Let d(r) = -2*c(r) + 11*v(r). Let k be d(1). Factor s**2 - s**4 - s**k - 1 + s**3 + 1.\nAnswer: -s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-5)\/2)*(-11)\/(-110)*-25. Which is the second smallest value? (a) -4 (b) k (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -72. Let h be (21 - y)*(-148 + 2). What is h rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20223345 - 403?\nAnswer: 20222542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiinni. Give prob of picking 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41147795 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: What are the prime factors of 174495153?\nAnswer: 3, 7, 8309293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (0 + (-20)\/5). Let w be ((-1)\/(-39))\/(j\/(-27)). Which is the second biggest value? (a) w (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 802*x - x**2 + 14 + 3*x**3 + 3 + 878*x - 17 to the form o*x + q*x**2 + j*x**3 + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -264, -2298, -7814, -18552, -36252?\n\"Answer: -290*z**3 - z**2 - z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r - 72*r - 1197 = -96*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231127 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 338076483 a multiple of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6044759 (base 11) to base 8.\nAnswer: 50627025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b + 9. Let f(w) = -25*w**2 + 24*w + 7. Let d be f(1). Let y(c) = 11*c + 10. Determine d*x(o) - 5*y(o).\nAnswer: 5*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 23, -8, 5 in decreasing order.\nAnswer: 23, 9, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knw when three letters picked without replacement from unkurrwk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 6021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*h - 630 = 0, -3*j - 2*j - 2*h + 630 = 0. Let x(y) = y**2 - 142*y + 830. Let w be x(6). Calculate the greatest common divisor of w and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1300 divided by 48\nAnswer: 325\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 11*i**2)*(-i + i + i**2)*(-1 - 35 - 20 + (0 - 2 + 4)*(-1 + 1 + 2)).\nAnswer: 364*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.1 (c) -63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 116?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-328)*7\/2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 45*y + 60. What is the least common multiple of 49 and w(8)?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, -1.3, 15?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {t: 3, l: 2, k: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/96 and -83\/368?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127256963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 2\/9, 274?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = 16. List the prime factors of (0 + 2)*(a + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(4\/11))))\/x*x*x**(-2\/31)*x*x*x**(-4)*x**12*x assuming x is positive.\nAnswer: x**(4194\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x + 5*v, 0 = 2*v + 3*v + 5. Factor 0*z**4 + 0*z + 0*z**2 + 2\/11*z**3 - 2\/11*z**5 + x.\nAnswer: -2*z**3*(z - 1)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*t - 3 = 0, y + 1912*t - 1915*t = 5 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5041\/3990 - -17\/114. Find the common denominator of (-618)\/20*((-242)\/(-84) + -3) and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4356 + -4331. Solve -8*j + 33*j - d = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*s + 55*s + 12 + 6.\nAnswer: -s + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*a = 228*a + 1108. List the prime factors of a.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99787 and 14069967.\nAnswer: 14069967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 5*q**7\/252 + 149*q**6\/12 + 297*q**5\/8 + 2225*q**4\/72 - 20*q - 169. Find g such that u(g) = 0.\nAnswer: -445, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/600 + d**5\/100 + d**4\/40 - 5*d**3\/3 - 6. Let z(g) be the third derivative of m(g). Solve z(l) = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 times -0.54?\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/1 + -3 - 0\/1. Let r(h) = -3*h + 4*h + 10*h - 1. Does 25 divide r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**2 + 52*n - 20. What is the least common multiple of f(4) and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 4*x**2 + 2*x - 6. Let q be o(4). Suppose 4*d = -q + 258. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/351 and 45\/8?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzzmnmnznmmnzmznn. Give prob of sequence nz.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1\/4 (b) -2\/13 (c) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 19123.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from memmmeememmme.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (-12 - 4). Suppose -v - 21 = 3*k, -160*v = -3*k - 159*v + 3. Which is the second smallest value? (a) 5 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2037174 take away 0.4?\nAnswer: -2037174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/65 + 237\/455. Factor f*u**4 - 6\/7*u - 9\/7*u**2 + 0*u**3 + 0.\nAnswer: 3*u*(u - 2)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x + 6. Let u be b(7). Let n(q) be the second derivative of -q**5\/20 + 7*q**4\/12 + 5*q**3\/6 - q**2\/2 + 3*q. Is n(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 244 = 5*i - 248, 5*i + 12 = -3*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 32222012011?\nAnswer: -32222012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeznczdzdz. What is prob of picking 1 z and 1 c?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**3 + 2*f**3 + 2*f**2)*(-27*f**2 + 60*f**2 + 105*f**2).\nAnswer: 138*f**5 + 276*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 29*w. Let g(a) = -2*a + 46. Calculate l(g(z)).\nAnswer: -58*z + 1334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 2 + 2 + (37 - 3 + 41)*(-1 - 5 + 2)*(-3*s + 3*s + s) as o*s + x and give o.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*x = -247*x - 4*a - 4, 4*x + 4*a - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 799*c + 2384. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -40.9 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**4 - 2*h**3 + 2*h - 1. Let q(r) = -22*r**4 + 5*r**3 - 58*r**2 - 12*r + 6. Let z(a) = 6*m(a) + q(a). What is the third derivative of z(c) wrt c?\nAnswer: -384*c - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (22 - (1 - (-43 - -14)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 512\/33 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1195 (b) 1 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121212202 + 101?\nAnswer: -2121212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14887*i - 30781*i + i**2 + 2*i**2 + 14884*i + 1010*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -5\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 752160 - 9a?\nAnswer: 752082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x = 32, 5*w + 4*x = 39 + 23. Let d = -9 + w. Let n = d + 16. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0257263263 to six dps.\nAnswer: -0.025726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638925680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/7)\/(4\/14). Let t(r) = r**3 - 4*r**2 + 2*r + 3. Let j be t(3). Suppose j = 3*w + w - 32. Calculate the highest common factor of o and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 8 (b) 2\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41772*w**2 + 708*w - 3 = 0. Calculate w.\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*f - 3*f + 5*y, -4*f = 4*y. Suppose 3*b + 9 = 0, -b + 13 - f = k. Let m = 26 - -44. What is the greatest common divisor of k and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 108 + (-8)\/(-2). Let f(a) = a + 29. Let m be f(17). Calculate the greatest common factor of z and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -6. Suppose 0*x + 5*x = 5*r - 10, -c*x - 10 = -2*r. Is (0 - r)*62\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 9*u + 6. Let w be i(4). Let t = w + -2. Suppose t = -3*v - 6*v + 288. Round v to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.3. Let g = -0.1 + j. Let f = -0.5 - -0.4. What is the closest to -1 in g, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Let k(m) = 5 + 0*m**3 + 1 + 5*m + m**2 - 8*m**2 + m**3. Let x be k(z). Solve -3*u + 0*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-232)\/(-40) + -6)*-1*5. Which is greater: 2\/49 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1.03. Let v = 5755 + -5755. Let g = x - v. Round g to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 550*y**3 + 17*y - 37637 wrt y?\nAnswer: 1650*y**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose 5*h - 6 = j. Solve -4*q + h - 14 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(-8 + 8 - 5)*((1 + 0 + 1)*(-2 - 1 + 4) + 3 + 3 - 4 + 2 + 0 - 1 + 22 - 35 + 21 - 2 + 2 - 1 + (-3 + 3 + 1)*(-2 + 4 - 4))*(-2 + 2*c**5 + 2).\nAnswer: -300*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, 5 in increasing order.\nAnswer: -5, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8133 + 447246\/55. Calculate the common denominator of a and 1\/3 - (-2401)\/(-840).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.77 + 0.03. Let v = 0.799996 - u. What is v rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u + 128*u = 74*u. Solve 10*j - w = 35, -4*w - 14 - 6 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 164 + 206. Calculate the lowest common multiple of 213 and u.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 - 4. Let k be (4 - -2)*4*1\/8. Suppose -3*a = 5*p + 2, -4*p - 4 = -a - p. Let h(z) = 4 - a + 0*z + 0*z - 5*z**2. Give k*t(x) + 4*h(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -3) - (1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -19 + 17 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1907 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3, 16 = -2*l + i + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + q = 6 - 16, 0 = 4*v + q - 8. Find the first derivative of -5 - 3*y**4 + 6 - 3 + v wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p - 14437 - 139420 = 0. Calculate the lowest common multiple of p and 1182.\nAnswer: 13002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*t - 41, a = -2*a + 2*t + 15. Let s(r) = -4*r**2 + 160*r - 1266. What is the least common multiple of s(29) and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 89. Let h be 0\/2 + 30 + -4. Let v = 30 - h. Solve 5*x + 15 = -r*y, 2*x + 2*y = v*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/5))\/p*p*p**(1\/8)*(p\/p**(-10))\/(p\/(p*p**(-14))))**(-4\/19) assuming p is positive.\nAnswer: p**(83\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-72)\/(-60)*(-153)\/6. Calculate the highest common divisor of s and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3974 - 3381. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -70. Let l be ((-51)\/w + 2)*-7. Solve 0 = -l*f + 8*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81891 or -81935?\nAnswer: -81891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -3.08. Let r = w + 5.1. Let p = r + -0.1. What is the third smallest value in 1, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cep when three letters picked without replacement from {p: 5, c: 2, s: 8, e: 2, t: 1}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, t: 1, h: 1, f: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 229956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(165\/156) - (-8)\/4. Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or 16760?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1113 - 19\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -109462440 and -109462439 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/8741 (b) -1088 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - -2) + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10328115 and 12635?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 849\/4 + (-4)\/16. Let l be m\/44 - (-4)\/22. Solve -20 + 4 = -l*q - 2*z, -14 = -5*q - 3*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -205, -473, -859, -1369?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-10 + 286*q - 21 + 34).\nAnswer: 572*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 - 3 = -5*m, 5*m + 10 = -2*w. Suppose -5*d + 3*d = 6, 0 = -4*c + w*d + 223. Round c to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 - 7 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 257 = 5*l + 303, -2 = -2*b - 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -541946199, -541946198, -541946197, -541946196, -541946195?\n\"Answer: w - 541946200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24a67 + 7?\nAnswer: -24a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2. Let i(n) = -10*n**2 - 10. Let c(d) = -18*d**2 - 19. Let m(s) = 6*c(s) - 11*i(s). Give r(m(k)).\nAnswer: 16*k**4 - 64*k**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 - h**4\/4 + 5*h**3\/3 - 3*h**2. Let s be -4 - ((0 - -6) + -3). Let u be y(s). Put -3, u, -0.03 in increasing order.\nAnswer: -3, -0.03, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6703953*n + 1675990*n + 1675990*n + 1675989*n + 1675988*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 41. Let c = 108 - 59. Suppose -86*j + 85*j + c = 0. Calculate the remainder when j is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 2 x when four letters picked without replacement from {l: 2, d: 1, x: 5, o: 3, k: 8, n: 1}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -3 (c) 2\/51 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 - n - 2. Let f be q(-4). Let r = f - 32. Find the second derivative of -15*t - 7*t**3 + r*t**3 + 0*t**3 wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Let d = -581 - -647. Calculate the remainder when d is divided by (-6)\/(-9)*h - -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 2692*o**2 - 8100*o**2 + 2681*o**2 + 2676*o**2 - 4.\nAnswer: -51*o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 44 = -3*c + 6*s, 2*s - 37 = -3*c. Let h be (c\/(-5))\/(44\/(-20) - -2). Is 19 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 8 (b) 2.64294 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 61. Let f(h) = -1666*h - 66624. Let m be f(-40). What is the highest common factor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -513051, -513049, -513047, -513045, -513043?\n\"Answer: 2*r - 513053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -470, -465, -458, -449, -438, -425?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 10 = -5*j, -4*s - 10 = -2*j + s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -324*l**2 - 5*l + 370. Let s(c) = -161*c**2 - 2*c + 184. Let f(q) = 2*i(q) - 5*s(q). What is the derivative of f(n) wrt n?\nAnswer: 314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5498*j**4 + 3861*j**3 - 37056*j**2 - 53 wrt j?\nAnswer: -131952*j + 23166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155223776 divided by 4850743.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/105)*n)\/n)\/n*n**(-45)*(n\/n**(-6))**9 assuming n is positive.\nAnswer: n**(1997\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8095588632 and -5.59.\nAnswer: -8095588637.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 5\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/13580 and -43\/80640?\nAnswer: 7822080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 18 = 23. Let d(t) = -9*t**3 + 2*t**2 + 3*t + 2. Let p be d(y). Suppose -p*b = -b - 432. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**2 + 234*x - 384. Calculate b(24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1173375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1132442 - -265?\nAnswer: -1132144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1233 + 1023?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x**3 + 203*x**3 + 580*x**3.\nAnswer: 827*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -102, -42, 152, 516, 1086?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*j = 0, -3 = -4*j + 5*j. Suppose -2*t - 14 = 2*h, -h - 43 = v*t - 2*t. Let s = 25 + t. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 3*h**4 - 3*h**4 + h**3 - 18 + 18 - 10*h**4 + h**2 - h**2 + 2*h**4 + (-3*h**3 - h**4 + 3*h**3)*(2 + 3 - 3) + 0*h**4 - 2*h**4 + 0*h**4.\nAnswer: -15*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 146 + -38 + -24 - 104\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.23 + 36. Let m = 0.63 + q. Let z = 2.4 - m. Sort 0.1, -1\/10, z, -0.3 in increasing order.\nAnswer: z, -0.3, -1\/10, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21575 = 2008*g - 18585 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Let z be v(-8). Let o be (-3)\/z - (-7)\/28. Suppose -o = -h - 0. Calculate the lowest common multiple of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - -80 - (-2 - 2). Let u be (-586)\/(-2) + x\/13. Suppose -42 = -3*r + 48. What is the greatest common factor of r and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833473 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76315613.\nAnswer: 11, 67, 103549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3897, -3800, -3715, -3642?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**2 - 488*y**4 - 8*y**3 + 7277644 - 3*y**2 + 26*y + 147*y**4 - 7277744 wrt y.\nAnswer: -4092*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-22)*4\/3. Suppose 7*w - 6*w = i. Let x be w\/(-5) - (-42)\/5. Solve x = 7*c - 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*a - 7964 - 4546 + 2741 = 4007 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16280306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a - 63?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*s = -193*s + 136*s - 9600 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2384900 to the nearest ten thousand.\nAnswer: 2380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7639*m - 3822*m = 3868*m - 306 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 3. Let l be i(0). Let x = 40 - l. Let h = 75 - x. What is the least common multiple of 24 and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1944)*5)\/sqrt(8) + (sqrt(6) - (sqrt(6) + sqrt(216))*5)\/((sqrt(16)*2)\/sqrt(8) - sqrt(2)).\nAnswer: 3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -5*g. Suppose 0*d - 2*d = -4. What is the derivative of -d - x + x**g + x wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209591 times -4\nAnswer: -838364","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 = v + 11, -15 = -2*v - 3*t. Let g = v - 4. Let n(f) = -2*f. Let b be n(g). Solve 5 = b*s - m, 4*m - 15 = -m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(5 + (-6)\/1). Find the third derivative of -g**i + 2*g**2 - 81*g + 77*g + 16*g**4 - 4*g**2 wrt g.\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + (-19 - -7) - (-1222)\/(-52))*1\/160.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-50))\/(13944\/15). Is 0 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58545 divided by -15?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 69604.\nAnswer: 69606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245002591 divided by -3?\nAnswer: -245002591\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31788*v**3 - 2*v**2 + 676*v - 36637380 wrt v?\nAnswer: -95364*v**2 - 4*v + 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -71962, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 14.16?\nAnswer: 14.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -319. Let z = y - 116.5. Let k = 1 + 0. Which is the second smallest value? (a) z (b) k (c) -14 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1290133?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (((sqrt(1872)*-1 - sqrt(1872)) + -2)*5*5*1)**2).\nAnswer: -18729996 - 240000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14*z**3 - 23*z**2 + 3*z. Calculate the least common multiple of w(3) and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15\/4 (b) 0 (c) -9\/20 (d) -2 (e) 42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. What is the greatest common factor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1714 * 0.6.\nAnswer: -1028.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-3 - (-3 + -4). Suppose -5*x + c*j = 0, 4*x = -j + 5*j. Solve z - o + 2 = -x*o, -5*z = -3*o + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57292 rounded to two dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqgqgggqqqqgqgqgqq. Give prob of picking 3 q.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517400 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -44, 58, 252, 568, 1036, 1686?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(448)*5 + 3.\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1015 + 4120. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665103 (base 8) in base 14?\nAnswer: 2bd335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60780 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 1. Let m be j(1). Suppose m*w + 3 = w. Suppose t - 8 = -w*r + 22, 4*r - 59 = 5*t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (155\/4)\/31*294824. What is k rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257745 by -51549.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (4*sqrt(300)*-1 - ((sqrt(300) + 3*(sqrt(300) + 0) - sqrt(300))**2 - sqrt(300))) + -4 + (sqrt(300) - (-2 + sqrt(300) + -5))**2) + 4.\nAnswer: 90*sqrt(3) + 7978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**7\/21 + 199*p**5\/20 - 1793*p**3\/2 + 34*p + 97. What is the second derivative of k(s) wrt s?\nAnswer: -40*s**3 + 1194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(-2 + sqrt(343))*1)**2 - (-1*sqrt(343)*1 + (sqrt(343) + sqrt(343) + -4)**2*-3).\nAnswer: -721*sqrt(7) + 9701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = x - 4, -7*l + 5*x = -2*l - 10. Solve 3*g - l*g - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -26 + 5 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 11*a + 6. Let i be (-4)\/(-6)*12\/1. Let f be d(i). List the prime factors of (-3)\/f - (-339)\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -273*q + 3549. Let z be c(13). Let r(x) be the first derivative of 28 + z*x - 5\/3*x**3 - 1\/2*x**2 - x**4. Determine g so that r(g) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37569179 and 1454?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, -9\/5, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1607, 8847, 21723, 40235, 64383?\n\"Answer: 2818*c**2 - 1214*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**5\/5 + 30*g**4 - 2*g**2 + 893*g + 2797. What is the first derivative of i(k) wrt k?\nAnswer: 4*k**3 + 360*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 4*a + 11. Let j be k(4). Let p = -31 - j. Let g(c) = -c**2 + 11*c - 9. What is the remainder when g(p) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 1, h: 3, i: 16}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 25*w**2 - 2.\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30 and -4\/385.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-1)\/48*2*2*(-12)\/2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 4792864.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5*h**3 - 3*h**3 - 3 to the form w*h**3 + g*h**2 + p + o*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316678.29955 - 316665. Let h = 10437.3 - 10424. Let d = l - h. Round d to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -5.12. Let l be ((-1074)\/(-64))\/((-42)\/(-72)). Let f = l + -204\/7. Which is the smallest value? (a) f (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47940247 to 4 decimal places.\nAnswer: 0.4794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8 - 3*k - 9 + 2*k. Let l(y) = 8*y + 6. What is -l(w) - 6*q(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z - 2660 = -101*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 925 - -20. Suppose h = 6*h - z. Let t = -112 + h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10000010?\nAnswer: -10000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33730400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 3)*(r - r - r + (3 + 2 - 4)*(6*r - r - 3*r))*(1 + 4 + 5) to g + j*r and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 41*d - 200. Let y be k(5). Let p be -1 + (-4)\/(4 - 6). Let i be 1 + 18\/(-22) + 0. Which is the nearest to -2? (a) i (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Let t be x\/(-6)*12 + -2. Solve -5*n - t*w + 20 = 0, 6*n - 2*n - 16 = 3*w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -424. Let i = -194 + q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -593, 3, -3, -2605, 5, 4 in ascending order.\nAnswer: -2605, -593, -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1756 + -1753. Suppose 3*j + 40 = 5*j. Solve -8*m - j = -y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 + 44*f**2 + 6*f - 139. Is 17 a factor of v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 192. Let k = v + 164. Which is smaller: k or 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1183*x**3 - 9*x**2 + 6*x - 2338. Let c(b) = 1184*b**3 + 10*b**2 - 7*b + 2337. Let f(h) = -6*c(h) - 7*k(h). Find the third derivative of f(a) wrt a.\nAnswer: 7062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*l + 42*l - 140 = -41*l. Put 18, l, -14 in decreasing order.\nAnswer: 18, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12421 + 15455 = 92*z. Calculate the highest common divisor of 12 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b - 9*b - 8*b + 5 + (-53 - 57 - 86)*(-2 + 3 - 3)*(-2*b - 4*b + 2*b) in the form r*b + d and give r.\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 46 = -n, d + 5*n + 328 = 318 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.922 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 8*w + 100. Let f(o) be the first derivative of o**3\/3 - 9*o**2\/2 - 6*o + 4. Calculate f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 948571 = 948595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 38*n**2 - 5*n + 5. Let s(y) be the second derivative of 19*y**4\/12 - y**3\/2 + 3*y**2\/2 - 174*y - 1. What is -3*i(l) + 5*s(l)?\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1011*h**3 + 2 + 2551*h**3 + 1018*h**3 + 2933*h**3 to n*h**3 + b + q*h + a*h**2 and give n.\nAnswer: 5491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/64*(-592)\/(-32) - -11.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 54 in decreasing order.\nAnswer: 54, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - -148?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-15))\/(-4))\/((-308)\/4620).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r - 5. Let u(v) = 22*v - 8. Let o(q) = 8*j(q) - 5*u(q). Let m(y) = -17*y - 1. Determine o(m(i)).\nAnswer: -34*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:29 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (169\/13*(-8)\/4)\/(53\/((-14310)\/60))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 10*s + 14. Let d be u(-11). Suppose -d = -o + 2. Solve 5*r = 4*g + 1 - 3, o*r + 12 = -g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60138657707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 <= 3.32871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*i**6 - 3147*g**3*i**3 - 2*g**3*i + 3*g**3 - 3*g**2 - 2*g*i**2 + 7631 wrt i.\nAnswer: -120*g**3*i**3 - 18882*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339338 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(2 - -1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 15*i - 28. Determine f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50824870 to the power of 1\/2, to the nearest integer?\nAnswer: 7129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344757163?\nAnswer: 3923, 87881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 1 - 111. Let d be (48\/p)\/((-3)\/(-21)). Calculate the highest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6968668, 6968657, 6968642, 6968623?\nAnswer: 6968600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 4. Let i be ((-1)\/(-2))\/(d\/(-2)). Let u(l) = 4*l**3 + 0*l - 2*l**2 + 0*l + 1. What is u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 - 7*i + 0*i**2 + 2\/5*i**6 + 2\/21*i**7 + 0*i**3 + 1\/3*i**4 + 3\/5*i**5. Factor p(a).\nAnswer: 4*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1303 or -1?\nAnswer: 1\/1303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 86. Find the third derivative of 364*c**5 + 31*c**2 - 173*c**t - 172*c**5 wrt c.\nAnswer: 1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -71 + 23 - 2*z**2 + 36 + z**2 - 11*z. Let a be k(-9). Determine j, given that -18*j**2 + 5*j**5 + 16*j**3 + 23*j**3 + 28*j**4 - a*j**3 = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42204 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -95*p - 1339. Calculate z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 3*g**2 - 2*g + 0*g + 6. Let q(z) = -z**2 - 4*z + 5. Let b(d) = -4*d**2 - 13*d + 15. Let n(w) = -2*b(w) + 7*q(w). What is -3*l(y) + 4*n(y)?\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*3\/6)\/1. Let t(d) = d**3 + d**2 - d - 22. Let f be t(q). Let n = -14 - f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6 - 4. Let r be (-8 - 5\/(-1))*73\/(-2). Let u = -107 + r. What is the closest to d in -4, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188282 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-2)))**(-22)\/(v**(2\/3)*v)**(-1\/12) assuming v is positive.\nAnswer: v**(1589\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13448 + -13627. What is the smallest value in 1, b, -4\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2019*g**3*v**2 + 459*g**2*v**2 wrt g?\nAnswer: 12114*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 55*x**2 + 70*x - 857. Determine p(54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12054)\/(-28)*(2 + -5 - -7)?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2\/(-60)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1661 - 1793. Let g(o) = -o**3 + 5*o**2 + o + 1. Let a be g(-4). Let i = a + l. What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v**2 + 2*v**2)*(v + 5*v - 4*v) - 3 + 3 - v**3 + 0*v**2 - 3*v**3 + 0*v**2 - 2*v**3 - v**3 + 4*v**3 + (v - v**2 - v)*(-2*v + 0*v - 2*v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66623 (base 9) in base 3?\nAnswer: -2020200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2048 and 2147072?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.2, -1\/9, 2\/95 in increasing order.\nAnswer: -0.2, -1\/9, -0.04, 2\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 53 + 47 = 0. Solve -20*r - o = -15*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/3 - 792\/660*111\/(-12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -0*r. Let c = -2 + r. Suppose c*q = -2*q. Which is smaller: 2\/15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/51 + -50\/969. Is -1 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2 - 14\/6). Suppose 4*v = 2*f + 2*f, x*f = -v. Solve q - 5*s + f*s + 17 = 0, 2*s - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17467 - -17466.8. Which is the closest to -0.03? (a) 342 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8212871386 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27884, -27917, -27950, -27983?\n\"Answer: -33*s - 27851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -75.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -4141*t**4\/12 - 59*t**3\/6 + 26*t**2 - 5055*t. Find the second derivative of f(m) wrt m.\nAnswer: -8282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15902 less than -8042.56773?\nAnswer: 7859.43227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 14*j**2 + 44*j - 388. What is i(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-19))\/((-20)\/(-95))*(-4)\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, x: 2, j: 1, t: 1, y: 4, b: 2}. What is prob of sequence jbi?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.95630424694 and -0.08?\nAnswer: 2.03630424694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 - 46848*u**4 + 421332*u**3 - 280648*u**2 - 2621472*u = 0. Calculate u.\nAnswer: -2, 0, 4, 7, 11703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 720*b - 717*b + 405, 4*b - 675 = -5*p. Calculate the greatest common factor of p and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 61\/(-549) - (-8)\/18. Which is the nearest to -2? (a) -0.6 (b) n (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 1463 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wddmyhk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32197060607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 + -763 - (-8 - (2 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*(l**(1\/25)\/l)\/l)\/(l\/(l*l\/(l*l*l\/l**5*l)))**(-13\/3) assuming l is positive.\nAnswer: l**(-422\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 6:37 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 27582342.\nAnswer: 193076394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 26, -0.054, 7, -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452608 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/((2\/(-52))\/((-90)\/2340))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -3*t - 2*w, 4*w - 104 = -4*t - 32. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 12682 = 2*o + 12710, 125 - 37 = -10*o + 2*z for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-10)*(-62)\/(-2883))\/(2*3\/(-3)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 521\/15976 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**2 + 181*l - 1 - 89*l - 92*l.\nAnswer: 39*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*-4*(-6)\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4784)\/(-460))\/(24\/(-30))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1851 - 1851 + 191*w + 221*w - 342*w.\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(61\/(-30) - -2). Let x = 57 - r. Suppose t - x + 8 = 0. Solve t + 6 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*j + 10 - 16, 5*j = -5*x + 55. What is the hundreds digit of (0 - 1534\/(-14))*j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + ((-9075)\/(-70))\/11\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - i + 4*i**2 + 145*i**2 + 33*i**2 as u + q*i + g*i**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from ynlwyuubynuu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4675 + 4675. What is the second smallest value in d, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -34, -49, -60, -67, -70, -69?\n\"Answer: 2*h**2 - 25*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106\/117 in 5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 6*p - 4. Let v = 0 + -4. Let j be u(v). Suppose j*q - 22 = 5*w, -23 + 8 = -3*q + 3*w. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j + 38*j = 245. What is the second biggest value in -24, 1, 4, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-7) + (4 - 11\/7). Suppose 0 = 2*a, -5*a + 8 + 10 = p*f. What is the greatest common factor of f and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 8*n**2 + 8. Let f(d) = -d**3 - 3*d**2 - 3. Let h be 2 + (2 - 3) - (-10 - -8). Give h*a(j) + 8*f(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.96 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.932535 millilitres?\nAnswer: 0.002932535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -99. List the prime factors of o.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 16. Suppose -i + 0*i + 34 = 0. Suppose -i = -2*o + 22. Calculate the remainder when o is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*o**2 + 1659*o - 174.\nAnswer: -3*(o - 29)*(19*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -1a?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 2*c + 17. Let k be q(0). What is the greatest common divisor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -41676 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/2030145 and 13\/3?\nAnswer: 2030145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 196*p**3\/5 - 728*p**2\/5 + 816*p\/5 - 288\/5 = 0. Calculate p.\nAnswer: 6\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmppp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84883064 by 1652.\nAnswer: 51382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/5))**(-37))**32*(l**(-1))**43*(l**1*l)**(-35) assuming l is positive.\nAnswer: l**(-8853\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and -3\/161690?\nAnswer: 161690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (62 - -29)) + 107?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11003 is divided by 313.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -m. Let t(r) = 6*r**2 + 5*r - 4. Let y be t(m). Suppose -3*k + y = -5*l + 34, 4*k = 2*l + 510. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = -0*k - 5*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2997*v - 2992*v - 449, 5*u + 166 = 2*v for v.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 577\/76?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1 (b) 0 (c) -5\/2 (d) -2\/7 (e) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o*o**4*o*o)\/o*o*o*o**(-1\/6))**(-25))**43)**(-30) assuming o is positive.\nAnswer: o**317125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (12 + -13 - 20 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/21 + -1\/21. What is the nearest to 0 in -8, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.228321s?\nAnswer: 7228321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from trvgdggg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83899093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 147 = 0. What is the remainder when 144 is divided by m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9029626*y**3 + 60286*y - 41.\nAnswer: -54177756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-80)\/6)\/((-7)\/21). Let w = t + -32. Suppose w = -4*p + 184. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110011 (base 2) to base 4\nAnswer: -3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1285 = 2*n - 5*q, 4*n - q - 1824 - 773 = 0. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68012, -67592, -67174, -66758, -66344?\nAnswer: -65932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21.3, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -562, -1049, -1534, -2017, -2498, -2977, -3454?\n\"Answer: x**2 - 490*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlzzvlszzzllzlvz. What is prob of sequence zvl?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 49124?\nAnswer: -1228100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-87))\/(1\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/81*450\/(-40))\/((-10)\/96)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(1216)).\nAnswer: -24 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 6*k + 5. Let b be y(-6). Let j(f) = 4*f - b*f - 2*f. Let w(d) be the first derivative of -5*d**2\/2 - 33. What is j(w(v))?\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 7*x**5\/20 - 13*x**4\/3 + 826*x**3\/3 - 14*x - 52. What is the second derivative of n(i) wrt i?\nAnswer: 42*i - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {x: 3, v: 5, n: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -977*j**4*l + j**3*l - 2*j**3 - 10*j**2*l - 6*j*l + 16 wrt j?\nAnswer: -23448*j*l + 6*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(-3 + 1 + 0)*(-2 + 5 - 1) + (0 + 1 + 0)*(2 - 4 + 1) + 0 + 1 + 1)*(5*h**3 + 8*h**3 + 14*h**3).\nAnswer: -189*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -78. Let a be -2 + 0 + f + 14. Solve a = -5*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*v + 3*v**2 + 93*v + 91*v + 85*v + 49*v**3 + 4*v**2.\nAnswer: 49*v**3 + 7*v**2 - 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 + -2 - -1). Suppose -q + 4 = q. Sort n, 4, q in increasing order.\nAnswer: n, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(189)*3 - sqrt(189))\/sqrt(9))\/(sqrt(147) - (sqrt(147) + 3*sqrt(147))))**2.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 >= -159.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 2\/29 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*o - 1333 + 1221 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 4, 0.5, 0.1, 7\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**2 - 17*o**2 - 6*o**4 + (618*o**3 + 585*o**3 - 1331*o**3)*(-1 - o + 1) as d*o + y + k*o**2 + q*o**4 + a*o**3 and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4196 = 3*d - 35614, -d + 13236 = -4*k. Is 51 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053220 to the nearest one thousand.\nAnswer: 1053000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n + 16. Let m(w) = -276*w + 1. Determine m(t(y)).\nAnswer: -276*y**2 - 276*y - 4415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (82\/6 - -11)\/(2 + 144\/(-54))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050226695 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -453.8 - -395. Let d = -10 - 38. Let v = a - d. What is v rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -17*t**6\/30 - 17*t**2\/2 - 4*t - 46. Let d(f) be the first derivative of u(f). Differentiate d(w) with respect to w.\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1362)\/(-114) - 10\/(-190). What is the highest common factor of w and 1458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43363.\nAnswer: 103, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(((-6)\/(-12))\/(3\/(-6))). Let n(j) = j - 7. Let d be n(4). Let r be (10\/d)\/(-1)*6. Solve -p*f + 4*f = -3*u - r, -40 = 4*u + 4*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*237\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + 286?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172324782*k**4 - 101935988*k wrt k.\nAnswer: -2067897384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l**2 - 1)*(2 + l - 2) + 0*l**3 + 0*l**3 + 7*l**3 + (0*l - l + 0*l)*(-2*l**2 + 0*l**2 + 3*l**2).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*s + 594*s - 3880 - 20000 = 28*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -116?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 84410, 84542, 84772, 85106, 85550, 86110?\n\"Answer: i**3 + 43*i**2 - 4*i + 84370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3502690293 to the nearest integer?\nAnswer: 59184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*x**5 - 11*x**5 + 9*x**5 + x**5 + 2*x**5 - 4*x**5 + (x + 0*x + x)*(-2*x**4 + 3*x**4 - 3*x**4).\nAnswer: -19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 10 - 28 - 4 + 1 + 2 - 1 - 2 + 4 + 1 - 2 - 1 + 4 - 4 - 1 + 3 - 4 + 2 + (2 - 3 - 1)*(-3 - 1 + 5) - 2 + 3 - 2)*(2*w**2 - 5*w**2 + w**2).\nAnswer: 78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 4 - 263*(-11 - 3). Suppose -5*f - 3*i = -g, 3*i + 452 = 3*f - 1753. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1248240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 30*l**2 - 59.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593*103514.\nAnswer: 61383802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20080 - 20080 + 11*k**2 + 12*k**5 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/9 (c) 1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*n = 235*n + 261 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + 10 + 3\/1. Suppose -6*x = -4*x + 4*k - 8, u = -5*x + 2*k - 4. What is the smallest value in 2, -0.08, x?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 4. Suppose o - 30 = -27. Determine b(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53.01 - 52.81. Put d, 304, -3 in decreasing order.\nAnswer: 304, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*i - i - 49, 2*i - 36 = u. Suppose -i = 5*m - 224. Let o be 830\/(-4 + 9) - 2. What is the greatest common factor of o and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3183.38ng?\nAnswer: 0.00318338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r = 27*r + 3178. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/1568 - -11377\/4704. Find the common denominator of 53\/6 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = u, 58*r - 63*r - 2 = 2*u. Solve 5*z - u*a = 11, 6*z + 19 = 3*z - 4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -510*s + 509. Let l be m(1). Is -2\/10805 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac2 - -56?\nAnswer: b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 96. Suppose -3*y = 5*q - 90, -5*y + 102 = 4*q - v. Calculate the remainder when 59 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31*f**2 + 3*f + 2. Let n be q(-2). Suppose -n = -2*c - c. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -3)*100\/15 + 4. Find the common denominator of 29\/9 and -1 - (1 + 1\/(g\/(-314))).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 4495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-159)\/(-21) + -9)*(0 - 7). Suppose -18*p = -j*p - 2408. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f7c9 - -2e?\nAnswer: f7f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t + 60. What are the prime factors of (-186)\/t - 2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/306*-8*((-14416)\/(-160))\/(-53)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 5, 16, 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x + 24. Let v(m) = -3*m + 1. What is j(p) + 4*v(p)?\nAnswer: -5*p + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6297, 508, 3 in increasing order.\nAnswer: 3, 508, 6297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018128, -1018126, -1018124, -1018122?\nAnswer: -1018120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -25.8. Let g = p - 3. Let i = g + 1. Which is the closest to 0? (a) -0.4 (b) -3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 285 - 57 = 0. What is the greatest common factor of h and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - 7. Let i = -14 + 7. Let l(p) = 8 + p**2 - 52*p + 52*p - 7*p**2. Determine i*b(q) - 6*l(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 3*y - 3*y)*(-1 - 1 + 0) - 7*y**3 + 89*y + 2*y**4 + 12*y**3 - 161*y.\nAnswer: 6*y**4 + 5*y**3 - 72*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327540 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 + 9*j**2 - 15*j - 5. Let f be h(3). Let c = -253 + f. Solve 2*l - 4*s = -14, -4*l + 2*s = s + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 5*y - 494, g = -3*y + 298. Let j be (310\/(-30))\/((-2)\/24). Let x = j + -113. Calculate the highest common divisor of y and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6249 + 77*q + 6249 - 65*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172370922?\nAnswer: 2, 277, 313, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (36\/12)\/((5\/(-10))\/((-1)\/22))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*h - 65*h - 12 + 132*h in the form s*h + p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111687 or -446751\/4?\nAnswer: -111687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11817416 divided by 29692\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174 and -34.\nAnswer: -5916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -s - 6, -4*s + 3 = -3*i + 2. Let o(x) = -x**2 + 3*x. Let y be o(i). Let n be 8\/y - 168\/(-60). Solve -3*g + 5*v = n, -5*g + v + 2 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8)*2)\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*t - 3. Let j be t*(-4 - -6)\/2. Let g(i) = -5*i + 1. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23413110*d**3*j**2*r**2 + 2*d**3*j**2*r - 28*d**3*j**2 - d**3*j*r**2 + d**3*j*r + d**2*j**2*r + 3488*d**2 + 2*j**2*r wrt r?\nAnswer: -46826220*d**3*j**2 - 2*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 - -0.32. Let f = c - -0.17. What is the third biggest value in -2\/11, -0.05, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + 29*d**3 - 19*d**3.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326093 is divided by 87?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -601 + 627.68. Round l to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 28*n**3 - 267*n**2 - 940*n - 700.\nAnswer: -(n + 1)*(n + 7)*(n + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2090063.\nAnswer: 418012.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/9 + 36506*y\/9 + 3924460\/3 = 0. Calculate y.\nAnswer: -317, 18570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2. Let s(m) = 4*m**2 - 700*m + 700*m. What is s(u(o))?\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.217 and 0.6.\nAnswer: -0.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19461 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 23*m - 10. Let y be q(-12). Solve 7 = -5*o - y*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 + 280. Let g(y) = y**2 - 3*y. Let s(b) = -b**2 + 2*b. What is r*s(p) + 3*g(p)?\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5759 + 5762. Let k(z) be the first derivative of 0*z**2 + 23\/4*z**4 - 9*z + 0*z**x - 21. Differentiate k(g) with respect to g.\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -42, -4, 0, 34 in increasing order.\nAnswer: -42, -4, 0, 1, 9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152500029 and 5379?\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 28 = 2*o. Suppose 3*q = -o*j + 66, -3*j + 2*j = -2*q + 55. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -378738632132?\nAnswer: -378738632120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 1 (b) -2\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -351 - -431. Differentiate 166*m + 55*m - 5 + 93 - 70*m + n with respect to m.\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 2. Let s(d) = -624*d - 768. Calculate -1920*p(c) - 5*s(c).\nAnswer: -720*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 297308 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -69*t**3 + 3*t**2 - 193*t + 3. Let x(s) = 138*s**3 - 7*s**2 + 386*s - 7. Let i(d) = -7*g(d) - 3*x(d). What is the second derivative of i(p) wrt p?\nAnswer: 414*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vxsku?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 76860588?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/2 - 2)*-2. Let v = x + 2. Let i(k) = -k**3 + k + 9. Give i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*j + 10 = 0, -4 = -4*p + 5*j - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7019, -28097, -63233, -112427, -175679?\nAnswer: -252989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.056 - 1.056. Which is the closest to -0.1? (a) w (b) 2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -895 times -3139\nAnswer: 2809405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 16. Suppose -10 = -2*n, 8*n - 3*n = -2*t + 51. Let h be u(t). Let d(m) = m**3 + 4*m**2 + 3. Is d(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/18*(-4)\/(-2). Which is smaller: p or -2\/39?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1335536 (base 7) to base 5.\nAnswer: -21133020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3733776*s**6 - 459606*s**2.\nAnswer: 448053120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c + 13 = -p, -p + 3*c + 15 = 0. Sort p, 10, -4\/3 in descending order.\nAnswer: 10, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) 38 (c) -2\/13 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 + 8*c - 3. Let f be d(6). Let z = f + -212. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/10729 or 0?\nAnswer: -29\/10729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021211 - 21?\nAnswer: 11021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 696 + -682. Solve 12*z - g*z - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65)*-2))*-1) - sqrt(65)*-2*6)\/(2*sqrt(605)*3).\nAnswer: 8*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*j = -2*t - 114*j + 46, 4*t + 40 = -3*j for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/390665 and 46\/77?\nAnswer: 2734655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 23*q**2 + 50*q - 228. Determine a(25).\nAnswer: 2272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 190*k + 1805.\nAnswer: 5*(k - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11618563 is divided by 2119.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-44)\/(-12) - 2). Suppose -k*o = t - 61, -2*t = -t + 2*o - 46. What is the highest common divisor of 54 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = h + h, -h = 3*v - 9. Solve h*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1)*(-15)\/5. Suppose -v = -5*b + 3, -v = b - 0*v + f. Let m = 89 + b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Let d be (10 - 12)*(-1 - 0). Put q, d, -2\/17 in descending order.\nAnswer: q, d, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 54.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15453787.\nAnswer: 563, 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-4)\/(-28) + 0. Let x = 165 + -493\/3. What is the second biggest value in k, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22552 - 6299 + 67075 = -14*n. Is n at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = x - 4*x. Let r = -37 + 43. What is the greatest common factor of r and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3212973.398 - -3206564. Let i = b - -6373.39839. Let h = i + 36. Round h to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -7 - 9 - (1 + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -3*r + 4*k, -3*k + 23 = -r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 17 = -13*i + 2*n, -5*i - 13 = -2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:31 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 4\/3*c**3 + 5 + 1\/12*c**4 + 7\/2*c**2 + 12*c. Calculate b(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1656208*202\nAnswer: 334554016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103291 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 16 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 5) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 5) to base 12.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -629*q**4 - 33*q**3 - 1251*q**2. Let c(h) = -315*h**4 - 18*h**3 - 626*h**2. Let t(o) = -11*c(o) + 6*m(o). What is the third derivative of t(b) wrt b?\nAnswer: -7416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*s - 17, -6 = 2*s - 3*d + 1. Suppose 2*x + 5 = 4*y + 13, -4*x + s*y = -28. Solve -x*l = 2 + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 41 + 11 = 0. Suppose n = -n - p. Is ((-44)\/20 - n)*35 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7323 is divided by 112?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3 + 234*r**2 - 4788*r + 8664 = 0.\nAnswer: 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141110752 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(108) + -3.\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -0*w + 4*t - 10, -5*w = t + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 834 and 3081.\nAnswer: 856518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*k**3*m**2*v - 78*k**3*m*v + k**2*m**2*v - 344*k**2*m**2 wrt k.\nAnswer: -96*m**2*v - 468*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m + 24. Let i(s) = -5*s - 12. Let l = 20 + -25. Let x(j) = l*i(j) - 2*r(j). What is the units digit of x(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 1, -2126\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u + 343. Let i be o(31). Suppose 0 = i*w - 6*w - 12. Let d = 0 + 0. Sort 0.4, w, d, 1\/3.\nAnswer: w, d, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*i = -6*i - 19, 4*l - 34 = i. Solve 5*x = 2*x - l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 5*v + 7. Let y be n(6). Let q(x) = 2*x - 3. Let l be q(8). Let j(h) = -5*h - 5. Let a(o) = 10*o + 11. Let f(t) = l*j(t) + 6*a(t). Give f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(832) - 4*sqrt(832)*-3) + -4 + (-5 + sqrt(832) + sqrt(832) + 1 + sqrt(832) + 5 - (-3*(0 + sqrt(832)) - (3 + sqrt(832)*-2))))**2.\nAnswer: 652288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-42))\/(22\/12 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.888744461 rounded to two decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13418*w**2 + 6701*w**2 + 6696*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -l - 10 + 1, -3*d + 30 = -4*l. Solve -k + 4*z + 9 = -3, k + 5*z = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 - 142. Let g(r) = -13*r**3 + 7*r**2 - 14 + r + 12*r**l + 8*r**2. Give g(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -429 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*t**2 - 1103*t**2 - 477*t**2 + 5 - 5 + 2*t**2 + (-2*t + 2*t - t)*(-t - 3*t + 2*t).\nAnswer: -1636*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2628265 + 588809. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56, 61, 56, 35, -8, -79?\n\"Answer: -y**3 + y**2 + 9*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 679284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 669447079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86.3 + -175.3. Let w = 262 + a. What is the third smallest value in w, 27, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-44)*(-4)\/10.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6281536*b**3 + 5361998.\nAnswer: 18844608*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.181845003 to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -113\/125059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 2 (c) -0.4 (d) 164 (e) 82 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59489384321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 + 10. Let n be r(-7). Let m be (n\/(-25))\/(1\/(-5)). Suppose 8 = 2*u, m*u - 7*u = s - 68. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -0.144.\nAnswer: -7.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/9, -0.1, 0.03, -4.\nAnswer: -4, -1, -4\/9, -0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3 + 12. Let m be 20\/25*u\/(-2). Suppose -d + 20 = m*z + z, 0 = -3*z - 2*d + 19. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-85 - -1)*4\/(-12). Let c = 29 - h. Suppose -4*f + 24 = 4*f. Solve -4*k + 1 = -3*k + l, -f*k - c = -l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00134712 to 5 decimal places.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 174. Let m = 135.2 - k. Round m to 0 dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, -11, -107, -283, -563, -971?\n\"Answer: -4*x**3 - 4*x**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/2*((-426)\/84)\/(-71).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 4. Let n be x(5). Let q(a) = -19*a + 1. Let r be q(n). Solve -4*i = -3*l - 20, -4*i - 2*l = -3*l - r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q. Let l be x(2). Let m be (-1 + -2)\/(18\/(-114)). Let c = -15 + m. What is the closest to l in 5, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -856*a + 469934. What is c(549)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119)*-2*-4 + 3*(sqrt(119) - sqrt(119)*-1)))\/(sqrt(35)\/(sqrt(35)\/sqrt(7)) + sqrt(7) + sqrt(7) - (sqrt(1008)*4 - sqrt(7))).\nAnswer: 21*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/2, -1\/5, -0.1, -0.351?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - h**2 - 2*h + 4. Let z be p(2). Suppose z*r = 13*r - 18. Which is the nearest to 0? (a) -2\/9 (b) -1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(-2*sqrt(119) + sqrt(119))*-2)\/((-2*sqrt(315))\/(sqrt(5) + sqrt(250)\/sqrt(2))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 557166 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 1334215?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 110*o + 653. Give a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*5 + sqrt(242) + 5 + 0.\nAnswer: 5 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 302*w**2 - 610*w - 306.\nAnswer: 2*(w - 153)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Solve b*h = g - 12, -12 = h - 2*g + 4*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123 - 29.5. Let c = t + -93. Sort 1, c, -3, 21 in decreasing order.\nAnswer: 21, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*q + 5)*(-164*q + 91*q + 105*q) - q**2 + 5*q - 5*q + (0 + 0 + q**2)*(-1 + 1 - 1) to the form y + r*q**2 + u*q and give r.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 55*g + 5 + 7*g - 3 to u + i*g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(0 + 2 + -3). Suppose -5*t - 2*q = -44 + 34, -3*q - 4 = -2*t. Solve t*j + h = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 3 + 4)\/(5\/5*-1). Determine j so that 6*j - 3\/2*j**3 + g + 0*j**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -47*u + 182. Let s(m) = 142*m - 519. Determine -11*g(y) - 4*s(y).\nAnswer: -51*y + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, g: 3, w: 1, u: 2, a: 2, o: 7}. What is prob of sequence uoa?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 8*j**2 + 35*j - 1313. What is b(0)?\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in -2, 2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1296 and 3504.\nAnswer: 94608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 69\/8*u**2 + 3\/8*u**5 + 141\/8*u**3 + 0 + 75\/8*u**4 = 0. Calculate u.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -4\/3 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + l + 31 = 4*r, 3*r + 5*l + 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**2 + 9*z + 9. Let y(x) = -2*x**2 - 1 + 3*x**2 - 2*x**2 - x + 0*x. Let h(n) = -2*r(n) - 18*y(n). Let j(s) = 3*s**2. Determine h(j(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) -4\/7 (c) -3 (d) 1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -316, -650, -996, -1360, -1748, -2166?\n\"Answer: -s**3 - 327*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52\/315 - (-178)\/(-84105)*15\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616636 to the power of 1\/2, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 352605.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 556473*l - 9460908 = 0. What is l?\nAnswer: -17, 185508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730169.\nAnswer: 11, 41, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 9. Let p be i(6). Suppose -p = 5*m - 492. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 441168175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2. Let f(m) be the third derivative of 13*m**5\/2 - 29*m**2 + 2*m - 3. Determine s(f(b)).\nAnswer: -456300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -441, -2, -28 in decreasing order.\nAnswer: -1\/12, -2, -28, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-45 + 37 - -18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 301006.\nAnswer: -3\/301006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -82.\nAnswer: 5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2 + 3 + 0. Suppose -5*m - v*b + 85 = 2*b, -2*m - 4*b = -38. Solve -j + m = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 17*a**2 + 5*a + 40. Let t(j) = j**3 - 10*j**2 + 3*j + 20. What is 3*k(m) - 5*t(m)?\nAnswer: 4*m**3 - m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - m + 60 = -z, -3*m = 0. Let x(k) = 3*k - 7*k + z*k - 2*k**2. Let v(n) = -n. What is -4*v(j) - x(j)?\nAnswer: 2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 2.8.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/27 (b) -2\/25 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43118289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 194 times -150.7\nAnswer: -29235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-5))\/(2\/(-5)). Suppose -5*r + p - 4*p = -26, 0 = -3*p - q. Suppose -2*d = -r*d + 210. What is the greatest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2863 + 24213 = 5*d, -85520 = 4*v + 4*d. Let k = v - -39375. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - 5 - (0 + -1). Factor -k*i**4 + 0*i**2 + 15*i**5 + 3*i**3 - 14*i**5 - i**2.\nAnswer: i**2*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405027 plus 32?\nAnswer: 7405059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 5*x**2 - 3*x. Let n(y) = -y**2 + 3*y - 3. Let u(q) = -2*q**2 + 7*q - 7. Let g(h) = -7*n(h) + 3*u(h). What is g(r(a))?\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 116*x**2 + 4*x + 25. Let h be i(-10). Let k be 5 + h\/(-2150) - 2\/(-5). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1535.1474 - -1535. Let l = y + 0.15. What is l rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - u - 26 = 0, 31*u + 41 + 121 = -o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -583*u + 591. What is l(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**2*h + 18*a**2*r**2 + 2*a**2*r - 7*a**2 + 4*a*h*r**2 - a wrt r?\nAnswer: 36*a**2*r + 2*a**2 + 8*a*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**5\/24 - p**4\/12 + 7*p**3\/3 - 3. Let n(x) be the third derivative of t(x). Let f(w) = 4*w - 2. What is -4*f(y) + 3*n(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 2531262.\nAnswer: 2784388.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -2. Suppose 4*n + 56 = 4*c, -4*n - r = -n. Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.696*-63.\nAnswer: 862.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r**4 - 2*r**2 + 0 + 0*r**3 - 1\/20*r**5 + 0*r - 1\/40*r**6. Find the third derivative of z(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 159 = 3*h. What is the tens digit of ((-659)\/(-4)*h)\/((-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 2021624*s - 255435224836 = 0 for s.\nAnswer: 252703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 3*k**2 + k**2 + 2*k)*(-3 + 1 - 4259*k**2 + 4238*k**2 - 2*k) to the form z*k**3 + f*k**4 + t*k + c + d*k**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h - 76. Let d(l) = -15*l - 78. Let w(p) = -6*d(p) + 7*s(p). Let k be w(-20). Which is the third biggest value? (a) -0.4 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1998 + 2045. Solve -54*c - 7 = -b*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (71\/(-1) + 1). Let i = x + 90. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-252)*21*55\/(-10) - 262\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.079, -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.2, -357 in decreasing order.\nAnswer: 0.2, -1\/7, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 5073. Does 72 divide n(-139)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, -0.5, -4, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**2\/2 - 24*j - 474. Determine t(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 4 (c) -2\/1197 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 323370 = -2*g, 3*j + 593717 = 3*g + 108710. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3518961*i**2 - i + 1636767.\nAnswer: 7037922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 26 = -n, 0*n - n = l - 15. Suppose 3*g - 6 = 6*g. Let s be 12 + 1\/(1 + g). Is l >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14 = 26. Let l be 18 - 15\/((-30)\/o). Let a = 6 - 1. Sort 0, l, a.\nAnswer: 0, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-20) - 16\/(-5). Suppose 0 = -3*k - 2*s + 3 - 1, s = -v*k + 1. Suppose 2*w - 4*f - 966 = k, 0 = -5*f + 3*f + 2. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -401*q + 33. Let n be g(11). Let r = n + 10381. Suppose -4237 = -4*j + r. What is j rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 4671162?\nAnswer: 4671162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/8 and 53\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsxxssxxxxsxsxxxxs. What is prob of sequence xxs?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 13*u**4 - 1 + 13*u**4 - 2*u**3 - 485*u + 40*u as k*u + b + s*u**4 + q*u**2 + g*u**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/28*7\/6*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2158786779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.5 (c) -0.85 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 43*d**2 + 350*d - 1010. Determine j(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, 8, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let j(c) be the second derivative of c**5\/10 - 9*c**2\/2 + 7*c. Let g(t) be the first derivative of j(t). Calculate g(s(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7062, -27033, -59932, -105759, -164514, -236197?\n\"Answer: -6464*h**2 - 579*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -328*m. Let b(d) = -13*d**2 - 6. Let o(s) = 58*s**2 + 28. Let q(p) = -14*b(p) - 3*o(p). Give c(q(v)).\nAnswer: -2624*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003903 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/7 + 8*y**2\/7 + 20*y\/7 + 16\/7 = 0. What is y?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38635 (base 10) to base 8.\nAnswer: 113353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10492120 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -119.7, 3.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 - 37*o**4 + 17325*o**2?\nAnswer: 180*o**2 - 888*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5 (c) -0.2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*w**3 - 206*w**2 - 1 wrt w.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14 + 2)\/(12\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + (-4 - -11) - (24 + 26)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1569 + 1568. Put k, 4, -2, 0, 2 in decreasing order.\nAnswer: 4, 2, 0, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 16*x - 1 - 1 + 0 in the form t*x + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*sqrt(102)*-1)\/(3*sqrt(30)\/sqrt(5))*-1)**2.\nAnswer: -32*sqrt(17)\/3 + 416\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007000418 to seven dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 17 - -1 - (-9 + (45 - 44))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4995 times -23\nAnswer: 114885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 28. Suppose -3*a + 5*n + 12 + 17 = 0, -4*a + 3*n = -24. Suppose 0 = -2*i + a*v - 31, 2*i + 3*v + 11 = i. Is u(i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -229, -2692, -0.7?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*p + 10 = 502*p. Solve 3*r + p = o, -2*o = r - 0 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.3 + -14.2. Let x = -66.424 + g. Round x to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.46 + -85. Let d = -1.46 + x. Which is greater: 1\/10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -802.8 * -42.\nAnswer: 33717.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 30*l**2 + 23*l + 937. Give y(28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, 4, -6487?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22141*4.\nAnswer: 88564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i + 168. What is the remainder when k(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(78) + -1*sqrt(78) + sqrt(78)) - (sqrt(78) + 4*sqrt(78)*-2 + sqrt(78)))\/(sqrt(96) + -1*(sqrt(96) + -2*sqrt(96))))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -21. Solve -5*m + n = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/p**(-7)*((p\/(p\/(p\/(p*p*p*p\/(p\/(p**(1\/5)*p))*p*p))))\/p)\/(p*p**(-1\/3))*(p**(-2\/7))**(-32)\/((p**4\/p)\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(3791\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405346837?\nAnswer: 7, 57906691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -10*n**5 + 6414*n**4 + 16816*n**3 - 46312*n**2 - 36096*n + 20608 = 0?\nAnswer: -4, -1, 2\/5, 2, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/13)*y**1*(y**7*y)\/(y*(y\/((y*y\/(y\/((y\/(y*y**(5\/3)))\/y)*y))\/y)*y)\/y))**(-1\/42) assuming y is positive.\nAnswer: y**(-71\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/6)\/(1\/(-3)). Let h be (-2)\/(-4)*0\/2. Let l be -30*((-4)\/40)\/(4\/16). Solve h*r - l = -g*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, 0.43, -0.5, -0.1, 2\/3, 2\/7, -8?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73311*h**4 - 54*h**2 + 62814959*h wrt h?\nAnswer: 879732*h**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002920460961 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*f + 6*t - 32*t, -8*f + 11*f + 38 = -5*t for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/14 and 89\/2114.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**28)\/(((((x**33\/x)\/x)\/x)\/x)\/x)*(x**(-32))**(2\/23) assuming x is positive.\nAnswer: x**(-41\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*y + 4*n - 222, -5*y = -4*n - 214. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227a4 (base 11) to base 7\nAnswer: -164635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.097006 to three decimal places.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -20*o**3\/3 + 11*o - 11. What is the first derivative of l(w) wrt w?\nAnswer: -40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 2955. Let q(j) = 28*j + 25. Let c(r) = -11*r - 10. Let m(b) = 5*c(b) + 2*q(b). What is n(m(p))?\nAnswer: -3*p - 2955","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Calculate the remainder when 14 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 143*x**2 - 77. Let i(v) = -11*v**2 + 6. What is 6*f(u) + 77*i(u)?\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + u**3 - 4*u**2 - 4*u.\nAnswer: u*(u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 3*a - 1. Let y(p) be the third derivative of p**6\/120 - p**5\/12 - 7*p**4\/24 + p**3\/2 + p**2. Give -5*c(u) - 2*y(u).\nAnswer: 3*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 3*y - 56. Solve -7 + 2 = 5*r + y*s, 4*s = 2*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muvvmmuv. Give prob of sequence uv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -11\/135 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 0 - 2 + 0*b)*(-37*b - 13*b + 75*b).\nAnswer: -175*b**2 - 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4532790.\nAnswer: -4\/2266395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/1)\/(6\/27*-1). Suppose m*d = -4*d + 54990. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60011077 is divided by 1427?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -8.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -122172480 divided by 15271560\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h + 31. Let y be q(8). Let n = y + 192. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75341537*k**4 + 2*k**2 - 3514*k - 719 wrt k.\nAnswer: 1808196888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2830000 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2*a**2 + 8*a + 2. Let r be j(4). Let d(f) = -3*f - 3. Let k be d(-5). Suppose -2 = r*c - k. Solve 0 = l + 2, 5*o - c*l + 0*l = 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348176 or -348174?\nAnswer: -348176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, 3, -18, 5, -28, 1 in increasing order.\nAnswer: -28, -18, 1, 3, 5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4481 = 5*v, 2*v + 3*y - 1072 = 709. Suppose v = 4*a - 225. Suppose 16 + a = 4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + -6*(sqrt(1377) + 0)**2*-5)*-3.\nAnswer: -123945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 6 + -4 + 2510 + -2510\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91) + -1*sqrt(91) + sqrt(91) + sqrt(91)))\/((sqrt(14) + sqrt(14)*-1 - sqrt(14))\/sqrt(2)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + -4*sqrt(112) + sqrt(112) - sqrt(112))*5)**2.\nAnswer: -45425 - 4000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4)*l*l)**(-42)*l**(-16)\/(l\/l**9))**1)**(-37) assuming l is positive.\nAnswer: l**(-2812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -47. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let w(g) = -9*g - 2. Let x(c) = -6*h(c) + w(c). Let k be x(-1). What is the closest to -4 in 0, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11877544 to the power of 1\/2, to the nearest integer?\nAnswer: 3446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-909)\/((45\/(-1528))\/15). Suppose 4*s - p = l, -3*l - 8*s = -7*s + 1389004. Round l to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249 - 350. Let h = t - -107. Suppose 3*a - q = -h*q + 15536, 0 = -2*a + q + 10353. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8888 - -116?\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 13. Let b(l) = -l**2 - 13*l. Give h(b(u)).\nAnswer: u**2 + 13*u - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242901664.\nAnswer: 2, 383, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -2 in decreasing order.\nAnswer: -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*n - 53 = 0, -s + 4*n + n + 17 = 0. Find the second derivative of -14*i + 4*i**4 + 4*i**4 - 11*i + s*i wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 212 and 7253.\nAnswer: 1537636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = l - 72. Let q be (-2)\/(-5)*(-5)\/l. Let m = -1.2 + 0.2. What is the second smallest value in 2\/7, q, 1\/4, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, m: 4}. What is prob of sequence mmgm?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 9.4 (c) 3032 (d) 0.5 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*z**2 + 23*z**2 + 10 + 18*z**2 in the form h + a*z**2 + j*z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 7417018?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019235 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 190408 in 1\/2, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -39*d**2 - 5*d. Suppose -6 = -f - 17*h + 18*h, -3*h + 22 = 5*f. Let z(x) = 19*x**2 + 2*x. What is f*z(m) + 2*a(m)?\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10580258.\nAnswer: 2, 13, 229, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -296077 and -26.9?\nAnswer: 7964471.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(14\/5)\/(((w**(-2\/3)*w)\/w*w)\/w)**31 assuming w is positive.\nAnswer: w**(394\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5326265, -10652526, -15978773, -21305000, -26631201?\n\"Answer: m**3 + m**2 - 5326271*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 6*i**2 + 10*i + 24. Let y be b(-7). Suppose y*t + 4956 = -4*k, 0 = -5*k - t + 2*t - 6176. Let n = k + 2113. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 + 46*w**2 + 6. Let c be h(23). Suppose 10873 = c*j - 30953. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 43. Let p be t(-11). Let a = -51 + p. Solve 0 = a*r - 12, 4*r = 3*b + 8 + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*t, 4*k - 8*t + 7*t = 1182. Suppose -n - 3*x = -3*n + 595, n - k = 2*x. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 44*d - 13. Is o(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -12 + 7 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50302 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2 + 2*p + 40*p**3 - p - 2*p**2 - 38*p**3. Give t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14392*c**3 - 3182*c?\nAnswer: 86352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l + 5. Let s be m(-1). Let n be s\/(42\/(-116)) - (-4)\/(-12). Solve 2*r = -2*v - 8, -2*r + 7 - n = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + t**2 + 3*t - 7. Let o(x) = x**3 + 1. Let w(l) = -h(l) - 5*o(l). Let f be 2*(5 + 1 + -2). Let i be f\/6*(-18)\/(-12). Determine w(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*g + 11*g + 14*g + (-3*g + 0*g + 4*g)*(5 - 3 - 1) + 1 + g - 1)*(g + 1 - 1) to n*g**2 + v + r*g and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = p - 7 - 2, -3*p + 5*m = 24. Let v = p - -15. Suppose -v = -j - 8. Solve -j*g - 5 - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -14 - 9 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 106. Let h = j + -39. Suppose 0 = -0*p + 5*p - 5*w - 10, -4*w + 28 = 5*p. Solve -q + 20 = 4*q, h*n = -p*q - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -193. Calculate the remainder when i is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 4, -0.5, 5, -3\/5, 0, 39?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 4*r - 1. Let k be p(11). Let o = k + -70. Find the third derivative of -44*q**2 + 9*q**4 + 34*q**4 - o*q**4 wrt q.\nAnswer: 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/((-18)\/(-108)). Suppose -8 = r - l*r. Solve 4*v - 20 = -5*t, 5*v - r = -t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 10878183.\nAnswer: 97903647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-20)\/15)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/42 - 8*j**3\/21 + 12*j**2\/7 + 23*j + 38. Let p(n) be the first derivative of k(n). Let p(b) = 0. Calculate b.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16077.82529 to the nearest ten.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1) - (-104)\/(-1). Let i be 1\/(2 + n\/54). What is the remainder when 137 is divided by 3\/i + 1002\/36?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 72 = -3*b, 5*o - 22 = b + 34. Calculate the greatest common divisor of o and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/4 - 27*v**3\/2 + 63*v**2 - 114*v + 72.\nAnswer: 3*(v - 12)*(v - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 (base 14) in base 2?\nAnswer: 101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 3*l + 20. Find the third derivative of -l*y**2 - 30*y**3 - 60*y**3 - 119*y**2 - 2*y**5 wrt y.\nAnswer: -120*y**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6132142 (base 7) to base 9\nAnswer: 1333254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 3\/10, -0.4, 2 in increasing order.\nAnswer: -4, -1, -0.4, 3\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/8)\/(((-202)\/(-1616))\/(10\/(-12)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13553898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 5*h + 5, 3*p = -h - h + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395234434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 57 + 0 = 0. Let t be (-22 - (0 - -1))\/(19\/h). Let a = -68 - t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 2 = 0. Suppose -90*g + 55*g = 140. Put f, 5, 4, g in ascending order.\nAnswer: g, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 1 (b) -2\/10773 (c) -1 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -1\/2 (c) -3.1 (d) 4 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 477.2897 years?\nAnswer: 4.772897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a + 0?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -51*l**2 - 2. Let d(a) = 6*a**2 - 1. Give j(d(v)).\nAnswer: -1836*v**4 + 612*v**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158, 327, 510, 713, 942?\n\"Answer: u**3 + u**2 + 159*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 + (-26)\/(-28)). What is the lowest common multiple of 924\/78 + (-2)\/(-13) and 136\/d + (-4)\/(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 3797?\nAnswer: 60752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*l - 4 = 0, -2*q - 5*l - 13 - 3 = 0. Let m(k) = k - 1. Let d be 2\/3*(-28 + 25). Let s(t) = 2*t - 1. Give d*m(n) + q*s(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4917 - -4913.7436. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Let l = -0.27 - 0.03. Let h be (0 + 24\/28)\/((-34)\/119). Sort r, h, l.\nAnswer: h, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 bigger than 474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -2 - (0 - 0). Suppose m*r = -2*v, 3*v + 0*r - r = 21. Suppose -p = -v*p + 42000000. What is p rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -384\/5*q - 8*q**3 + 224\/5*q**2 + 0 + 2\/5*q**4 = 0.\nAnswer: 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2630558?\nAnswer: -2630558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = b. Suppose 0 = -2*h + b*h - 5*k + 753, 4*k + 1164 = -3*h. Is h\/(-5) - 1\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 104 (b) 3\/8 (c) 11 (d) 68 (e) -0.4 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 11) to base 2.\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1648, -3455, -5264, -7075, -8888, -10703?\nAnswer: -12520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 + 53?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1714*y**4 + 864*y**3 + 1365*y**2 + 676?\nAnswer: 41136*y + 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17723?\nAnswer: 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 174. Let c = w - -108.88. Let t = -0.12 - c. Put 1\/4, 0.4, t in increasing order.\nAnswer: t, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43b (base 12) to base 4\nAnswer: 21233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = n - 1, -a + 4 = -5*n + 9. Let j(t) = -t. Let o(i) be the first derivative of -3*i - 5 - 5\/2*i**2. Give n*o(g) - 3*j(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -14328668*j**2 - 14645*j + 14645. Let c(s) = -2935*s**2 - 3*s + 3. Calculate 14645*c(f) - 3*z(f).\nAnswer: 2929*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**7\/189 - 4*r**6\/135 + r**5\/45 + 2*r**4\/9 - r**3\/3 - 3*r - 59. Suppose g(d) = 0. Calculate d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 - (4 - 20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8010470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-232)\/24 + 2\/3. Let x be 2\/2*(10 + v). Which is bigger: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (6 - (13 + -6) - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let u = f + -4. Let n = 5966 - 5964. Solve -4*x + k + 23 = u, 0 = n*x + 5*k + 8 - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*i + 823 + 2804 = -715 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*h - 690*h = 0. Find q, given that 1\/3*q**3 + 0 + h*q**2 - 1\/3*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*x + 18*x + 20*x - 0*s - 3*s + 48, 68*x + s - 616 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*l = -279*l + 56816 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.5, 1, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 75499 - 11052 = -3*z, 5*w + 28847 = z. Let q = z + 17148. Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9*h + 112. Determine a(21).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m**3 - 28*m**2 - 94*m + 240. Let g(d) = 2*d**3 + 7*d**2 + 23*d - 60. Let x(k) = 9*g(k) + 2*w(k). Give x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 260*k**3 + 1266*k**2 - 2008*k + 1000.\nAnswer: 2*(k - 125)*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19149926 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 12:45 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by 534.\nAnswer: -166\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1622\/5*y**2 - 1612\/5*y - 14\/5*y**4 - 332\/5*y**3 + 336\/5 = 0. What is y?\nAnswer: -28, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -10*u - 10, 10 = 5*x + 9*u + 23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2864*a**2 + 184*a - 78. Let d(f) = 5729*f**2 - 365*f + 143. Let u(k) = -6*d(k) - 11*z(k). Find the second derivative of u(q) wrt q.\nAnswer: -5740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 5*n + 4. Let l = 24 + -19. Let d be w(l). Solve k + d*k = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**4\/8 - i**3\/2 + 3*i**2\/4 + 3*i\/2 + 41. Factor q(k).\nAnswer: -3*(k - 1)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 0 - (-14 - (28 + -12 + (-36 - 1)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 49 - 24. Suppose b*u - 4*w + 94 - 30 = 0, -2*w + 56 = -4*u. Calculate the common denominator of (-4)\/(-3) - (-38)\/u and -31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*l - 453, 2*l + 271 = -2*a + 5*a. Let v = -42 + a. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -37 - c**2 - 41 + 24 - 1 + c. Let v be m(0). Let j = -29 - v. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/508 + -12805\/1016. Let h = 336083\/36 + -9333. Calculate the common denominator of z and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 2\/139 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 m, and 1 s when four letters picked without replacement from {r: 4, m: 2, w: 2, s: 1, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Suppose -16 = -5*a - 6*k + 3*k, 4*k = -4*a + 16. Let g(n) = -2*n**a + n**2 + 0*n**2. Give g(m(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -275, 19, 4 in descending order.\nAnswer: 19, 4, -2, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/(33\/8). Let j be 2 - 14\/(-11)*-1. Let h = a + j. What is the nearest to h in 0.2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 212, 297, 422, 599?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*y + 13, -5*y = 5*s - 0 - 5. Let t be -1*2*(s + (-275)\/66). Determine d, given that -t*d**3 + 1\/3*d + 1\/3*d**2 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l + 62. Let q be z(7). Solve -4*h + 3*w = 22, -h + 0*h - q = -w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g**2 + 0*g)*(4*g + g**3 - 4*g) + (-10*g**5 + 14*g**5 - 5*g**5)*(-3 + 2 + 0).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370892 is divided by 4636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)*j**(10\/3)\/j assuming j is positive.\nAnswer: j**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 3*q - 12579*q**2 + 12562*q**2 + 2 as s*q**2 + f + y*q and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from kwwwwwwkkwwwwk.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/100 and -49\/4100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4, 0*p + s = -p + 26. Suppose -3*o - 3*x - 3 = 0, 3*o - p = -2*o + 3*x. Suppose 2*k + o*k + 10 = 0, -4*h = k - 158. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5794171+28\nAnswer: 5794199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 44508.\nAnswer: 222540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9790*l**2 - 4918*l**2 - 4903*l**2.\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 176718514 - 5?\nAnswer: 176718508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (110 + -108)*2\/(2\/(-19)). Let n = 77 - u. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20586, 41161, 61734, 82305, 102874?\nAnswer: 123441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2. Let a = 12 + -10. What are the prime factors of y(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgtc when four letters picked without replacement from {l: 6, g: 3, c: 1, t: 2, k: 1, w: 2}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -281 - 151. Let k be (-2)\/(-5)*(-120)\/s. Let i = 0 - -3. What is the closest to k in 2, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9442 + -4752. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -2.6. Let u = i - 1. What is the nearest to 3\/2 in -1, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1711 - 1c0?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 932068 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 65*l**4 - 143*l**4 + 3*l + 75*l**4 - 2*l**2 - 3 to y*l + m + d*l**2 + i*l**3 + j*l**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -16.7. Let r = 12.7 + -16. Let f = q + r. Which is the third biggest value? (a) f (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97, 401, 771, 1213, 1733, 2337, 3031?\n\"Answer: d**3 + 27*d**2 + 216*d - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276 is divided by 129?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220778*z**3 + z + 4*z**5 + 220838*z**3 + 32*z**4 - z.\nAnswer: 4*z**3*(z + 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:15 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-56)\/6))\/((151\/(-302))\/(12\/9))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 157*z - 26 = 155*z, 6 = 4*d - 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 608.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r + 3. Suppose 0 = l + 2*l - 6. Let a be l\/(-8) - 42\/24. List the prime factors of p(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1660 - 2695. Is (-59)\/(2\/(-9) - 185\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o**2 - 6 - 10*o**2 - o - 6*o. Let d = 72 - 67. Suppose -5*p - 21 = 3*r, 0 = d*r - 10 - 5. What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/15 - 178*j**4\/15 - 4942*j**3\/15 - 43526*j**2\/15 - 38912*j\/5 - 25992\/5 = 0?\nAnswer: -38, -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - 2) + (23 - 21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 6694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {k: 8, o: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/126 + ((-94)\/18 - -1). Let v(s) be the third derivative of s**4\/8 + 5*s**3\/2 + 18*s**2. Let p(f) = -f - 4. What is l*v(n) - 15*p(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 t, and 1 m when four letters picked without replacement from {p: 3, w: 1, t: 5, m: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/10 + -149\/90. Sort 12, h, 0.1.\nAnswer: 0.1, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 - 1752?\nAnswer: -1751.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 95*p + 82. Let j be a(-36). Let d = 6511 + j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**2 - 88*r**2 + 15*r**2 + 39*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665 - 980 = -21*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 95. What is the closest to -3 in u, 2\/23, 3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11051 = 3*l, -5*g + 61554 = -4*l + 6261. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1766 - -1879. Is u at most as big as 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b. Let f(w) = -w**2 + 151*w. Determine f(u(o)).\nAnswer: -324*o**2 + 2718*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 3:28 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373 + -317. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -658, -0.5, 21, -8, 2\/9 in increasing order.\nAnswer: -658, -8, -0.5, 2\/9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)*k**(-1))\/(k\/(k*k**(-7)*k))**(-21) assuming k is positive.\nAnswer: k**(1877\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 401, 629, 857, 1085?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**5\/35 + 9*u**4\/28 - 5*u**3\/7 - 25*u**2\/14 - 18. Factor a(k).\nAnswer: -k*(k - 5)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -7 + 1\/9*a**3 + 1\/30*a**5 + 0*a + 1\/8*a**4 + 0*a**2. Factor q(y).\nAnswer: y**2*(y + 1)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -40*n + 20. Let u be z(5). Let c = 438 + u. What is the remainder when c is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/((-2)\/(-6)). Let y be (r - -5)*(1 - -1). Let z(d) = d - d**3 - y*d - 3*d**3. What is z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(((((m*m**(-3\/19))\/m)\/m*m)\/m)\/m))\/(m*m**(2\/23)\/m)*(m\/m**(-23))**(-2\/35) assuming m is positive.\nAnswer: m**(41289\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(270))\/sqrt(10).\nAnswer: -9*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -4*x - 2*n - n, n - 167 = -3*x. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + (1911\/78 - 18)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8144166*m - 13520651?\nAnswer: 8144166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 445553583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24951 - -24987. Solve -9229*z + 9238*z - n = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15750 = -2*v, -v + 16*u - 11*u + 7875 = 0. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - x - 1. Calculate the remainder when 17 is divided by j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3998.055 nanograms?\nAnswer: 0.000000003998055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*g = -88*g + 416024. What is the remainder when g is divided by 178?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/51)\/(2\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 39*z**3 - z**2 - z - 1. Let q be v(-1). Let t = q - -74. Suppose -o + 2 + 3 = -p, -4*o - 3*p + t = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000034081 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(68)\/(3*1*sqrt(4)).\nAnswer: sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -69, -112, -193, -324, -517, -784, -1137?\n\"Answer: -2*g**3 - g**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 4\/7 (b) 7\/5 (c) -70\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 14. Let f be ((-65)\/j - 5)*18\/(-4). What is the tens digit of (34\/f + 4)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3328) + sqrt(3328) + 4)**2.\nAnswer: 384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + l**2 - 2*l**2)*(-3 + 6 + l - 4)*(2*l - 5*l**2 - 2*l).\nAnswer: -5*l**5 + 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38267225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(68) - sqrt(68)*2) + sqrt(68) - sqrt(68)) + sqrt(68) - sqrt(68))*3)\/(sqrt(256)*-2*-6).\nAnswer: sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**3 - 3*r + 2. Suppose 0 = 2*g - 5*g + 12. What is the remainder when o(1) is divided by (g\/(2 + -3))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 13\/3)\/(34\/102). Put 2, -4, f, -1 in increasing order.\nAnswer: f, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 28, 0, -1.\nAnswer: -3, -1, 0, 26, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 27, -2, 3 in decreasing order.\nAnswer: 27, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 divided by 4?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 2\/(4\/14). Suppose 15 = -2*l + j. Sort 2\/11, 2, l.\nAnswer: l, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + (-3 - 14 - -5) - -62.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-319 + 471 - 307)*(2 - 1 + 1)*(4*x**3 - 6*x**3 - 2*x**3) as z*x**2 + t*x + a*x**3 + d and give a.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23905, -44841, -65777?\nAnswer: -86713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7249, -7676, -8103, -8530, -8957?\n\"Answer: -427*c - 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555*p - 35391 - 41340 + 28241 = 47920 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, -30, -117, -250, -435?\n\"Answer: -z**3 - 14*z**2 + 2*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 - -177. Suppose 7*v - 2*v - j = -p, 0 = 5*v - 25. What is the common denominator of p and -9\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {b: 10, s: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p - 12*p - 3*p**2 + 20*p - 5*p**2 + 3*p**2 + 4*p**2 + (1 - p - 1)*(p - 3*p + 0*p) to n*p**2 + w*p + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 5, w: 4, d: 1, f: 1}. Give prob of picking 2 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*s + 5, f + 5*s = -0*f + 16. Suppose 2*c + 7 = -1, 3 = 5*n + 3*c. Suppose n*z - f = 17. What is the greatest common factor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24379\/4969035 + -5\/4801. Are x and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57156.97ml in litres?\nAnswer: 57.15697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -140 (b) 10\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2703450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18869619?\nAnswer: 18869619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - -2*sqrt(315))\/(sqrt(63)*-2) + -3)*-5.\nAnswer: 35*sqrt(5)\/6 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*k - 12, 0*k = 3*k + 3*o + 9. Let b(q) = -11*q**3 + 1. Let j be b(-1). Let c be ((-2)\/j)\/(4\/(-6)). Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -5*i + 114. Suppose -p = -109 - i. Suppose 0*z - p = -4*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 2 (c) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84470 = 19*h - 84242 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237850 and 1055250?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Let x = 10 - s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*o, b + 6 = 5*b + 2*o. Solve i + 0 = -2*y - 3, -3*i = -b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = 3*q. Let r(s) = -s**2 + 5*s + 1. Let c be r(q). Let u(p) = -p**3 + 5*p**2 + p - 3. Give u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3932 and 23592.\nAnswer: 23592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 + 19*p + 283. Is 125 a factor of n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 10) in base 13?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 0.3, 0.01, 14\/11, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f - 32. Does 10 divide i(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -159, 5, -17, -42, 1 in descending order.\nAnswer: 5, 3, 1, 0, -17, -42, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 41 = 16. Suppose c*f = r + 15, -2*f = 4*r - r + 11. Find the third derivative of 15*g**3 - g**2 - 15*g**3 - f*g**5 wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2811083890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + x = -493, -3*d - 29*x = -30*x - 371. Which is bigger: d or 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j + 0*j)*((-4*j + 0*j + 20*j)*(3 - 4 + 3) - 1 + j + 1) + (-j + 3*j - 3*j)*(-3 + 2*j**2 + 3).\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(891)*2 + sqrt(891) + 1))**2 + -5 + 4 + sqrt(891) + 0 + sqrt(891) + 1.\nAnswer: 1962*sqrt(11) + 288720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**3 - i**2 + i + 1. Let h = 8 + -9. Let l be d(h). Let v = 22 - l. Solve 0 = 5*k - 0*x - 2*x - v, -3*k - 5*x = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/7 - 696*c\/7.\nAnswer: 6*c*(c - 116)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 83 = -74 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34143.\nAnswer: 3, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 343 + -405 - (0 + 0 + -1 - (-178 - -173))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 309*h**4\/4 - 173*h**2\/2 + 3*h + 405. What is the second derivative of m(g) wrt g?\nAnswer: 1854*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4085\/114 - 4 - 3\/(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/7)\/(4\/((-72)\/15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((0 + sqrt(425) - sqrt(425))**2 - sqrt(425)))*1 + 5*1*((sqrt(425) + 0)*-5)**2.\nAnswer: 15*sqrt(17) + 53134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875160 is divided by 423?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/f**(-2\/39)*f)*f))\/f**24 assuming f is positive.\nAnswer: f**(-934\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)\/h)\/(h**(-20)\/h)*(h**(1\/6))**(13\/4) assuming h is positive.\nAnswer: h**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6 + 0*p - 2*p - 7 + 45*p**2. Is 16 a factor of s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*l - 0 + 10, -4*l - 4 = 0. Which is the second biggest value? (a) -2 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141745189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*a = 4*r - 30, 3*r - 40 = 5*a. Suppose 0*g + r*g = 0. Solve 0 = 3*w - 3*j + 6, 2*w + 0*j + 2*j + 16 = g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a century in years?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 9) in base 6?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*r**3 + 114*r**4 + 70*r**3 + 184*r - 11*r**4 - 33*r**3 wrt r.\nAnswer: 1236*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 28*z + 374. Determine l(14).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13032 + -20221?\nAnswer: -33313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, -81, -270, -535, -876, -1293, -1786?\n\"Answer: -38*n**2 + n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 4. Let w(j) = j**2 + 1. Let m(a) = -3*a**3 + 4*a**2 - 4*a + 4. Let d(h) = n*w(h) + m(h). Find the second derivative of d(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124683 - -470798. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 35. Suppose 4*d + 20 = -q*i, -2*d + 36 = -6*d + i. Let w(t) = -5*t + 6. Let s(h) = 2*h - 2. Determine d*s(j) - 3*w(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107830\/(-2630)*(-1)\/287?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03965425 rounded to 5 decimal places?\nAnswer: 0.03965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1069 - -1068. Let q(l) = l**3 - l + 1. Let u(m) = 5*m**3 - 4*m + 4. Calculate h*u(s) + 4*q(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192809 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z. Let m(f) = -29*f - 6. Let r be m(-4). Suppose 2*a - r = -5*i, z = -3*i - 0*a - 5*a + 47. Solve 4*d - 4*k + i = 0, -4*d + 1 - 5 = k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**3 - 486*k**2 - 97*k - 35. Let c be y(-97). Which is greater: c or -126?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 3*b - 5*v - 84 = -8*v. Suppose -j - 4*a + 7 = 0, 0 = -3*j - 2*j - 3*a + 103. Let c = b - j. Solve 10 - c = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-3)*(-63)\/28. Let v be 4 + -4 + g\/(-2). Solve 4*o + 0*m + m = -6, -3*o = v*m + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 172748.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10000011 (base 3) to base 2\nAnswer: 100010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 436677.3ml in litres?\nAnswer: 436.6773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2*x**2 + 2*x + 3. Let a be t(3). Suppose -16 = -3*k - 5*v + 12, 2*k + 2*v - 20 = a. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 929.8328ml?\nAnswer: 0.9298328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 14*b - 1 = 4*l, -4*b - 2*l = -22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3*w**2 + 3*w**2)*(2 - 6 - 2) - 3*w + w**2 + 3*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -54.097. Let k = v + -1.097. Let x = -5.97 - 0.03. What is the nearest to k in 3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l)**(-40)*l**(5\/2)*l**(-2\/7)*(l\/(l**0\/l))**(-15)\/((l\/l**(2\/11))\/l*(l\/l**(-1))\/l) assuming l is positive.\nAnswer: l**(14075\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*o = 42, 2*l - 2*o = l + 15. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + j + 0 + 2 = 0, 5*h = -j + 14. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 - -430?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1791, 1800, 1821, 1860, 1923, 2016?\nAnswer: 2145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000094868 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 3. Let c = 8.4 + -6.87. Let w = -1.13 + c. Sort -0.1, p, w in increasing order.\nAnswer: p, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 580372 + -211.5114.\nAnswer: 580160.4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*w + 31 + 48*w**2 - 122*w**2 + w**4 + 88*w**3 + 2*w**4 - 80*w**2.\nAnswer: (w - 1)**2*(w + 31)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 992337450 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139 and 275637.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117374180?\nAnswer: 2, 3, 5, 13, 1432531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 27*t**2 - 50*t + 6. Calculate o(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - -7) + 26 + 0 + -33\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 528?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/420900 and 47\/4?\nAnswer: 420900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 2817 in decreasing order.\nAnswer: 2817, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7910 >= -7914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i**2 - 56*i - 15. Determine x(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 57*r + 29. Let y = 22 - 87. Let t = -57 - y. Is c(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23384 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 725439, 5803578, 19587089, 46428654, 90680955, 156696674?\nAnswer: 248828493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) - 1\/3. Let u(g) = g**2 - 8*g + 8. Let t be u(8). Let y(a) = t*a**2 - a**2 + a**2 + a. Give y(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let s(c) = -c**2 + 8*c + 5. Let j be s(8). Let p = 39783 - 39783. Solve 2*z = -q - p*z - j, l = -4*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*130\/91.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/65, -139\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -26. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 409*o**2 + 6*o + 15. List the prime factors of h(-4).\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*18*(-61)\/183.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:13 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3343*v - 351. What are the prime factors of y(1)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6)*-6)\/(4\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126203519 by -49279.\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 2*f)*(9 - 13 + 6)*(2*f + 6*f**4 - 2*f).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fms when three letters picked without replacement from ffscmsfsxfmf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383.7200288 - 383.7. Let i = s - 0.02. Round i to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + y + 3*y + (0 + 4 + 0)*(0*y + 2*y + 0*y) + 4*y - 2*y + y + (1 + 1 - 4)*(-y + 3*y - 4*y) + 17*y + 3*y + 51*y.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 146459670*p + 146459670*p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25044+-2\nAnswer: -25046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29620 - 859. What is the units digit of 2\/8 - v\/116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 11. Let b be 9 - -2 - (5 - 2). Let f be k(b). Let h(g) = g + 10. Let r be h(-7). Sort r, f, 7 in decreasing order.\nAnswer: 7, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -0*p - 16. Let j be 0*16\/(-64)*(-1 - -2). Suppose j = w - 8*w + 21. Solve w*s = -p*x - 1, -5*s + x = -s + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**3\/n*n))\/n))**(2\/29)\/((n\/n**10)\/n**(1\/10)))**(1\/6) assuming n is positive.\nAnswer: n**(2719\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 153\/4. What is the second smallest value in -0.2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 24*a**3 - 21*a + 21*a - 14*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + 3. Let c(r) = -13*r - 9*r + 31*r - 7*r. Determine s(c(h)).\nAnswer: 32*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144\/(20 + -2) + 1*(1 - 5). Let -3\/5*x**o + 0*x + 0*x**3 + 0 + 3\/5*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 48. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/955 or -1453\/10?\nAnswer: -1453\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -6, -10.07, -0.5, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13153644979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:19 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - n**2 - 3. Let c(r) = r**3 - r**2 + 1. Let u(y) = 2*c(y) + l(y). Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 11*u + 13. Let o be h(6). Let g = 961\/6 + o. Let w = 496 - 12402\/25. Sort g, 2\/13, w in increasing order.\nAnswer: g, w, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 51 + 26*r)*(0 + 2 - 4).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*-10.69.\nAnswer: -299.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 569 = -27. Let v = 2535\/17 + h. Which is the third smallest value? (a) v (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5106\/1349 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*i**2 - 21*i - 14*i + 64*i - 29*i.\nAnswer: 311*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) -3 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 56 = -3*r. Suppose -1 - 51 = -s. Suppose 5*o = 3*o + s. Calculate the remainder when o is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 6883.\nAnswer: 6881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k + 156 = 0. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9129718 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g**4 - 37 + 3*g**4 - 2*g**2 + 3*g**2 + 38 as r*g**4 + q*g + j*g**2 + v*g**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -608 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.137675, -154, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10 = -i, -i + 5 = i + z. Suppose c + x = 2*c, i*c - 2 = 3*x. Find the first derivative of -p**2 + 4*p**2 - c + 0*p**2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36575 and 110?\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i + 18*i - 10*i.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 6)*(4*k - k - 2*k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 44\/20)\/(4\/(-60)). Let w = 3 - -2. Suppose -w*o + 2 - 7 = 0. Sort 4, u, o in descending order.\nAnswer: 4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411.7937kg to milligrams.\nAnswer: 411793700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1113, -2370, -3765, -5298, -6969?\n\"Answer: -69*r**2 - 1050*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -3\/19, 6.02, -5, 2\/9, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6179 (b) -1 (c) -0.11 (d) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.06939 tonnes in milligrams?\nAnswer: 47069390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3070*-3.\nAnswer: 9210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l - 256*l - 9417 = 83*l - 3888 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/3))**(-35) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494 a factor of 66513760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*v - 48, 4*v - 48 = -0*h - 5*h. Suppose 0 = -v*f + 8*f - 5064. What is the units digit of (-3)\/9 + f\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 3*x - 8. Let l be o(6). Suppose 8*s - 3*s - l = 0. Differentiate -s + 4 + 2 - t - 2 with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125794515 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 + 206 - 206.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 = -58*l + 5792 - 2341 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741526750 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4929*n - 29696. Calculate v(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 31, 54, 85, 124?\n\"Answer: 4*x**2 + 3*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7363\/5, -7, -1 in descending order.\nAnswer: -1, -7, -7363\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066.482167 rounded to one decimal place?\nAnswer: 2066.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 69*t + 31. Let k(p) = -16*p - 8. Calculate 9*k(r) + 2*s(r).\nAnswer: -6*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 26 (b) -3\/8 (c) 1\/3 (d) -13.1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b - 857. Calculate j(78).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079133 divided by 297019?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24 + 0)\/3 - (-240)\/60. Suppose -1077*z = -1080*z + v. What is c in 0 + 0*c**2 + 0*c + 4\/9*c**z + 4\/9*c**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48\/5 - 49\/5. Let v = 12439 + -12438.5. Which is the smallest value? (a) q (b) 11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37152.04mm in nanometers?\nAnswer: 37152040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*n + 145*n + 15, -5*z + 3*n = -2409. What is the highest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158211 rounded to the nearest one thousand?\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 19*w**2 - 21*w + 54. Let u be x(18). Let k(o) = 3*o**2 - 4*o - 3. What is the remainder when (3\/(-1))\/(1 - u) - -87 is divided by k(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - 1*sqrt(78)))*-6 + sqrt(78) + (sqrt(78) - ((-2*sqrt(78) + sqrt(78))*1 + sqrt(78))))\/(sqrt(600) - -5*sqrt(600)*2 - sqrt(600)).\nAnswer: -sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from tzpztpzpp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/37 - 118\/111. Let w be 5\/21 - (-3)\/9. Let p = -3 - -6. Put w, p, i in decreasing order.\nAnswer: p, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23666108 - -1159497?\nAnswer: 1159497.23666108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -394 + 398. What is the smallest value in -2\/93, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 13. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + -0.38. Let m be 3\/2*(4 - 2). Let h = 0.8 + -0.3. What is the closest to -2\/7 in r, h, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 842000*m = 0. What is m?\nAnswer: 0, 210500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 815927, 1631768, 2447609, 3263450?\n\"Answer: 815841*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 11*y**2 - 11*y + 11. Determine t(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -1056b?\nAnswer: -10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -257c6 + -1675?\nAnswer: -2705b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -368528, -368541, -368578, -368651, -368772, -368953, -369206?\n\"Answer: -2*s**3 + s - 368527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 n when three letters picked without replacement from {q: 4, n: 6, g: 1, m: 1, x: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -210.9999815. Round j to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let f = -252 - -251.9. What is the smallest value in -4, u, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 552914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59378 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35805 is divided by 4462?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-770))\/(444\/1628)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - a - a)*(0 - 5 - 28) as h + i*a and give i.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (sqrt(448)*-1*-5 - sqrt(448)) + sqrt(448) - sqrt(448))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648515, -1297029, -1945541, -2594051?\nAnswer: -3242559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 + 4*t - 4. Let d(l) = -3*l**3 + 5*l**2 + 11*l - 11. Let j = 453 + -310. Let a = j + -147. Determine a*d(r) + 11*c(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 549328529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - (285 - 280)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 324*s - 3255. Give d(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:01 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 + i + 3. Let o = 5 + -5. Let j be y(o). Sort -2, j, 2 in decreasing order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 - 3*j. Let o be s(2). Suppose 4*a + o*f - 31 = -a, 0 = 3*a + f - 18. Calculate the least common multiple of 6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 3*p. Let s be d(4). Suppose 0 = 2*c - 2*j - 3*j - 42, -4*c + 40 = j. Let l(k) = 0*k - 17 + 5 + c + k. Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3255*t**2 + 10305*t**2 + 72*t**2.\nAnswer: 13632*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*w**2 + 778*w**2 - 5*w**3 - 5*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.112747813715657.\nAnswer: -0.612747813715657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 6*x - 2*x. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 514 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43682.57t in milligrams?\nAnswer: 43682570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q + 1\/24*q**4 - 1\/3*q**3 - 3\/2*q**2 + 1 + 1\/60*q**5. Let f(a) be the second derivative of b(a). Factor f(s).\nAnswer: (s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(2\/(-2)*(-2)\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1836)\/85)\/((-1)\/((-40)\/(-6))) is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6, -2*d + 16 = -18*s + 19*s. Sort 143, s, -4 in descending order.\nAnswer: 143, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -139, -630, -1471, -2662, -4203, -6094, -8335?\n\"Answer: -175*k**2 + 34*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1331 + 0.2331. Let d be (-2)\/(-10)*(-2)\/1. What is the closest to d in 0.13, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/3)\/(4 + -2). Suppose -5*g + 5 = -5*b, -3*b - g = 2*b - x. Solve 0 = -2*r + 2 - b, -2*i - 2*r - 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20278325?\nAnswer: 5, 443, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/75 + 4*j**4\/5 + 96*j**3\/5 - 33*j**2. Factor f(r).\nAnswer: 4*(r + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410224 = 3437*b - 523645 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716272859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 24*l + l)*((l**2 + 0*l**2 - 3*l**2)*(-3 + 3 + 2*l) - 2*l**3 - 2*l + 2*l + 5*l**3 + 10*l**3 + 12*l**3).\nAnswer: -609*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 0, 0.2, 1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2305, 4614, 6923?\nAnswer: 9232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32200202 + -22?\nAnswer: 32200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/2 - 4085*m**2 - 8185*m\/2 + 8175.\nAnswer: 5*(m - 1635)*(m - 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 100*k**2 + 803*k + 24. Let j be c(-8). Solve 5*a = -2*h + 25, 3*h = -j*h - a + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177007 (base 8) to base 5.\nAnswer: -4040111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08583 and -54.\nAnswer: -4.63482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -0*f. Suppose 9 = -3*i + f*u + 35, -5*i + 54 = 2*u. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1232141 (base 6) to base 3\nAnswer: 10101100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 5 (c) -4.7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 1816\nAnswer: 12712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 270 + -1354\/5. Let x = 236 + -441\/2. What is the common denominator of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164786 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -29, 17 in ascending order.\nAnswer: -29, 4, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 4, 1414, -5, -4\/11.\nAnswer: -5, -4\/11, 1\/3, 3, 4, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191550, -192300, -193050, -193800?\nAnswer: -194550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12206 or -12205?\nAnswer: -12205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2613454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12120 (base 3) to base 10\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/15 + 6\/15. Let y = 4\/81 + 134\/567. Which is the nearest to -1? (a) -0.3 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 119210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 1, v: 10, y: 5, j: 1}. What is prob of sequence vy?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/3)*a**(1\/17)*a**(6\/13)*a**21*a assuming a is positive.\nAnswer: a**(16036\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 45. Let s = z - 43.88. What is s rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11852, -23725, -35610, -47507, -59416, -71337?\nAnswer: -83270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 16. Let t be l(4). Suppose t*w = 6*w + 26. Solve -a - 5*u = -w, -10 = a - 4*u + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114675 and 4288150?\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/20 - 16*m**2. Let v(i) = -6*i**2 - 4*i. Let s(t) = 13*t**2 + 9*t. Let a(g) = 4*s(g) + 9*v(g). Calculate a(j(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (14 - (23 + -15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 257*h - 268*h + 44. Put h, -2, 8, -3 in decreasing order.\nAnswer: 8, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2092, 7822, 17372, 30742, 47932?\nAnswer: 68942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 1843 + 16329. Find the second derivative of -648*o - 647*o + 26 + t*o + 29*o**4 wrt o.\nAnswer: 348*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*s**2 - 52*s - 1 + 52*s.\nAnswer: -86*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -41*y**3 + 11*y - 11. Let j(r) = -10*r**3 + 3*r - 3. Determine -6*h(u) + 22*j(u).\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -c + 6, 4*c + 9 = 2*h - 3. Let n(j) be the third derivative of -j**3\/6 - 4*j**2. Let y(o) = -o + 4. Let u(a) = h*y(a) - 7*n(a). Calculate u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*s**4 - 44*s**2 - 324?\nAnswer: -56*s**3 - 88*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*q - 2*p, q - 24 = -0*q + 5*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/11)\/((-1)\/1531). Let r = u - -142112\/143. Let h = -259 - r. What is the biggest value in h, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2094.94 - 2095. What is the smallest value in l, -2, -1\/5, 0.2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.073 + -0.127. Which is the nearest to -36? (a) q (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - p)*(4*p + p - 6*p) - 5*p**2 + 5*p**2 + 8*p**2 + (-3 + 0 + 1)*(-6*p**2 + 3*p**2 + 2*p**2).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -874*t + 113*t**5 + 57*t**5 + 241*t**5 - 108*t**5 wrt t?\nAnswer: 6060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87351\/32 at least 2729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*h = 144*h + 2*k - 74, -h = 5*k - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3363.795 + 3382. Let d = t - -0.095. Let u = d - 18. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*u + 548730 = 6780*u + 874*u for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1147167 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.25167364 plus -12?\nAnswer: -15.25167364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73133140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 - 0.01. Let m = 36.055 + -0.055. Let c = m + -35. Is c less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggsggsggggg. Give prob of picking 1 s and 2 g.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 1. Let l(t) be the third derivative of -t**4\/24 - 3*t**2. Let r be l(2). Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 97 - 244. Let p(b) = -2*b - 48. Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 0.1 (c) -13\/44 (d) 2 (e) -0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4460?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 1294*z**2 - 1140*z + 101085. What is o(-648)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 2*g + 30. Let r(p) = -12*p**2 + 3*p - 59. What is -3*r(u) - 5*z(u)?\nAnswer: 6*u**2 + u + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1137 and -4.\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/4, -4\/31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2050, 4447, 7564, 11761, 17398, 24835, 34432, 46549?\nAnswer: 61546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44510283*d*r**3 - 35*d*r**2 + 26953*d*r wrt r?\nAnswer: 267061698*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 642. Suppose 5*w = -f - b, 4*f = -w - 19 - 20. Let u = -30 - w. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l - 20*l + 180 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 divided by -248?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54584.06 rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7) + 6 + 1 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 91*p**2 + 8 - 15 + (-p + 0*p + 0*p)*(0*p - 3*p + 5*p).\nAnswer: 89*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + r - 7556 = 0, -l - 1060 = -9*r + 4*r. Let h = l + 2568. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/23 - 1979\/414. Let a = 1961 - 11653\/6. Find the common denominator of v and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*i = 104, -4*j + 2*i + 114 = -i. Suppose -9*o = -3*o - 1134. Calculate the highest common factor of o and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*c**2*h**2 + 208*c**2*h - 2*c**2 - 3*c*h + h**2 + 8984*h wrt c?\nAnswer: 310*h**2 + 416*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 91*h - 819. Calculate f(83).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 + 5*h**4 + 12*h**3 - 5*h**2 - 25*h\/2.\nAnswer: h*(h - 1)*(h + 1)*(h + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - (-5 - 1)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -5, -32, 4, -23 in ascending order.\nAnswer: -32, -23, -7, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.167349 + -0.9.\nAnswer: -1.067349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1922 and 2670154.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {d: 3, f: 13, j: 2}.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26355029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/5*-4 - 42\/(-10). Let t = 611\/18 - 205\/6. Which is the nearest to 1? (a) h (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7728 divided by -6?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/(a*a\/((a**(4\/7)*a*a*a)\/a)*a))\/(a\/a**(-1\/2))**(-45))\/((a\/(a*(a**0\/a)\/a*a))**(-1\/22)*(a\/(a**5*a))\/a**(-6)) assuming a is positive.\nAnswer: a**(4783\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 123. Calculate the remainder when 52 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = 5*t - 4*f, -t = -3*f - 92 - 48. Suppose m - x = t, -208 = -m - 2*x - 65. What is the remainder when m is divided by 2 - (-2)\/((-4)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 11, v: 5, g: 1}. What is prob of picking 1 v and 1 k?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 1\/9 (c) -3 (d) -116 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.9 - 10.4. Which is the nearest to -0.04? (a) 0 (b) -3 (c) r (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -208\/111?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -217558.\nAnswer: -130\/108779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*t - t - 18 = 0, -2*t - 27 = -5*k. Let g = -21 - -20. Sort -1\/5, g, k in decreasing order.\nAnswer: k, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(99) + sqrt(99) - sqrt(99))**2 + 6*3*sqrt(99) + -2.\nAnswer: 98 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 3\/((-114)\/(-4)). Let a = -0.8 + 0.3. Let j = -0.3 - a. Sort 0.4, r, j in increasing order.\nAnswer: r, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - 70\/(-9). Let n = -1108 + 1108. Solve n = -5*x - m - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 39 = 129. Suppose 0 = -5*x + 38 + b. List the prime factors of (x\/(-5))\/(10\/(-75)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -6 (c) -253 (d) -5 (e) 1\/2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2619978 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451260 is divided by 150407?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/2857 and -7\/6227?\nAnswer: 17790539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1513, -7, 1, 5, -1.\nAnswer: -7, -1, 1, 5, 1513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1336\/603547 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2 - 5 + 3 - 5*l**2. Let n(a) be the second derivative of -a**4\/12 - 3*a. Determine q(n(g)).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.06. Let f = o + -0.51. Which is the closest to 1\/2? (a) 0 (b) -2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895897 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1651 - 1649. Solve 2 = 14*r + j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/12 + 7*x**2\/4 + 6*x + 741. Factor y(i).\nAnswer: (i + 2)*(i + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12))\/(34\/8). Let t = 13.4 - 13. Sort t, 8, q in decreasing order.\nAnswer: 8, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**8\/20160 + v**7\/1260 + v**6\/240 + 29*v**5\/60 - 36*v**2. Let t(q) be the third derivative of k(q). What is t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 2 - (-13 + 38 - 12) - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*b**5 + 29966*b**2 - 20040699*b.\nAnswer: 1640*b**3 + 59932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 1. Let l(c) = 20*c - 7. Let b(k) = -60*k + 20. Let y(s) = -3*b(s) - 8*l(s). Let m(q) = -24*x(q) - 5*y(q). Give m(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28363072 to the nearest integer?\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/15*x**2 - 2\/15*x + 0 - 2\/15*x**3.\nAnswer: -2*x*(x - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 4 + -2 + (393 - 203) + -252?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 8, i: 1, s: 7}. Give prob of sequence asi.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -m, -9*m + 4*m = -2*p - 16. Let g be 24\/m + 429 + 4. Round g to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)*s**5)**(1\/14)*(s**(-1\/4)\/s**(3\/5))**(-28) assuming s is positive.\nAnswer: s**(849\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/48 and -23\/114?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j - 3*c - 0, -3*j + 15 = 3*c. What is the closest to 1 in 4, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q**7)\/((q*q\/q**0)\/q**(5\/4)))\/((q**(1\/4)\/q)**(1\/12)*((q**(-5)\/q)\/q)\/q**(-8)) assuming q is positive.\nAnswer: q**(117\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -72, -124, -176, -228, -280?\n\"Answer: -52*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 + v + 2. Let h be (-2 + (-4)\/6)*6\/(-8). Determine t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936878481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Let f be (501\/2)\/(7\/y). Let d = f + -555\/7. Are -9 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -7.7517?\nAnswer: 46.5102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/((-21)\/(-105)). Is 4 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + f + 57 = 2*m, 0 = -3*m - 5*f + 14. Suppose -m*j + 15 = -8*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85882.4 micrometers in nanometers?\nAnswer: 85882400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*m = -18, 0 = -21*p + 5*m - 305 + 116 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 23*w**2 - w + 73*w**2 - 2 + 9*w**2 + 5*w**2. Let i be u(2). Suppose 2*n + 3 = 5*n, 0 = -3*p - n + i. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t + 16 = 94*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-25549.\nAnswer: -76647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -23 - 26 - -24) + (3 - 38).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11052012 and 9210010?\nAnswer: 55260060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/25557078 and 16\/9?\nAnswer: 76671234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z - 108. Let f be b(12). Suppose 0 = -f*a - 39*a + 2574. Calculate the remainder when a is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 1. Let j be v(-1). Suppose -2*a + j*x + 9 = 0, 4*a - 17 = 4*x - 5. Put 5, -3, a in increasing order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165108008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4912*p + 13168. Is 64 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 48 = -36. Suppose 4*w - w = x. Let l be w\/((-21)\/(-11520))*1250. What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 25 = -2*x + 5*t, -x + 5 = t. Suppose x = f - 3 - 21. Suppose 5*v = -5*o + 71 + f, -3*v = -2*o - 47. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168777631.\nAnswer: 11, 15343421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z + 2. Let v(m) = 25*m - 30. Give 40*q(t) + 3*v(t).\nAnswer: -5*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 0.0423558886417?\nAnswer: -6.0423558886417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 13*g = 41, g + 43 = y + 56. Let c(z) = 14*z**2 - 3*z. Let u(r) = -41*r**2 + 8*r. Calculate y*c(m) - 3*u(m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -510217, 90, -0.1?\nAnswer: -510217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -576909.356 to the nearest one hundred.\nAnswer: -576900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7*q + 10 = 3*q, -2*l + 16 = -q. Let f = -71 - -82. What is the smallest common multiple of l and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:51 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 10:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + a - 2. Suppose 2*q + 6 = 2*t, t = 3*q + 8 + 1. What is the units digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414873 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2556 - -2561. Suppose -4*p - 3*x = -6552, -8852 = -5*p - 4*x - 661. Suppose -t*b = -2*b - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 3058240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, f: 5, t: 4}. Give prob of picking 2 i.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(4\/36*(-9)\/6). Suppose 10 = -2*l + q. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118629448.6 to the nearest 1000000.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81494, -162910, -244326?\nAnswer: -325742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -14032443132?\nAnswer: -14032443121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j. Let a(u) = u. Determine -4*a(o) - 2*m(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 5:38 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260, -1244, -1192, -1092, -932?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, -317 in descending order.\nAnswer: 17, 0, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + 2 + -5.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32\/3? (a) 1 (b) -1 (c) -5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:33 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 6. Let y(r) = j + 3*r**2 + 1 - 4*r**2 + 5*r. Let f be y(6). Which is the second biggest value? (a) f (b) 1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0*q - 4 + q - 2*q - 5. Let z be f(-4). Let k(u) be the first derivative of -u**3\/3 - 2*u**2 + 4*u + 2. Calculate k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*s = -9, 2*s = -7*t + 8*t + 6. Solve t = 3*m + 4*r + 5, 0 = -0*m - m + r - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7512.0309 - 7515. Let j = -0.0009 + t. Round j to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869886191?\nAnswer: 3, 479, 1301243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021489 to the power of 1\/2, to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Calculate the remainder when 38\/(-14) + 3 + (-117)\/(-7) is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a921 (base 11) to base 16.\nAnswer: -3856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3328, -26538, -89538, -212224, -414492?\n\"Answer: -3316*w**3 + w**2 - w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2\/2 + 5*x + 1. Let z be c(-3). Suppose -z = -f + 1. Calculate the least common multiple of 7 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*d**3 + 0 + 0*d - d**2.\nAnswer: -d**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159643 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.93 and -0.2?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*t + 3. Let v = 8 + t. Let z be v - -3 - (4 - 7). Solve -z*f = 4 + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 931 (b) 3 (c) 4 (d) -3 (e) 5\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, 46, 142, 286, 484, 742?\n\"Answer: w**3 + 15*w**2 + 2*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509987*c*d**2 - 3*d**2 + 13396*d - 1 wrt c.\nAnswer: -509987*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Let x = 21 - 41\/2. Which is the closest to -2? (a) 0.4 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 8*x + 2. Let q be h(8). Suppose -3*p + 9 = -z, 6*p - q*p = -3*z - 1. Solve 2*d + 4 = -p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 75817.\nAnswer: -5\/75817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-4)\/(-11). Put 6, i, -3 in decreasing order.\nAnswer: 6, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*c - 38 + 38 - 200*c + 95*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 4*q + 2. Let n be b(2). Solve 0 = -4*g - n - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 4\/81937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 110. Let v = -65\/3 + h. Which is the closest to -1? (a) -1\/2 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52584646.\nAnswer: 2, 331, 79433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 + 5*l - 7. Let k be x(-6). Let f = 0.01 - -0.99. Let r = 2 + f. Which is the second biggest value? (a) k (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 - 7*g - 6. Let f(n) be the third derivative of -n**4\/24 - n**3\/6 + 366*n**2. Give 6*f(j) - k(j).\nAnswer: j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = 2*f, -5*q + 0*f - 20 = 5*f. Let a = -22.1 - -19. Let z = -0.1 - a. Put 0.5, z, q in decreasing order.\nAnswer: z, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3. Let m(q) = -13*q + 13*q - q**3. Let n(i) = -7*i**3. Let t(f) = 10*m(f) - 2*n(f). What is 5*t(g) + 6*y(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3 - 4) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 1026020?\nAnswer: 13338260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1723 = 2*h, 4*o + 5*h - 1226 = 1069. List the prime factors of o.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 15. Suppose 2*m - v*b = 0, -2*b - 2*b = -2*m - 2. Suppose w + 0*w = 5*g - 16, -4*g + 28 = m*w. Are g and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/16 - (-1537)\/1044 - 0\/(-4).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29590\/22*(1 + 15\/(-25)) is divided by 268.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 75. Let v be (-1)\/(18\/4)*-1. Which is the closest to 1\/4? (a) x (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.148? (a) 1\/16 (b) -1\/2 (c) 941 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 160464?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 8, -3 in decreasing order.\nAnswer: 8, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (3 - 15) + -14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2391956?\nAnswer: 2, 7, 85427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/(-198) - 50\/(-9). Let n(c) be the first derivative of -17*c**3\/3 - 13*c**2\/2 + 13*c - 1. Let y(b) = 4*b**2 + 3*b - 3. Determine l*n(d) + 26*y(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 845.1528 millennia?\nAnswer: 10141833.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = -5*r - 0, -4*r = 3*a + 32. Let l(h) = -5*h - 132. Let p be l(-26). Sort a, p, -5 in ascending order.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586534 is divided by 320.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/9))**(-4\/5)\/(((j**4\/j)\/j)\/j*j*j**(2\/15)*j))\/((j*j\/(j*j**(-8\/3)))\/j**(1\/3))**(-30) assuming j is positive.\nAnswer: j**(4331\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 2*p**5 - 2*p**5 + (2*p**2 - p**2 + p**2)*(-739*p**3 + 271*p**3 - 1413*p**3).\nAnswer: -3766*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m - 4. Suppose 11 = -0*a + a - m*n, 5*n + 25 = 0. Is a + 22848\/49 - (-2)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(15\/(-4))\/(-5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 3*b. Suppose -20 = -b*y - 0*y. Solve -6 = -y*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284279469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**3 + 192*c**2 - 5*c - 143. Let a be t(-32). Solve -a*u = -269 + 303 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 120. What is the remainder when 0 + 1*75*(-10)\/(-15) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 4*u**3 - 8*u**2.\nAnswer: 4*u**2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*r - 254758 - 201182 = 0. Calculate the remainder when r is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f = -121572 + 118260 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/9*(-18)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7649, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249.57 - 251.3. Which is bigger: -0.4 or n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f. Let h be -5*((-104)\/10 - -3). Let x(u) = 5*u + 9*u - h*u + 0*u + 5*u. Give x(j(n)).\nAnswer: -90*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/13, -0.0882, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -157*b**7\/42 - 407*b**3\/6 + 194*b. What is the second derivative of l(a) wrt a?\nAnswer: -3140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 92*g + 183. Let p be j(2). Suppose 3*w + 3*c = 15, -4*w + 2*w + 6 = -2*c. Solve -p*z = 2*l - 8, -2*l + 0*z - w*z = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -362 - -311. Which is smaller: -249\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 183458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -41. Let c be 29\/203 + (-279)\/b. Calculate the remainder when 101 is divided by 166\/8 + 10\/c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8367836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/166 - -291\/6806. What is the closest to f in 0, 1\/3, 1.8, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - s - 11 = 0, 4 = 5*j - 4*s + 5. Suppose k - 12 = j. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 - 7*k - 3. Let t be p(-3). Let u(c) = -c - 3. Let g be u(t). Let w be 20\/g*(-3 + 0). Solve -3*o - o = w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4919, -4918, -4917, -4916, -4915?\n\"Answer: f - 4920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180065, -360094, -540119, -720140, -900157, -1080170, -1260179?\nAnswer: -1440184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 282, 226, 160, 84, -2, -98, -204?\n\"Answer: -5*d**2 - 41*d + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 174, -4, 1 in decreasing order.\nAnswer: 174, 18, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 29. Let d(r) = r**2 + 7*r + 5. Let h be d(j). Put h, 6, 3 in decreasing order.\nAnswer: 6, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/8)\/(1\/4). Let z(b) = -1 - b - 3 + 4. Let x(d) = 20*d. Let s(m) = -13*m. Let j(q) = -8*s(q) - 5*x(q). Determine p*z(a) + j(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*g**2 + (-4*g**2 + 3*g**2 + 3*g**2)*(1 + 1 - 3) + 0 - g**2 + 0 + 428*g**2 + 140*g**2 + 113*g**2 + 305*g**2 as o*g + l*g**2 + i and give l.\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (18\/36)\/((-2)\/(-6)*-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1, g: 7}. What is prob of sequence ai?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 7 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 + 272*m\/7 - 160 = 0. Calculate m.\nAnswer: -140, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Suppose 0 = -2*h - 2*h + p*b - 6, 9 = -h - 2*b. Let m be 4\/h*4\/24. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*a - 34*a + 7012 - 6228 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-8)*(0 + (-12)\/(-15)). Factor 1\/4*u**3 + 0*u + 0 + 0*u**f.\nAnswer: u**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 7*u + 3*u - 3*u**2 - 22*u**2.\nAnswer: -27*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r - 38*r = -o + 23, 3*o + 4*r - 29 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {j: 1, e: 7, v: 2, u: 2}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 - u**4 + (2*u + 0*u**2 + 0*u**2 - 2*u**2)*(-26*u**2 + 151*u**2 + 61*u**2).\nAnswer: -373*u**4 + 372*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2712888, 2712876, 2712864?\n\"Answer: -12*c + 2712900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w. Let u(p) = p**3 - 8*p**2 + 9*p - 2. Let h be u(7). Solve 5*b - 13 - h = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**5 - 11414*y**4 + y**2 + 19*y + 1316?\nAnswer: -100*y**3 - 136968*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10494, -24374, -38240, -52086, -65906, -79694, -93444?\n\"Answer: z**3 + z**2 - 13890*z + 3394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 29*b + 4*b. Suppose 2*k + 3*n = 30, k + 4 - 19 = -2*n. What is the remainder when k is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 13*n - 6. Let o(l) = 50*l**2 + 92*l - 44. Determine 44*h(r) - 6*o(r).\nAnswer: 8*r**2 + 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/300*1)\/(2\/(-54))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -12, 84, 232, 450?\n\"Answer: 3*d**3 - d**2 + 44*d - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 206*m - 199. Let j(u) = 135*u**2 + 5565*u - 5370. Let d(w) = 2*j(w) - 55*x(w). Determine q so that d(q) = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 8580?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2680 = 170*f - 150*f. What is the remainder when 247 is divided by f?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s - 33*s + 8*s + 10*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93379, -93364, -93349?\n\"Answer: 15*l - 93394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*3\/((-3338748)\/4915799). Let n = 2\/13249 - o. Let p = -608156\/33 - -18431. Find the common denominator of n and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297398119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 49619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14718033 divided by -22.\nAnswer: -1338003\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-206.1\nAnswer: 82.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 44512?\nAnswer: 400608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14262997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t + 2*t - t - 8 + 3*t. Let q be c(-6). Suppose -15 = -q*s - s. Solve 5*f + p - 29 = 0, -1 + 13 = s*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 15 + 14*a**2 + 20 - 2*a to the form o*a + p + y*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - -1 - (112 - 113)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 2*77*(-24)\/336?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8*9)\/((-6)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let b = -0.17 - -0.1. Let u = b + 0.07. Is n at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -313, -5, 2 in descending order.\nAnswer: 2, -5, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001330345 to 6 decimal places.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 342\/15 - 2\/(-10). Let l = z - 10. Solve 2*j + l = -o, -2*j - 4*o - 1 - 21 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 233512.001 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4600339439748 + 4\nAnswer: -4600339439744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h + 1. Let j(l) = -10*l**2 + l + 1. Suppose 0*g - g - 18 = 5*q, -q + 2 = 3*g. Let z(s) = g*n(s) - 2*j(s). Let m(k) = 2*k**2. What is z(m(x))?\nAnswer: 88*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-105))\/1 - (-5018505)\/525?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*((-24)\/3)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15 - -10)\/(-1*1). What is the closest to -5\/3 in 1\/2, -21, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2)*-2)**2 + (-1*sqrt(20))\/sqrt(10) - (-2 + sqrt(8) - (2 + sqrt(2)*-2 - sqrt(2))).\nAnswer: -6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + u + 2*u + 6*u)*(0 - 51 + 220 + 221).\nAnswer: 3510*u - 1560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2805833, 2805823, 2805813, 2805803, 2805793?\nAnswer: 2805783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4635aa (base 14) to base 8\nAnswer: -11076162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36676*p - 36679*p - 62 = -2*b, 5*p - 520 = -15*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 5. Let u be -1*3*14\/(-21). Suppose f = -5*w + 10, 5*w = -u*f + 21 - 6. Let g(x) = -2*x + 4. Give f*g(n) - 4*h(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -1102\/71, -1\/2, -0.2?\nAnswer: -1102\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let a(t) = -t - 2. Let z be a(3). Let r be 2 + (12\/z - 0). What is the nearest to -0.1 in p, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqgqg. What is prob of picking 2 q and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*g - 10. Suppose 2 = -5*s - 4*p, -4*s + s - p + 3 = 0. Solve -k = -4*v - 18, 3*k = s*k + 5*v + g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1.65054 (c) -184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-41)\/(z*z\/z**(-26\/9))*(z*z*z\/((z\/((z**(-5\/7)\/z)\/z*z)*z)\/z)*z)\/((((z**(-1\/66)*z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-59027\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h. Suppose -6*z + 2*z - 2*p + 472 = 0, -3*z + 355 = p. Let m(t) = -94*t + z*t + 1 - 1. Determine m(g(c)).\nAnswer: 75*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*y + 21, -5*u - y = -86 - 19. Suppose 0 = -0*i + 7*i - u. What is the derivative of 3 + 0*a**3 - 1 + 3 - 11*a**i wrt a?\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.92?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.47 in -1, 10, -1\/687, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 119?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -19581.35 to the nearest 10.\nAnswer: -19580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-30))\/(9\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 265574628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/39701 and -59\/90354.\nAnswer: 2620266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 983674807 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 16*i + 1. Let z be p(-16). Let b be (1 - z)\/(1 + 0). Solve b - 2\/13*g**3 - 4\/13*g**2 + 0*g = 0 for g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 188989 and -17.\nAnswer: -3212813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -16248\nAnswer: -16248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r - 31. Let s be y(10). Let g be 3 - (47091\/(-74277) - s). Let j = g + -4\/917. Find the common denominator of 145\/6 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1216 and 47462.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11198 by -1.\nAnswer: -11198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 1110101101?\nAnswer: 1110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*l - 70 + 61, 5*l - 27 = -2*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 91248837044450*h**2\/9 + 27018340*h\/9 + 2\/9 = 0.\nAnswer: -1\/6754585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g. Let o be a(1). Let b be (-9)\/3*10\/(-6). Let d be 9\/(-27) + (-1)\/(-3). Solve 3*x = m + o, b*m + 3*x = -d*m + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69428008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -x - 0, 5*x + 2*t = -175. Calculate the common denominator of 17\/10 and x\/(-16) + -3 + 3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hleljle. Give prob of picking 1 e, 1 j, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/2 + 3*u**2 - 2*u - 1. What is the first derivative of x(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(17) + 1)*5)**2) + sqrt(17) + sqrt(68)\/sqrt(4)*-1.\nAnswer: -450 - 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 189144.3ml in litres?\nAnswer: 189.1443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 - 738*z**4 + 4341*z**3 - 5022*z**2 - 4344*z + 5760 = 0?\nAnswer: -1, 1, 2, 4, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - f**4 - 4*f**2 + 34*f**2 + 3*f**3 to the form o*f + z + q*f**4 + s*f**2 + g*f**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -11*t, t - 6*t = -5*y - 4 - 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**3 - 13*r**2 + 7*r + 22. Let k(o) = -4*o**3 + 12*o**2 - 6*o - 20. Let d(w) = -6*k(w) - 4*y(w). Factor d(z).\nAnswer: 4*(z - 4)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 - 136. Let m(f) = -15 - f - 4 + i. Give m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*a = 131*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258085978570981.7000017 + -258086008915645. Let p = s + 30344661. Let c = 2.3 + p. Round c to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 28*p + 2*p + 90 = 18*p - 3*p, 0 = -4*j + 4*p + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 108, 143, 178, 213, 248?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8925 and 139\/18?\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1323 + 6523. Suppose -g = -2*u - 0*u. What is u rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -87*a + 577 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - t + 11 = -31, -2*o = -t - 33. Is (-2)\/(-10) - (-1107)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k + 127 - 527 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185958 is divided by 30992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39477*f**3*v**3 + 21*f**3*v**2 - f**2*v**3 - 246*f**2*v**2 - 6*f**2 + f*v**2 + 46 wrt f?\nAnswer: 236862*v**3 + 126*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -29, -0.4, -3\/5 in increasing order.\nAnswer: -29, -3\/5, -0.4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4092954461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3635.4 times 12.9?\nAnswer: -46896.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 73*t**2 + 1. Calculate o(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + 0.2. Let t be (-297)\/(-108) - (-2)\/40. Is t < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in -2, 58, 2\/7, 4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 8\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 27510.\nAnswer: 27510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - 121. Let d = 157 + j. What is the remainder when 28 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/41324126 and -45\/209?\nAnswer: 454565386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14248*l**3 + 598 - 598.\nAnswer: 14248*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 3)*(32 + 0 + 1)*(-9 - 26 - 2) - 5 - 8 - 3)*(2*t + 5*t - 5*t) as x + g*t and give g.\nAnswer: -4916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 19*u**2 + 45*u - 66. Let h be q(21). Let b(r) = -9*r - 3. Let x(j) = 4*j + 1. Let n(y) = 2*b(y) + 5*x(y). Determine n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**2 - 1566*j + 0*j**2 + 1311*j to v*j + p*j**2 + b and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332310 + -1112?\nAnswer: 10331132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1229677 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397 divided by -5?\nAnswer: -3397\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*p**2 - 17*p**2 - 53*p**2)*(-139 + 275 - 126)*(4*p**2 + 0*p**2 - 5*p**2) as f + o*p**2 + r*p + b*p**4 + n*p**3 and give b.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 7*y + 9. Let h be a(4). Find the first derivative of -4*j + 4 - h*j**4 + 4*j + 16*j**4 wrt j.\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9019 = -39901. Suppose y - b - 2054 = b, 0 = 5*y + 2*b - g. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, m: 1}. What is prob of sequence il?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7009 = 19*a - 3384. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-8)*100\/(-75). Is i at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 4. Let b be t(-6). Suppose b*m + 4*h - 2 = 2*h, -4*h = 3*m - 3. Let j = 39373\/45 - 875. Is j > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.1, -5, 0.12, 5048, 0.1, 0.3 in decreasing order.\nAnswer: 5048, 4.1, 0.3, 0.12, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.1 + 37. Let i be (4 + 1)\/(0 - -1). Let s = i + -4. What is the nearest to d in s, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11684 divided by 4?\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33049\/44140 - 14\/11035. Let o = 0.01 + -0.51. What is the second biggest value in o, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = -10, 5*m + 4*c = 2. Let b = -1 - m. Let r = b - -3. Let t(i) = i - 5. Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-11)\/(-13)) + (590\/40 - 7)*4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(637))**2 - 1*(sqrt(1872) + 0 + sqrt(1872))**2.\nAnswer: -6847 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5421940 times -0.064\nAnswer: -347004.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5259 - -6133. What is the highest common factor of 92 and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/12 + 4)\/((-3)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -568147 or -568148?\nAnswer: -568148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - g + 7, 8*g - 9 = 2*p + 5*g. Sort p, 0.07, -3\/4, -3\/10 in descending order.\nAnswer: 0.07, -3\/10, -3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1882 - 993. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56 (b) -5 (c) 0.3 (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*f - 406*f - 136 = 0. Let n = -2305 + 2509. What is the highest common factor of n and f?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 3955*n + 92040.\nAnswer: 5*(n + 24)*(n + 767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2642928, 5285841, 7928754?\nAnswer: 10571667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -26 + -5 + (-20608)\/(-672). Suppose 5*b - 39 = 4*f - 5, 0 = -2*f - 5*b - 2. What is the second biggest value in -2\/3, -2, u, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 + 8*j + 5. Let u be l(-3). Sort 5, u, -4 in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 281 + 3464 = 0. Solve 2*f + p - 115 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651 divided by -4?\nAnswer: 2651\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 36943, 4, -23, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.78498 + 16.785. Let w = r - -2. What is w rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, 20, 174, 474, 968, 1704, 2730?\nAnswer: 4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d. Let n(j) = 9*j. Determine y(n(l)).\nAnswer: -108*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 16 = 3*z. Let o be ((-2)\/3)\/(16\/z). Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 16. Let l be i(-14). Let d(b) = 2*b + 3 - 1 + 6*b**2 - 2*b**2 - b**2. Does 6 divide d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*w, -3*s - s + 16 = -4*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.3 + 2.3. Let j = 26.3824 + -8.3916. Let q = v + j. Round q to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i + 4*i - 4*i)*(36 + 249 - 4) to u*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 4*-1*sqrt(2448) + 5 + -1 + sqrt(2448) + sqrt(2448) + sqrt(2448) + -1*sqrt(2448)*-2))**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1235 - -2072791.8.\nAnswer: 2071556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -4, -6, 3\/14, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 129.\nAnswer: -2, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 2)*((-40185)\/2)\/(-15). Suppose -8*w + 58861 = y. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2796.27 - 2808. Let q = -0.27 + j. Let u = q + 11.9. What is the nearest to 3 in 1\/2, -0.3, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:35 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/2408*42)\/((-15)\/(-16) - 3).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - ((31 - (64 - 22)) + -1 + -2 + 25).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15987, 21601, 27215, 32829, 38443, 44057?\nAnswer: 49671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 38644216.\nAnswer: 115932648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*n + 6, 2*c - 2*n - 9 = -3. Suppose 4*k - 5*b - 38 - 35 = 0, k - 5*b - 7 = c. Calculate the remainder when k is divided by 1\/(1*(-1)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292075*z**4 + 77*z + 233.\nAnswer: 3504900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0 (c) 10\/3 (d) 7\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -6, 4, 3 in descending order.\nAnswer: 4, 3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 27*m - 13 + 79 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*q**6 + 15*q**3*r + 2*q**3 - 5147*q**2*r - 15*q**2 + 2*q*r wrt q?\nAnswer: -17160*q**3 + 90*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1647 and 65\/321.\nAnswer: 176229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let n(a) = 4*a + 1. Suppose s + 12 = y, 0 = y + s - 5 - 11. Suppose 13*r = y*r - 3. Calculate r*v(p) + n(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(-4)\/(-2). Which is the closest to v? (a) 5 (b) 1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 261736096?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 10*t + 5*t. Let o(d) = 5*d**2 - 8*d - 4. Let y(j) = -14*j**2 + 22*j + 11. Let v(x) = -11*o(x) - 4*y(x). Give i(v(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57143 by -95.\nAnswer: -57143\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**3 - 7*l**2 + 7. Let h(i) be the third derivative of -i**6\/120 + i**5\/60 - i**3\/6 + 297*i**2. Determine 5*g(y) + 35*h(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -0.1, 0.1.\nAnswer: -0.12, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3\/5 - 14*t**2\/5 - 12*t\/5.\nAnswer: 2*t*(t - 3)*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 5*w**2 + 8*w)*(138 - 82 - 68)*(-2*w + 4*w - 6*w).\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/25)\/((r\/((r\/(r*r**(-3\/5)\/r*r))\/r))\/r))\/(r**(1\/3))**17 assuming r is positive.\nAnswer: r**(-461\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11111010111010 (base 2) to base 5\nAnswer: -1003213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3060)\/340 - (-68)\/10\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 0.3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/15*36\/4. Solve -4*o + 4 = -v*y - 5*o, -o + 2 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 4. Let b be w(-3). Let j(x) = 2*x - 2. Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 748 - 48 = 28 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 + -4 + -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1398066 and 104.\nAnswer: -145398864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -37. Suppose -g = -4*o + 3, -5 = -3*g + 2*o + 3*o. Suppose 5*s + f = 221, -3*s + 47 = -g*f - 80. What is the remainder when s is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -86*m - 57*m - 0*m + 2080 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 524*g**2 - 5*g + 14. Is k(2) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7819321 + 7819246.00083. Let d = -68 - -143. Let w = d + l. What is w rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -17, -21, -27?\n\"Answer: -u**2 + u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 322 = -6*j. Let i = j - -46. Suppose 0 = 2*a - 3*c - 587, -2*a + 2*c = -i*a - 588. List the prime factors of a.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65599.7 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -91, -275, -485, -721, -983, -1271?\n\"Answer: -13*v**2 - 145*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -240. What is the lowest common multiple of (1\/4*-6)\/((-3)\/n) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 250. Let p = -178 - r. What is the smallest value in -2, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - t**3 + 0*t - 169149 + 169141.\nAnswer: -t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110110011100111 (base 2) in base 7?\nAnswer: -2315356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = -2*k. Solve -2*j - 19 = -3*u, -5*u + k = -5*j - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2 + -2*sqrt(17) + -1)**2 + (sqrt(2448) + 1 + sqrt(2448) - sqrt(2448))*-4 + sqrt(2448).\nAnswer: -30*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = -3*x + 4*h, -25 = -x + 5*h. Let s be (2\/x)\/((-12)\/(-10)). Suppose -7*j = -6*j - 5, 0 = -2*q + 4*j - 14. Sort -0.4, q, s.\nAnswer: -0.4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388, -378, -370, -370, -384?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03137354757 and 20?\nAnswer: 19.96862645243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5+10497.92551029\nAnswer: 10502.92551029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12678521905\/78 - -161787245. Let s = -757882 - l. Let z = -31\/39 + s. What is the common denominator of 15\/11 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10 - 627\/(-2). Suppose y = 4*p - 38. Is p\/2 + -1 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -16. Let m be 248\/5 - g\/(-25). Suppose 4*s + 0*s - 40 = -2*t, 0 = -5*s - 4*t + m. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = d + 4, -f + 6*f + 1 = 2*d. Let p(k) = k + 3. Calculate p(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1. Let y(s) = 2*s - 11. Let d(c) = -4*a(c) + y(c). Suppose -2*w = 3*q - 38 + 6, 2*w = 2. What is the remainder when d(q) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*k + 17 = 0, -4*k + 23 = u + k. Find the third derivative of 5*l**2 - 13 + u + 2*l**3 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x + 54*x - 5*h = -34, -4*x + 3*h = 3. Let v(z) = 2*z**3 + 7*z - 5. What is v(x)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 116. Suppose -r + 21 = 3*q, -487*r + 3*q = -485*r - 51. Calculate the highest common factor of r and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23640891 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {y: 1, g: 7, f: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 388 - 2*i - 52 as s + b*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 + 1332*b\/17 - 221778\/17.\nAnswer: -2*(b - 333)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 759*k + 421 + 338 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 6\/774397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 + 16*l - 65508 - 16*l - 8*l**3.\nAnswer: -l**3 - 65508","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + 4*u + 3. Let j be l(4). Let c = j - -382\/5. Let o = 0.1 + -1.1. Sort 2\/7, o, c in ascending order.\nAnswer: o, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -687715*u - 1031720 wrt u.\nAnswer: -687715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4, -2\/11, -3, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2501*0.069\nAnswer: 0.0172569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3549.713 minutes to seconds.\nAnswer: 212982.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1495\/46053 + -4\/301. Find the common denominator of -101\/612 and q.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 15*b**3\/2 + 5*b + 11. Let u(t) = -6*t. Determine q(u(a)).\nAnswer: -270*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5896982 is divided by 2864.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*y + 9, x + 3 = -4*y - 10. Suppose z - x*u = 5, -5*u + 7*u = -z. Solve 13 = 5*c - 3*q, 2*q + 30 = z*c + 7*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5588.8812 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - j - 5 + 3 - j**2. Let g(k) = 2*k**2 + 3. Let u(d) = -d**2 + 6*d - 4. Let v be u(4). What is v*g(r) + 6*b(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - m**2 - 4*m - 3*m - 3*m + 6. Let i be p(-5). Let b be (8\/(-12))\/(1 - 40\/36). Solve -2*h = -3*f + i, 0*h - b = 3*h - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(2) + 0) - (sqrt(42)\/sqrt(3))\/sqrt(7))*5 - (5 + 1 + sqrt(2)*1 + 3))**2.\nAnswer: -342*sqrt(2) + 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -911.\nAnswer: -45\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let v = 0 + o. Let t be (-1)\/(-1) - (-2)\/4. Which is the nearest to v? (a) -3\/5 (b) t (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2 - 0)\/(12\/(-99)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 4*w - 13. Let p be l(6). Find the third derivative of -53*z**5 - 55*z**5 - 17*z**4 - 30*z**2 - z + p*z**5 wrt z.\nAnswer: -60*z**2 - 408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286180*1.1.\nAnswer: -314798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(50)\/sqrt(10)) + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1457500 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3)\/k*k)**15)**(-9)\/((((k**(-3\/5)*k)\/k)\/k)\/(k\/k**(5\/2))*((((k\/(k\/k**(2\/3)*k))\/k*k)\/k)\/k)**11) assuming k is positive.\nAnswer: k**(-1927\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*v**4 + 10001*v**3 + 1375*v**2 + 9*v - 57 wrt v.\nAnswer: -3504*v + 60006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*g, -5*d + 0*g = -g + 12. What is the units digit of (-75)\/d - (-1)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 115*l**6\/6 + 8*l**2 + 4*l - 18. Find the second derivative of o(i) wrt i.\nAnswer: 2300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-6))**(2\/13) assuming k is positive.\nAnswer: k**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**0))**(5\/8)*(y**0)**25 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i - 2*j + 5, 4*j - 29 = -5*i. Suppose -i*a + 4 + 11 = 0. Calculate the common denominator of -89\/8 and a\/(-54)*-3*106.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431306743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1257257268 to the nearest integer?\nAnswer: 35458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.3, 3, -5, 40.6, -2\/9 in ascending order.\nAnswer: -24, -5, -2\/9, 0.3, 3, 40.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 796637701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -201, -546, -1029?\nAnswer: -1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:42 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1 - 1 + 3*b**2 + 10*b + 10. Let k be z(-6). Suppose 0 = 4*t + 4*s - 80, 4*t = t - 5*s + k. What is the remainder when 42 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23085251 is divided by 563?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -167? (a) 1\/8 (b) -14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*s + 2*s. Suppose s*d + 50 = -2*d. Let t = d - -16. Calculate the smallest common multiple of t and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 - 481. Let x be 2\/(g\/(-99) + -3). What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/25)\/((-3)\/(-10)). Solve 2*g = w - 0*w - s, 2*w = 2*g + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14 - 5 - 41*o + 38*o. Let h be u(-8). Let a be 1\/(-3) - ((-1248)\/(-18))\/(-16). Solve -i - a = -h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:42 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/3 - 3*n**2\/2 - 803*n. What is q(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -50. Differentiate -7*x**2 + 21*x**2 + 25 + 6*x**c with respect to x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 12. Calculate the remainder when m(-11) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 22 = p, i - 2438*p = -2443*p + 16 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(242)*-1 + -5)**2.\nAnswer: 110*sqrt(2) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 23. Let c(b) be the second derivative of b**3\/6 - 103*b. Give m(c(q)).\nAnswer: 3*q + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/((-2)\/4). Suppose 7*u - 34 = 36. Let m(t) = -4*t - t**2 + 9 - 1 - u + 3*t. Determine m(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381920 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 74013411 = -23581411. Round d to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59335.032 rounded to the nearest one hundred?\nAnswer: 59300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 64*u = -23*u + 1269 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 363 + -354. What is the remainder when 12 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ksazkzskzjjjskzj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 224\/(-36))*(-8502)\/2289\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 51 - 61 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300.504km to nanometers.\nAnswer: 2300504000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 42 = -4*c + 28, -4*b = 3*c - 80. Solve -c = 3*y - 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -10*m**5\/3 - 326*m**4\/3 - 206*m**3 + 11830*m**2\/3 - 15052*m\/3 + 1392 = 0.\nAnswer: -29, -9, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (52\/130)\/((-9)\/5 + 2). What is the nearest to -0.1 in b, 3\/8, -4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*b + 39 + 411 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46484335 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160\/11 + 2\/11*j**3 + 32\/11*j**2 - 152\/11*j = 0 for j.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 7*r - 5. Let y(q) = 4*q - 1. Let f(n) = -n - 1. Let k(c) = -f(c) - y(c). Calculate 7*k(x) + 3*t(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2. Let p(r) be the second derivative of -3*r**4\/2 + r - 39. Determine p(b(o)).\nAnswer: -288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.855506 to one dp.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-90))\/(90\/27) + 203\/5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 1025*j - 1020.\nAnswer: -5*(j + 1)*(j + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, u: 19}. Give prob of picking 3 u and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15760 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -7.1.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, -3, -30, -77, -150?\n\"Answer: -u**3 - u**2 - 3*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -4 + -6 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4907796?\nAnswer: 2, 3, 31, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 78114186?\nAnswer: 78114186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8016951999036\/26447 - -303132756. Let q = -2\/499 - n. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-436)\/(-8) - -4)*2*1. Let r = 171 - l. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3088? (a) -5 (b) 5\/3 (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65138582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -46 + (0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**4 + 3*d**4 + 4*d**4 + 3*d**4 + d**4 - 3*d**4 + (d**2 + 3 - 3)*(-2*d**2 + 4*d**2 - 6*d**2).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1645793147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 22202200?\nAnswer: -22202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*q + 21*q. What is the common denominator of 2*2008\/(-480) - (q - 2) and -97\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*g + 12, -4*g - 27 = -j - 17. Determine o, given that 0 - j*o**2 + 0*o - 2*o**4 + 20\/3*o**3 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/3)\/v)*v)**(-18) assuming v is positive.\nAnswer: v**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*s - 7. Let u = 33 - s. Suppose 2*f + f - 12 = -3*q, 3*f = 5*q - 20. Solve f = -4*d + d - u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*g**3 - 71*g**3 + 80*g**3 + 77*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43843 - 3726591\/85. Let l = h - 6\/17. Factor 6\/5*n - 6\/5*n**2 - 2\/5 + l*n**3.\nAnswer: 2*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + 138\/(-20)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2139 - -1792497548.\nAnswer: 1792499687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/360 + k**5\/15 + k**4\/8 - 61*k**3\/6 + 62*k**2. Let w(l) be the first derivative of y(l). Calculate w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + (-1)\/3. Let g(t) = -19*t**3 - t - 1. List the prime factors of g(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 600*p**2 + 19568*p - 139872.\nAnswer: 4*(p - 6)*(p + 62)*(p + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83028\/(-7854)*14\/4 - 2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5174642165?\nAnswer: 5, 7, 11, 643, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3706 - -144?\nAnswer: -3552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 58, 1, 25 in decreasing order.\nAnswer: 58, 25, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 815, 1787, 2957, 4367, 6059, 8075?\n\"Answer: 7*o**3 + 57*o**2 + 752*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -53040 to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5733345 rounded to 3 dps?\nAnswer: 3.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*l = 128*l + 24. Let o(f) = 3*f - 16*f**3 - 3*f**2 + 15*f**3 + 0*f**2 + 4 + 4*f**2. Let t be o(l). What is the smallest value in 3\/4, t, 2\/5, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 - 3*d**3\/2 + 5*d**2 + 12*d. Let m be j(-10). Which is smaller: m or 6\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from pvpvg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 5*d - 1. Let z be a(-6). Let w(k) be the first derivative of k**2 - 7*k - 34. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 28 = 3*r, -4*q - q = -4*r + 37. Suppose -2*u - r = 5*d - 2*d, -1 = 3*d - 5*u. What is the units digit of (-1)\/(-3)*(4 - d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + 12. Let v = 2 - w. Which is the second biggest value? (a) -4 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 3\/110, -4\/5, -6592, -2\/3?\nAnswer: -6592","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/13))\/(u\/u**(-4)))**(2\/79)*(u**1\/u)**(-3\/17)*u**(4\/7)\/u**2 assuming u is positive.\nAnswer: u**(-11026\/7189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1102036150 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364877*b**5 + 75137*b - 2 wrt b.\nAnswer: -7297540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/60 - 5*b**4\/6 - 29*b**3\/2 - 2*b**2 - 13*b. Let t be q(-12). Let p(x) = x**2 - 10*x. What is p(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + 1)*-5 - sqrt(112))**2 + 1*(1 + sqrt(112)) - (sqrt(1701)*-1)\/(sqrt(75)*1))*5.\nAnswer: 1229*sqrt(7) + 20290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*(w\/(w**(2\/19)\/w)*w)\/w)**(-3\/20) assuming w is positive.\nAnswer: w**(-111\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 158*c**6 + 189*c**2 - 18*c**3 + 18*c**3 + 3 wrt c.\nAnswer: 18960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(12)*-2*-2)\/(sqrt(144)*2 + sqrt(144) - sqrt(4)).\nAnswer: -1 + 4*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90*b + 104*b + 143*b - 40*b)*(0*b - 3*b + 6*b).\nAnswer: 891*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19652 + -19639.36. What is u rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83451761.\nAnswer: 37, 107, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.9 + 0.9. Let y = 23 + j. What is the closest to 0 in y, -22, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -118, -69, 42, 245, 570, 1047, 1706?\n\"Answer: 5*w**3 + w**2 + 11*w - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24478202 and 5978.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vyyvvyvvvvv.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206744, -413492, -620240, -826988, -1033736, -1240484?\nAnswer: -1447232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:59 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97331.71 litres in millilitres?\nAnswer: 97331710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**2 + 210*p**2 - 94*p**2 - 98*p**2 - 1629*p**3.\nAnswer: -1629*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + 11\/(-2). Suppose 7*q - 3*s - 149 = 2*q, -3*s = 2*q - 68. Suppose -7 + q = -8*j. Put 5, j, a in increasing order.\nAnswer: a, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 26*v**2 + 108*v - 48. Let j be q(-4). Factor 0 + 0*a + j*a**2 - 3\/2*a**3 + 1\/4*a**4.\nAnswer: a**3*(a - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 122.797?\nAnswer: 736.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 5 in ascending order.\nAnswer: -9, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/((-60)\/3))\/((-10)\/(-25)). Let o = -228 + 225. What is the closest to 0.1 in 3\/4, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1 - (9 + -9)) + (9 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 17 - 15. Suppose -x + 0 = -2*i. Calculate the remainder when 30 is divided by i*2*20\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 1335*f**2 - 5580*f + 43360.\nAnswer: 5*(f - 271)*(f - 4)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from nodnoxxnnnxd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3978 + -3980. What is the second smallest value in b, 1, 2, -0.01, 1\/11?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 423696 + 26*j**3 - 423697 + 0*j + 0*j**3.\nAnswer: 26*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 9. Let w(m) = 4*m + 46. Let k(i) = -11*a(i) - 2*w(i). Let t(r) = -2*r - 1. Let p(s) = -k(s) - 3*t(s). Give p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -846, -863, -880, -897, -914, -931?\n\"Answer: -17*b - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -335 divided by -2099\nAnswer: 335\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4278 = 46*p - 52*p. Is p - 25 - (-1*3 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20010 divided by -435.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09756 smaller than 390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 55320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21502 + 340?\nAnswer: 22242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-24) + (1 - (-20)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96692 is divided by 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 + 11*t - 9. Let j(c) = -4*c**2 - 3*c + 4. Let u(n) = n**2 - n. Let i(h) = j(h) + 2*u(h). Determine -9*i(m) - 4*y(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662466047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241 + -225. Let l(f) = f**2 - 10*f - 15. Let s be l(12). Let d be (3 + -1)*(s - 2). Which is greater: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10019 + 19*i + 13*i**2 + 10019 - 19*i.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 263. Is -2\/7 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 54, 74, 94, 114, 134?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d + 0*d)*(-3*d - 4*d - 2*d)*(2*d + 3*d - 3*d)*(3*d + d - 6*d) to the form r*d + j*d**3 + f + k*d**4 + x*d**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 218*l - 218*l - 84508*l**2.\nAnswer: -l**3 - 84508*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101002000020 (base 3) to base 15.\nAnswer: 3db49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.213724 years?\nAnswer: 0.03213724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111078 = -46*o + 19*o - 72*o. Calculate the remainder when o is divided by 278.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.493908 * 886\nAnswer: -437.602488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 172 = -6*i + 43*i. Solve -4*u = m - 9, 2*u + i*u = 16 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 27 = 6*p. Suppose 9*y = p*y + 18. Calculate the highest common divisor of y and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 5)\/((-6)\/8). Suppose 5*a - 6 = -5*v + 2*a, 5*v - 8 = -4*a. Suppose -16*f + 0*f = -80. Solve 0 = -f*l - g + 5, v = 3*l - g - b*g - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -12)*(-14)\/4. Let l(w) = -3*w - 13. Let q be l(i). Suppose 0 = -3*s + q*s. Solve s*n - 4 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b**2 - 40*b**2 + 55*b**2 - 529*b**5)*(3 + 0 - 6)*(6 - 1 - 3).\nAnswer: 3174*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110201 - -101012022?\nAnswer: 101122223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -1c?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 6:35 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 8\/(-5))*3 - -2. Factor 0 + r*p**3 - 3\/5*p**2 + 2\/5*p.\nAnswer: p*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39.5 and -143220.3.\nAnswer: 5657201.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + 1 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**3 - 3*h**3 + 13*h**3)*(-16 - 10*h + 8*h - 1).\nAnswer: -36*h**4 - 306*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) + (2*sqrt(2299) - sqrt(2299))) + -1.\nAnswer: -44*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/5 (c) 10 (d) -1 (e) 174\/23 (f) 2\/5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-20))\/(((-18)\/4)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-3290)\/(-1095))\/(2\/4). What is the nearest to -1 in -1\/5, b, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -7. Suppose m - 2*n = 3, 5*n - r = -5*m + 72. Calculate the highest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i + 1. Let o(c) = 2*c. Let h(b) = -2*b**3 - 11*b**2 + 5*b - 4. Let g be h(-6). What is g*d(q) - 9*o(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 191. Let g = 54 + r. Let i = -33 - g. Solve -4*m + 0*m = 2*l - i, 5*l + 20 = 4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 159720760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014795 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 + 2*o. Give g(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5448)\/(-4))\/(-3)*-1. Let d = -1330\/3 + a. Find the common denominator of 4\/(-10)*(-250)\/8 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + (-5)\/4. Let k = -7 - -65. Let m = 526\/9 - k. Which is the second smallest value? (a) m (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70273\/6156 - -2\/1539. Calculate the common denominator of -149\/6 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - 28 - (-1 + (4 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -936931, -936921, -936905, -936883, -936855?\n\"Answer: 3*k**2 + k - 936935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -0.04193?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*x + 169 = 0, -2*i - 3*x + 151 = -0*x. What is the remainder when 96 is divided by (660\/i)\/((-2)\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**3 + 2*q**2 + 39*q**4 - 10*q**3 - 2*q**2 - q**2 to the form j + w*q**3 + p*q**2 + f*q**4 + r*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 23668*j**3\/5 + 4762000*j**2 - 47722736*j\/5 + 16128\/5 = 0.\nAnswer: -1008, 2\/5917, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46842967 is divided by 530?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.24 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40888 is divided by 1420?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 56 - 7)*(-g**4 - g**2 + g**2).\nAnswer: -148*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*h**2 - 39*h**2 + 4 - 4 + 81*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -242?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/24 and -31\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 6, 2*z + 354 = -4*a. Let b = 89 + a. Find the third derivative of j**6 - 7*j**6 - 2*j**b + 12*j**6 + 5*j**6 wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1369*b - 57. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/15)*b*b))**24*((b**(-3)\/b)\/b)**(-2\/3) assuming b is positive.\nAnswer: b**(-262\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*p + 21, 5*x = -p - 2 - 11. Calculate the remainder when 390\/9 + 4\/p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:07 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/20 - q**4\/8 + q**3 - 52*q**2. Let u(z) = z**2 - z + 2. Calculate 4*o(b) - 11*u(b).\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -4*h + 5*v, -1332*h = -1336*h - 4*v + 336. Solve -27*c - h = -42*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.1, 6, 0.028, -0.3, 2 in descending order.\nAnswer: 6, 2, 1.1, 0.028, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 11) + -18 + 0 + (-12 - 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65539779.\nAnswer: 3, 21846593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167790 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.1, 2, 0, -2\/71, -0.3 in decreasing order.\nAnswer: 2, 0.1, 0, -2\/71, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 3*i**2 - 4*i + 2. Let b(l) = 2*l**3 + 2*l**2 - 3*l + 3. Let m(t) = 4*b(t) - 3*x(t). Determine m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.5, 194.531184?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 213859 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:06 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*q - 3957 = 1859 - 121 - 331 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = 8*p - 951. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688417693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose 3*t - 1 = d, 0 = -a*t - t - 4*d - 4. Suppose t = 3*w + 4 - 7. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6430 and 6430.\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0200362 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*j + 280, -3*t + 3*j = -j - 182. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8371, 14656, 20941, 27226, 33511?\n\"Answer: 6285*s + 2086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3))\/s*s**(2\/7)\/s*(s**(2\/3))**35*(s\/(s*s\/((s\/s**(2\/7))\/s)*s*s)*s)**(-2\/21)\/(s**(-4\/5)\/(s\/((s\/(s*s**4))\/s))) assuming s is positive.\nAnswer: s**(6526\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 11250117.\nAnswer: 4\/3750039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1.09?\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 3, -9994944?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + -6.2. Let v = -769 + 768. Is p at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/18 + 8\/(-36). Suppose 3*r = -x*r + 24. Let v(o) = o + 0 + r + 1 - 6. Determine v(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 36)*2\/(-2). Suppose -2*s + 27 = -b, -3*s - 4*b = -4*s + j. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 874 + -2 + 2 + (12 - 8). Calculate the greatest common divisor of b and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-28))\/(198\/231)*1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -74059?\nAnswer: -74059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3048 - -3051. Solve 5*h = t*s + 37, 5*s = -h - 11 - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 - 55*w - 442. Let j be b(18). Which is smaller: -113 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044199419 rounded to 6 dps?\nAnswer: -0.00442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.38.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 18. Let x(z) = 6*z - 33. Let k be x(q). Solve -k*i - 3 = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-42 - -1) + 2. Let y be (-9)\/(-2) + 5*(-4)\/h. Suppose -5*a = -3*r + 422, -y*a = 4*r - 3*r - 134. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621 greater than 6621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -93. Let y = -23 + p. Suppose 0 = -24*a + 23*a + y. What is the remainder when 110 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p - u - 10, 0 = 2*u + 4. Let j(y) = -y**2 - 9*y + 5. Let w(v) = v - 1. Let b(h) = p*w(h) - j(h). What is b(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4415397.\nAnswer: 3, 7, 210257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 3. Let y(r) = -5*r + 7. Let v(x) = 7*h(x) - 4*y(x). Determine v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1433\/7472 + 2\/467. Which is the second smallest value? (a) -2\/3 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (8856\/(-120))\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -325 + 5?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - o - 3. Let z be b(3). Let p = 30 - z. Calculate the lowest common multiple of p and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (2 + sqrt(272))**2).\nAnswer: -281 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2. Let o(x) = -11*x + 13*x + 0*x**2 + 2*x**2 - x**2. What is b(o(r))?\nAnswer: -2*r**4 - 8*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*m - 292 = 0, 5*r - 638 - 110 = m. What are the prime factors of (9\/(-6))\/((-3)\/(-6)) + r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - -25) + (210 - 170)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 5*p + 540. Let x be (-4)\/p - 4\/(-36). Let n be 2*(1\/21 - 0). Is x equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -2\/5, -2, 291.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26076312 and 39192.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/8)\/((-1)\/4). Let a be (-1)\/3 + k\/(-9). Factor -c**2 + 2*c**2 - 2*c**a - c**3 + 2*c**2.\nAnswer: -c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 64 = -2*t - 19 + 56, w - 23*t = -1268 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 6 = 0. Suppose 4*f - 56 = -5*d, -4*d - t*f + 40 = -0*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 1\/(-3))*-3. Suppose f*m - 130 = 80. Suppose -5*a + 4*k = -5 - 61, 4*a = -2*k + 58. What is the highest common divisor of a and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Suppose -3*k - 3*h = -4*k + 11, 2*k - 17 = 5*h. Let a = k - -4. Let q(n) = a*n**2 + 2*n**2 + 6*n**2. What is u(q(x))?\nAnswer: -128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - b = -4*d + 18, -5*d + 3*b + 26 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2. Let t be p(6). Let f = t - -7. Solve -3 = f*q - 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112987 is divided by 28244?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-34)\/(-85)) - (2 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a minute in seconds?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3670*a - 8. Let v(f) = -3*f. Determine v(m(y)).\nAnswer: -11010*y + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 5293557?\nAnswer: 269971407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 2*h - 32 = 0, h + 20 = 3*q. Let o(v) = 222 + 3*v**2 - 5*v - v**2 - 241 - v**2. Determine o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/(-253)*(-55)\/15*3. Which is the closest to y? (a) -2 (b) 1\/176 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:22 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002424805091 rounded to six dps?\nAnswer: 0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5959.5843 - -0.6.\nAnswer: 5960.1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qroqqqrrrqqqrqqqqq. What is prob of picking 3 q?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -484160 - -6503792. Suppose 4*h = 5*r - j, h + 294435 = r - 1210473. Let k = h + 1064908. Round k to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-10) + 6)\/(5\/4). Let b = 316 + y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23050 is divided by 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnini. What is prob of sequence ni?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4695, 9328, 13961, 18594?\n\"Answer: 4633*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77) - -2*sqrt(77)) - sqrt(77)) + -3*sqrt(77)*2)\/(sqrt(110)\/sqrt(360) + sqrt(55)\/(sqrt(5) + sqrt(30)\/sqrt(6))).\nAnswer: -57*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:16 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 196525 and -0.846.\nAnswer: 196524.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*q - 17 = 0, -28831*q + 43 = m - 28828*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 24 = -26. Suppose 2*w + 10 = 2*g - 2, 4*w + 9 = -g. Let o = w - h. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.3595 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*u**2 + 63*k**3*w + 7*k**3 + 42*k*u**2*w + 9*u*w wrt u.\nAnswer: -2*k**3*u + 84*k*u*w + 9*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36319561847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a - 2*m = -2, -3*a - 4*m = -10. Let u be -5 + (-8)\/a - 0. Sort -3, 5, u in increasing order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l + 79 = 0. Let m = -153385 + 153399. What is the remainder when l is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14320243, -14320233, -14320201, -14320135, -14320023, -14319853?\n\"Answer: 2*o**3 - o**2 - o - 14320243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101567.\nAnswer: 3, 367189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -35*v**4\/2 + 4205*v**3 - 1200*v**2 = 0.\nAnswer: 0, 2\/7, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6407018 and 116932.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c = -5*c - 155 - 4729. Calculate the remainder when 670 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2703 + 8124 - 2709 + 29*o**2 + 14*o - 2712 + 2*o**3 to b*o**2 + y + p*o**3 + c*o and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3209183\/20550 - -7\/3425. Suppose -213 = 3*p + 252. Let a = p + u. Calculate the common denominator of -64\/3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1298 = 3*j - j, -7*p + 3*j = -4547. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -7 (c) 7 (d) 8\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 7*m**2 + 3. Let f be l(-7). Suppose -2*t = 2*t. Solve 4*z = d + d + 2, -f*d - 2*z + 5 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -466 + 469. Let v(n) be the first derivative of -n**4\/4 + 2*n**3\/3 + 5*n**2\/2 - 4*n + 5. Let a be v(f). Solve -12 = 4*d, -3*r + 1 = -a*r - d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 2*t + 25*t - 6*t - t + 6*t + (-2 + 2*t + 2)*(0 + 0 + 1) - 2*t - 1 + 1 + (-2*t + t - t)*(-2 + 6 + 2) - t + t - t in the form y*t + i and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/40*(-178)\/89?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-1 - (1 + sqrt(242))) + ((sqrt(2)*4)**2 + -5 - (sqrt(6)\/sqrt(3) + 3)).\nAnswer: -14*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 51\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let m = 4 - 4.04. Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 12 - 4)*(-s**2 + 0*s**2 - s**2)*(-1 - 3 + 3)*(-4*s + 0*s + 2*s) - s**3 + 0*s**3 - 4*s**3.\nAnswer: -49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 22*h**2 + 17*h - 35. Let n be r(-17). Suppose -12*t - 1085 = -n. Factor 0*i + 2\/3*i**t + 1\/6*i**5 + 0 + 0*i**2 - 2\/3*i**4.\nAnswer: i**3*(i - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4677*p**6 - 9677*p**6 - 104*p + 10*p**2 + 4787*p**6 wrt p.\nAnswer: -25560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 36 + 105 - 26 + 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1954.1 - 1848. Let u = l + -51.1. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 28 (b) 1\/3 (c) -2\/7 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2553, -2, 5, 0.02, 3\/2, -32?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = 4. Let u = -11 + 287. Suppose -5*d - f = m*f - u, -5*f = 2*d - 124. What is the remainder when d is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76246 or -4555?\nAnswer: -4555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let m(j) = 24*j**2 + 4*j + 380. Calculate m(s(l)).\nAnswer: 96*l**2 - 8*l + 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4761, 5145, 5787, 6687?\n\"Answer: 129*t**2 - 3*t + 4635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(6\/2) + 3. Suppose -8*t - 24 = -4*f - 3*t, v*f = -5*t + 18. Solve -f = w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/42 and -35\/1746.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17382 divided by 1?\nAnswer: 17382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 789151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (33\/12)\/(184\/608)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103113 (base 8) to base 2.\nAnswer: -1000011001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5616 and 1664?\nAnswer: 44928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23445 + -23444. What is the closest to 2 in l, 29, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**5\/12 + 5*y**4\/12 - 5*y**3\/6 - 5*y**2 + y - 34. Let f(p) be the second derivative of c(p). Factor f(j).\nAnswer: -5*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55181851 to the power of 1\/2, to the nearest integer?\nAnswer: 7428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6, -5*x = 5*h - 32 + 7. Suppose -13*t + h*t = 165. Let m(o) = -2*o**2 - 33*o + 20. Is m(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) -1.02 (b) -4 (c) -2\/5 (d) -1.4 (e) 3 (f) 3\/7 (g) 0.758\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200122 - -15532?\nAnswer: 215654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let n(q) be the first derivative of -2*q**3\/3 - 6. Calculate m(n(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < -2717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -64 - (95 - (28 + 61))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66373*u**5 - 65864*u**2?\nAnswer: 3982380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 123*n - 188*n = -306 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002224068 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiiihiihihi. What is prob of sequence ihhh?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8522 is divided by 250.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.073 - 0.06. Let z = -569950 - -569949.98700044. Let x = z + h. Round x to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1846 - 0.1346. Let o = 128 - 642\/5. Which is the nearest to o? (a) n (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 472413992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13820004 divided by -12\nAnswer: 1151667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(-1*(sqrt(243) - (sqrt(243) + 1)) + sqrt(243) - sqrt(243) - sqrt(243) - -2*-2*sqrt(243))*4)**2.\nAnswer: -36000*sqrt(3) + 2430401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/4 + 6*x - 3. Let k(r) = 116*r**2 + r. Give z(k(q)).\nAnswer: 40368*q**4 + 696*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -1.4. Suppose 138*n = 135*n + 9. Which is the smallest value? (a) -2\/11 (b) n (c) -3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*d - 7. Suppose -s = -3*f - 2, 2*f + d = 5*s - s. Suppose -s*w + 58 = 4*i + 2, -4*i = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsxsfx. What is prob of picking 1 x and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1.1, -13\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25604 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*h - 131, v + 19 = 3*h + 83. Calculate the remainder when 436 is divided by v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-5))\/((-2)\/395*1). Let b = 399 - v. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023893.\nAnswer: 3, 74959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3044599.348 to the nearest one hundred.\nAnswer: -3044600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 - 31*h**2 - 22*h**2 + 84*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/60 + c**4\/3 + 2*c**3\/3 + 46*c**2. Determine u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 4) in base 14?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329437634?\nAnswer: 2, 12491, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1))*i)\/(i\/(((i**(-7)*i)\/i)\/i))*i**(1\/6)*(i\/i**(4\/5))\/i assuming i is positive.\nAnswer: i**(-289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 6*s**2 + 2. Let h be y(-6). Let t(o) = 6*o**2 + 1. Let z be t(h). Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9215 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*m, 11 = 3*c + 4*m - 15. Solve -c*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.033 + 4.833. Let y = -5 + t. Let f be -1*1\/(0 - 1). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 28.9. Let z = 25.896 + n. Let c = z - -0.06. What is c rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*j + 1273*j + 3261 = 0. Suppose -2*o + 4*g = -4, -o + g - 4 = 2*o. Sort -1, j, 6, o in decreasing order.\nAnswer: 6, -1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-15) + 62\/10. Let z be 1\/2*m - 23. Let o = z - -35. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 + 718*z**4 - 25800*z**3 - 27238*z**2 + 25801*z + 26520 = 0 for z.\nAnswer: -1, 1, 39, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*u + 6*u + 434, 0 = -2*u + 2. Suppose z - 87 = -w. Solve z = 5*o + 1 - 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -3*h**6\/40 + 91*h**5\/100 - 3*h**4\/20 + h**2 + 527*h. Factor y(c).\nAnswer: -3*c*(c - 6)*(15*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/8 - 36\/(-8). Let b be j\/1 + 3 + 3. Solve p + 1 = 4*f + 16, f = 2*p - b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/2 + (1 + -4 - 0). Suppose -7 = -5*w + 3. Sort w, b, 0 in ascending order.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 - 69\/(-21). Sort -1, -6, b, 0 in decreasing order.\nAnswer: b, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14405 + -23255. Is -17697\/2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -7*q**6\/240 + 51*q**5\/160 - 35*q**4\/48 - 2*q**3 + 2*q**2 + 3414*q. Determine t so that s(t) = 0.\nAnswer: -1, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8187.18 and -0.04?\nAnswer: 8187.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + x - 151 = 182, -v + 99 = -5*x. Let u be ((-8)\/28)\/((-3)\/v). Solve 0 = u*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 15 - (216 + -253).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 150 + 2\/5*a**5 - 11\/5*a**4 + 0*a + 0*a**2 + 16\/15*a**3. Factor y(o).\nAnswer: 2*o**2*(o - 4)*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143 and 2.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13201, 26398, 39609, 52840, 66097, 79386, 92713?\n\"Answer: f**3 + f**2 + 13187*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - z + 27, -4*g + 27 - 6 = z. Let p be g + ((-4)\/18 - (-319)\/261). Solve -5*s + 0*s - 5*a = -5, p = 4*s + 5*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:24 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 9*w**2 + 2*w + 8. Let a be j(4). Is 4 + (442 - a) - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2326 + -763. Suppose 2*n - 6*n + 2092 = 4*d, 3*d - r = -n. Suppose -520 + 3*f + d + 3*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 72.4\nAnswer: 21.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8229023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2)*(-5)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/9)\/4)\/((-11928)\/(-2556)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvjo when four letters picked without replacement from dvvovojvoqqjdodojv?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -13020 at least as big as -13020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 + -2 - -2. Let x = 106\/3 - 36. Let k be 1\/((-3)\/(-3*1\/(-4))). Which is the nearest to k? (a) j (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -472*c**2 + 2*c. Let j(v) = 142*v - 2. Let g(i) = -776*i + 11. Let l(q) = 2*g(q) + 11*j(q). Determine w(l(s)).\nAnswer: -47200*s**2 + 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*c - 36 = u, -4*u - 4*c = -4. Let k be (-66)\/(-15) - u\/(-10). Suppose -61 = -19*b - 25 - 17. Solve -o = k*y + 24, 0 = y - b + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 (base 8) in base 9?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 324 - 63331?\nAnswer: -63005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88 + -89 - 7\/(-5). What is the nearest to 26 in 4, b, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -211323?\nAnswer: -212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2338 and 55\/2?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.04 - 0.04. Let s = -20 - -19.94. Let h = 2.94 - s. Which is the third smallest value? (a) -0.5 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 78.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.5. Let s = -2.4 - o. Which is smaller: s or -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/4*(-40)\/25. Let h = 31 + j. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 328976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100\/3 in 2\/11, 1\/31, 10, 2\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20010102 (base 3) to base 2\nAnswer: 1000101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11\/3)\/((-11)\/(-363))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.032, -0.2, 0.4 in increasing order.\nAnswer: -0.2, 0.032, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 = -3*n + 3*o, -2*o - 23 = -5*n. Suppose -n*t + 6 = -0*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13920632?\nAnswer: 2, 11, 158189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -416, -434, -466, -518, -596?\n\"Answer: -m**3 - m**2 - 8*m - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 2 - (2 + 2). Is z < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269223106 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2075088 + 2075088 + 23357*r as z + o*r and give o.\nAnswer: 23357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = 8. Let o(f) = -f**2 + f + 1. Let l(i) = -i + 6. Let b be l(5). Let d(u) = -3*u**2 + 4*u + 5. Calculate b*d(x) + h*o(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 - 254\/742. Let m = q - -174\/265. Let p(r) = -r. Let u be p(-3). Which is the smallest value? (a) 0.2 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52211821 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/15, 0, -0.1, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:01 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31013331 (base 4) to base 6.\nAnswer: 1052513","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 456612810814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2, 0.2, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpxf when four letters picked without replacement from {f: 4, x: 2, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/11 + 268*j**3\/11 - 1048*j**2\/11 + 1040*j\/11 = 0?\nAnswer: 0, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120002 (base 3) to base 16.\nAnswer: -12ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5346 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109235 is divided by 18201?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -4, 0, -30, 762 in decreasing order.\nAnswer: 762, 47, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 1.142, 0.4 in decreasing order.\nAnswer: 1.142, 0.4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-1 - -1*3). Let d = -23 + 22. What is the units digit of (1 - d) + o*7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 16. Let j be g(-5). Let s(m) = 15*m + 14. Let i be s(j). What is the greatest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = 2*v + 274. List the prime factors of v.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**2 + 14*m**2 - 40*m**2 + (0*m - 2*m + 0*m)*(3*m - 2 + 2))*(-3*m**3 - m**3 + 6*m**3).\nAnswer: -90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35817\/8 - -4483. Calculate the common denominator of 34\/7 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzliiclrinzizn. Give prob of sequence zl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/15*795\/477.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i + 4. Let b be y(4). Let p(j) = 0*j - 16 + 8 - j. Let d be p(b). Solve 3*k + 4 = -5*s - 4, -2*s + 2*k = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 8:38 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79181957 is divided by 19795480.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2332 + 5259. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42163 - 55058 + 17465 = -157*j. Calculate the greatest common factor of j and 4953.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739990 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*s + 52, -3*s + 5*m = -s - 35. Calculate the remainder when 148 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 24*i**2 + 52*i - 262. What is the hundreds digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 - 14\/5*o - 4\/5 - 18\/5*o**2 - 2\/5*o**4 = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.06, 16 in increasing order.\nAnswer: -0.06, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*q**2 - 64*q**2 - 53*q**2 - 47*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*l + 4*u - 67, -8 = 2*u. Let f = -131 - -188. Let k be (f - -18)*1\/3. Calculate the greatest common factor of l and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/7)\/((72\/9)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -59, 435\/8 in decreasing order.\nAnswer: 435\/8, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (5257957 - (12 + -12))\/5 + 2\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-21)*(1 - 7).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96520, -96530, -96554, -96598, -96668?\n\"Answer: -h**3 - h**2 - 96518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 3 + 3)*(3 - 3 - 2) - 8*x**3 + 2*x**3 + 37*x**3 + (6*x - 2*x - x)*(2*x**2 - 2*x**2 + x**2) + 0*x**3 + 3*x**3 - x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 30*h + 5*l = 15, -3*h + 12 = 2*l. Calculate the remainder when 441 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 12*p + 20. Let m be d(10). Solve m = 3*l - 3 - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -1\/7 (c) 0.4 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -5, 0, -2\/9 in descending order.\nAnswer: 2, 0, -2\/9, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1.54.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(7) + -1 + sqrt(7) + sqrt(7))*3 + sqrt(77)\/sqrt(99) - ((-1 + sqrt(63))*6 + sqrt(63) + sqrt(63)))*-4)**2.\nAnswer: -1408*sqrt(7) + 218128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 2*(sqrt(132)\/sqrt(24) + sqrt(22))\/sqrt(11)).\nAnswer: 18*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 31 + 30 - -29\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 + 9 = -2*c, 8 = -4*c. Factor 3*z**2 + j*z + 3*z**3 - 5*z**2 - 2*z - 2*z**3.\nAnswer: z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 357560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*a - 193*a - 2*n = -4, 0 = -2*a - 2*n + 4. Solve a = -5*h - 3*d + 9, -2*h = 2*h - 3*d + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 8 (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.4948 nanometers in kilometers?\nAnswer: 0.0000000003054948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.5. Let i = 1.53 + -1.6. Let k = i - 0.03. Sort k, 3, p in decreasing order.\nAnswer: 3, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 2, o: 1, t: 4, e: 4, j: 2}. Give prob of picking 1 e, 1 o, 1 j, and 1 t.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19\/2 (b) -1.8 (c) 0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 o when three letters picked without replacement from {o: 5, x: 5, z: 1, u: 7}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 10:36 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 6*d + 6. Let j be z(1). Let h be (j\/(75\/70))\/(8\/(-20)). Solve h - 16 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 63 = 49. Is 14 a factor of ((-1)\/(-2) - 1)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4793 - -4797. Suppose 3*t - 35 = 1. What is the third derivative of -3*h**4 - 6*h**2 + 34*h**f - t*h**4 wrt h?\nAnswer: 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 + -0.03. Let u = -3.6 - 0.4. What is the second smallest value in l, u, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62188, 124659, 187132, 249607, 312084?\nAnswer: 374563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18950264353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.760989 years in decades?\nAnswer: 0.5760989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -46. What is the lowest common multiple of 14 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 4532923*h\/2 + 20547390923929\/4.\nAnswer: (h + 4532923)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/18 and -107\/3090.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 + 10 = 0. Let c = 8 - 4. Let s = 3 + c. Calculate the remainder when s is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 minutes before 9:37 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 - 69*p**2 + 118*p - 5 wrt p.\nAnswer: 20*p**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71912557 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.420000167 - -4.42. What is u rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, 33, 1 in decreasing order.\nAnswer: 234, 33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1539*f**2 + 1533*f**2 - 3050*f**2.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -285\/263, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcchchcrhcdhcc. What is prob of picking 1 h, 1 d, and 1 c?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/30)\/((-2)\/(-20)). Let s(x) = 3*x. Let f(r) = 10*r - 1. Let m(z) = v*f(z) - 14*s(z). Differentiate m(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 3*o**4 + 7*o**4 - 2 + (4*o**3 - 3*o**3 - 3*o**3)*(o - 3*o + 0*o).\nAnswer: 7*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/247 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40899, 80071, 119227, 158361, 197467?\nAnswer: 236539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22443 - 0?\nAnswer: 22443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 107. Suppose 15 = -15*f + x. Solve 4*k = 5*y + 13 + 7, 5*k - f*y - 12 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6590 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 20*n. Solve n = 3*o + o + 2*c + 8, -1 = 3*o + 4*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215501 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -262 + 603 - 2*i**2 - 98 in the form a*i**2 + v*i + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = -22*o - 203 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.958, -1\/2, 0, 0.3, 2 in ascending order.\nAnswer: -1\/2, 0, 0.3, 0.958, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 423 and 10192 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*p - p + 7386, -3*p + 18451 = 5*u. Suppose 0*o = 7*o - u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -73\/6*k**3 + 0*k + 0*k**4 + 38\/105*k**7 + 0*k**6 + 0 + 0*k**5 - 6*k**2. What is the derivative of o(y) wrt y?\nAnswer: 304*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 5*t**4\/24 - 2*t**3\/3 - 137*t**2\/2 - 24. Let v(d) be the second derivative of y(d). Calculate v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2.979. Is 1\/4 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -1, 8, 31, 62?\n\"Answer: -g**3 + 16*g**2 - 52*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 16 = -2*h. Suppose -5*n + 2*n = -q + 10, 3*n = -5*q + 14. Suppose -h*x + 108 = -q*x. What is the greatest common factor of x and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(130) - (sqrt(130) - 3*1*sqrt(130)))\/(sqrt(10)*1*4 + sqrt(10))*4.\nAnswer: -48*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -11. Suppose -5*p = -r, 3*p - 19 = -4*x + 3. Suppose -1 = 3*v - x. What is the remainder when 2 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-500)\/1090)\/50*(-13)\/13?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m - 141 + 68 + 109*m + 66 as d + f*m and give f.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 222. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 6*a. Let r be p(5). Differentiate d**3 + r - 909*d + 909*d with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**5\/5 - 9*y**4\/2 - 14*y**3 + 245*y**2 - 938. Suppose i(r) = 0. Calculate r.\nAnswer: -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/578 + 23445\/2312. Calculate the common denominator of -19\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -3. Let n = -2 - h. Suppose -24 - 42 = -n*r. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46 + 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 32, 25, 18, 11, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = o - 15, 3*g + 2*o = -2 + 14. Suppose 2*j + 4 = 4*r, g*j - j - 4*r - 2 = 0. Suppose 91 = j*u - u. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let c = 1 - -3. Let d = c + -4. Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * 2.02376\nAnswer: -60.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(536*q**2 - 1007*q**2 + 630*q**2).\nAnswer: -318*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194351 + -96961. What is v rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1533114 and 10034928.\nAnswer: 110384208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -23*j - 316. What is the remainder when c(-28) is divided by 146?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/8 (b) -3\/5 (c) -244.9 (d) 3 (e) 0.3 (f) 3\/5 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.1 and -1087.562.\nAnswer: -1090.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816546541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4334896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 7*b**3 + 4*b + 2*b**2 + 265 + b**3 - 263 as w*b**2 + z*b**3 + t + x*b and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-4\/37)*(a\/(((a*a**(1\/3))\/a)\/a))**(-23\/5) assuming a is positive.\nAnswer: a**(-863\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55000062 - 0.55. What is v rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -3, 1, 0.3668 in decreasing order.\nAnswer: 1, 0.3668, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3\/(3\/3). Suppose 0 = -b*o + 2*o + 4*z - 12, 18 = -4*o + z. Suppose -2 + 3 = -5*y - t, 0 = 2*y - 3*t + 14. Put y, o, 5 in decreasing order.\nAnswer: 5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 i when three letters picked without replacement from {y: 4, r: 4, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22844, -22853, -22862, -22871, -22880, -22889?\nAnswer: -22898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = i + 3*m, -i + 11 = -0*i - 3*m. Sort -0.1, -5, 1\/4, i.\nAnswer: -5, -0.1, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 11*x + 28. Calculate s(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 4 = -5*q. Suppose 0 = r + 3*a - q, 5*r - 28 = 3*a - 6*a. Suppose -59 = -t - 4*x - 1, r*t = 3*x + 198. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 23*t - 63. Determine g(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-2 + 3 + 1) - 9 + 34 + 22)*(-1 - 5*b**4 + 9*b**4 + 0).\nAnswer: 180*b**4 - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 18 = -3*c, w - 2 = -2*w + 5*c. What is the units digit of ((-49)\/(-21))\/((-2)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -66. Suppose 2*d = -d + 6. Suppose -d*c = 3*z - h, -3*z + 4*c = -c - 48. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 1*sqrt(85)*5 - sqrt(85)) + (sqrt(85) - (-1*1*sqrt(85) - sqrt(85))))\/(sqrt(30)\/(sqrt(294) - (sqrt(294)*-4 + sqrt(294) + sqrt(294)))).\nAnswer: 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 610.983 and 14113.\nAnswer: 14723.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22dad (base 15) to base 8.\nAnswer: 330760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7819 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46274567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 2*g = 28, 7131*g - 7129*g = 5*c + 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and 0.09 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 1676*l - 1221342\/5.\nAnswer: 2*(l - 141)*(l + 4331)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -24. Suppose 6 = 4*y + 2, -36 = -4*l + t*y. What is the highest common divisor of 110 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x, 2*w - 3*w + 1878 = -4*x. What is the highest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 482.406 + -482. Let o = b + -0.405143. What is o rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15881, 15888, 15899, 15914?\nAnswer: 15933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-1)*-2*(-4)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-5*f**2 - f**3 + 5*f**2) + (-12 - 7 + 7)*(135*f**3 + 62*f**3 + 94*f**3).\nAnswer: -3490*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 309 + 303 = 0. What is the highest common divisor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s + 2*s - 768*s**2 - 10*s + 13*s + 96 + 0*s wrt s.\nAnswer: -1536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let l be b(-3). Let x be 13 - (0 + l)\/(-1). Suppose 9*u - x*u + 550 = 0. What is the remainder when u is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euou when four letters picked without replacement from {k: 2, o: 1, e: 1, u: 2, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655 + 663. Suppose 4*u + 4*s - 80 = 0, 6*s = 3*s. Calculate the highest common divisor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*j = -143*j - 387. Let q = j + 133. Solve -4*b + h - 1 = 0, -q*h - 8 - 5 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6298 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6 - 11) + 9 + -6 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(-8)\/42 + 4\/14. Let o(c) = 358 + 2*c**n - 358. Let r(z) be the first derivative of -4*z**3\/3 - 1. What is r(o(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2912589 and 62349.\nAnswer: 20388123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 316612 to the power of 1\/2, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95922368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320828 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 7*f**2 + 5*f - 4. Calculate v(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f - 555 = 2*s, -2*f + 839 = -3*s. Let i = s - -296. What is the remainder when 113 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwuubwuuqwwbuwb. What is prob of picking 1 u, 1 w, and 2 b?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) + (-5*sqrt(484)*2 - sqrt(484)) - sqrt(484))\/(sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) + -1*sqrt(288)*6)))).\nAnswer: -121*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2839956.03 to the nearest 10000.\nAnswer: 2840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 12 = 0, -5*g - 3*x = x - 189. Let s(d) = d**3 - 40*d**2 - 6*d + 64. Is s(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 27621*l - 82863. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -3, -67, 4, 2 in increasing order.\nAnswer: -67, -3, 2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 36 = g. Let b(k) be the third derivative of k**4\/6 - 10*k**3\/3 - 6*k**2. Let f be b(9). What is the greatest common divisor of f and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2005 - -3)\/2 - 3. Suppose -3*v - 248 = -z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m - 18. Let o be f(6). Let n = o + -59. Sort -4, 5, n, 1 in ascending order.\nAnswer: n, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153a3 + 343?\nAnswer: -15060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 1\/12*x**6 - 5*x**2 + 0*x**5 + 2\/3*x**3 + 0 + 0*x**4. What is the first derivative of t(d) wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7416 and -55\/8652?\nAnswer: 51912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 313 (b) 2\/19 (c) -40 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194*k + 594*k + 77 - 8 + 598*k.\nAnswer: -2*k + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*g + 4, -2 = -5*g - w + 2*w. Suppose g = -3*o + 3*l + 525, -2*o + 4*l + 358 = -0*o. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 44*q - 3 = 0, 10 = -j + 4*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 26. Suppose -5*u - 3*r + 127 = 0, -2*u - 4*r + x = -2*r. Calculate the remainder when 44 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.577 + 0.5770832. Round h to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 0*s + 2*v + 12, -12*s - 3*v - 26 = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2231518 and 10?\nAnswer: 11157590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4256 and 52764824.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1472 and 7061?\nAnswer: 451904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/1762 - 643145\/5286. Let n = 215891717\/66 + -3270969. Let k = n + y. What is the common denominator of 1\/12 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/60 - (2 - 4). Let k = 21\/10 - r. Sort k, 0.5, 2 in ascending order.\nAnswer: k, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*p + 20 = 0, 3*p = -79*t + 82*t + 42 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 10*h - 22. Is b(15) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3679 - -4381. Calculate the lowest common multiple of 1053 and u.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2\/7 (c) 0.02 (d) 1\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7030 and 6271870?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1. Let f(q) = -8*q + 4. Let s(c) = -f(c) + 4*t(c). Let x(g) = -3*g. Let y(w) = -5*s(w) - 14*x(w). Let p(j) = 2*j**2. Calculate y(p(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24965 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n + 1. Let s be 105\/(-18) - 40\/240. Let a(r) = 12*r + 1. What is s*h(i) + 5*a(i)?\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -154, -531, -1268, -2485?\nAnswer: -4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861551 is divided by 861492.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(17)*-2 + (sqrt(204)\/sqrt(6))\/sqrt(2) - 6*(sqrt(17) + 1*sqrt(17) + 4)*-6))**2.\nAnswer: 19564*sqrt(17) + 97629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7630701778 to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358409526 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3 - 1157*t**2 + 59725*t - 754375 = 0.\nAnswer: -1207, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-1 - 2 + 2)*(-3 - 1 + 2) - 3 - 1 + 6 - 2 + 2 - 2 + (-48 + 22 - 67)*(-3 + 1 + 1))*(2 - 2 - 2 + 18*w).\nAnswer: 1674*w - 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28566 or -40528?\nAnswer: -28566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.7. Let y = x - -1.5. Are -2\/5 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -63016?\nAnswer: -63016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*g + 10 = -4, -4*l - 4*g + 20 = 0. Suppose l*r + 3*r - 20 = 0, 2*q + 3*r - 54 = 0. Solve -3*v - q = -3*b, 18 + 7 = -5*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {f: 6, c: 4, g: 1, t: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-2 - 3\/(-2)). Let f = n - -10. Suppose -4*a - f + 19 = 0. Solve -4*h + 5 = a*i, -i - 1 = -h + 5*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292.379 rounded to the nearest 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 - -327. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 + -350\/3. Let d be (9\/(-4) + 1)*(-10)\/50. What is the second smallest value in z, d, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -z + 4*y, -4*y + 6 = -2. Let a = -1052\/9 + z. Let -1\/9*u**2 + 0 + a*u = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16076, 32156, 48236, 64316?\n\"Answer: 16080*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*k - 4*o - 25, 20 = 2*k + o. Suppose 3*j - k = -0. Solve 2*z + j*s = z + 10, 6 = 3*z + 3*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/55)\/((-5)\/225) - 6. Solve y*t - 44*n + 39*n + 13 = 0, 3*t - 7 = -5*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821b (base 13) in base 3?\nAnswer: 100121200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2 - 36*h - 199. Let c(q) = 35*q**2 - 108*q - 584. Let v(j) = -3*c(j) + 8*n(j). Factor v(l).\nAnswer: -(l - 40)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15195289 < 15195291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o - 7. Let z be b(5). Let f = 3 - z. Suppose 78 = 2*v + f. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76269891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 27. What is n(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(4\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 11715.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684538637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*i + 756*i**2 - 767*i**2 + 6*i + 1303*i**3 + 10*i - 18*i - 9 wrt i?\nAnswer: 7818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (1\/2)\/((-1)\/8). Let t(f) = 86*f + 7 - 8 + b*f**2 - 87*f. Suppose -3*y = -5*w - 14, y - 15 = 3*w - 3*y. Calculate t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8016 + -7977. What is the greatest common factor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 less than or equal to 736\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2*-1 + 532)\/(4 + -3) is divided by ((-89)\/(-9))\/((-44)\/(-396)).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(675))\/sqrt(9) + sqrt(24)\/(sqrt(8) + sqrt(8)*-3 + sqrt(8)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6. Let o = n - -16. Let y = o - 14. Solve 5*i = u - 14, -2*i = -y + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by -2\nAnswer: 305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 - -366 - (-2 + 1 - 6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -10\/3 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from nyinnicn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t - 72. Let m be d(6). Suppose 5*z + 10*v = 11*v + 5, m = -3*z - v - 5. Is -2.9 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 254144*q - 4036823296.\nAnswer: -4*(q + 31768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 299002422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5572 divided by -7.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/328*(2 + 2946) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246376*l**2 - 122563*l**2 - 123809*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 27 = -3. Suppose t*d - 3*d = 6. Let r(c) = 2*c**2 - 8*c - 3. Is r(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/15 - 2*x**3\/3 + 40*x**2 + 1. Let r(i) = 19*i**2. What is q(r(v))?\nAnswer: 1444*v**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 253, 513, 743, 913, 993?\n\"Answer: -5*k**3 + 15*k**2 + 250*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301320.7s in nanoseconds?\nAnswer: 301320700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -9. Let o(h) = h**2 + 6*h + 3. Let k be o(a). Determine n, given that -10 + 3 + 82*n**4 + 42*n**2 + 3 + 98*n**k - 2*n + 24*n**5 = 0.\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500582469.\nAnswer: 7, 11, 32475097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1226 * 41\nAnswer: 50266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105824 (base 10) to base 4.\nAnswer: -121311200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2719.1782 take away 0.0522?\nAnswer: -2719.2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 57*b**2 - 440*b + 54. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*i + 735*i**2 + 134*i**2 - 67*i)*(i - 2*i - i).\nAnswer: -1738*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 744889800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1414 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let q = -0.2 - -0.3. Which is the closest to o? (a) 0.2 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1473, -2943, -4413, -5883?\n\"Answer: -1470*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*n + 284*n - 264120 = 0. List the prime factors of n.\nAnswer: 2, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 6*b - s + 4, 3*b - 1 = 4*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**5*o - 156*h**3*o - 5*h*o - 104*h + o - 1 wrt h?\nAnswer: -60*h**3*o - 936*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20137, 40422, 61009, 82048, 103689?\n\"Answer: 25*h**3 + h**2 + 20107*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 156 = 2*h. Calculate the greatest common factor of 26 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228)*-2)\/(sqrt(96)\/sqrt(2) - sqrt(12)))**2 - (4 + sqrt(76) + 1 + sqrt(2299) + 1 + -4).\nAnswer: -13*sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 5*y**2 - 5*y + 3. Let c be (1 - (-18)\/(-10))\/(12\/(-90)). Let f be q(c). What is the greatest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:36 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1 - (-6 - (-246)\/48). Which is the fourth smallest value? (a) 4 (b) 0 (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -559, -3, -1 in decreasing order.\nAnswer: 4, -1, -3, -4, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 83524055.\nAnswer: -1\/83524055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 2*f + 8 = 36*o, -f + 4 = 2*o. Let p(d) be the second derivative of -7\/12*d**4 + o*d**3 - 3*d**2 - 14*d + 0. Differentiate p(m) wrt m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -233de29 - -1?\nAnswer: -233de28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 12. Suppose 5*o - 2*b = 36, -5*o - b + 44 = b. Calculate the remainder when 6 is divided by f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*x = -6, -2*y - 6 = 20*x - 16*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.7 - -19. Sort -4, t, -0.6.\nAnswer: -4, -0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 610 + -1860. What is l rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1. Let r(z) = -2*z - 2. Determine -4*b(h) + 6*r(h).\nAnswer: -12*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((0 + 13 - 8) + -3)) + -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r + 7 - 7 as v + s*r and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1698471165 to the nearest integer?\nAnswer: 41213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1643727 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:06 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (15 - 10) + 40 - (13 - 10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 38 = 3*a. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401797358 rounded to the nearest one million?\nAnswer: 402000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r = 59*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2\/2 - w - 1. Let n be z(-5). Suppose 0 = -2*m + n*m - 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 5*q**2 - 4*q - 4. Let f be a(-5). Let r = -2 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 4280236*m + 12840709\/3.\nAnswer: -(m - 1)*(m + 12840709)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*r + r + 2*r - 1 + 7*r wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5343?\nAnswer: 5346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 12. Suppose -3*b + b + 12 = i*f, b = 0. Let g = -6 + 10. Sort -4, f, g.\nAnswer: -4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let n = 59036 + -59029. Let x(h) = -h - 2. Suppose 2*a - 3*a = 4. What is a*x(s) + n*u(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/140)\/(((-120)\/(-15))\/(-80)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23. Suppose s + 2*u + 0*u = 431, w = -2*s - 2*u + 856. Suppose -3*g + 42 + 199 = 4*c, -s = -5*g - 2*c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*a + 9 - 3, -4*s = -5*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + p + 762*p - 2*p + 535*p + (-3 + 0 + 1)*(0*p + 0*p + p).\nAnswer: 1295*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.8 - -32. Let v = 0.21 + -0.31. What is the fourth smallest value in 0.5, d, v, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*s - 5*o - 11, 0 = o + 5. Which is the nearest to 1? (a) s (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7211?\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -180, 17266, 1 in decreasing order.\nAnswer: 17266, 3, 1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1989, 7948, 17879, 31782, 49657, 71504?\nAnswer: 97323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 6, -0.2, 5, 24037, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w - 36*w - 29*w - 27*w + 49*w - 1. Let m(o) = 15*o. What is 9*m(l) + 2*y(l)?\nAnswer: 13*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9975908 = -59*m - 9980392 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 2*i**2 - 9*i - 12. Let m be p(-3). Let q(r) = r**3 - 5*r**2 - 7*r - 4. Give q(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 22. Let i be j(15). Let d = 11 + i. What is the third derivative of 7*y**2 - 7*y**4 + 10*y**4 + 2*y**d wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30384639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 1:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -47. Let m be (x\/7)\/(25\/(-35)). Which is the third smallest value? (a) 10\/11 (b) -0.1 (c) 3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -100. What is the tens digit of (-12 + (y - -1))\/((-4)\/116)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/18 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7500.506 millennia in years?\nAnswer: 7500506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-66))\/((-555)\/(-333))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -84*w**2. Let t(b) = -2*b**2 - 30. Let u(i) = -6. Let k(o) = -t(o) + 5*u(o). What is j(k(l))?\nAnswer: -336*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 4632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3094638.481 rounded to the nearest one thousand?\nAnswer: 3095000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 317797 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.4, 167, 32, -1\/7, -3\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4704 - 4626 + 8*r + 9408.\nAnswer: 8*r + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 751*y**8\/168 - 85*y**4\/8 - y**3\/2 + 598*y**2. Find the second derivative of p(b) wrt b.\nAnswer: 30040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164341 (base 7) to base 13\nAnswer: -11bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvjn. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + s**2 + 7*s - 5. Let x(f) = 2*f**3 - 6*f + 4. Let d be (-8)\/10*(-20)\/4. Let a(h) = d*r(h) + 5*x(h). Factor a(j).\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -f, -5*f - 2 = -u + 10. Let x be (-44)\/(-16) + f\/(-8). Suppose -8*p**2 + p + 7 - 5 + 6*p**4 - p**x + 3*p - 3*p**3 = 0. What is p?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/5)*g)\/g)**3*(g**(-1\/3))**(-2\/31) assuming g is positive.\nAnswer: g**(1963\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56451754 divided by -56451754\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 216 = 9*n. Solve 6*o - n = 8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -621 and -631 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 6\/2 + 20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3669749*s + 18 - 3669658*s + 57 to the form a + l*s and give a.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3241526 or -3241524?\nAnswer: -3241524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26077 + 26090. Suppose -2*h = -6*h + 516. Calculate the remainder when h is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1, -2*u - x + 5*x + 12 = 0. Suppose u*c + 4 + 8 = 0. Let f(g) = -g**3 - g + 1. Let d(s) = -5*s**3 - 3*s + 3. Give c*f(n) + d(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2884355 and 50?\nAnswer: 28843550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9 + 0)*-3. Let b = 1 - r. What is the smallest value in -2\/5, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113.3 + 118. Let k = 4.700042 - j. Round k to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2 - 2*k - 1\/2*k**2.\nAnswer: -(k - 1)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 1 + 0*c**2 + 0 + c**2 + 4. Suppose -5*y + 5*k = -25, 4*y + 2*k - k - 35 = 0. Is m(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(4*sqrt(72)))**2.\nAnswer: 13\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -46. Let k(r) = r**2 + 4*r + 4. Let x be k(-3). Put w, -1, x in descending order.\nAnswer: w, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61db2 - -c?\nAnswer: -61da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2613 + -2615. Sort -199, v, 1 in ascending order.\nAnswer: -199, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 26?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7132494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:57 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17*q\/(q\/q**10)*q)\/(q**(1\/4))**(-3\/2))**(-48) assuming q is positive.\nAnswer: q**(-1362)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**1\/x))**(-34))**(-2\/35))**34)**(5\/2) assuming x is positive.\nAnswer: x**(1156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 32*l - 30*l.\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 10*y + 9. Let f(p) = -p**2 + p + 1. Let m(o) = 2*f(o) - t(o). Let z be m(-7). Let w be ((-8)\/2)\/(0 - -1). Sort w, 4, z.\nAnswer: w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 6*o - 15. Let i be t(9). What is the second derivative of -i - 12 - v**3 + 24 + v wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 15386982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 180012797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797.465 years in centuries?\nAnswer: 57.97465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9077, 9070, 9057, 9038?\nAnswer: 9013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = s + 4*g, -2*g + 6 = -4*s - 7*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.3. Let q = 2339 - 2337. Put 0, q, x, -4 in decreasing order.\nAnswer: q, x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29689871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300.6 + -301. Let s = -1.2 + -17.8. Put r, s, -0.3 in descending order.\nAnswer: -0.3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-370)\/50)\/((-25)\/(4125\/(-374)))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*t = 301*t + 2*y - 56, 16*t + 3*y - 234 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51a - 5be?\nAnswer: -ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:31 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - 102. What is the remainder when m is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 = 4*l, 45 = -3*l + 4*d + 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 134, -22?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 25*q**2 + 94*q - 31. Give r(-16).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136265 is divided by 1175?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5\/5 - 241168*r**4\/5 + 3635848708*r**3\/5 - 21809304536*r**2\/5 + 43614750704*r\/5 - 29075214368\/5 = 0.\nAnswer: 2, 30143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40112\/15 + -2673. Let m be 0 + -3 + (-118)\/(-30). Let f = m - j. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose -5*l = -j - 25, -4*l + q*l - 3*j + 39 = 0. Let z = -36 + 66. Calculate the greatest common divisor of z and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 72 = 9*y. Solve -12*h + y - 6*h + 2*h**2 + 30*h + 19 + 4*h = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 - 2*t. Let g be (-8)\/(-40) - (-118)\/10. Let s(n) = -n**3 + 14*n**2 - 24*n - 5. Let b be s(g). List the prime factors of h(b).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*o**(-19))*o)\/o*o*o*o**5\/o)\/(o**(-6)\/o*o*o\/(o*o*o*o**(-2)*o*o)) assuming o is positive.\nAnswer: o**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-69*r + 38*r - 4 - 1).\nAnswer: -62*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 45, 7, -71?\n\"Answer: -20*p**2 + 62*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j + 6 - 45 + 29 - 4*j**2 - 62 = 0. Calculate j.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -43484?\nAnswer: -4345c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -159, -1289, -4359, -10341, -20207, -34929?\n\"Answer: -162*z**3 + 2*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 7, y: 4, s: 6}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 37585.3157 to the nearest integer.\nAnswer: 37585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - 3*m**2 + m + 2. Suppose 8 = -2*g, -u + 7 = 2*u - 4*g. Let s(k) = -4*k - 10. Let v be s(u). Give l(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let x(h) be the third derivative of -7*h**4\/12 - 24*h**2. Determine x(i(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 138\/11, -2, 0.3, 63, 4 in descending order.\nAnswer: 63, 138\/11, 4, 0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2465 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 819 and 42159?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -278773.3 rounded to the nearest one hundred?\nAnswer: -278800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 274, 416, 588, 802, 1070, 1404, 1816?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 + 6*p - 5. Let a(m) = 7*m**2 - 12*m + 9. Let x(v) = -3*a(v) - 5*b(v). Let s be x(6). Is s less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 405. Let u = -6869 + 6734. Let d = r + u. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91009847869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2250 = 30*y. Calculate the least common multiple of 27 and y.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 - 1 = 0. Let z be (-4)\/3*(-18)\/i. Suppose 0*k + k - 3*a - 3 = 0, 3*k - a - 33 = 0. Solve z*d - 4*y = -2*y - 11, 0 = 3*d - 3*y + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*b + 31, 0*w - 2*w + 2*b + 26 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 25*c**3 + 2015*c**2 + 41200*c + 24000 = 0?\nAnswer: -40, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33940332 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 275*a = 276*a + 1, -3*v + 7*a = -7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 16*h - 22. Let s = -15 + 36. Calculate the remainder when q(21) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -729\/5 + 145. What is the nearest to -4 in 5, 2\/11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*((m*(m*m**(2\/7)*m)\/m*m)\/m)\/m))\/(m**(-8\/13)*m)*(m\/(m*(m*m**9)\/m*m))**(-16) assuming m is positive.\nAnswer: m**(14408\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(5\/(5\/2)). Let v = g + 2. Let z = 4 - v. Which is the closest to 1\/5? (a) 5 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-114)\/4*(-14)\/(-21). Let m = 2 - v. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10791 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*r + 2 + 4*r + 9*r)*(7*r - 4*r - r + (0*r + 0*r - r)*(0 - 3 - 4))*(-5*r + 3*r + r).\nAnswer: -792*r**3 - 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 7:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 15. Let p = 23 + f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15*(-10)\/(-13).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17371 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 500, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**2 - 52*j + 26*j**2 + 69*j**3 + 417*j**3 wrt j.\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uayauauayfauyuu. What is prob of picking 2 a and 1 u?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 + 43*y + 9. Let b be n(-9). Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279492.3983 rounded to the nearest one hundred?\nAnswer: 279500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**3 - 32*b + 32*b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 4 (c) 10.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10306539 and 22878?\nAnswer: 20613078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(704) + -3 + (sqrt(704)*4)**2) + (-5*(-4 + sqrt(704) - sqrt(704))*2)**2.\nAnswer: 16*sqrt(11) + 24122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.86 (b) -1 (c) -0.69 (d) 3 (e) 4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 13. Let f be (6\/h)\/(3\/(-15)). Let j be (1 - f)\/(-5 - -4). What is the closest to 0 in -5, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.43097 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*h = -290, -3*g = 5*h - 40 - 134. What is the highest common divisor of 232 and g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - 99\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 + 5*i. Let k(p) = -3 + 3 - 7*p**2 + 9*p - 15*p. Calculate 6*d(r) + 5*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-594)\/207) - (-1)\/6. Suppose b = u*t + 56, -5*b + 3*t + 147 + 99 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 359524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/20 + 16*g**2. Factor y(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**25*((((r*r**(1\/3))\/r)\/r)\/r)**(-29) assuming r is positive.\nAnswer: r**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + z - 211*z**4 + 6 - 4 + 2*z + 709*z**4 wrt z?\nAnswer: 5976*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*q**2 + 6*q**2 + 62 + 2*q + q**3 - 32 + 31 wrt q?\nAnswer: 6*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-72) - 50\/(-18). Let i(t) = -2 + 0*t**3 - 2*t**2 + t**l - t + 3. Give i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 109. Let t be l(23). Let m(f) = -4*f**2 + 7*f + 3. Let v(r) = 3*r**2 - 7*r - 3. Let z(g) = 4*m(g) + 5*v(g). Calculate z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 246 - 194?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-28)\/(-16)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -31. Let n = b + 69. Suppose -3*k - n = -4*k. Calculate the common denominator of 75\/8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17021 (b) -8\/3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/(-44)*46688\/24*(0 - 3) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -140, -139, -136, -131, -124, -115?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 1 + 1 - (10611 - 10628)) + (-1 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.36817 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1534, -3078, -4630, -6190, -7758?\nAnswer: -9334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209412207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 0.19, 5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 28)*7*(-8)\/(-20)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60691115 take away -313628?\nAnswer: -60377487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1632510, 1 in decreasing order.\nAnswer: 1632510, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhiw when four letters picked without replacement from witkzhkitttw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 1:25 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 4*a**5 + a**5 + 0*a**2 + 0*a**2 - 2*a**5 + (1 + a**3 - 1)*(0*a**2 - 5*a**2 + 4*a**2) - 1157984*a**2 + 3895*a**5 + 1157984*a**2.\nAnswer: 3891*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -572 + 575.63. Let z = t - -0.37. What is the nearest to -1 in z, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 382*i - 1720. Determine r(91).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 407\/4 - 2857\/28. Let l = 0.2 - 0.4. What is the biggest value in 2, l, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2658261, 1\/3, 2\/15?\nAnswer: 2658261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1310711 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -106, -159?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylyl when four letters picked without replacement from {y: 8, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -30*t + 153. What is the hundreds digit of g(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1084.9.\nAnswer: 5424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -126\/450719?\nAnswer: -126\/450719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.13 + -0.13. Which is the closest to 0.4? (a) 4 (b) 0.28 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24277, 24054, 23825, 23590?\n\"Answer: -3*f**2 - 214*f + 24494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -81*t**2 - 14. Let k(c) = -13*c + 74. Give k(j(l)).\nAnswer: 1053*l**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1154, -141 in descending order.\nAnswer: 5, 3, -141, -1154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1000011?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = -0*b. Suppose 10 = b*g - 0*g. Suppose -g*p = -0*p. Solve -a + 4*a - 15 = p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 9*f - 3. Let k be t(-5). Suppose -w = -b - 44, -k - 57 = -w - 2*b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-22)\/(-8)) + (-254)\/(-8). Suppose z + 6 + 42 = 3*i, -2*i - z = -k. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + v - 3. Let w(d) = 49*d**2 + 7*d. Let z(y) = -114*y**2 - 16*y - 1. Let f(a) = -7*w(a) - 3*z(a). Calculate -7*f(g) - 6*q(g).\nAnswer: -5*g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = 2*k + k, -2*z - 4*k = -18. Let a = 2 - z. Let i = -103 - -723\/7. What is the closest to i in -0.3, a, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(2\/15))\/(h**(-1\/4)*h))**(-28) assuming h is positive.\nAnswer: h**(-469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((72\/(-12))\/3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -34. Suppose 3*b = 2*f - 2, -5*f - 3*b + 16 = -5*b. Suppose m*i - f*i = 0. Solve -h = -5 - i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40180*y - 40173*y + 1189*y**3 + 80352*y.\nAnswer: 1189*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/3915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3*n + 13)*(-n + 0*n + 2*n) + n**2 - n**2 + n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -4*c. Suppose 0 = -3*m + c. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/5 + 144*l**3\/5 + 1024*l**2\/5 = 0.\nAnswer: -64, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 0\/(1 + -3). Suppose -l + 6 = s*l. Suppose -3*g = l - 17. Solve 0 = -u + 2*x + 9, x = -g*u + u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 7*z**2 - 7*z + 6. Let v be s(6). Factor 0 - 3\/4*p**4 - 3\/4*p**3 - 1\/4*p**5 + v*p - 1\/4*p**2.\nAnswer: -p**2*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -586*a**2 + 1242*a + 1243. Give k(-1).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 275514.2 litres?\nAnswer: 275514200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.98 and -9.7609.\nAnswer: -34.7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:21 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -12, 4 in decreasing order.\nAnswer: 6, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*i - 2072 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907 divided by -1607\nAnswer: 907\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -82. Suppose -3*g - 20 = g, m*v + 35 = -4*g. Let w(r) = -r**3 - 6*r**2 - 5*r - 5. Determine w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/2)*w)**(-14\/3)\/(w*((w*(w*w**(-12\/7))\/w)\/w)\/w*w*w**(-2\/19)))**(-2\/29) assuming w is positive.\nAnswer: w**(12380\/11571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 - 76*o - 156 = 0.\nAnswer: -2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 173, 161, 147, 131, 113?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12587 - 12337. What is the least common multiple of 675 and f?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*d - 26 = 26, -a + 5*d = -21. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333464842.\nAnswer: 2, 5869, 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16 - j**2 - 12*j + 13*j + 4. Let x be q(4). Solve -5*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2888*l - 3022*l + 5841*l.\nAnswer: -69*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - ((-12)\/(-15))\/(4\/10). What is c in -n + 2*c**2 + 6 - 10*c + 12 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 0*j = -0*n + 4*j - 228, 3*n - 6*j - 7*j = -141 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 75*v**5\/4 - 315*v**4\/4 + 78*v**3 + 30*v**2 - 36*v - 12 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1405 + 42?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/2))**(1\/40)\/(n**2*n*n\/(n\/(n**(-1\/7)*n))*n)*(n**(-1)\/n*n)**(-2\/181)*n**(-2\/17)*n*n**(-1) assuming n is positive.\nAnswer: n**(-8488503\/1723120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 549*x + 117. Let m be a(-26). List the prime factors of m\/(-12) - (270\/40 + -6).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 145 + 154 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2316278?\nAnswer: 2, 1158139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2 - 3*t - 2. Let r(m) = 12*m**2 + 7*m + 5. What is 2*r(s) + 5*x(s)?\nAnswer: -6*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139451536.\nAnswer: 2, 7, 1245103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*x + 4*x. Suppose -x*t = k + 5 + 12, 2 = 2*k - t. Let y = 0.2 - 0.3. Which is the second smallest value? (a) k (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18 + 13)*(-8)\/10. Solve -5 + 1 = u*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -20, -53, -124, -245, -428, -685?\n\"Answer: -2*u**3 - u**2 + 10*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*r = 1 - 4, -2*v - r - 3 = 0. Which is the closest to -0.4? (a) -0.4 (b) 2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15363494?\nAnswer: 2, 23, 333989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15813 - -16060. What is the remainder when h is divided by -2*(1 + 0) + 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -183 - 1641. Suppose 0 = -2*d - 80 + h. Suppose 5*t - 41 = d. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m. Suppose -3*y - 591 = -m*y. Let n = y - -1967\/10. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - z)*(-2*z + 3*z - 2*z) + (-6 + 2 + 6)*(-6*z + z + 2*z)*(-2*z - 3 + 3) + 3*z**2 - 3*z**2 - 2*z**2 + (3*z + z - 3*z)*(-4*z + 0*z + 3*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1041 = -3*q + 702, -5*q - 5*g = -2895. Calculate the lowest common multiple of 288 and q.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1777 + -1771. Calculate the greatest common factor of 237 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 26\/9, -2, 1\/2899?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 - 3*h**2 + 4*h - 4. Determine r(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*o - 1 - 11527 = 9908. What is the remainder when o is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(147)) - sqrt(147).\nAnswer: -49*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -683 and -664 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 752 (b) -0.24 (c) 7 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 92 = -13*g. Solve -3*p = -q + 9, -2*p - 2*p - 12 = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l + 0*l)*(13 - 52 - 24)*(-l + 0*l + 2*l).\nAnswer: -189*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -93391*j**2 + 186665*j**2 - 93472*j**2 - 16*j**3 in the form a*j**2 + b*j**3 + s + z*j and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let v be g(-1). Let f(y) = 18*y**2 - 2. Let a be f(v). Let x = -39 + 55. Calculate the greatest common factor of a and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - d + 50, 15*a - 11*a - 2*d = 50. Calculate the smallest common multiple of a and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690811972?\nAnswer: 2, 431, 400703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10 + (-578)\/4. Let o = -222 - y. Let v = o - -109. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((8*6\/96)\/((-8)\/16))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 3*a + 1222 = 0. Let d = 98 + a. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/120 - m**5\/12 - m**4\/12 + m**3\/3 - 3*m**2. Let k = 3 - 7. Give t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3085.7 * 1.43.\nAnswer: 4412.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1366 + -1373. Let p(z) = -2*z**2 + 9*z - 3. Let f(s) = -s**2 + 4*s - 1. Calculate c*f(i) + 3*p(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by (-7)\/(((-5)\/(-10))\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17 = 2*u + 27, 5 = -d - u. Suppose d = -11*n + n + 110. What is the remainder when 80 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, g: 1, b: 4, n: 3, s: 7, e: 1}. Give prob of sequence sbg.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70451, 70455, 70471, 70505, 70563, 70651, 70775, 70941?\nAnswer: 71155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.9, 1\/223?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12251 + 28494. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290629210 and 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54.7 + 55. Which is the third biggest value? (a) 0.28 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + k = 4*k + 4, 4*m - 4*k + 32 = 0. Suppose 3*d - 8*d - 3*y - 40 = 0, 4*y = 0. Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*((1*sqrt(76)*4)**2 - (sqrt(76) - ((sqrt(76) + -2)*-3)**2)) + 3).\nAnswer: -58098 + 2220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2463*j**2 - 119*j**3 + 4927*j**2 - 2464*j**2 + 120*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.559964mm to kilometers.\nAnswer: 0.000005559964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = 4*j, -a - 2*j + 3 = -3*j. Suppose -4*l + 8 = a, -3*l + 138 = 2*q - l. Let g = 120 - q. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162108077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22130132302 (base 4) in base 14?\nAnswer: 513bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 819 = -229. Solve -f = 6*o - 83 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 3*f**5)*(-3 - 1 + 5) + 5*f**2 + 2*f**5 - 7*f**2 + 0*f**2.\nAnswer: -f**5 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8492*h. Let i(k) = 6*k**2. Determine i(w(y)).\nAnswer: 432684384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20033.\nAnswer: 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 70930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5662.352 micrometers to nanometers.\nAnswer: 5662352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.7032635 - -0.4032641. Let b = x + 8.3. Round b to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 + 384. Let s = r - 141. What is the highest common divisor of s and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/sqrt(36) + ((sqrt(112) - sqrt(112)*-2)\/sqrt(4))**2.\nAnswer: 2*sqrt(7)\/3 + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*((5 - 1)\/8)\/2. Let y = 22 + -22. Suppose y = -2*z - 2*u + 4, 0 = -z - 3*z - u - 1. Put -8, s, z in increasing order.\nAnswer: -8, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -13 - (-11 - 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1104 or 3041?\nAnswer: -1104","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -259818 + 726071. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*v = 118*v + 7, 4*i - 7 = v. Sort 0.5, i, -0.03, 2, 0.036 in ascending order.\nAnswer: -0.03, i, 0.036, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110914 is divided by 3144?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51488 + 3*-4*9\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175180 + -54656087\/312. Calculate the common denominator of c and 35\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 4.9. Let k = -2767\/13 + 213. What is the second biggest value in k, 0.3, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + -14. Let x be (-45)\/o - (-1*1 + 3). What is the nearest to -0.1 in 1, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 + 2*f - 1557. Let z be d(0). What is z rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 8\/9*r**2 + 0 - 1\/9*r**4 - 4\/27*r**3 + 85*r + 1\/135*r**6 + 1\/90*r**5. Factor z(j).\nAnswer: 2*(j - 2)*(j - 1)*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(171) - ((sqrt(171) + 2*sqrt(171) + 2)**2 - sqrt(171))) - (0 + 1*sqrt(1539))**2*3.\nAnswer: -9246 - 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**4 + 2*d**3 + 5*d**2 + 1. Let o(t) = -2773*t**4 - 6*t**3 + 2272*t**2 - 3. Let z(u) = 3*c(u) + o(u). What is the third derivative of z(p) wrt p?\nAnswer: -66480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5064770 (base 9) to base 11.\nAnswer: -1584702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 7*r**3 + 8*r**2 + 3*r**2 + 48*r + 0*r**2.\nAnswer: 7*r**3 + 7*r**2 + 48*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11223 - 232233201?\nAnswer: -232311030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46 - (-64)\/(-96)*483\/(-14)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1089*q + 8 + 380*q - 8 in the form k + p*q and give p.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 q when three letters picked without replacement from {j: 6, q: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 11 + 9. Let g(l) = -l - 10. Let d be g(-7). Sort d, -2, r.\nAnswer: d, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54812 is divided by 27389?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-20)\/30.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6881442 is divided by 5249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5617 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqwqqiwi. What is prob of picking 1 w and 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let s be l(-3). Suppose -4*u + s*u - 3*f = -10, -5*f = 3*u - 22. Solve 0 - 8*v - 4*v**2 - u + 4 = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*t - 72, 2664 = a - 4*t + 2524 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.627\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9605568 and -43\/47040.\nAnswer: 48027840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/36*(-16)\/(-24))\/((-3)\/(-2)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 - 7*r**2 - 8*r**2. Let h(j) = -19 + 2*j**2 + 19. Give d(h(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 104. Calculate the common denominator of 4 - g*5\/60 and 52\/(-12)*13\/91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2000\/17 - 482\/17*s**3 - 2\/17*s**5 + 200*s - 56\/17*s**4 - 860\/17*s**2 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 + 86*f**2 - 834*f - 815. What is o(-51)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13018 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -r + 4*w, -5*w - 8 = -3*w. Let h = -152 - r. What is the highest common divisor of 575 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 + 778*t**4 + 40318*t**3 - 351778*t**2 - 34017120*t + 34327800 = 0.\nAnswer: -326, -45, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540 and 548480.\nAnswer: 14808960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16493986 to the nearest integer?\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1870 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 61*p**2 - 1. Let t(h) = 5*h. Give v(t(g)).\nAnswer: 1525*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*v - 44, 0 = -217*l + 215*l - v + 22 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 7, v: 5, j: 2}. What is prob of picking 1 y and 2 l?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28*((1 - -2) + -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4288 - 2768. Suppose 5*k = 2*d + 1520, 3*d - 6*d = -5*k + v. Suppose k = 7*o - 578. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5998 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2 - 16092*v + 15780107 = 0?\nAnswer: 1049, 15043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 84. Let f = k - 35. Solve -3*z = f + 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 2*i**4 - 2*i**2 + 11*i + 3*i - 3 in the form n*i**2 + k*i**3 + m*i + x + u*i**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130252.\nAnswer: 2, 32563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-45) + (-104)\/(-10). Which is greater: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2466)\/8220*84\/9?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9387 less than -9408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.2, 2\/7, 0.95 in descending order.\nAnswer: 0.95, 2\/7, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790301.\nAnswer: 71, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 244 + -242 + (0 - (-1 + 2)). Let b(i) = 4*i**3 - i**2 + i. Let z be b(1). Put c, 9, z in decreasing order.\nAnswer: 9, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1280 = -3*b, 10*x - 8 = 6*x. What is the common denominator of -40\/71 and b\/(-12)*2\/(-6 - -10)?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s + 2*s - s as n*s + l and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42032 is divided by 2498?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3 - s**2 + 4*s**2)*(-3*s + 7*s - 31*s**3 + 32*s**3).\nAnswer: s**5 + s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152580601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**3 + 19*s**2 + 6. Let c(u) = -155*u**3 + 265*u**2 + 85. Calculate -6*c(k) + 85*x(k).\nAnswer: -5*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73918.51 milligrams to tonnes.\nAnswer: 0.00007391851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.605 rounded to one decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 - 155. Let o(b) = b**3 + 2*b**2 - 7*b + 5. Let c be o(w). Solve -j = -c + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 9. Let g be b(4). Suppose 3*w + 5*f = -21, w + f = g*f - 7. Let u(l) = -l**2 - 7*l - 4. Determine u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 31*c = 26*c - 1090, 0 = 2*c - 4. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*o + 7*g - 92 = 608*o, 7*o - 9*g - 100 = -6*g for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9993 minus 75523?\nAnswer: -75516.0007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 5 + 1367*t - 4 - 1360*t + 17 + 10.\nAnswer: 7*t + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + -4?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 1. Let u be m(-2). Suppose 2*l - 5*d - 16 = 0, -u*l - d = -3*d - 19. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 1. Let y(h) = 5*h**3 + 25*h**2 - 30*h - 25. Let u(q) = -25*g(q) + y(q). Find p such that u(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 7)*(-6*v**2 + 2*v**2 + 33*v**2) to the form b*v**2 + m + t*v and give b.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 45747 and 44573 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*k - 7, f - 9 = -0*k + 5*k. Let s = f - 2. Determine z, given that z**2 + z - s + 2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 8*(-330)\/88?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 11*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8624056 minutes?\nAnswer: 51.744336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20469 and 1.469?\nAnswer: -30068.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4202846 to the nearest integer?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4112540242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 43 = -2*z, z - 44 = -5*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8223*a - 71127 wrt a?\nAnswer: 8223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -0.94. Let v = -0.16 + y. What is the second smallest value in 1\/3, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4506464*z**5 + 2*z - 5279525 wrt z?\nAnswer: 90129280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.3 (c) 20 (d) 1\/4 (e) -2\/11 (f) 819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2942 and 2936 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-4 - -1) - -1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48760.\nAnswer: 2, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 17*l - 24*l + 41*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24247 or 24246?\nAnswer: 24247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/15 + 2*k**4\/3 + 14*k**3 + 56*k**2. Factor o(h).\nAnswer: -4*(h - 7)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.81122 + -62488.6.\nAnswer: -62480.78878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3360 - -31?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25633 + 2?\nAnswer: 25635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -40*z**2 - 2. Let d(c) = 23*c**2 - 3*c + 18. Let w(f) = -8*f**2 + f - 1. Let l(y) = d(y) + 3*w(y). Give j(l(o)).\nAnswer: -40*o**4 + 1200*o**2 - 9002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 - 4*y**3 + 4*y**3 + (4*y - 4*y - 2*y**3)*(2 - 1 + 1) + 2 - 2*y**3 - 2)*(-7 - 4 + 4) to the form l + k*y**2 + q*y + n*y**3 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72556126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**3 - g**2 - 297*g - 2060. What are the prime factors of y(-7)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31\/(-2)*(-5 + 3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/68311, 1014 in decreasing order.\nAnswer: 1014, 2\/9, 1\/68311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m - 16*m = -416. Let f(s) = 8*s**3 - 3*s**2 - 4*s. Let x(j) = -9*j**3 + 2*j**2 + 3*j. Calculate m*x(c) + 3*f(c).\nAnswer: -12*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*m + m + 13, c + 3*m = -9. What is the units digit of ((-106)\/c)\/(4\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 517*v**6\/30 - 209*v**4\/6 - 336*v. What is the third derivative of l(b) wrt b?\nAnswer: 12408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d5b (base 15) to base 3\nAnswer: 211122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovl when three letters picked without replacement from {u: 4, n: 2, m: 1, l: 2, o: 2, v: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 4. Let i = -71 + 108. Suppose -i = -2*l + 195. Let n(s) = -42*s**2 - 38*s**2 - 34*s**2 + l*s**2. Give n(v(g)).\nAnswer: 2*g**2 + 16*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 48032*i + 144102.\nAnswer: -2*(i - 3)*(i + 72051)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(14742\/2847) - 6\/4?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 216395450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8788804 is divided by 4394401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18224 and 5240.\nAnswer: 11936720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - i + 4 = -11, -5*i = -15. Which is the second biggest value? (a) 1\/6 (b) 5\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/28 + 6\/144*0. What is the nearest to b in -0.3, 2\/11, -1.83?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 + 0 - 3 - 7*l**2 + 4*l**2. Let k(c) = c**2. Determine 3*k(s) - q(s).\nAnswer: s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0667280059 rounded to 4 decimal places?\nAnswer: 0.0667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 720 = 73*b - 76*b, -5*w - 4*b + 755 = 0. What is the remainder when 733 is divided by w?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/127225 and 57\/695?\nAnswer: 17684275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 3, k: 2}. What is prob of sequence oojk?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 q when three letters picked without replacement from {q: 2, h: 1, j: 1, a: 2, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 8\/15, -109, -1\/4 in increasing order.\nAnswer: -109, -1\/4, 0, 8\/15, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10279.841 - 10273. Let z = 0.66 - 0.701. Let k = z + a. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 10 - 5)*(2 - 2*t - 2) + 6 + 4*t - 6)*(-2*t + 4*t - 3*t + 0 + 0 + 2*t + (1 - 3 + 3)*(3*t + 2*t - 3*t) - 3 + t + 3).\nAnswer: 104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - (-1 + 132\/2)) + 0. Let z be (-615 - 0)*46\/a. Suppose -74 = -4*i + z. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112 + 22?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 9) to base 7\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 141 - 141 - 51*h + 58*h.\nAnswer: 2*h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -4, -10, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -2. Let x = 3.4 - 5. Let l = -1.9 - x. Which is the third biggest value? (a) -3 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 10*h - 35. Calculate q(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2356 by 4.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54775618 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96738468521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let j = a + -2.1. Let o be 1*(4\/6)\/2. What is the closest to j in -2, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let q(k) = 4*k. Let a(n) be the third derivative of -n**4\/24 + 2*n**2. Let j(s) = 21*a(s) + 6*q(s). What is t(j(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 251 = 1295. What is the highest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/20 - 5\/25?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0 + 12\/(-3)). Put 1, 5, 3, n in descending order.\nAnswer: 5, n, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1235 and -183.\nAnswer: 226005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j - 10. Give v(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 3 = -11*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -1037.07?\nAnswer: -30075.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -3430, -5210, -6992, -8776?\nAnswer: -10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70590 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -24. Let f = 51 + l. Solve -5*c - f - 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 6 (c) 0.02 (d) -2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 0*s + 0*s)*(-3 + 2 - 1) - 5*s + 3*s + 3*s - 3 + 3 - 2*s - 161 + 18*s + 161 - 4 + 4 - s)*(0*s + 2*s - s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1103547443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -2, 13\/3, -0.3, -1\/9 in ascending order.\nAnswer: -2, -1.3, -0.3, -1\/9, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/18511 - 1869635\/222132. Let k = 10268\/13 - 143851\/182. Calculate the common denominator of k and g.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -173*y - 406. Let l(p) = 174*p + 407. Let z(s) = 6*g(s) + 7*l(s). Is z(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 4\/37, -1, 0.76?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10002404 + 3?\nAnswer: -10002401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -59\/4603228?\nAnswer: -59\/4603228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 0. Suppose -g - 2 = -3*r. Suppose -4*u + 122 = -5*y, 3*y + 49 = r*u - 97. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 - 10*y + 1\/8*y**4 + 3\/80*y**5 - 3\/8*y**3 + 0. Factor x(t).\nAnswer: 3*t*(t - 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1816 + 217. Let a = -432 - x. List the prime factors of a.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -26 - -82 - 52?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -67 - 221. Let k(a) = 48*a - 2*a**2 - w*a. Let x(q) = 4*q**2. Give k(x(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454 = -24*p - 742 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 16 = 0. Let h(m) = -m**3 - 3*m**2 - 8*m - 10. Let y be h(-3). Put y, i, 3 in ascending order.\nAnswer: 3, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 134517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**6\/90 + m**5\/10 - m**4\/3 - 7*m**3\/3 - 2*m + 79. Let g(t) be the third derivative of v(t). Factor g(n).\nAnswer: -4*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let x(f) = -9*f**2. Calculate c(x(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + w + 6 = 0, 2*h = -w + 2 + 1. Solve 0 = -h*f + 16 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27.20435mm?\nAnswer: 27204350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 266693137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 40*i + 6167. Let p be y(-154). Let h = -3 - -6. Let m = 8 + -4. Sort m, p, h in decreasing order.\nAnswer: p, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 402169, -640 in decreasing order.\nAnswer: 402169, 0, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10626.\nAnswer: 2, 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42 and -4.20481612.\nAnswer: 37.79518388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-28)*(-95844)\/(-11410)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 184 + 85 = 0. Suppose -p = -m*a + 6*a - 171, 0 = -2*a - 6. Is p != 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6) - 330\/12. Let y = -29 - u. Solve y = -3*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2 + 30*f - 24. Let q be w(16). Let b be q - 25\/(-5)*1. Calculate the highest common divisor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 + 2)*6 - -4)*-4. Suppose -39 + p = -h + 4*k, -5*h + 83 = 4*k. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 379*s**2 - 543*s**2 + 1 - 1 + 5 - 4 as q*s**2 + t + y*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 16\/3, -216.8, 4 in descending order.\nAnswer: 16\/3, 4, -0.08, -216.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.5. Let s = -49\/20 - -13\/4. What is the nearest to s in n, 0.3, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228751 (base 13) to base 7\nAnswer: 6646252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 2012*j + 2011*j - 22, 6*j + 148 + 4 = 22*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90a42 - b5?\nAnswer: 9098d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -4041, 85, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/((-5)\/170). Let n be (-6)\/s - (-49)\/(-17). Which is the smallest value? (a) 3 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*f = -48, 3806*n - 3810*n + 2 + 36 = -2*f for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 3, -496535, 2 in increasing order.\nAnswer: -496535, -35, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.28, -3, -0.02, -2\/3, 5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-2\/5)))**34*(p**(-1\/4)\/p)\/p*p**(-5)\/p assuming p is positive.\nAnswer: p**(-1117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3269 divided by 2955\nAnswer: -3269\/2955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 178 = 5*o. Let r = o - -12. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7262.73896 to the nearest ten.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85442757 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.057425 times 0.5\nAnswer: 0.0287125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108760258.\nAnswer: 2, 7177, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5399*y - 5066*y + 11093*y)*(-y + 0*y + 3*y)*(2*y**2 + 2*y**2 - 2*y**2).\nAnswer: 2512*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/(-441)*(1\/(-8))\/((-66)\/(-20988))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, 13, 2, -3507, -1 in increasing order.\nAnswer: -3507, -34, -1, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - 0. Let m = 0.2 + x. Let g = m + 0.1. Which is bigger: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q + 9*q - 4032. Let i = -219 - q. Solve -h + j - 6 = -1, h = -i*j + 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:34 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (51*(-3)\/(-198))\/((-1)\/215). Let a = 338383\/154 - w. Let b = 2357 - a. Find the common denominator of -67\/24 and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10844 + -5589. List the prime factors of t.\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13595?\nAnswer: 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24435 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 830 - 829. Is 1\/876 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001115459557 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -651. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let x = 4.6 - 4.3. What is the closest to h in -3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 601 and 1656356.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/(7\/(56\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-9)*(-183)\/(-2440)*6*2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (12 - (-240)\/(-10)). Solve -68*p = -66*p + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4116, 16836, 38164, 68106, 106668, 153856?\n\"Answer: i**3 + 4298*i**2 - 181*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*b + 19 = 75, 4*v = b + 97. Suppose 3*x + v = 59. Suppose -11 - x = -k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56559 is divided by 28275.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-8))\/(21\/56). Calculate the greatest common divisor of q and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/12 + 5*k**3\/6 - 4*k. Determine v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2659, 6271, 10121, 14209, 18535, 23099, 27901?\nAnswer: 32941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 8*f + 13*f + 17*f.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 times 1523\nAnswer: -12.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 3*r - 79. Calculate o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/229420 and -97\/504724.\nAnswer: 2523620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*k + 3, 0*k + u = 2*k - 7. Let g be (-3)\/(-1) + -3 + k. Solve -g*z = -7*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432))*6 + 0.\nAnswer: 12 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23693.93 - -23694. Put 12, 2, q in descending order.\nAnswer: 12, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51740399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from uclc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.06 (b) 4 (c) -11\/8 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 37, -2\/39, -3, 2\/17, -65 in ascending order.\nAnswer: -65, -4, -3, -2\/39, 2\/17, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30202301 (base 4) in base 16?\nAnswer: c8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9879713.4 times -0.07?\nAnswer: -691579.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 3*k - j, 5*k - 204 = -0*k + 2*j. Suppose -4*z + 11*z = k. Let o(p) = p**2 - 2*p + 3. What is the tens digit of o(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14709 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 9, v: 1, s: 1, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46441903?\nAnswer: 83, 559541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16857 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*t = -0*t, -4*t = 12. Which is the nearest to -0.3? (a) 0.4 (b) -0.2 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 87*k - 3. Calculate q(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose 5*b = 3 + 2, -3*m = w*b - 12. Suppose -3*k = -m*x - 114, -4*x = x + 5. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14588560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600141937 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 + 3. Let c = 0.06 - 1.06. Let j = -3 + 3.4. What is the nearest to 2\/5 in m, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 45*d**4 - 110*d**3 + 10*d**2 + 105*d - 55.\nAnswer: 5*(d - 1)**3*(d + 1)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 602435750 or -2\/3?\nAnswer: 602435750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/9)*m)\/(m\/m**(-2\/3)*m))**1 assuming m is positive.\nAnswer: m**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21466 - 21462.9299. Let l = o + -0.0601. Let u = l - 0.11. What is u rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:52 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/28 (b) 407 (c) 2\/3 (d) 0.145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:40 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522513.\nAnswer: 37, 41149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:33 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.187 - -0.013. Let r = 8.3 + -8. Which is the nearest to 0? (a) r (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -5 (c) -49 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -3\/19 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 395*r - 1508. What is the least common multiple of n(4) and 264?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:18 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m*m**2*m))\/(m*m**(1\/3))**(-2\/53) assuming m is positive.\nAnswer: m**(-4078\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.21 - -0.09. What is the nearest to 2\/3 in 4, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00192493492 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 18*i + 10479 + 25*i**2 + 10485 - 20966 - i + i**3 + i + (0 + 7 - 2)*(-3*i**3 + 4*i**3 + i**3).\nAnswer: 9*i**3 + 25*i**2 + 18*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 7. Let i = -38 + r. Let u be ((-9)\/6)\/(9\/i). Solve 0*t + t - u = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5\/12 + 23*n**2\/2 + 25. Let k(m) be the second derivative of s(m). Let h(x) = 1 - 1 - x. Calculate h(k(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 37*x**2 + 1. Let y be 2 + 1118\/(-65)*10\/(-4). Let v(i) = -18*i + y*i - 25*i. Determine w(v(k)).\nAnswer: 148*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) - 7\/(-3). Let r(q) = 2*q**3 - 9*q + 5. Let n be r(3). Suppose -4*h - 4*h + n = 0. Solve h*y = -w*k + 10, -10 = y + 4*k + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + -15 - (-226 - -191)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 1678*d - 558775. Calculate k(458).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(12) + 4 - sqrt(12) - sqrt(3)) + (sqrt(192) + -1)**2 - -1*(sqrt(24) - sqrt(168)\/sqrt(7)*-2)\/sqrt(8)).\nAnswer: -14*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -22 - (-3 + (2 - 3) - (15 - 77)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3017508*g**3 + 9*g + 3017744*g**3 - 9*g.\nAnswer: 236*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -858 by 6.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**3 + 1\/8*a**4 + 1\/12*a**6 - 1\/5*a**5 + 2 + 0*a + 0*a**2. Factor s(k).\nAnswer: k**3*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 less than -23263?\nAnswer: -23260.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 17 - 44)*(-4*m**3 - 3*m**3 + 13*m**3).\nAnswer: -456*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-429)\/65 + (7 - 0))*45\/(-162)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75)*-2 - (2 + sqrt(75) + -1))**2.\nAnswer: 90*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 9. Let f be g(15). Let q = -2 - f. Suppose -2*d + 2*l = -q, 0 = -3*d + 5*l + 90 - 29. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.228 and 447045649?\nAnswer: 447045648.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k. Let v be m(1). Let i be ((-2)\/(-5))\/(v\/15). Let a = 1 + -1.2. What is the nearest to 0 in a, 1\/4, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 478390.2 - 478392.199999. Let h = w - -2. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*v**2 + 104*v**2 - 46*v**2)*(2 + 1 - 4) as s + f*v + w*v**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - v = 0, -3*v = 4*z + 14. What is the tens digit of ((-38)\/57)\/(z\/2127)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 2:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26902?\nAnswer: 2, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 - 7 - 1 + 1)*(-15*j - 5*j + 34*j).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (-16 - 18) - -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 8685801?\nAnswer: 165030219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (8 - (8 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in -10.9, -2\/9, 0, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.038\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 223 + 17907245251.\nAnswer: 17907245474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:32 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z, 0 = -9*a + 7*a - 3*z - 13. Solve 2*r = -g + 7, -g + 1 = r - a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 22*l + 4. What is f(2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*o = -396 + 18988 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-14\/3) assuming w is positive.\nAnswer: w**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120065\/32 - -3750. Calculate the common denominator of (2 - (-340)\/48) + (6 - 3) and x.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 16*g + g + 2*g**2 - g**2 to the form w*g + x*g**2 + k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6 + 3 + 1 + 3. Let b(x) = 4*x + 2. Let k = -24 - -26. Give k*n(p) - b(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-5)\/(-240)*4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 591*i**5 + 259*i + 2?\nAnswer: 11820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -1\/4 (c) -1 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r + 3*r - 1339 = -267 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26454, -26594, -26976, -27720, -28946, -30774, -33324, -36716?\nAnswer: -41070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b + 4*w - 226 = 0, 4*b - 2*w = 338. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9342269 rounded to three decimal places?\nAnswer: -1.934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.402 rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(4\/5 + -1). Suppose -16 = 5*u - t, -p + 1 = 3*u + 3*t. Let x(j) = -131*j - 4 + 135*j - 3*j**2 + 10 - j**3. What is x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 + 9*d**3 + 11*d**3.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 1. Let z(a) be the first derivative of a**2\/2 - 6*a + 9. Calculate the remainder when m(1) is divided by z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-56)\/(-6)*15\/10. Suppose 2*l - 13 = -5. Solve 3*u + j - w = -l*j, -u = 3*j - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640956 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1260 and 67\/1176.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose z - 3 = -x*z. Calculate the remainder when 8 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-171))\/((-2)\/12))\/(54352\/203820).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 19. Let t(w) = w + 8. Calculate t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232\/3 - -81. Let h = 49\/15 - s. Let l = -1 + 2. Which is the nearest to l? (a) h (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269 = -201*o - 1947 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(-1 + k + 1) + (-12*k - 9 + 9)*(-2 + 2 - k).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:16 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22953 times 4\nAnswer: -91812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 minutes after 5:22 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12823 is divided by 12546?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -153.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 541482874.\nAnswer: 541482877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83133 is divided by 80410.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1659 - 197 = -51*z - 326 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26360*k*n*x*z**2 - 26*k*x**2*z**2 + 3*k*x*z**2 - 4*n*x**2 - 18*x**2*z wrt n.\nAnswer: 26360*k*x*z**2 - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3975\/60)\/(-53))\/((-5)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = -3*p - 15, -2*w = 3*p - 1. Let q(s) = -s**2 - 14*s - 15. Is 11 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1992866 and -1992872 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 n when four letters picked without replacement from pgnpqnqsqxnnngg.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11\/8 + -17\/24. Let k = 40.1 - 38. Are o and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*1*5)\/(sqrt(60)\/(sqrt(40)\/sqrt(4))) - (-5 + 2*(sqrt(3) + -2)**2)*3.\nAnswer: -27 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {k: 2, f: 2, l: 1, z: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 - 7*s**2 + 3*s - 1. Let n(r) = -r**3 + r**2 + r. Determine -a(m) + 3*n(m).\nAnswer: m**3 + 10*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*0.0250507.\nAnswer: 0.3507098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -10*((-12)\/3)\/((-71360)\/23795 - -3)?\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 5*m**2 - 10*m**3 + 15 - 33*m - 65*m + 96*m as o + v*m**3 + d*m + n*m**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 6*a + 1. Is s(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13144 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48695 is divided by 23989?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**7\/735 - 37*g**6\/105 - 299*g**5\/210 - 25*g**4\/14 + 1393*g**2. Factor y(u).\nAnswer: 2*u*(u - 150)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 103*k**3\/2 + 52*k**2.\nAnswer: -k**2*(k - 1)*(k + 104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620)*1 - sqrt(45))\/(1*sqrt(108)))\/((sqrt(264)\/(sqrt(8)*-1))\/(2*sqrt(1100))).\nAnswer: -50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**42*(j*((((j*j**(-34))\/j)\/j)\/j)\/j)\/j)\/((j*j\/(j*j*j**(-2)*j))\/(j\/(j*j**(-2\/7)))) assuming j is positive.\nAnswer: j**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - (sqrt(2448) + 1))*5 - (sqrt(2448) - (sqrt(2448) - (sqrt(2448)*-2 + -1 + sqrt(2448)))))*5)**2*1.\nAnswer: -2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64036 is divided by 31995.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107841 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - z + 3. Suppose 0 = -4*r - 1 - 3. Let v = -7 - r. Let p be a(v). Solve -j - j - 5*m + 21 = 0, -m = -2*j - p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15899083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 2916226913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(343)*-1 - (sqrt(343) - (2*sqrt(343) + -2)**2)) + -4)*6.\nAnswer: -294*sqrt(7) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4656*c + 23516. Give y(-5).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -468, -1018, -1780, -2748, -3916, -5278, -6828?\nAnswer: -8560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12675.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/506)\/(((-11)\/1386*-9)\/((-6)\/(-7))).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/(-116))\/((-75)\/24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15832 - -0.1\nAnswer: 15832.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 21*j**2 - 10*j - 80. What is the smallest common multiple of x(-23) and 12?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 10*y + 12. Suppose -5*j + 45 = -r, -j + 9 = -5*r - 0*r. Let a be n(j). Solve -s + 1 = a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 25*b**3 - 3*b**2 + 3*b - 2. Suppose t = -77 + 79. Let w be a(t). Suppose -14*p = -2*p - w. Calculate the smallest common multiple of p and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/5 - 7294*b**2\/5 - 10219644*b\/5 + 11826351864\/5 = 0 for b.\nAnswer: -4014, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/71? (a) 4 (b) -170 (c) -10 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/27*-39 + (-21)\/(-28) and -56\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.1. Suppose 0 = 26*c + 31*c - 228. Sort 0.5, c, v.\nAnswer: v, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwgw when four letters picked without replacement from ppwpgpgggw?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27408 and 12?\nAnswer: 27408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-3 - (-10)\/4). Let l(m) = m**3 + 5*m**2 + m - 4. Let c be l(-2). Let w = 8 - c. Solve -w*n - 8 = 5*p + 9, 0 = -3*p + 5*n - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 23*v**2 - 60*v - 6. Let d be n(-20). Let c(a) = 0 - 5*a**2 - 7*a + 1 + 1. Let i(o) = -o**2 - o. Let j(k) = d*i(k) + c(k). What is j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2*(5\/30)\/((-10)\/20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 24. What is the common denominator of (584\/(-20))\/(y\/(-10)) and 13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + h. Let w(g) = -g**2 + 8*g - 1. Let t be w(8). Calculate p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12514 - 6162. What are the prime factors of q?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105167 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -459 - -1865. What is the remainder when c is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -5 (b) -171 (c) -2\/17 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8436341 is divided by 595.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139100863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 534 + -247. Let p = k - 288.8. Let o = -8 + 4. Which is the third biggest value? (a) p (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23949?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -542 - -545. Which is bigger: -3\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268168511 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 15. Suppose 0 = 4*l + r*y - 33, 7*l = 3*l - 5*y + 39. Calculate the lowest common multiple of l and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/60 + b**4\/3 - b**3\/2 - 131*b**2. Let j be (-12 + 0)*(-3)\/6. Calculate z(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1003.1889 months?\nAnswer: 0.083599075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:41 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 f, and 1 e when four letters picked without replacement from qqeqqeqqqfqf.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174340739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*k - 13, 29*k + 27 = 26*k + 3*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71750078.\nAnswer: 2, 35875039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -38*q**3 + 24*q**3 - 60*q**3. Suppose 13*y - 3*y - 4*p = -18, p = 2. List the prime factors of b(y).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 8 - (-5 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1012*m**5 + 23*m**3 + 2*m**2 - 26338 wrt m.\nAnswer: -60720*m**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 - 1)*(-19 - 3) and 2*(4 - (0 + 3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51989200 rounded to the nearest one million?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f + 4. Let m be u(3). Suppose m*z = 20*z - 4748. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1269491 - -2729491. What is s rounded to the nearest 10000?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 - 6626*n**2 - 4415*n + 2208 = 0.\nAnswer: -2208, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5880 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -15139*p**4\/6 + 4*p**2 - 6*p. Let c be o(6). What is c rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 15. Let o(i) = -i**2 - 7*i + 14. Let m(u) = 3*o(u) - 2*q(u). Find j such that m(j) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 8*n - 7. Suppose 3 = r + 2. What is the remainder when (-77)\/(-4) + r\/(-4) is divided by i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.8561513 to two decimal places.\nAnswer: 19.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -18*r**3 + 5*r - 8. Let w be 16\/3 + (-16360)\/1227. Let x(s) = -12*s**3 + 3*s - 5. Give w*x(z) + 5*d(z).\nAnswer: 6*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*12\/(-10). Suppose b = t*b - 10. Suppose -b*s + 439 = 29. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + p**2 + 7*p + 7. Let r(f) = -f**3 + 2*f + 2. Determine 2*d(i) - 7*r(i).\nAnswer: 3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 5*s**2 + s + 7. Let y be a(-5). Suppose -y*o = -6*o. Which is smaller: 3\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/(-696)*(-9)\/(-15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 - 1. Let b(j) = 56*j**3 + 42*j**2 + 42. Calculate -b(n) - 42*g(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = 2247*c - 2280*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -489 + 489 + 105*y + (-4 + 4 + 2)*(4*y + 0*y - 6*y) + (2 - 3 - 1)*(0*y + y + 0*y) - 4*y - y + 3*y to the form d*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 29. Let o be 2\/(-1) + (-24)\/(-10). Which is the closest to o? (a) 3 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4453 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4447\/5 + -889. Suppose 0*o - 51 = -3*o. Which is the closest to o? (a) 2\/7 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/5 - 3*j**4\/5 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2122136 is divided by 1060972?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 40. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2125, -1.\nAnswer: -2125, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyykyk. Give prob of sequence kyy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 86*g + 7. Let h be r(1). Let d = h - 83. Let a(m) = m**2 + 2*m - 6. Calculate the lowest common multiple of a(4) and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 + 23*i**2 - 2*i - 7*i**2 + 3 to the form k*i + p + m*i**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1412, 1, 0, -3.96, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.18 (c) 9 (d) 1418 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7279 - 0.1.\nAnswer: -9.8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.56 in 2\/11, -3\/13, -1\/7, 5, 24, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 + -123. Let h(r) = -r + 49 - y. Let k be h(4). Let b(m) = 5*m**2 + 4. Let z(l) = 14*l**2 + 11. Give k*z(o) + 11*b(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 0.1, 1115, 3, -0.02, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*a + 173*a - 7*a**2 + 164*a - 488*a.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 0, -n - 69 + 243 = 5*u. Suppose q + 113 = -3*f, 3*q + n + 115 = -3*f. Let x = q - -880\/9. Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6391783*w**4 + 9925966.\nAnswer: 25567132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/45)\/((-58)\/145)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 468\/312*(-2)\/6*-8. Let l be (-1*44\/16)\/(1\/b). Let h be 12\/9*(-6)\/(-4). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 3.9. Let z = -350 + 398. Which is the second biggest value? (a) z (b) 1\/5 (c) f (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -t + 23 - 2, 0 = 3*x - 3*t + 36. Let o be ((-30)\/x)\/(3\/(-9)). Is o\/(-3)*60\/25 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369179 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 5*j - 2. Let y be q(5). Calculate the highest common divisor of y and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 1. Suppose -25 = 3*a - 4*l, -4*l + 23 - 1 = -2*a. Let b be j(a). Suppose -b*q - 9 = -34. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -15 + -11 + 20 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24185 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -344. What is the highest common divisor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(5)) + 5*(sqrt(5) + sqrt(15)\/sqrt(3)) - (sqrt(180)\/sqrt(4) + sqrt(5) + -5))*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1275 and -19\/7920300.\nAnswer: 7920300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2224008 and 34918.\nAnswer: 28912104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -438, -3, -15438 in descending order.\nAnswer: -3, -438, -15438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {p: 1, o: 1, t: 2, v: 1, z: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(3\/36*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1175\/4186 - 3\/598. Sort -33, -5, 0, a in decreasing order.\nAnswer: 0, a, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7321011, 7321194, 7321377, 7321560?\nAnswer: 7321743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*h + 4944 = -1524 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/20 + h**4\/2 + 5*h**3\/6 - 2*h**2 + 2*h + 137. What is b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119493b - -2?\nAnswer: 1194941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 22 - 29. Let y(z) = 4*z**2 - z + 2. Let q be y(-4). Let w = q + n. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 - w**4\/6 - 5*w**3\/6 + 12*w**2 + 1. Calculate b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - t)*(-1 + 4 - 1) - 2*t + 7*t - 17*t)*(2 - 1 - 3).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/828 and 139\/666.\nAnswer: 30636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185.087 - -0.087. Let l = q - -184.8. Let g = -2\/85 - 32\/85. Which is the nearest to -1\/3? (a) l (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -11. Suppose -d + 4*p + 9 + 4 = b, 4*p = -2*d + 2. Solve 0 = d*l - 5*r, -5 = -2*l + 4*r + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**2 - i - 13. Is t(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2477, 2, -25, 0.081?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 6*n**2 + 37*n**3 - 2 - 7*n**2 - 40*n**3 - 2*n as m*n**4 + l + p*n**3 + b*n**2 + t*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*a - 20 = j, -5*j - 2*a = 1. Let t be (-26)\/(-36) - 2\/4. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 19. Which is greater: -0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyks when four letters picked without replacement from {p: 3, y: 8, s: 5, b: 1, k: 2}?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 241900 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 0)*(-4)\/(-8). Suppose 19 = o - 4*j - 40, 3*j = 5*o - 278. Calculate the remainder when o is divided by (76\/(-20))\/(f\/(-10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by -151.\nAnswer: 104\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 - -0.01. Let w = -120 + 1559\/13. Which is the third biggest value? (a) w (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*((-1)\/6)\/((-1)\/30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-4) + (-8 - -18)\/(-20). Solve 7*t = 6*t - d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443 + -425. Suppose 2*c = -2*c + 56. Calculate the lowest common multiple of f and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 655 + -653. Sort 8, 3, q, -11, -5 in ascending order.\nAnswer: -11, -5, q, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 2*s = 14*h + 674, 5*h = -5*s + 1125. Let t = 304 - h. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -99, -0.3, -35, -1.9, 2.1?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2140863 + 26.7010697. Let n = -25.9151 + y. Let b = 1 - n. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.074 and -11.24.\nAnswer: -0.83176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/1334172 and 117\/444724?\nAnswer: 1334172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.32 - 2.11. Let y = u - 0.21. Let l = -1.9999875 + y. Round l to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106624 = -2*v + 67878. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -103, -206, -317, -442, -587, -758, -961, -1202?\n\"Answer: -b**3 + 2*b**2 - 102*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 32. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(156\/45)\/13.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -37*x - 1043. Determine y(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 268 = -39*b + 16*n, 6*b = 3*b - n - 4 - 22 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {h: 2, r: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 1.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5932 or 5930?\nAnswer: 5932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -15838*a - 805. Is i(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 20 = 2*c, -84*c = -82*c + 22 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/6 - (-92)\/138. Let x be j\/(-7)*(45\/(-6) - -4). Solve 0 = x*d + 1 + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 2*l**2 - 2*l**2 + (-3*l + l + 0*l)*(-3*l + l + 3*l))*(-l + 0*l + 2*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2 + -3 - sqrt(147)) + 6*(2 + sqrt(147)) - ((-1 + sqrt(147) + 2 - (-1*(sqrt(147) - sqrt(147)*2))**2) + 0).\nAnswer: 35*sqrt(3) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f**3 + f**3 + 37*f**3 - 6*f**3 - 6*f**3 + (-3 + 3 - 2*f)*(0*f + 0*f + f**2).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131046 = -3938*q - 14660 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q**2 - q - 5. Let s be k(2). Let o = -6\/23 + -28\/69. What is the second smallest value in o, 5, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.9 + -1.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020202 + 120?\nAnswer: 1021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2886*n + 4684*n + 14384 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 28*j + 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-218)\/27 - (501 - 489) - 16\/945.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7515329.\nAnswer: 37, 203117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*o + 2, 5*u + 20 = 3*o + 2*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(3*((-48)\/9 - -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -104 and -108 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2280 and 160977120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let c(v) be the third derivative of 0 - 21*v**2 + 0*v**3 - 11\/12*v**4 + 0*v. Give c(h(o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 14. What is the remainder when j(16) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 5 + 6)*(-h**2 + h**2 + 2*h**2) + 4*h**2 - 3*h**2 + 0*h**2 to v + f*h**2 + x*h and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1449 (b) -10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:44 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -705446, -705438, -705430, -705422?\n\"Answer: 8*c - 705454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1740)\/(-340) - (-2)\/(-17). Let u = -36 + 41. Suppose 5*b = -5*o - u - 10, -3*b - o = i. Let v(m) = 13*m**3 + m + 1. Give v(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18889 + -98502\/5. Let z = -72611\/90 - d. Find the common denominator of 25\/14 and z.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -7. Let c be w\/(-2) + (-2)\/4. Let -d**2 + 2*d**2 - 2*d + c - 2 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(2\/13))\/m*m)\/m)**(-2\/5)*(m**5)**(2\/15) assuming m is positive.\nAnswer: m**(118\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 21*c - 238 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*y - 1558 = -6*y - 22*y - 5998 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -18*g**3 - 11*g**2 + 57*g + 139. Is h(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 4*i - 1. Let l be 29 + 0 - (-6 + 4). Let p be (-1)\/(-4) - l\/(-4). Is q(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42425595 by -2828373.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2 - 3*z - 3. Let q(y) = 11*y**2 + 2*y + 2. Let n(f) = -3*q(f) - 2*t(f). Let u(b) = b**2. Give n(u(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Let s(u) = 3*u**2 + 3*u + 1. Is s(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrgr when four letters picked without replacement from {r: 3, g: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 21 = 0. Let i = -4 - h. Suppose -i*w + 5*z + 23 = 7, 6 = w - z. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.24. Let w be 2\/2 - 12\/16. Which is the closest to w? (a) 0.1 (b) -2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(450)*-1 + sqrt(450)))\/sqrt(9))\/(-2*(-4*sqrt(160) + sqrt(160))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 92 + 409 = -5*q, 3*b + 9 = 0. Let a = -96 - q. Is (15144\/a)\/((-3)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11802.4 - -0.1974.\nAnswer: -11802.2026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**3 + 40*w**2 + w + 2. Let j be f(8). Solve 0 = 6*q - 16*q - j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 5\/(10\/512). Suppose 4*q - f = -q. Suppose 2*i = -0*i + q. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -239 and -8.8?\nAnswer: 2103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Find the common denominator of 10813\/(-924) + 4\/14 and o\/(-3) - (-95)\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -112*r + 260. Calculate the smallest common multiple of 1233 and k(2).\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119\/4 - -30. Is 123 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 4. Let c be w(-2). Suppose c = -3*a + 5*k + 89, 3*k + 13 = a - 2*k. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 times -8?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + c - 1 + 2)*(-3*c + 15*c**2 - 4*c + 4*c)*(c + 8 - 8).\nAnswer: 15*c**4 - 18*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j + 5*b, -5*j + 2 = -4*b. Solve 0 = j*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/59, 5, -1, 26, 94, 5\/8?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4684*h - 2335*h - 2334*h.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 - 2*l**4 - 2 - 47*l - 4*l**4 - 2*l**3 + 46*l in the form u*l**3 + q*l**4 + v*l + o*l**2 + i and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:04 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 5*m - 2*m - 2*m. Let f(r) = -r**2. Calculate f(h(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75584.21g in tonnes?\nAnswer: 0.07558421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + sqrt(210)*-2 + sqrt(210) - sqrt(210))\/sqrt(6)*5)\/((3*sqrt(500) + sqrt(500))*6).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(112) + 1)*-1 + -5.\nAnswer: -12*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 839604 and 5856?\nAnswer: 6716832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -122*u**2 - 1341*u + 12. Let c be y(-11). Let o(d) = -d**2 + 1. Let l(h) = 2*h**3 - 4*h**2 - 3*h + 6. What is c*l(z) - 4*o(z)?\nAnswer: 2*z**3 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.199925 - -1.2. What is f rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 2 - 14*q - 2 + 9*q. Let o(n) = n - 1. Let i = 0 + 6. Let p be o(i). Calculate f(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003056 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 24, 37, 54, 75, 100?\n\"Answer: 2*k**2 + 3*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1330, 3 in decreasing order.\nAnswer: 1330, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 412\/(-24) - 3\/(-18). Let b = 19 + l. Suppose 3*m - 127 = b*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34692989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - 55*i + 1509. Give a(-33).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15, -165 = 2*z + 2*a + 9. Let o be ((-12)\/z)\/((-12)\/(-30)). Factor o*j**2 + 3 + 2*j.\nAnswer: (j + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 32. Suppose 0*c + a = -4*c, 0 = 2*o + 2*c + 2. Suppose 55*s + 117*s - 2760 = -288*s. Calculate the greatest common divisor of s and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 - 39 = 16656*c - 16621*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(35\/95))\/(-64*36\/(-4608)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 6. Let p = 17 - 10. Calculate the common denominator of ((-177)\/21)\/(d\/7) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let f = 0.8 + -0.74. Let v = f + -4.06. What is the nearest to 1 in u, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*w - w. Let n = w + -9. Solve 4*k - m = -13, n*m = k + 8 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - 4 - 1) + (-2 - -8). Put o, 7, 5, 4 in increasing order.\nAnswer: o, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13318231 by -1.\nAnswer: 13318231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 15 - 7 = j - 6, -3*b - 21*b - 88 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -509603*a**3*d*p - 19925*a**3 + 2*a**2*d - 12*a**2*p - 2*a**2 - a*d*p - 1 wrt d?\nAnswer: -509603*a**3*p + 2*a**2 - a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(17) - sqrt(425)) + -2 - (sqrt(17) - (1*sqrt(153))\/sqrt(9)))**2 + (-6*2*sqrt(102))\/(sqrt(24)*-3)).\nAnswer: -1656 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3909 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9779442 millennia in months?\nAnswer: 11735.3304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*c - 1193, 2*t - 2*c - 1398 = 1020. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -28\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.62 + 203.62. Is -1 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.41 + 20.81. Which is the smallest value? (a) 17 (b) w (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + 1. Let a be k\/(-7) - (-60)\/14. Suppose 2*x - 11 = -4*n + x, -4*x - 16 = -a*n. Solve -w = s, -4*w + n*s + 0*s = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022122121211 (base 3) in base 4?\nAnswer: 10231010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.4, 0.5, 118, -5\/21, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110035?\nAnswer: 5, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79971*q + 2 - 79974*q + 0 - 2.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 754*b**2 + 42798*b - 2110914 = 0. What is b?\nAnswer: -291, -117, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 50.25103 millilitres?\nAnswer: 0.05025103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwzczzzwwzczzcpcz. Give prob of picking 1 c and 2 w.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, m: 7, u: 3}. Give prob of picking 3 m and 1 u.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-4))\/q)\/(q**(2\/7)*q))**(2\/59) assuming q is positive.\nAnswer: q**(52\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (0 - (2 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 2*z - 3 + 2 + 6. What are the prime factors of a(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 5*t - 2. Let r(g) = -g**2 + 10*g - 9. Let v be r(7). Let w be (-3 + 0)\/(v\/8). Give n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6142011 + 79791\nAnswer: 6221802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6023859.1 days?\nAnswer: 860551.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 7*i + 11. Let t be y(-9). Suppose 0 = -4*s + 2*a + t, -s + 114 = 3*s + 2*a. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -31, -75, -153, -277, -459, -711?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -469 - -472. Let j(k) = k + 3. Let h be j(0). Suppose d + m*b = 9, h*d - b - 18 = 19. Solve -5*z + 24 = 4*c - 2*c, 4*z - d = 2*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and -11 - -12 - (8 + -2)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i. Suppose -5*o + 4 = -3*v, 0 = 2*o - 4*v + v + 2. Let a(f) = 4*f**2 - o*f**2 - 3*f**2. Give a(p(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0.012. Let o = r + 19.242. Let h = o - 20. What is h rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127.3 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r**2 + 9532*r + 15048 = 0.\nAnswer: -11\/7, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7393 and 8624.\nAnswer: 63757232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.255408979 to 2 dps.\nAnswer: 11.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 11*y + 16. Let n be i(9). Calculate the highest common divisor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.785 nanoseconds to microseconds.\nAnswer: 0.548785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 15\/4*j**4 + 0*j + 0*j**3 + 9\/2*j**2 - 5. Find the second derivative of g(y) wrt y.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 3*k**2 - 87 + 82 in the form w*k + t + i*k**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23637*f**2 - 4368.\nAnswer: 47274*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:35 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2736 or -2774?\nAnswer: -2736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:37 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 23 - -23 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 3 - -24) + 1. Let g be 2*(46\/(-5) - (-4)\/20). Let h = z + g. What is the highest common factor of h and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10194641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -315.8 and -0.355.\nAnswer: 112.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -599 or 7267?\nAnswer: 7267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vbbrorb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20102210220?\nAnswer: -20102210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b0 (base 15) in base 5?\nAnswer: 134230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*n**2 - 20*n**2 + 7*n**2)*(-1 + 1 - 7) as f*n**2 + v + l*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 15\/2, 4, -0.3, -8\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y + 58198 = -89*y + 821*y - 13010 for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 4, -42, 5, -5, -7\/10, 2?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -88007*o - 7. Let d be w(-1). What is d rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16523.\nAnswer: 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1165450 - -4?\nAnswer: 1165454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3026672945 to the nearest one hundred thousand.\nAnswer: 3026700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/499073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 22. Let z be x(11). Suppose l + 7*l = z. Solve l = 3*y - 15, 6*y - 2*y - 17 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose c*y = y + 9. Let j(z) = -2*z**2 - 11*z - 3. Let u(d) = -d**2 - 6*d - 2. Let v(w) = 6*j(w) - 11*u(w). Calculate v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.7. Let z(s) = -8*s - 5. Let k be z(-2). Suppose 10*u + k = 1. Which is the nearest to p? (a) u (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:50 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*m - 11. Calculate the remainder when 5 + -6 + 40\/m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26130 - 16307?\nAnswer: 7621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*n - 22*n + 2*n as a*n + c and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2 = 2*j - j, 0 = 4*j + l + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75170951 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 18 = 3*l, -13*l - 8 = 5*d - 45. Let p(r) = r**3 - 4*r**2 - 4*r - 1. Let j be p(5). Solve -g = 0, 0*g - g - j = l*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = 0, 4*r + 0*r - 152 = -4*k. Suppose -154*b = -6429 - 13899. What is the greatest common factor of r and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 76\/(-14) - 12\/21. Let s(y) = y**3 + 8*y**2 + 13*y + 8. Let t be s(g). Is 10*5 - (4 - t) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-28)\/10)\/((-5)\/25) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -1, 16*d - 15*d - 214 = 3*n. Let v = 214 - d. Solve v = -p + f, 0*p = -2*p + 3*f - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2037 - -3511. Does 146 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**3 - 33*r**3 + 100*r**3 + 36*r**3.\nAnswer: 134*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*z = 1092 - 2379 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 99 = 69. Solve 3*r - z = -2*r - 3*x, -5*x - 28 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8057 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 17*u**2 + 17*u + 18. Let i be t(-16). Suppose 2*q + 20 = 2*d, 1 = -4*q - 2*d - 27. Let o = 9 + q. Is i at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2*o + 3 - 3) + o + 0 + 0 - 5*o - 2*o + 4*o + (-3 - 2*o + 3)*(2 + 0 - 1).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + -15 + (-6 - -14). Suppose 3*b - 15 = -0*b. What are the prime factors of (((-3)\/1)\/n)\/(b\/(-745))?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/55*(-365)\/4 and 5\/(-6)*113\/45.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 226012671.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**4 + 3888945*d**3 - 116671350*d**2 + 1166723500*d - 3889095000 = 0. Calculate d.\nAnswer: -777819, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-30)\/(-34) + (294\/170)\/(837\/(-1395)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 401, 796, 1191, 1586, 1981?\n\"Answer: 395*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 66. Suppose -n = z*s - 31, 3*s = -3*n + 4 + 41. What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*r**3 - 1388*r**2 - 6*r - 829158?\nAnswer: 93*r**2 - 2776*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-108)*4)\/(28\/(-63))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 15 - 33 - 15.\nAnswer: g - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*u**3 - u + 0*u + u.\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + (sqrt(833) - 3*(sqrt(833) + 1)))*-6.\nAnswer: 18 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.046808, 212\/3 in ascending order.\nAnswer: -0.046808, 5, 212\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17\/4*u**3 + 35\/2*u**2 - 1\/2*u**4 + 10 - 23*u + 1\/4*u**5 = 0. What is u?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-20))\/((-2)\/(-10)). Let q be 4*((-15)\/a)\/5. Suppose -23 = -5*l + q*f, 4*f + 0*f = -2*l + 14. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 22 = 2*v, -2*v - 2*j - 75 = -9*j - 105 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9147347113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (69 + -10 - (60 + -78))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 47\/3, 0.01, -3\/1604?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1220200 (base 4) to base 6\nAnswer: -50544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -61. Suppose -2*c - m*y + 2*y = -9, -1 = -c - 5*y. Find the third derivative of c*j**2 - 25*j**4 + 21*j**3 - 21*j**3 wrt j.\nAnswer: -600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-279)\/(-8) - (-3)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959*w**2 + 1755*w**2 + 2252*w**2.\nAnswer: 4966*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36919 + 37241. Which is the closest to 2\/7? (a) m (b) -3 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*c**3*f + c**3*q**3 - 27*c**3*q + 26*c*f*q**3 + 3*c*q**3 + 32*c*q wrt c.\nAnswer: 204*c*f + 6*c*q**3 - 162*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-210)\/(-8)))\/(8\/4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -29, -64, -113, -176, -253, -344?\n\"Answer: -7*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*g - 1194, 4*g + 4*r + 597 = 5*g. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1845, -6002, -12475, -21264, -32369?\nAnswer: -45790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 7. Calculate s(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -31. Suppose -27*c = -35*c + 136. Let a = c + j. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j**5\/j)\/j)*(j**11*j)\/j assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 9*a**2 + 10 + 13*a - 4 + 0*a**2. Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 497422\/7 + -70854. Is 205 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 47*t + 168. Let p(y) = 2*y**2 - 9*y + 10. Let z = 12 - 4. What is the remainder when p(z) is divided by w(-50)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432282149 to the power of 1\/3, to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -970 + 1457. Let s = -487 + t. Let n be (-1*1)\/(-1) + -2. Which is the closest to 1? (a) s (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7568 and 2?\nAnswer: 7568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d*d**(2\/3)*d)\/d))\/d)\/d)\/(d\/(d\/(d\/(d\/d**(2\/23)))))*(d\/(d*d**(1\/3)))**(9\/2) assuming d is positive.\nAnswer: d**(-725\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*316\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**6 + 5*l**4 + 30*l**3 - 136658*l**2 wrt l.\nAnswer: 480*l**3 + 120*l + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 22716 + 33938 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o + 446. Let c(i) = -16*i - 1341. What is 4*c(b) + 11*q(b)?\nAnswer: 2*b - 458","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + 2 + -4 + 0. Let k = d - -5. Suppose 2*l + k = -3*r, -4*l + 3*r - 1 = 5. Let h(v) = -v**2 + 2*v + 4. Calculate h(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55775925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166919 is divided by 622.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 102?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -115.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114839, 103696, 92553, 81410, 70267, 59124?\nAnswer: 47981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 8*n**2 - 2 + 2*n + 4*n**3 - 3*n**2 - 3*n**2 in the form t + q*n**3 + s*n + h*n**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 508791778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -5704.9.\nAnswer: 570.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/27 (b) -0.5 (c) -2\/267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.044857 less than -31964412?\nAnswer: -31964410.955143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (40 + -10 + -6 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -475*v**2 + 1. Let t be x(1). Let b be t\/(9\/24*4). Let c = -6951\/22 - b. Calculate the common denominator of 67\/30 and c.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = o + 16, 5*o + 3*p - 8*p = 0. Let v(z) = 3*z**2 + 2*z + 1. Determine v(o).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 825\/4, 2?\nAnswer: 825\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566533344 to the power of 1\/2, to the nearest integer?\nAnswer: 23802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u + 9. Let a be w(-6). Let k(i) = -i**3 + 7*i**2 - 9*i + 13. Let x be k(6). Let t = -7 + 4. What is the closest to a in t, x, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 721.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -50*u + 9793. What is the units digit of g(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3946, 7978, 12168, 16594, 21334, 26466?\n\"Answer: 13*s**3 + s**2 + 3938*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45 and -14109.8952?\nAnswer: 14154.8952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -40 (c) -2.454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (-3 + (sqrt(363) - (-3 + sqrt(363))) - 5*(sqrt(363) + -3))**2)*3 + 0.\nAnswer: -4950*sqrt(3) + 27901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from wwwwjwjwjwwwwwwwwwww.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-35) - 9\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001298055308 to 7 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 11*m - 14*m - 25, -2 = f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/9*(-9)\/(-2). Let q be 103\/x*(-2 + (6 - 0)). Is 24 a factor of (q\/(-2))\/((-13)\/(-2) + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*q - 6 + 4, 14*f - 3*q + 50 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 times 0.4?\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Suppose f + w*j + 17 = 3*f, 11 = f + j. Let m(a) = 2*a + 2. Calculate the remainder when m(23) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -59. Solve 5*f + h - 22 = 0, -2*h - b = 2*f - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72574377 and 6?\nAnswer: 145148754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -0. Let q be (((-7)\/g)\/7)\/(4\/(-16)). Suppose 56*j - 58*j = q. What is the biggest value in 0.03, j, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47532 and 543822?\nAnswer: 18489948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + o + 12. Let q(h) = -6*h**2 + 5*h + 61. Give 2*q(d) - 11*w(d).\nAnswer: -d**2 - d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:12 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 46. Let i = x + 5. Let k be (-810 - -10)*(-1 - i). Round k to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = t - 10, -4*t = -v + 8 - 27. Sort v, 5, 1.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8735 and 52410?\nAnswer: 52410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 877, -0.4, 5\/4 in descending order.\nAnswer: 877, 5\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -87a (base 11) to base 8\nAnswer: -2037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.972*32.57\nAnswer: 161.93804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*a + 15 = 0, -4*a = -2*x - 0*x + 22. Suppose x*n = 2*n + 2. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 877102*4.\nAnswer: 3508408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n. Let x(l) = 5*l + 6. Let b be -2 - (6\/4)\/(6\/20). Let w(o) = -6*o - 7. Let t(y) = b*x(y) - 6*w(y). Determine t(a(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) -28 (b) 0.2 (c) 1\/6 (d) -8\/5 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003656 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5) + -3)*5)**2.\nAnswer: 150*sqrt(5) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 20. Let r(n) = -2*n - 7. Let k(w) = -17*r(w) - 6*x(w). Let v(o) be the second derivative of o**4\/12 + 155*o + 1. Calculate k(v(z)).\nAnswer: 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 2252*f**3 + 16*f**2 - 9008*f.\nAnswer: -4*f*(f - 563)*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 478861.35 rounded to the nearest one hundred?\nAnswer: 478900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**4 + 0*s + 0*s**6 + 3\/112*s**8 + 3*s**2 - 3\/70*s**7 + 0 + 0*s**3 + 1\/45*s**5. Factor p(u).\nAnswer: u**2*(3*u - 2)**2*(3*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 11.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 - -7 - 4)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4428822, 4428813, 4428798, 4428777, 4428750?\nAnswer: 4428717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {l: 2, y: 2, r: 6, i: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {z: 1, u: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(800) + 3)*6 + -5) + -1.\nAnswer: 75 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 996*v - 1. Let a(l) = -l**2. Calculate r(a(w)).\nAnswer: -996*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.220006562 + -31.22. Round q to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 83 = -3*p, p - 3*o + 0*o = 36. Solve -3*u - p = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m + 5. Let f(j) = -5*j - 4. Let y(v) = -4*a(v) - 3*f(v). Let r be y(-6). Round r to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 4060 - 12016. Let z = 619 + s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d**2 - 3*d - 3. Let a(x) = 10*x**2 - 2*x - 2. What is 3*a(g) - 2*v(g)?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*p + 4*j, 5*p - 25 = 9782*j - 9779*j for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526724808.\nAnswer: 2, 3, 21946867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7527593 + -7302965.\nAnswer: -14830558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 - 4*z**3 + 5*z**3)*(-192*z + 61*z + 62*z - 162333 - 158951 + 71*z) to p*z**3 + o + h*z + r*z**2 + s*z**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 58 (b) -12 (c) -5\/2 (d) 2\/55 (e) -226 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**3\/3 - 92*a**2 - 4604*a\/3 + 1628 = 0.\nAnswer: -37, -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 2:03 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(2\/75)*x*(x**7*x)\/x assuming x is positive.\nAnswer: x**(673\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, e: 2, f: 1, s: 2, q: 1}. What is prob of picking 1 q, 1 s, and 2 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 55*y**2 + 7*y - 74. Let b be t(19). What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b - 12. Let d be q(6). Suppose -2*o + 30 = -5*f, -3*o - 3*f - 2*f + 45 = d. Solve 0 = -5*u + o, 0 = -4*g - g + 5*u - 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514\/10*5845\/(-15197) + 20?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, 3, 0.03 in ascending order.\nAnswer: -1\/3, 0.03, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/4 + 31*o**3 - 2883*o**2\/2 + 4*o + 10. Factor m(x).\nAnswer: -3*(x - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + z - 3*z + (1 - 1 + 2*z)*(2 + 2 - 6) - 118 - 116 - 7406*z + 7411*z to the form t*z + r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1788506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dd4 - -3?\nAnswer: -1dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4749661609496.1 + 3.\nAnswer: -4749661609493.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - r - 11*r**2 - 2888*r**3 + 7*r**2 + 2.\nAnswer: -2888*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-48))\/(3\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f + 319. What is s(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 189*q**3 + 43 + 25*q**3 - 80 - q**2 + 52.\nAnswer: 206*q**3 - q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/28)\/q)**(-3\/2)\/(q\/q**(-39)*q\/(q**(-23)\/q)*q*q) assuming q is positive.\nAnswer: q**(-3665\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 744*w**2 - 264*w - 315*w**2 - 347*w**2 - 10*w**3. What is the first derivative of c(n) wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2740212 by -33.\nAnswer: 913404\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -134635 (base 15) to base 7\nAnswer: -10605101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = q - 34, 0 = 3*q - 5*q + 4*c + 28. Let u(t) = -t**2 + 12*t + 4. Let y be u(8). Calculate the greatest common factor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 469*r + 32. Let w be y(-28). What is w rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28207 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39441659*m + 2*m**3 - 5*m**3 - 39441659*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 1168, 2629, 4684, 7339?\nAnswer: 10600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 94, 1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x - 4. Let o be g(3). Let z(v) = v**2 - 14*v + 5. Let i be z(o). Solve 0 - 1 = -3*p + d, 0 = 5*p - 5*d - i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372885241, 372885242, 372885243?\n\"Answer: w + 372885240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from {a: 7, d: 5}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 5220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-2)*11*((-8)\/2)\/(110\/(-5))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(-2*(sqrt(243) - (-2 + sqrt(243) + 2)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -68.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -1\/22, -0.3 in decreasing order.\nAnswer: -1\/22, -0.3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (12 + -20) - (17 - 16) - -38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-54715)\/353*(-78)\/(-130)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 197, 313, 431, 551, 673?\n\"Answer: w**2 + 113*w + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -606649 - -606651. Factor 8\/5*o**3 - 4\/5*o**l + 0 - 4\/5*o**4 + 0*o.\nAnswer: -4*o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1256 and -61\/44?\nAnswer: 13816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -126*u**3 + 2*u**2 - 40*u + 41. Is a(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 2*g**2 + g + 2. Let k be i(-3). Find the common denominator of ((-2)\/(-8) - 3)*(6 + -5) - 2 and ((-18)\/24)\/(k\/(-84)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 1 (c) -18\/5 (d) -2\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 25 = 33*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d. Let b(p) = -3*p**3 - 26*p**2 + 39*p + 263. Let f be b(-9). Let c(z) = 33*z + 1. Determine f*q(l) - 3*c(l).\nAnswer: 13*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.02445 * -14302\nAnswer: -349.6839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/30 - 3*s**5\/20 - s**4\/2 + 14*s**3\/3 - 12*s**2 - 473*s - 2. Factor f(l).\nAnswer: (l - 2)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0119 + -0.1119. Which is the third smallest value? (a) -0.4 (b) 2.6 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4104 - -3?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 5*s + 10. Let t = 12 + -17. Let w be o(t). Solve 5*h - w + 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 30.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2492*m + 75268 = -64*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7078364 and 12.\nAnswer: 21235092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2 + 6*l. Let b(m) = -2*m. Let i(y) = y**2 + 2*y. Let k(o) = -5*b(o) - 6*i(o). Give 8*k(q) + 3*w(q).\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7338\/29 + -253. Sort j, 0.04, -1\/31.\nAnswer: -1\/31, j, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 5101620?\nAnswer: 15304860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-9)\/(-6) + -1 + -45 + (-59126)\/(-1360)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -0.6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2448) + -3)**2.\nAnswer: 144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1013\/3 in -1, 0, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 2*n**2 - 5*n**2)*((-51 - 6 - 40)*(-3 + 1 + 1) - 36 + 16 + 25) to the form v*n**2 + f + o*n and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i - i**2 - 2*i**2 - 5*i. Let b(w) = 2*w**2 + 3*w. Let k(d) = 10*b(d) + 6*u(d). Let n(q) = q. What is k(n(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*w + 185 = 0, -3*w + 15 = -6*w. Let m = h + -54. What is the units digit of (-1*m\/(-12))\/((-3)\/72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:22 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1005 and 42?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52271 = 1475*v + 5071 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1, -200277 in descending order.\nAnswer: -3\/4, -1, -200277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 61. Suppose -b + 5 = 2*g, f*g - b - 5 = 15. Solve 0 = -g*n - 0 - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 14*a**2 + 12*a - 4. Let p be z(13). Let h = p - -25. Solve 2*c - 4 = -q, 4*c = -q + 5*q + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t - 38 = -3*i, 0 = -3*i + 2*t + 37. Let z = -8 + i. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 61 = 14. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -16. Let k = -0.06 - 1.94. What is the nearest to k in i, -2, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193982570 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a*a\/a**(-4\/9)*a)\/(a**(3\/4)*a**(-1\/16))*(a**(-2\/3)*a*a)**(10\/7)\/(a*a**4*a*a*a**3) assuming a is positive.\nAnswer: a**(-10421\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose 15 - 5 = 2*z - 4*y, -y + 14 = a*z. Suppose 5*q = z*q + 22. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 6.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/28 + 3*i**3\/14 + 3*i**2\/7 + 14*i. Find j, given that r(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 13. Suppose -2*j + t = 2*i, -2*j = i - 7 - 2. Let o = i - -12. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + sqrt(1573) + 2)**2 + 1)*-5.\nAnswer: -7985 - 550*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 18*j - 5*r = 0, -5*j - 3*r = -16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 19*l - 11. Let j be r(7). Suppose 28*v - j*v - 456 = 0. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + -2) + sqrt(128) + -2 + sqrt(2))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5790.463553 and -1.18.\nAnswer: -5791.643553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8219493.\nAnswer: 3, 43, 67, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4\/7 - 128128341*h**3\/7 + 195438958764075*h**2 - 1368072583220187*h\/7 = 0.\nAnswer: 0, 1, 21354723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*c - 250*c - 333*c = -1027*c - 6350 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540457.6 centimeters to meters.\nAnswer: 5404.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, r: 5, q: 4, j: 1}. What is prob of sequence rj?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 353.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -21*x + 8. Let m be d(1). Let u = 3 + 0. Which is the closest to 1? (a) m (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 9:44 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -28. Let d = 1.82 + 1.18. What is the nearest to x in 0, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 2, -13, -12 in descending order.\nAnswer: 7, 2, -3, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1492861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**6)*(q\/q**35)\/q assuming q is positive.\nAnswer: q**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/4))**(7\/9)*x*x**(-28)*x*x*x*((((x**(-4\/7)\/x)\/x)\/x*x)\/x)\/x)**(-28) assuming x is positive.\nAnswer: x**(7151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 49, 0.03261, 0.1, 0.2, -0.01, 4, -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -199. Suppose -d - 294 = -8*f. What is the remainder when f is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*80*528\/281600\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (6 - (19 + -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 47. Suppose 0 = -2*c - 3*m + 6, c - 2*m - 1 = 2. Suppose 4*o = -k*s, 0 = -o + c*s - 2*s + 2. Let d(p) = -2*p**2 - p + 1. What is d(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (3\/(-2) - 874\/92). Let i(o) = -o - 4. Let n = 11 + -16. Let j be i(n). Sort j, d, -3.\nAnswer: -3, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -19*k**3\/3 - 13. Let x(p) = -2*p. Determine q(x(v)).\nAnswer: -76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 248, 371?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 - 21 = 0. Let h be (o\/14)\/((-5)\/420). Suppose 7*c - 5*c - h = 0. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -19. What is the smallest common multiple of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 34*h**2 + 17866*h + 148896 = 0.\nAnswer: -517, -144\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -5 + (sqrt(70)\/(sqrt(110)\/(-2*sqrt(11))) + (sqrt(77)\/(sqrt(11) - -3*sqrt(44)\/sqrt(4)))**2)*-3).\nAnswer: -165\/16 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1301?\nAnswer: 1301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*f - 125*f - 144*f to the form m + z*f and give z.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-3\/19)*b)\/b)\/b)\/(b*b\/((b\/(b\/(b\/(b*b*b**3*b)))*b*b)\/b)))\/((b*b**(2\/47))\/b**(-3\/19)) assuming b is positive.\nAnswer: b**(-7464\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 14*f**6\/135 - 283*f**5\/15 - 1480*f**4\/27 + 328*f**3\/9 - 3*f + 2216. Let u(d) = 0. Calculate d.\nAnswer: -2, 0, 2\/7, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(2 + -3) - 250\/(-6)*(-216)\/540.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -387 + 382 + 2 + (0 - 0) - 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 13.22, 3, 256, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(3 + 2 - 4) + 1 - 2 + 3 + 7 - 6 + 4)*(-6*l + 2*l + 3*l)*(-3*l + 3*l - l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36117 divided by 4013.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/1)\/((-6)\/24). Suppose 13*t = y*t + 10. Calculate the highest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/154)\/((-80)\/3872)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184346*r**5 - 2*r**4 - 2*r**3 - 762559*r**2 + 3*r - 1 wrt r?\nAnswer: 11060760*r**2 - 48*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 2 (c) 1660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1952*o**3*s + 1868*o**3 + o**2*s**2 wrt s?\nAnswer: 1952*o**3 + 2*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 6. Let t(p) be the second derivative of p**3\/2 + 17*p**2\/2 + 2*p. What is 11*r(q) + 4*t(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:53 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 - 31*u**3 - 7 - u**3 + 5 - 19 + 21.\nAnswer: -57*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3487 - 1?\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 5*x + 0*x)*(-2*x + 2*x + 3*x**2) - x**3 - 2 + 2 + 9*x**3 - 6*x**2 + 6*x**2 - 5*x**3 + 3*x**3 + 5*x**3 as k*x**3 + m + w*x**2 + p*x and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1898 times -16\nAnswer: -30368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13956.54? (a) 2\/13 (b) -5 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and 5\/(200\/265) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 9 = -v. Suppose u - 4*k = -0*k + 22, 2*k + 46 = 3*u. Calculate the remainder when v is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 2\/7 (c) -0.14 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181686999\/4 smaller than 45421749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 0.13 (c) -1\/2 (d) 0 (e) 279\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18658719, -37317436, -55976149, -74634858, -93293563?\nAnswer: -111952264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -160*a + 4. Let v be k(-10). What is the remainder when (-6)\/(-33) - v\/(-11) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:31 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267659614?\nAnswer: 2, 133829807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302659 rounded to 3 decimal places?\nAnswer: -0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*t + 17 = 5, w + 6 = 2*t. Suppose 3*h - 15 = w, d + 4*d + 3*h = 30. What is the smallest common multiple of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 - -3) - 0 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*h + 330*h + 154 = 0. What is the remainder when 54 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*o**3*v + 20491*o**3 + 2*o**2*v - 10*o**2 - 67*o*v - v + 64 wrt o?\nAnswer: 882*v + 122946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*(-4152)\/(-21798)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 52. Suppose -4*v - 84 = 2*z, -185 = -3*v + 3*z - 248. Give j(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b**2. Let t(p) = -17665*p. Determine t(d(f)).\nAnswer: -229645*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 47*c - 3 - 1 + 4)*(14071 - 232*c - 14071) to v + o*c**2 + n*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78361.56437 rounded to the nearest one hundred?\nAnswer: 78400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680496591 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - i - 1)*(-2*i + i**2 + 2*i) + i**3 - 3*i**2 + 3*i**2 + 0*i**3 - i**3 - 2*i**3.\nAnswer: -5*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 5)*(-23*o + 23*o - 40*o**3).\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = 5*y, u + 4*y + 2 = -4. Let r(h) be the second derivative of -h**3\/6 - h. Let o(i) = -i - 1. Let m be 4\/(-2) + 1*-1. What is m*r(x) + u*o(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363160 a multiple of 1370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = -20*o + 2*v - 6, 20 = -4*o - 4*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 48 - 5108*l**2.\nAnswer: -5108*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + 60. Let i be 12\/8*u\/(-9). Let s = i - 9. Calculate the smallest common multiple of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -5, 4, -122\/9, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022000 (base 3) to base 4.\nAnswer: -300330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 3 = -29*m, 4*o - 944 = -4*m. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiis. Give prob of sequence iisi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f - 1. Let m(c) = c**3 + 7*c**2 + c + 3. Let d be (19\/(-57))\/((-2)\/(-3) - 1). Let z(h) = d*m(h) + 2*i(h). What is z(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + -1 + sqrt(396) + sqrt(396) + (2 + sqrt(396) + -5)**2.\nAnswer: -24*sqrt(11) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142964*c = -142985*c - 1113 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**2\/2 - 5*a + 506. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4126 - 4127. Put 3, 0, -62, v in ascending order.\nAnswer: -62, v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**2 - 2\/3*u**3 - 3 - u. What is the derivative of t(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 - 190. Find the third derivative of -7 - 5*a**4 + 813*a**3 + s - 13*a**2 - 825*a**3 wrt a.\nAnswer: -120*a - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**4*u**2 + 492*h**4 - 11*h*u - 3*h + 122*u**2 wrt h?\nAnswer: -96*h**2*u**2 + 5904*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) 4 (c) -1.6 (d) -1\/2 (e) 0 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -0.3, -5, -72, 5 in decreasing order.\nAnswer: 5, -0.3, -5, -31, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 150\/35 - 6 - 2\/7. Let j = -38 - i. Let u be j\/63 - (-6)\/(-14) - 3. Let r(b) = -b**2 - 2*b + 1. Let t(p) = p**2 + 2*p - 1. Give u*r(l) - 3*t(l).\nAnswer: l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2367\/1315)\/(12\/10))\/(1\/18*-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(144)\/(-3*sqrt(9)) - sqrt(16)))\/(sqrt(128)*3).\nAnswer: 7*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - m - 6 = 0, 2*m - 7 = i - 1. Let g = i - 2. Suppose 4*y - 2*h + h - 15 = g, y - 3 = h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqrqqyqqqrqyrry. What is prob of sequence yqq?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 45 = -t, 0*m + 14 = -2*m. Calculate the remainder when 4511 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 6\/109, 0.039, -2, -18\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -24. Let r = z - 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496815?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + 0. What is the remainder when n is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/4 - 3219*l + 3453987 = 0 for l.\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -953321348647709 - 4.\nAnswer: -953321348647713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236294 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 53593.095 to the nearest 10.\nAnswer: 53590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 16*r - 7. Let z be t(5). Suppose -13*b + z = -10*b. What is the greatest common divisor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 32860955654777\nAnswer: 32860955654776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.628307 millimeters to kilometers.\nAnswer: 0.000002628307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 2*r + 735. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2019957.9 and -5.\nAnswer: -10099789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5*7\/((-28)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248017?\nAnswer: 7, 11, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 2 + (-9 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*q + 20, 2*q - 10 - 6 = -4*d. Does 6 divide (q + 1)\/((-2)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -26771*f. Let s(n) = -3*n. Determine b(s(c)).\nAnswer: 80313*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9097394.\nAnswer: 2, 67, 67891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from vekkevkkvk?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 30. Determine i(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -184040 divided by -172\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, p: 3, v: 4, o: 3, i: 2, y: 1}. Give prob of sequence iaiy.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Suppose 4 = -o + 1. Let w = o + 5. Let g(z) = z**2 + z**2 - 6*z**2 + 2*z**w. Give g(d(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -2. Let w = -402 - -401.9. What is the third smallest value in d, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5))\/u)\/u**6*u**4\/u*u\/((u**(-2\/11)\/u)\/u) assuming u is positive.\nAnswer: u**(21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118633 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 3. Let c be j(-3). Solve -w - 5*t = -13, t - 17 = w - c*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25575 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3239, -8171, -14795, -23111, -33119?\nAnswer: -44819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9372 is divided by 187.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 3 - 3)*(-4 + 3 + 2)*(4 - 8 - 3) to the form q*b + z and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2304*q + 60. Let c(a) = -329*a - 9. Determine 20*c(k) + 3*m(k).\nAnswer: 332*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 18 = 3*u, -5*m - 25*u - 20 = -24*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220465 is divided by 136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: 40\/(-28)*28\/4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + (-4 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 13 = 35 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/12*3)\/((-1)\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*8\/(-48) - 33\/(-2). Solve -p = 3*n - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 greater than or equal to 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.85 minus 0.039371?\nAnswer: -6.889371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12965 and 7165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3949, 4729, 6831, 10915, 17641, 27669, 41659?\nAnswer: 60271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*q - 25 = 0, 4*q - 11 = -4*z + 9. Solve 3*r - 5*x + z = 0, -6*r = -2*r - 3*x - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2, -4*u - 11*x + 10*x - 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 388 = 2*i, i - 3*i = -3*c - 390. Suppose 6*p = -0*p + i. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2255?\nAnswer: -1\/2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:35 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 22?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -46.2, 39, -3, 23\/2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 39*n - 3*n**2 - 41*n - n**2 + 15.\nAnswer: -4*n**2 - 2*n + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2595 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1014 from 0.2405.\nAnswer: 1014.2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7029 by 4340.\nAnswer: -7029\/4340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45765, -91542, -137327, -183126, -228945, -274790, -320667?\n\"Answer: -g**3 + 2*g**2 - 45776*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (-8 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.258 + -0.288. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411 divided by -137.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64801739 and 7.\nAnswer: -64801732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d + d)*(3 - 3 - d)*(-2 + 1 + 2)*((0*d - d - d)*(1 + 1 + 0) + 2*d - 1 + 1).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 368 - 213. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 20*p + 31. Let g be i(-10). Suppose -4*d - 4*o + 834 = d, -16 = 4*o. Suppose 2*j = -2*q + d, 3*q - g = 2*j + 9. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -10, 387, -107, 46 in decreasing order.\nAnswer: 387, 46, 4, -2, -10, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21)*d)\/(d\/(d**(3\/8)\/d)) assuming d is positive.\nAnswer: d**(-173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.2, 45 in decreasing order.\nAnswer: 45, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162974 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2510*a + 2216 + 480*a - 170*a wrt a.\nAnswer: -2200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 639. Find the second derivative of -w*v**4 - 9*v - 28*v - 70*v wrt v.\nAnswer: -636*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97238924?\nAnswer: 2, 647, 37573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 - 2156*a**3 - 218611*a**2\/2 + 2156*a + 437223\/4 = 0 for a.\nAnswer: -8573, -51, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-818)\/409*25\/6*42\/15*3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*u = 4 + 37, -23 = d + 4*u. Let j(g) be the second derivative of -7\/2*g**2 - 46*g + 7\/20*g**d + 0 + 0*g**3 + 0*g**4. Differentiate j(a) wrt a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2*s - 8, -3 = 332*m - 329*m + 4*s - 2*s - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -31 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2454 (base 7) in base 6?\nAnswer: -4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 5 (b) -5 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 25*n - 26*n - 46*q, 2*q = 4*n + 94 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1233332?\nAnswer: -1233322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:05 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8.3. Let u = -3.62 - 66.38. Let r = 70.1 + u. What is the nearest to -4 in 3\/8, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 10:26 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-25 + -3 - 13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1196 and 5298046?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-166)\/(-1*(-5)\/(-15)). Let f = s - 262. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*i**2*t - 18411*d*i**2 + 14*d*i*t - 15*d*i - 126*d - i**2*t + i*t wrt i?\nAnswer: -8*d*t - 36822*d - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*g = -2. Let x be (0 - g)*(9 - 7). Suppose -x*o + 13 = -3*f - 19, 28 = 4*o - 4*f. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9520 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = 10. Suppose -2*y = u - 103. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425)\/sqrt(3) - (-2*sqrt(209))\/sqrt(11))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18928 = -54*c - 4186. What is the greatest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 8*b - 21. Let q be n(4). Let l(v) be the third derivative of 0*v + 0 + 1\/120*v**6 + 1\/12*v**5 + 1\/6*v**3 + 0*v**4 - 2*v**2. Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381964.\nAnswer: 2, 11, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2709*-284890\nAnswer: 771767010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 13 = 11. Let u = -5 + 13. Calculate the lowest common multiple of i and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 5, 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2206065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1349359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 + y - 5. Let n = 24 + -12. Suppose 4*k + 0*a = -3*a + 1, 4*a + n = -2*k. What is l(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/13)*(o\/(o*o\/(o*(o\/(o\/o**(-1\/14)))\/o*o*o)))\/o)**16\/(o\/o**(2\/5)*o*(((o\/(o*o**8\/o*o))\/o)\/o*o*o)\/o)**(7\/2) assuming o is positive.\nAnswer: o**(34849\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u**2 - 211 + 211)*(2*u**3 - u**2 - 2*u + 2*u).\nAnswer: 30*u**5 - 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.36 - -2.3. Let s = 4.94 - c. Sort s, -3\/7, -1\/2 in descending order.\nAnswer: s, -3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6545893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 907099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1332609818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 168. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(624)\/sqrt(3))**2 - ((-3*sqrt(156))\/sqrt(12))**2) + 4)*5.\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 24, 12, -4, -24?\n\"Answer: -2*q**2 - 2*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/62)*d)\/d*d*d**(-34))\/(d**21*d*d*d**(-42)))**(-25) assuming d is positive.\nAnswer: d**(21675\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 515*h**3*l**2 + 16*h**3*l + 6*h**2*l + 2*l wrt l.\nAnswer: 1030*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5026 and 11847?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 100*v - 1892. What is o(21)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3736 + 1688. Let z = 4825 + q. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202012122 + -12?\nAnswer: -202012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89797, -719996, -2430533, -5761576, -11253293?\n\"Answer: -90028*k**3 - k**2 + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2*3\/18). Let w(n) = 18*n - 3. Is w(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 12332*t\/11 + 13795222\/11.\nAnswer: -2*(t - 967)*(t + 7133)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.9 or 0?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 y, and 1 n when four letters picked without replacement from yyyunyeeluynuneunnml.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3196\/38 - (-1 + 21\/19). Does 5 divide h\/126 - (-466)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3558, 3365, 3026, 2529, 1862, 1013, -30, -1279?\nAnswer: -2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-4\/7)*o**(3\/7))\/(o**(2\/5)\/o**(1\/3)))\/(((o\/o**5)\/(o\/(o\/(o\/(o\/o**5)))))\/((o*o*o**(-7)\/o)\/(o**(-5)*o))) assuming o is positive.\nAnswer: o**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose -2*s = -3*n - 2, 4*n + 2*s = -s + j. Suppose p = -n*p. Solve p = -v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-40) - 1\/(-4). Suppose -i = y + 3. Let x be ((-4)\/(-12))\/(y\/(-12)). Is -1\/7 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1259331*o**4 + o**3*r**2 + 140*r**2 - 9535*r wrt o?\nAnswer: -5037324*o**3 + 3*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8567*w - 3*w**2 - 3209*w - 2684*w - 2674*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 36. Solve 12 = -r + b*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (71 - 53)) + 0 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -101. List the prime factors of (5\/3 + s)\/(46\/(-24978)).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.04 + 0.54. Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p - 2. Let x be g(-3). Let i = x + -1. Find the second derivative of i*n**2 + 5*n**2 + 0*n**2 - 11*n - n wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*m**2*v + 195*m**2 wrt v?\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let d be r(11). Let v be 2\/572*(1 + (6 - d)). Let f be (-12)\/8*2\/3. Are f and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g*g\/(g*g*g\/(g*g**1*g)*g*g)*g)\/g)\/g)\/g**(-4\/9))\/(g*g*g**(1\/2)*g\/g**10*g) assuming g is positive.\nAnswer: g**(125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 27765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61.2 + 34.9. Let b = -2.3 - s. Let y = 24.0000296 - b. What is y rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 3 + 3)*(20*c**2 - 30*c + 30*c).\nAnswer: 140*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -24) + -5 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuwlvyu. What is prob of picking 1 l and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16874 and 64251?\nAnswer: 1670526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 19. Let v be g\/4 + 0 + -1. Let b = 1.034 - -0.966. Put -3, v, -0.5, b in ascending order.\nAnswer: -3, v, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = p - 9, 0 = 4*g - 16. What is the third derivative of -7*w**3 + 4*w**2 - p*w**3 + 6*w**2 + 5*w**2 wrt w?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the lowest common multiple of 36390964 and 5551164?\nAnswer: 327518676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70659768*t**2*z**3 + 202315*t**2 + 7*t*z + 2 wrt z.\nAnswer: 423958608*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 9 + 2 - 19. Let v(s) = -2*s + 3. Let g = 43 + -22. Let c be 44\/(-14) + 3\/g. What is c*t(k) - 8*v(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(1\/(-3)). Let w = -122 + 132. Suppose 0 = 367*h - 365*h - w. Solve -10 = -h*q - 3*i + r*i, 3*q - 3*i = 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*i, 2*i + 28*u = 30*u + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -362a25?\nAnswer: -362a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:25 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -2*n - 135. What is the greatest common divisor of 120 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2761 is divided by 91.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 2 c when four letters picked without replacement from scsvcossox.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:35 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {j: 1, i: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*3*635\/45 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 34826 - 5486. Let m = -58633\/10 - d. Calculate the common denominator of m and (-106)\/(6\/21 + 5080\/(-140)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-40) - (-6 - 96\/(-15)). Let d = -14 - -9. What is the closest to 1 in 0.5, d, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 5*a**2 - 4*a. Let o be u(4). Suppose f = o - 4. Let g = -16 + f. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48a472 (base 12) in base 13?\nAnswer: 323936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 104241 (base 7) to base 8\nAnswer: 43602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2 + b. Let c(k) = 7*k**2 - k. Let a = 7 + -4. Let d = -2 - -16. Suppose d = 5*i - 6. Calculate a*c(h) + i*x(h).\nAnswer: -3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m + 0*m + 4*m. Give b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + q + 19954 = 4*a, 0 = -3*q + 3. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 53*n**3 - 5*n**2 + 6*n - 2. Is b(2) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130104?\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -1\/6*z**3 + 2 + 1\/4*z**2 + 1\/24*z**4 - 12*z. Let v(j) be the first derivative of s(j). Factor v(d).\nAnswer: (d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188\/(-56)*(-31871)\/(-9106)?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7986 and 29601.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/15 - 3*l**5\/40 + 2*l**3 - l**2. Let d(n) be the first derivative of s(n). What is the second derivative of d(p) wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.171231km?\nAnswer: 517123.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 18*z**2 - 5*z + 204.\nAnswer: -(z - 3)*(z + 4)*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.5, 2\/9, 1826?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u + 7*u - 16*u - 502800 = 0. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djn when three letters picked without replacement from {s: 1, v: 2, d: 2, n: 4, j: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 22\/480901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 424*a + 3 + 423*a - 1)*(3*a - 4*a + 0*a).\nAnswer: -5*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 8*h**2 + 8*h - 2. Let n be i(-6). Let q be (-61)\/(((-91)\/14)\/(-13)). Let z = q - n. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (2 - 2) - (2 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-8)\/(-12)*109*243\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -59*f + 7. Let g be m(-1). Suppose -g = 2*t - 420. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.036 and -36?\nAnswer: 35.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/171644*-83)\/((-1)\/((-16)\/(-6)))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 + -21 - (1 - 2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 2, 1, 1\/8, 21?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -2 + -4)*(-24 + 24 - -2). Which is the second smallest value? (a) -6 (b) -1\/2 (c) k (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81842 - 17618. What are the prime factors of j?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 71*x**6\/30 - 147*x**4\/8 + 274*x**2. What is the second derivative of k(d) wrt d?\nAnswer: 1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5*k + j**5 + 68*j**3*k + 3*j**2 - 5*j + 12*k wrt j.\nAnswer: 60*j**2*k + 60*j**2 + 408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-1 + -1 - (-25 + 5)). Suppose -4 = -3*k + 5*m, 4*m = -25 + 5. What is the tens digit of 2\/k + (-216)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1271725 divided by -559?\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/15))**(7\/8)\/((i**(-1\/4)*i)\/(i*i\/i**(3\/8))))**10)**(-23) assuming i is positive.\nAnswer: i**(-2737\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-9 + 11)) + (-4 - 7) - 10\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65607 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 5. Let u be v(10). Let y be 0\/((-4)\/4) - u. Solve 4*f - 5 = y*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - (-4 + 6)) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-31) + 20\/310.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12*u + 3.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -83, -91, -103, -119, -139?\n\"Answer: -2*t**2 + 2*t - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(0 + -6)*(6\/3)\/(-2). Let q(n) be the first derivative of 1\/2*n**4 + 0*n**2 + 0*n + 2 + 8\/3*n**b. Suppose q(h) = 0. What is h?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 17*l**3 - 4*l**2 - 13*l + 11. Suppose -12 = -p - 0. Suppose 0 = 4*m - 2*m + p. Let o(x) = 8*x**3 - 2*x**2 - 6*x + 5. What is m*d(k) + 13*o(k)?\nAnswer: 2*k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 - 1)) + 0 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361292003 to the power of 1\/2, to the nearest integer?\nAnswer: 57977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-500)\/(-15))\/(2 - 32\/18). Suppose 18*j = 84 + g. Calculate the highest common divisor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.41699 litres in millilitres?\nAnswer: 37416.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2819 divided by 2031.\nAnswer: -2819\/2031","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*(u*u**(1\/3)*u)\/u*u*u*u**(-2\/37) assuming u is positive.\nAnswer: u**(697\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/2156*(4 + -10)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751 >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j**5\/8 + 12*j**4 + 9*j**3\/8 - 129*j**2\/4 - 21*j\/2 + 9 = 0. Calculate j.\nAnswer: -1, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/31 and 73\/639.\nAnswer: 19809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a**2. Let i(r) = -4*r. Give i(l(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -650958503 and -14885.\nAnswer: -650973388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490 is divided by 700.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212.5 + -213.5. What is the fourth biggest value in 4, o, -0.5, -0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118355 - -118354.9999910583. What is f rounded to 7 dps?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5752088 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 37 (b) -12266 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (922\/(-40) - 10\/(-200)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(22\/4 - -4)*14.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1))**17)**(3\/7))**(-5\/9) assuming x is positive.\nAnswer: x**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12471 + -12431. Solve c*t - 35*t + 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 146.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002310 (base 5) in base 2?\nAnswer: 11111001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, g: 2}. What is prob of picking 3 h?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-12) - 1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 21128413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 28581*x - 598878 = 0. Calculate x.\nAnswer: 21, 9506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 11. Let q(g) = -3*g + 6. Let a(r) = 11*q(r) + 6*u(r). Let x(i) = -3*i**2. Calculate x(a(c)).\nAnswer: -243*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/12 + (-1)\/(-2). Suppose -t = a - 11. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5331145 - 15?\nAnswer: 5331130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h - 2\/3*h**3 + 0*h**2 + 10 + h**4. Let i(k) = 5*k**3 - 3*k**2 + k + 3. Calculate 2*i(n) - 3*y(n).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8670 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 71\/4086030?\nAnswer: 71\/4086030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 1. Suppose -s*t + 0 = -72. What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383?\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -254\/5?\nAnswer: -254\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2. Let c(y) = -5*y + 16. Let j(i) = -2*i + 6. Let u(s) = -3*c(s) + 8*j(s). Give u(v(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 70. Let v be u(-29). Solve 5*d - 25 = -5*m, -v = -2*d - 4*m + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 + 8*p**2 + 17*p. Let a(l) = l**3 - 2*l**2 - 4*l. Let q(u) = 9*a(u) + 2*m(u). What is the units digit of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2895*c - 2901*c + 90. Let r(g) = g**2 - 3*g. Let q be r(4). Suppose 4 = 2*p - 2*y, q = 5*p - 3*y - 10. Solve -p*i = -c - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 + 4*g**2 - g - 4. Let p(m) = m**3 - m**2 + 1. Suppose -21 = s - 5*w, 5*s + 0*w + 9 = w. What is s*i(d) - 4*p(d)?\nAnswer: 3*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*t - 2981 + 2991 = 0, -2*i - 4*t + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uehxhxegexfeexex. What is prob of picking 1 h, 1 f, and 1 u?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1adbd?\nAnswer: 1adbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*j**4 - j**2 - 20*j**4 + 2 - j + 2*j**3 + j**2 as d*j + k*j**3 + u*j**2 + r + x*j**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 394 = -2*z, -2*z - 10*l = -7*l - 373. What is the remainder when 1705 is divided by z?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4482 + -4484. What is the biggest value in c, -0.4, 1, -190\/3, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*v - 126401, -w - 68772 + 5571 = -2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336187 - 5.92?\nAnswer: 5336181.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/((-2)\/(-128)). Let z be t\/14 + -2 + 0. Let k = 311\/630 - -2\/315. Which is the nearest to -1? (a) k (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 22 = -8*c. Suppose -3*a + c*i + 24 = 0, 2*a - 1 = -0*a - i. Suppose -2*n + a*n - 35 = 0. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -994 + 995. Sort d, 15, 6 in ascending order.\nAnswer: d, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 970785 in decreasing order.\nAnswer: 970785, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.0453 millennia to decades.\nAnswer: 59504.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*y + 522*y - 229606 = 1159*y - 12454 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-51)\/(-102))\/(1\/49498) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010117 (base 9) to base 3.\nAnswer: 101000100010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-12) - 1295\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:39 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3513 and -46\/159?\nAnswer: 186189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 5) to base 12.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 11*d + 14. Let q be f(10). Put q, -3, 8 in ascending order.\nAnswer: -3, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90720.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1477*z + 1. Let k(v) = 3*v. Give k(h(f)).\nAnswer: 4431*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/7 + 24*d**2\/7 - 48\/7.\nAnswer: -3*(d - 2)**2*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**7\/4200 - g**6\/900 - 10*g**3\/3 - 9*g. Let s(o) be the second derivative of q(o). Factor s(x).\nAnswer: -x**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u. Suppose u = -23*y + 22*y + 641. Suppose -5*z + y = -3084. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 54. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 78. What is the least common multiple of (68\/5 - 5) + 2\/5 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12053 times 2\nAnswer: -24106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3810)\/2286*(-6)\/19*3\/60\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -563 + 562.948. Let h = 837324 - 837324.05199916. Let o = h - d. Round o to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**3 + 430*v**2 - 94*v. Let g(s) = s**3 - s**2 - s. Let y(o) = 28*g(o) - 2*i(o). Factor y(m).\nAnswer: 4*m*(m - 20)*(11*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -42*a**2 - 210*a - 164. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-4))\/6)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8\/3, -2, -5, 54 in ascending order.\nAnswer: -5, -8\/3, -2, -0.1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*f**4 - 166*f**3 - 4*f**2 + 2084887*f.\nAnswer: -420*f**2 - 996*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 1240.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 397471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192998927.\nAnswer: 11, 67, 307, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*c + 16544 + 27862 - 1573 = 6797 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 28. Let a be (-4)\/14 - (-148)\/84*l. Suppose 0 = 6*s - a*s - 251. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643645 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144971524?\nAnswer: 2, 36242881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 91420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*g - 29*g - 5*g**3 - 24*g + 2 + 6*g**4 + 77*g - 4*g**4 to the form o*g**4 + q + y*g**2 + r*g + t*g**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -39. Let r(y) = y**2 + 11*y - 6. Let u be r(-12). Suppose u = m - 7. What is the remainder when k is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 142 = -a. What is the derivative of 18*c**2 - c**a + 2781*c - 2781*c + 182 wrt c?\nAnswer: -3*c**2 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 2*z - 5 - 2*z + 0*z. Calculate s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 + 7*y**5\/30 - y**4\/24 - y**3\/6 - 5*y**2. Is v(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 26731216*y\/5 - 89319738604832\/5.\nAnswer: -2*(y + 6682804)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8121 or -48725\/6?\nAnswer: -48725\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118086 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 20*n**2 + 65 + 72 - 21*n**2.\nAnswer: -n**2 + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {f: 5, p: 1, b: 3, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-1 + (-16)\/(-4). Suppose -18 = -n*v + 135. Suppose 2*m = 5*l + v, 4*l + 33 = 3*m - 33. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 - u + 9. Let w(o) = o**2 - o + 1. Let i(y) = -3*y + 7. Let j(g) = i(g) - 3*w(g). What is 5*j(v) - 2*p(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 14*t**2 - 16*t + 31. Determine s(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:58 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-7 + 1*(16 - 1). Calculate the greatest common divisor of 36 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/18 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -213 - -599?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012 + -10?\nAnswer: 111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -2\/7, 1\/8 in ascending order.\nAnswer: -6, -3, -2\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75353 + -229157\/3. Let q = g - -672206\/651. Let n = -6\/31 + q. Which is the third biggest value? (a) -5 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2095000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(2240))\/sqrt(5) - (-6*(sqrt(77) + 2*sqrt(77))\/sqrt(11))**2).\nAnswer: -64*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2558 - 1304. Calculate the greatest common divisor of v and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1275)\/(-50) + -24 - 6 - (-140)\/16\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -8, 0 = -2*i + 5*j - 9*j + 16. Solve -2*a + 4*l + 2 = 0, i*a + l + 2 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -1 + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 14*k**2 - 5*k**2 - 148 + k**2 + 145.\nAnswer: 22*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*4*3)**2.\nAnswer: 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -4, 5\/3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-4)\/(-784)*32.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -665 divided by 348773\nAnswer: -665\/348773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 7*x**2 - 5*x - 10. Let l be m(7). Let i = l + 1606. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.00000988 + -85. Round n to seven decimal places.\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 68 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -957*t**2 - t + 1. Let k(h) = 4*h. Calculate x(k(f)).\nAnswer: -15312*f**2 - 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -2*z. Suppose -4*u + 4*o = 112, 23 = -u - z*o - 0*o. Let j = 21 + u. Let h(y) = y - 4. Give h(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74123 divided by -1?\nAnswer: -74123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/(-5) - (-1)\/(-5)) + -1. Let b be 108*(-6 - (-19)\/a). Calculate the greatest common divisor of b and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5001000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 + -97. Let x = -38 - -43. Suppose k - a = -2*s, -64 = -s + x*k + 66. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 4 - 4)\/((-4)\/16). Factor -5*h**5 - 55*h**3 + 61*h**3 + b*h**5 - 9*h**4.\nAnswer: 3*h**3*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10951*v + 4*q = 10955*v + 40, -97*v - q = 88 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 3301872?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b (base 13) to base 2.\nAnswer: -110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 + 3*z - 1. What is the remainder when 16 is divided by j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361701 is divided by 592.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 0 = q*l + 2*w - 6, -l + 4 = l + 3*w. What is the third derivative of -y**l + 3*y**2 + y**5 - 2*y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 6770512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/245)\/((-24)\/(-10)*(-44)\/88).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let a(h) = h - 4. Let v(c) = 2*c - 9. Let k(b) = -12*b**2 + b + 6. Let o be k(-2). Let z = o + 53. Let n(m) = z*a(m) - 4*v(m). Determine n(u(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 19*i + 25. Let f(m) = -3*m**2 + 10*m - 12. Let o(d) = 2*c(d) + 5*f(d). Determine o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 24710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 9}. Give prob of picking 1 o and 1 p.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*c + 801*c - 26819 = -4389 + 3064 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*g - 16 = -6*g, g = 5*j - 18. What is the derivative of 4*o**4 + 2 + 0*o**j + o**4 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -10*i**4\/17 - 56*i**3\/17 - 66*i**2\/17 + 36*i\/17 = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1333020 (base 4) to base 5\nAnswer: -230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6725 + 1844 = 1388*m + 5228 + 2383 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41020 - 0.\nAnswer: 41020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g + 3 - 8 - 23 + 1 + 6.\nAnswer: -41*g - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 838 + -718. Is p a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/45*(-1)\/(20\/(-24))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b**2 + 6*b + 186. Is 17 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-156)\/(-4)*((-4132)\/824 + 5). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -674, -1007, -1338, -1667, -1994?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 0.7. Let v = -0.65 + d. Let t = v - -0.17. Round t to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2)\/((p**(2\/3)*p)\/p))**(-4\/19)\/(p*p**(-3\/4)*p*p**(-1\/6)\/p)**(-5\/4) assuming p is positive.\nAnswer: p**(415\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26551477 to the nearest integer?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 + 1258684*s - 1258683 = 0.\nAnswer: 1, 1258683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/5 - 670023*p\/5 - 335011\/5 = 0.\nAnswer: -335011, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16304 is divided by 8141?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-6 + -16 + 30 + -34)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83 and 17098?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 - 0.6. Let x = -108 + 112. Which is the third smallest value? (a) x (b) t (c) 1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.7. Let c = 73 + -45. Let o be (2 + c\/(-12))\/(-1). Sort o, n, 0.5.\nAnswer: n, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 161. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 30.9. Which is the second smallest value? (a) f (b) 1.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -98. What is the highest common factor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(54))\/(sqrt(18)\/(sqrt(6)*3)).\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {b: 3, a: 6, g: 1, h: 1, e: 1, p: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21542493 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12*n**3 + 2*n**2 - 1. Let z be 3*(-2)\/(-12)*14. Suppose 4 = -3*t + z. List the prime factors of o(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2)\/((42\/35)\/(4\/(-10))). Suppose 5 = 2*j - 25. Which is the nearest to 1\/2? (a) j (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -139*s + 1639. Let l be d(4). Solve l*n - 112 = 1099*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*r + 15 + 5, 4*r + 4*n = 0. Suppose -4*q - 4 = -2*g, -3*q + 2*g - r = -0. Solve z = -q*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/9 + -4 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + b**4 - b**4 + (0 - 1 + 2)*(45*b**2 - 45*b**2 - 5*b**4) - b**4 + 6*b**4 - b**4 + (-10*b**2 - 2*b**4 + 10*b**2)*(5 - 1 - 5).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60205072 divided by 198043\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 5*i**2 - 3*i - 2. Let k be j(-5). Suppose 7 - 3 = 4*c. Let q be 1\/c*0 - -2. Solve t + 8 = v, 5*t = q*v - 6*v - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Let b = -3 + g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 10*t**3\/11 + 261*t**2\/11 + 204*t\/11 + 54. Factor l(i).\nAnswer: 6*(i + 17)*(5*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 5. Suppose 3*d + 3*p = 15, 12*d - 7*d + 3*p - 35 = 0. Let t(g) = 1 + 0 + g**2 - 2. Give d*t(o) + 2*l(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10582 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -5*a, -4*a - 2*q = -0*a - 18. Suppose -d + 3 = 2*j, -2*j + 9 = -3*d + a*d. Solve -j*n = -7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 6. Let t be ((-92)\/6)\/(y\/9). Solve -a + 5*i = t, 0*a - i - 5 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*g + 1446 = -1158. Is g != -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55233156 + 0?\nAnswer: 55233156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97\/3 + 32. Let p = 321 + -32101\/100. Let z = p - 6\/25. What is the nearest to r in -1, z, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/26)\/((-222)\/(-12) - 18).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-254 - 0)*(-2)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299938.54 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97527089 is divided by 1962.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clbccbccblccscbs. What is prob of picking 2 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/41 in 0.2, -5, -3, 6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8459.676 millilitres to litres.\nAnswer: 8.459676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.0083 + -1.9917. Which is the third smallest value? (a) g (b) -110 (c) -4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 - 2*v - 3. Suppose -2*i - 3*o = 19, 67 = -5*i - o - 0*o. Let w(q) = -24*q**2 - 10*q - 14. What is i*s(x) + 3*w(x)?\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-2 + sqrt(48))) + 2)**2 - (3*(((sqrt(75) + -1)**2 - sqrt(75)) + sqrt(75)) - sqrt(75)).\nAnswer: -185 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/3 + 25*g**3\/6 - g**2 + 6*g. Find the first derivative of y(h) wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 5*v + 0*v)*(2 - 5 + 4 + 0 - 2 + 4 + (7 - 2 - 3)*(-2 + 6 - 3) - 4 - 3 + 6).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*y**3 + 45*y**3 - 49*y**3 + (-2 + 4 + 0)*(0*y + 0*y - y**3) - 3*y**3 + 4*y**3 + 0*y**3.\nAnswer: -81*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 80618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 + 724505*q**2 - 26310819600*q + 4738552488000 = 0.\nAnswer: 181, 72360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6 + 12. Suppose -67 = -x*h + 263. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + -50?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59.7 + 63. Let v = -3.7 + m. What is the third smallest value in v, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15117924 in 1\/4, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**6\/45 + s**5\/120 - 65*s**4\/12 - 46*s. Let c(j) be the third derivative of w(j). Determine c(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*1997.\nAnswer: 203694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*l**4 - 590*l**3 - 190*l**2 + 590*l + 196 = 0. Calculate l.\nAnswer: -98, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 + g**2 - 2*g + 1. Let x(k) = k**3 + 3*k - 3*k - k. Give q(y) - 2*x(y).\nAnswer: 2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2. Let m be s(-2). Let d be (-3)\/21*10*19040\/(-136). What is the greatest common factor of d and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6196809 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.3 + 21. What is the smallest value in i, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n = 65*n + 156. Solve 3*b = 6*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05553 + 29.94553. Let m = w + -33.3. Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 30010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-4))\/((-27)\/162)*-118. Suppose 64 = -r*t + 179*t. Calculate the smallest common multiple of t and 112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26549\/24 - 6635\/6. Let s = -6 + 5.1. Sort s, -0.1, 5, r.\nAnswer: s, -0.1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**21)**18)**14 assuming p is positive.\nAnswer: p**5544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 529481 + -258610. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -371*o**6\/120 - o**4\/12 - 353*o**3\/6 + 592*o**2. Differentiate c(t) wrt t.\nAnswer: -1113*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*i + i - 36, -2*f + 21 = 3*i. Suppose 43*q = 887 - 973. Sort f, q, 17.\nAnswer: q, f, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 4*a - 6. Let t(m) = 6*m**2 + 9*m + 12. Let z(i) = -7*r(i) - 3*t(i). Is z(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40.04, -11.4, -0.5 in decreasing order.\nAnswer: 40.04, -0.5, -11.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.78 and 9.\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 3, h: 4, j: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 379 + 55. Let i = 899 - x. List the prime factors of i.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 30. Let j be -2*2*4\/(-8). Suppose 0 = j*u - c - 8. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b, 4*b = -4*q - b - 2. Let x(j) = 3*j**3 - j**2. Let k be x(1). What is the derivative of -s + k + s + q*s**3 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (6 - (0 + 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-10) + 42\/70. Let h be 3*(g + 24\/(-9)). Is (2 - h)\/((-7)\/(-266)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 21*k**2 + 8*k - 25*k + 9*k - 40*k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046571 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4042*m + 474450 = -2338*m + 54*m for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -41\/254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209*i + 150 with respect to i.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -389 + 398. Suppose -3*t + 77 = t + 5*n, 2*t - 3*n - 33 = 0. Calculate the greatest common factor of k and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366314 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a53523 (base 11) to base 7.\nAnswer: 41260112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {r: 1, e: 1, q: 1, x: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1160375519 to four decimal places.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1032428 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6237*d - 11. Let h be t(3). What is h rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216) + -1 - 6*sqrt(171).\nAnswer: -10*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23545 less than or equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021002102001 + 20?\nAnswer: -102021002101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 3, n: 2}. Give prob of picking 1 l, 1 n, and 2 s.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12650 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 2\/7, 2\/405, -2, 2\/9, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2. Let w be h(4). Let c = 6 - w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56\/15 + -689\/60. Calculate the common denominator of 59\/3274 and d.\nAnswer: 6548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 32. Let n be w(-21). Let q(g) = -4*g - 40. Let j be q(n). Factor -j*s**3 + 36\/5*s + 0 - 12\/5*s**2 - 4\/5*s**4.\nAnswer: -4*s*(s - 1)*(s + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957567089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11 or -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/30*(-33079)\/135. Let u be (-16196)\/4050 - (-2 - 2). Let p = n + u. What is the common denominator of -5\/12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 10. Let g(r) be the first derivative of -r**3\/3 - 4*r**2 - 15*r - 42. Let f be g(-6). Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 18. Give t(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 2. Let c(x) be the second derivative of -x**3\/6 - x**2 - 8*x. Determine 2*c(h) - 3*v(h).\nAnswer: 3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 - 39 + 84 - 34*x**2 to f + u*x**2 + b*x and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -720624 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2 = -5*n, -3*m - 26*n + 22*n = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 4. Suppose w + f*w + 3 = 0. Let x be (-4)\/(-38) + (-2686)\/(-3002). Sort w, 5, x, -7.\nAnswer: -7, w, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53643.74l?\nAnswer: 53643740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 19*n + 205. Let a be m(-11). Put 19, 2, a, 5, 3 in decreasing order.\nAnswer: 19, 5, 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -3*o + 10 - 23 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l = -88*l - 45. Solve -4*k + 4 = -n + 7, 0 = -3*n + l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r**2 - 1 + 2*r - r**2 - 1. Let w(v) = 2*v**2 - 3*v + 2. Let n(d) = 2*w(d) + 3*y(d). Find the first derivative of n(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15793651, -31587304, -47380957, -63174610, -78968263?\n\"Answer: -15793653*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Suppose 2*p + o = 4. Solve p*a = -1 - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 33*o = -4*o - 504 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -471\/2 - -4219\/18. What is the common denominator of o and 51\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32100102203 (base 4) to base 11\nAnswer: -2122516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let d(u) be the first derivative of 5*u**3 - 1. Calculate d(x(k)).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 383513 < 383528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7*g - 53 - 73 + 198 = 6*g, -5*r = 3*g - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h\/h**(-1\/6))**(-11\/4)\/((h\/(h*h**(1\/2)\/h))**(-40)*(h*h**3)\/(h\/(h**(-1\/3)\/h))) assuming h is positive.\nAnswer: h**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 147*m - 1419 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 22*h**2 - 4*h + 46. Let r(q) = q**3 + 3*q**2 - 42*q + 7. Let x be r(-8). Let m be k(x). What is the greatest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -0.2, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -28) + 19 + ((1 - 6) + 16 - 4)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 + 9*l - 5. Let m be o(6). Let n be (m\/(-3))\/(8\/42). Is -24 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910445.\nAnswer: 3, 5, 127363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 555 - 1679 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t - 9. Let b be k(9). Suppose -b - 16 = -5*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 242, 252, 272, 308, 366, 452, 572, 732?\n\"Answer: d**3 - d**2 + 6*d + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2111112222020121?\nAnswer: -2111112222020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2372, -10, -2 in increasing order.\nAnswer: -2372, -40, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 75*t**2\/2 - 33*t\/2 - 18 = 0.\nAnswer: -1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.3, -1\/4, 137 in decreasing order.\nAnswer: 137, 4\/5, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*s + 295*s + 640 = 0. Let v be (6\/5)\/((-2)\/(-40)). Calculate the highest common factor of v and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04576 rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32))\/((-17)\/(-34))*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1\/12*r**3 + 0*r**2 + 1\/24*r**4 + 0 + 1\/40*r**5 - 1\/60*r**6 + 5*r. Factor v(i).\nAnswer: -i*(i - 1)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -68*z + 1295. Is d(-103) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 c when four letters picked without replacement from rqccqqqqqqqcqqcqg.\nAnswer: 11\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 + 52*s**3 + 5*s**3.\nAnswer: 82*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147445863461\/70 - 2106509824. Let d = k + 140339. Let l = -3\/14 + d. Is 1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 21. Let x be (2 - -90) + (t - 1). Let k = x - 64. Calculate the lowest common multiple of 14 and k.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139290 rounded to the nearest 1000?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 286 = 4*r + 7*a, -r + 3*a + 63 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 32*u + 1. Let h be 3\/(-4) + (-365)\/20. Let s = h - -30. Does 14 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -102. Suppose 3400 = v*c + 16*c. What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/3 + 320*t**4\/3 + 5720*t**3 + 312700*t**2\/3 + 196630*t\/3 - 595508 = 0. Calculate t.\nAnswer: -53, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9631807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272460 = -32*q - 28*q. What are the prime factors of q?\nAnswer: 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 488 - -1383. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57420 and 11600.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 4\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*g - 6241485 = 58835. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghggebbggee. What is prob of sequence gg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from fptfpfptpttp.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 344*y**2 + 4*y + 2. Let g be x(-2). Let p = g - 293. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:29 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/6)\/((-1)\/(-3)). Let w be (2 - (-4)\/(-2))\/1. Let s = w - n. Solve s + 2 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 + 40*f**2 + 9*f**2)*(f + 3*f + f).\nAnswer: 280*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421855 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 3*p - 28, -3*p - 44 = -2*o. Let y = -4314 - -4332. What is the smallest common multiple of y and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19407*s + 38 = -4*y - 19412*s, -68 = 6*y + 2*s for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9244853 = 149*a - 772986 - 3462042. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243 or -242?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64559806.\nAnswer: 2, 59, 101, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -z - 2 + 22, -20 = 5*z - 4*t. Solve 0 = -5*o - z + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 5*r = 4035. Is 38 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -68 + 3*r**2 + 61 - 35*r + 4*r**2 + 6*r**3 + 25*r. Let o(w) = -7*w - 5 - 3*w**2 + 8*w**2 + 0 + 4*w**3. Calculate -7*o(h) + 5*u(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2172 and 7123979.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-237 + 2)*(-279)\/93. Calculate the highest common factor of p and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 23. Let g(c) = -3*c**3 - 18*c**2 - c - 11. Let s be g(-6). Let h be y(s). Suppose 2*k = -k. Solve -n - h + k = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - t - 6. Let g be m(0). Let o be (-260)\/g - 2\/(-3). Suppose 6*p - 20 = p. Calculate the greatest common factor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*r**2 + 358*r - 202*r - 156*r - 250*r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1890321, -3780610, -5670899, -7561188?\n\"Answer: -1890289*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*4*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + y - 25 = -4*y, 2*p - 5 = 3*y. Suppose 4*m - 327 = -10*o + 5*o, -p*m + 357 = -o. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -13. Let u(i) = -4*i - 12. Let a(o) be the third derivative of 5*o**4\/24 + 13*o**3\/6 + o**2. Let z(v) = r*u(v) - 3*a(v). Determine z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -112354?\nAnswer: 112353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 331. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.94323 + -0.05677. Put 296, x, 1, 0.5 in ascending order.\nAnswer: x, 0.5, 1, 296","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.62493 centuries to decades.\nAnswer: 366.2493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - -5.5. Which is the closest to 0.1? (a) 0.1 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 275494515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*l**5 - 88848*l**4 + 118743*l**3 + 760128*l**2 - 1066500*l + 355536 = 0. What is l?\nAnswer: -3292, -3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwmn. Give prob of sequence wnm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 9.5619.\nAnswer: 545.0283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 97014*j - 1164033. Calculate u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 4*f = -18*p, -2*f - 4 = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14617860*y**4 + 19800484 wrt y.\nAnswer: -58471440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*15\/(-10))\/((208\/(-736))\/13)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - h + 6. Let i(y) = -10 + 17 - 4*y + 3*y. Let d be i(7). Give n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -133519.79.\nAnswer: -133528.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s + 19. Suppose -48*d - 4 = -49*d. Let g be r(d). Find the first derivative of 76 + g - 2*c + 12*c**2 - 119 wrt c.\nAnswer: 24*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 40 = -5*g, 2*n + 11 - 3 = 4*g. Let t be (-4 + 2)\/((-4)\/(-6)). Let w = t + g. Solve 0 = -5*v + 3*u + 5, 2*u - 2 = -v - w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295925730.\nAnswer: 2, 5, 11, 971, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 7. Let l be o(10). Suppose 0 = -l*j + 231 + 216. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445281.4ml to litres.\nAnswer: 445.2814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2683*o**4 - o**3 + 147*o**2 - 4234261?\nAnswer: 10732*o**3 - 3*o**2 + 294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2.7 (b) -328 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/6 + 2\/(-4). Let h = -1 + s. Let w(p) = -p**3 - 8*p**2 - 12*p + 1. Let a be w(-6). Is a less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220388 and 1666.\nAnswer: 1542716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 89 = 2*w + 5*p, -3*w + 3*p - 110306 = -110201 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -1.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -3b4?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 26) + 15 + 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:05 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3\/6 + 7*u**2\/2 + 4*u. Let t be i(-5). Suppose -4*f = -0*f. Solve 2*b = -2*j - t, f*b = 2*j - 2*b - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2046 plus -0.2?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.49 take away 21.26423978?\nAnswer: 830.22576022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149\/4 + 45\/2. What is the second biggest value in -4, 0.3, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -261. Let h = n - -153. Let c(o) = -o**2 - 2*o - 3. Calculate c(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1232 + -1232.00004496. Round l to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13911*f + 21 + 22 + 25 - 68.\nAnswer: 13911*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 5*j + 7. Let w(f) = -f**3 - 5*f**2 - 8*f - 10. Let s be w(-2). What is d(s)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*d**2 + 12*d**2 + 226*d**2 + 58*d**2 - 62*d**2 to r*d**2 + y + l*d and give r.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 135, 201, 265, 327, 387, 445?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/120 + c**4\/8 - c**3\/3 - c**2. Let l be f(2). Sort -1, -1\/4, l in increasing order.\nAnswer: l, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 - j**3 + j**3 - 3*j**3)*(2090 - 17*j - 2090).\nAnswer: -17*j**5 + 51*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3846183 and 27?\nAnswer: 34615647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*y - 3*t, -t = -6*t - 25. Let g(h) = 8*h - 1. Calculate g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a*a**(3\/4))\/((a\/(a*(a*a**(-3\/4))\/a*a))\/a*a**(-2\/5)) assuming a is positive.\nAnswer: a**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 2\/5 (c) 1670 (d) -4 (e) 2\/7 (f) -33\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 15*q + 2. Let g be k(-13). Let x = -21 + g. Let b = 124 + x. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + 26?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16423 + -16423. Let v(c) be the first derivative of 0*c**5 + 0*c + j*c**4 + 0*c**2 - 7\/2*c**6 - 12 + 35\/3*c**3. Find the third derivative of v(a) wrt a.\nAnswer: -1260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**4 - 3 + 3)*(-2*d + 4 - 5 - 2).\nAnswer: 16*d**5 + 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*a + 4*a - 14, -a + p = 0. Suppose 3*d + 6 = n, 0 = -a*d - 0*d - 4. Solve x - 5*x = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189706441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 57. Suppose 308 + 139 = u*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -217031, -1, -5, -6 in increasing order.\nAnswer: -217031, -7, -6, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-2 - -2) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13914 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265531*k - 8208 = 265645*k for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 12 - 10*x - 9 + 18 as d*x + a and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 43*m - 104. Let q(d) = -43*d + 99. Let n(v) = 2*q(v) + 3*z(v). Differentiate n(u) wrt u.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 314615 - 0?\nAnswer: 314615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -88\/29635 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-11 - (-3 + -1))) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3892 divided by -28.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13771343 and -0.1?\nAnswer: 0.03771343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 + -1.8. Let d = 4830 - 4822.742. Let h = z + d. What is h rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - u - 1. Let h be d(-1). Solve 3*f = 3*r - 27, -2*f - h*r = -0 - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -1)*-3*-3*2.\nAnswer: -18 + 126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 554*d**2 + 23*d + 75. Does 48 divide p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from ugalpprl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v + 5*y, -y = -6*y + 20. Let w = v + 26. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b3 + -11?\nAnswer: 12a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 11 + -12 + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*p**4 + 14260*p**3 + 8585779*p**2 wrt p.\nAnswer: 2016*p + 85560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86490300.\nAnswer: 2, 3, 5, 13, 67, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -8. Let q = -180 - -184. Suppose -q*t = -5*v - 5 + 11, 14 = 5*v + 4*t. Sort -4, j, v in ascending order.\nAnswer: -4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v + 4508*v - 4605*v + 59*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43627328.4 rounded to the nearest one million?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023632 to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 + 189 = -52*g + 1303 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {j: 1, o: 9, p: 4, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8 + 7*a + 4 + 4. Let l(y) = -2*y. Determine b(l(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 26*z**3 - 11*z**3 - 2*z**3 + 3 - 3 + (-3*z**2 + 2*z**2 + 4*z**2)*(0*z + z + z).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4996 - -5000. Let v(p) be the third derivative of 0*p - 7\/30*p**6 - 17\/6*p**b + 9*p**2 - 2\/105*p**7 - 4*p**3 + 0 - 17\/15*p**5. Factor v(f).\nAnswer: -4*(f + 1)**2*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:58 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 516816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -382698.\nAnswer: -22961.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ynzayzarzizzy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 452.2 + -451. What is the second biggest value in g, -1\/5, 2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73986572?\nAnswer: 2, 11, 1681513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 15c1cc48?\nAnswer: 15c1cc49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*l - 10 = -105*l. What is the fourth smallest value in 2\/5, l, -0.5, 0.04?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvtv when four letters picked without replacement from yyvtvlvyytvvyyvyvvyy.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) + sqrt(1200)*-3)\/(sqrt(44)\/sqrt(704))*-5*3.\nAnswer: 2400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -3) + 1 + 3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69350877151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0.9, 1705 in increasing order.\nAnswer: 0.9, 68, 1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4078*z**2 + 6*z + 24. Let y(w) = 1359*w**2 + 2*w + 9. Calculate 3*f(h) - 8*y(h).\nAnswer: 1362*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:46 AM?\nAnswer: 601","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127?\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 25. Let f(a) = -32 - 4*a + 32 + o*a. Let u(b) = -3*b**2. Determine u(f(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*c + 720 = 329*c. Solve k = -4*j + 16, c = 4*j - 6*k + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360569, 721322, 1082075, 1442828?\nAnswer: 1803581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-7))\/((-6)\/(-42)). Suppose h*i - 2 = -0. Let k = -246 + 2212\/9. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 7 - 3) + -83 + 122.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26460)\/(-15750)*(2 - 4\/7)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 56. Suppose k = 5*w - 24. Is 92\/(-2)*(-5)\/w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f)**(-44)*(f**(-15))**(-2\/87) assuming f is positive.\nAnswer: f**(8982\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = -24. Let r be 3843\/14 - (-2)\/c. Suppose 329 = 5*d - 0*t + 3*t, -4*d = -3*t - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2084*o**2 - 9*o + 7142840 wrt o.\nAnswer: 4168*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 4. Let c be 1 + (h - -1)\/3. Suppose 2*j + j - 17 = -y, 3*y = c*j - 15. Calculate the remainder when 11 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 14 + 50 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004625460222 to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by -1793\nAnswer: 257\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13553, 49703, 109959, 194327, 302813, 435423, 592163?\nAnswer: 773039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 561\/4 - 141. Let t = 6 + -11. What is the biggest value in g, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(252) + sqrt(252) + sqrt(252) - sqrt(77)\/(sqrt(396) - sqrt(11)))**2 + (-1 + (sqrt(343) - (sqrt(343)*-1 - sqrt(343)) - sqrt(7))*-6)**2).\nAnswer: 480*sqrt(7) + 5150944\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0543 + -20.0543. What is the third biggest value in 0, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o - 37. Let s(w) = 3*w - 67061. What is s(a(u))?\nAnswer: -27*u - 67172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2. Let v(s) = -12*s. Let n(t) = -t. Let l(m) = 9*n(m) - v(m). What is l(z(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 70, 28, -3 in increasing order.\nAnswer: -3, -1, 28, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000171988458 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7378731.\nAnswer: -1\/2459577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 270, 670, 1238, 1974?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9*y + 14 = -8*y, -2*i - 5*y = 38. Let g be (-10)\/(-5)*(i\/6)\/(-1). Solve -2*n = -g*n + 4*j - 12, -j = -5*n + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:39 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 29*o**3 + 12*o**2 - 68*o - 37. Let d(u) = 7*u**3 + 3*u**2 - 16*u - 9. Give -4*a(n) + 17*d(n).\nAnswer: 3*n**3 + 3*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283112 and 1634344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-24))\/(6\/(-45)). Let u be -2*5\/(20\/8). Let m(h) = 5*h + 23. Let w be m(u). Solve -j - 7 = w*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 13640 - 13493 = 0. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130995*k**2*v**3 - k**2*v**2 - 94*k**2 + 35*k*q*v**3 - 2*k*q*v**2 - 762*k*q*v - 4*k*v**2 + q*v**2 wrt v?\nAnswer: -785970*k**2 + 210*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m. Let i(n) = -4 + 3*n + 1 + 3 - 7. Let k be i(3). Let a(z) = 3*z**2 - 4 + 4 + 0*z**k. Give a(g(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5572965 and -3?\nAnswer: 16718895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342 + -336. Suppose 3*y = -0*y. Suppose -5*n - 7 = -u, y = 2*n - m*n - 4. Solve u*j - 7*j = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*z + 47. Let g be (6 - z\/(-4)) + 7. Let k(n) = 6*n**3 - 2*n**2 + 2*n - 1. Let t be k(1). Calculate the greatest common factor of g and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 6, 6, 2, -6, -18, -34?\n\"Answer: -2*t**2 + 10*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from fuuukfffufffufu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226125.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 + y - 16. Let i(j) = 27*j + 162. Let g be i(-6). What is k(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*j + 268*j - 13 + 48 - 135*j - 35.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100214*b*k**4 - 28*b*k**3 + 4496281*b*k**2 - 2*b*k wrt k.\nAnswer: -2405136*b*k - 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437217952.\nAnswer: 2, 7, 19, 79, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.83 rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12394287 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1428765, 2857494, 4286223, 5714952, 7143681, 8572410?\nAnswer: 10001139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4 - 0)*2. What is the nearest to 2\/7 in 0.4, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002954830456 rounded to six decimal places?\nAnswer: -0.002955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f + 57 = -g, f + 4*g - 24 = 0. Let r = 330 + -326. Calculate the greatest common divisor of r and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - z**2 - 7*z + 24. Let m = -223 - -226. Let p be s(m). What is the greatest common factor of p and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5244 + -5229. Solve 3*r = 3*t + z, t + 16*r - 14*r + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48612*w**3 + 23628*w**3 + 23407*w**3 + w + (2 - 2 - w**2)*(-w - 3*w + 6*w) + 2*w - w**3 - 2*w.\nAnswer: -1580*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0 + 1\/3*f**3 + f - 7\/60*f**5 + 9*f**2 + 1\/12*f**4. Let x(r) = 168*r**2 - 49*r - 49. Calculate 2*x(n) + 49*y(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:57 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122993 to the power of 1\/2, to the nearest integer?\nAnswer: 3182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69301 is divided by 2768.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*p = 947 - 213, -5*m + 921 = 2*p. Suppose -m = -4*l + 39. Let i be (-1)\/3 - l\/12. Is i at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*o + 6, 0 = 4*d - 2*d - 3*o + 3. Let h be (d\/(-4))\/((-6)\/16). Solve 5*n - 2*k - 5 + 1 = 0, 4*n + h*k - 14 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)\/h)\/h)\/(h*((h\/((h\/(((h*h*h**(-7)\/h)\/h*h)\/h)*h)\/h))\/h*h)\/h)*((h\/h**(-1))\/h*h*h)\/h**(5\/4) assuming h is positive.\nAnswer: h**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = -32*r + 37*r, 5*k + 18 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128780, -128786, -128792, -128798, -128804?\nAnswer: -128810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/5)\/(-2))\/(4359\/(-11624)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-9)*(-126)\/140*6\/(16\/(-8)).\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 31 + 1. Let n(w) = -w**2 - 19*w - 90. Let k be n(c). Solve -i + 9 = -2*f, -3*i + 24 = -5*f - k*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1312779408*b**2 - 4*b + 117319590 wrt b?\nAnswer: 2625558816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -37*k**3 - k**2 - 2*k - 1. Calculate c(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276904.\nAnswer: 2, 17, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9598014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 12766?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -6, 0, -8, 129, 160 in decreasing order.\nAnswer: 160, 129, 0, -4, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -2*q**6 + 39*q**5\/20 + 275*q**2. Find the third derivative of p(v) wrt v.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/7))\/(w\/(w\/w**(-2\/29))))**45*w**(-1\/9)*w\/((w\/(w**(2\/7)*w))\/w*w)*(w\/(w**(1\/8)*w)*w)\/w**4 assuming w is positive.\nAnswer: w**(862493\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183.4 + 199. Let h = 12.6 - b. Let r = -29.4 - -29. What is the closest to -1\/4 in -1, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -47*v + 294. Solve 43*a + 4 = v*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 54*t**2 - 106*t - 117. Let w be q(-52). Which is smaller: w or -233\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/119, 4, -4, -5\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -8) + (38 - (0 - -9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 401868 and 3748.\nAnswer: 376550316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from dffdfff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1122 + -1117. Determine z, given that -2\/9*z**4 + 0*z**2 + 0 + 0*z**3 + 0*z - 2\/9*z**f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3 - 18*c**2 - 581620*c + 211471622 wrt c.\nAnswer: 9*c**2 - 36*c - 581620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 13 = -11. Suppose 2*m + m - 15 = 3*j, -x*m - 2*j = -50. Factor 5 + 9*k + 15*k**3 - 37*k**2 + m*k**2 - 2.\nAnswer: 3*(k - 1)**2*(5*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1 + 121 = 0. Let h = 28 + b. Solve 0 = -5*z + 5*p - h - 6, 3*z + 2*p = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 28*y + 0 + 0*y**2 + 2*y**4 + 0*y**3 + 11\/10*y**5. What is the third derivative of o(f) wrt f?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47616 by 1488.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -53585100 to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 29 - 37. What is the units digit of ((-17)\/(-4) + y)*-4 + 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*r**(1\/8))\/r*r*r\/(r*(((r**(2\/9)*r)\/r)\/r)\/r))\/(r**(2\/5)\/r**(-15)) assuming r is positive.\nAnswer: r**(-3779\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 170 (base 16) to base 3\nAnswer: 111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - 2130?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 71 = -8*a + 4*a, -4*i + 4*a + 48 = 0. Suppose 5*k - 26 = 4*v, 21*k = i*k - 2*v. Solve 0 = -k*f - 0*f - 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most as big as 7.134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -1 + -2 - (6 - 24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 188*o**2 - 778*o - 574. Determine r(98).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 20\/(-5))*1*1. Solve 3*u + k = l - 5, -l = -5*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v - 66. Suppose -139 = -5*d + 3*g + 5, -d + 2*g + v = 0. What is the tens digit of d\/(-2)*(-4)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fc4a (base 16) in base 4?\nAnswer: 33301022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.98 - 0.08. Let a = -0.4 + v. Let z = a - 0.488. What is z rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -5. Let x = -1.86 - 6.04. Let b = x - p. Round b to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odq when three letters picked without replacement from zmkqodzo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 57 = -3*q + 95, 34 = -4*w + 5*q for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(814\/(-385))*2\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(0 + 4). Let q = 0.3 + -0.2. Let w be (81\/186 - 6\/(-93))\/((-1)\/4). What is the closest to q in w, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = -0*l. Let g = 1 - l. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(6\/(-18)). Let w(j) = -2*j**2 - 2*j**2 + l*j**2. Let g(y) = 2. Let k(b) = -b**2 - 11. Let f(q) = 11*g(q) + 2*k(q). Give w(f(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42908191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*t - 509 = 635 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times 86.1?\nAnswer: -3788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n**3 - 1 + 56*n**3 - 17*n**3 - 2*n**2 - 18*n**3 - 40*n to the form t + j*n**3 + m*n + s*n**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 - -4.7. Let z = 1.8 - 2. Sort z, 0.4, u.\nAnswer: z, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Suppose z*q = -2*q + 175. Let i = q - 17. Calculate the highest common divisor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, g: 4}. What is prob of sequence gmgm?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2532 and -27267.\nAnswer: -69040044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 703*l**2 - 6925*l + 3481. Determine i(-693).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flhf when four letters picked without replacement from frflh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y**2 - 5*y**4 - 10*y + 10*y**2 - 6*y**3 - 14*y**3 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -216, -433, -650?\n\"Answer: -217*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*r**4 + 5*r**4 + 0*r**4 + (-4*r**3 + 0*r**3 + 2*r**3)*(-r + 0*r - r) + 29*r - 29*r - 12*r**4.\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/(16\/(-768))*135\/27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 725790.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:57 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 12363563?\nAnswer: 12363621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 71103564?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 249*a + 8 + 10 + 1018*a to m*a + k and give m.\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223855127775 - 223855187623.7279931. Let f = -59848.7 - j. Let v = f + -0.028. Round v to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*n**4*r - 13*n**4 - 10*n**2 + 1094006*n*r wrt n?\nAnswer: -4104*n**2*r - 156*n**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92.51 and 1916?\nAnswer: -177249.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/9 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*k - 863*k + 251*k - 930*k - 849*k.\nAnswer: -3111*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69 - -13?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + (-5 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 3*m**2\/2 - 1294. Let t(u) = -427*u. Determine r(t(q)).\nAnswer: -1281*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 2.3, 7104, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 134 - 39*n**2 - 57.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31737 - 53157. Let t = 21570.893 + w. Let y = t - 151. What is y rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (1 + -4 - 2) + (193 - 188) - -12.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 222*h + 10 = 223*h, 2*u - 4*h - 32 = 0. Solve 5 = -5*m + 5*n, -4*m - u*n + 1 = -7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m + 0*m + 1 - 48*m**2 + 52*m**2 + (2*m + 1 - 1)*(2*m + 0*m - m) + 2*m**2 - m**2 + m**2.\nAnswer: 8*m**2 + 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946, -955, -970, -991, -1018, -1051, -1090?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*k - 18 = 0, -o + 30*k - 33*k + 31 = 0. What is the remainder when 377 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -23 - (-89 + 75).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 4 - (-21 + 14)) + 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22247, 176017, 592685, 1403699, 2740507, 4734557, 7517297?\n\"Answer: 21908*h**3 + h**2 + 411*h - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43713 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2)*(4*v + 16 - 37 + 18)*(2*v**2 + v - v) - 5*v**3 + 0*v**3 + 3*v**3.\nAnswer: 6*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 17. Let b(c) = c**3 - 6*c**2 + 8*c - 16. Let w be b(5). Sort w, -1\/3, y, -0.1 in ascending order.\nAnswer: y, w, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 3*b - 5*b + (1 + 2 - 4)*(2*b - 2*b - 2*b) + 1 - 3 - b - b as c + d*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**3 + l**2 - 958 - l**3 + 959 in the form g*l**2 + r*l**3 + h + y*l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2252*t - 102. List the prime factors of l(10).\nAnswer: 2, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281697 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/(k\/((k**(2\/9)\/k)\/k)*k))*k)\/k)\/k**1)\/(((k*k\/(k*k**(-5)*k*k))\/k)\/(k\/k**0)) assuming k is positive.\nAnswer: k**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -24957*h - 324390. What is w(-13)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 11*b - 6. Let q(h) = -h**2. Let n(r) = 3*q(r) - u(r). Let v be n(-7). Is v bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 7. Let i be f(-5). What is the second derivative of 2*o + 3*o - o**i - 2*o - o**2 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 - 8*i**2 + 1472*i - 4403. Give v(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/60 + z**3\/6 + 2*z**2 - 2009. What is u(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16928 is divided by 317?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 3*f - 3. Let w(r) = 3*r**2 + 2*r + 2. Let i(s) = -3*s**2 + s + 7. Let a be i(2). Determine a*w(y) - 2*c(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 202563 divided by -22507\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 21*d - 95. Let h be u(5). Are h and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.292 + 67.602. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 153. Let y(b) = b + 5. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22379 = -t - 22401, 5*t = -42*n - 320 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341*2.\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (410\/3)\/((-2)\/(-6)). Suppose 4*v - z = -v. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 252085 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j**2 - 3*j + 7*j - 4*j + 23*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2260, -8474, -18834, -33340, -51992, -74790?\nAnswer: -101734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3 (c) 37 (d) 9 (e) 3\/2 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 4\/((-4)\/(-11)). Let w = 25 + r. Suppose 4*j + 3*n + 3 = 0, -5*j + 3*n = -3*j + w. Put 0.4, j, 1\/3 in increasing order.\nAnswer: j, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 92 = 3*y. Let s = y + -57. Let o(c) = 62*c - 383. Let z be o(9). What is the highest common divisor of z and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 14 + (1 - 4) + 3 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 4*d**2 + 3*d**2 + 14*d**3)*(0 + 6 - 2).\nAnswer: 56*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:42 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510422, 510459, 510506, 510557, 510606?\nAnswer: 510647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - 3 - -4) + 1471 + -1471?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f**3 + 136*f**2 + 53*f. Let r(s) = 51*s**3 + 273*s**2 + 107*s. Let o(a) = 2*r(a) - 5*u(a). What is the second derivative of o(i) wrt i?\nAnswer: 12*i - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/335072435 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0453 - 99.9547. Is y < 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 48 - (7 + 0 + 0)) + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + o + 14, 0 = 5*w - 2*w - 2*o - 40. List the prime factors of (9\/w)\/((-3)\/(-4488)).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 3*y + 1. Let d be 10*(0 + 1 - 0). Let g be (-4)\/d - (-8)\/(-5). What is o(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 3*u**2 + 8*u + 6. What is r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2005, 2006, 2007, 2008?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-12360)\/7725)\/(1\/20)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4 - 4)*(2*j**4 - 3*j + 3*j) + (7529*j**2 + 0 - 7491*j**2 - 1 - 3*j**4)*(j - j + j).\nAnswer: -5*j**5 + 38*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 6, 4*q - 22 = -91*k + 90*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 5. Let q be v(7). Suppose -5*d = q - 81. Suppose 3 = g - d. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20124887 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) -0.08 (c) 3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 125984736?\nAnswer: 1385832096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21035 and 3?\nAnswer: 63105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 15*j**3 + j**2 - 9*j**3.\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 151*g**2 - 86*g - 9593. Calculate c(150).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017492 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**20*d)*d*d*d**(-2))\/(d\/(d**(-17)\/d)*d\/d**(1\/22)) assuming d is positive.\nAnswer: d**(-879\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 274368593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n**3 - 20*n**2 + 58*n - 7. What are the prime factors of c(3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679609 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16415417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1*(-4)\/20). Let m(s) = -3*s**2 - 18*s - 31. Let r(c) = -4*c**2 - 17*c - 31. Let i(y) = x*r(y) + 6*m(y). Let n be i(13). Solve -n*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 19*s**2 + 16*s + 34. Let c be l(18). Let o(u) = -5*u - 6. Let q(d) = -d - 1. Give c*o(b) + 14*q(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 1381178*f**2 - 238461417510*f + 1669162245534.\nAnswer: -2*(f - 345291)**2*(f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-2))\/((-21)\/140). Suppose u = p - 4, -4*p + 2*p = 3*u + 12. Suppose 9 = 4*q - y, -3*q + 4*y + p = -23. Put q, o, 3 in descending order.\nAnswer: 3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -149, -595, -1341, -2387, -3733, -5379, -7325?\n\"Answer: -150*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -683, 1, -1, -4, -2, 75.\nAnswer: -683, -12, -4, -2, -1, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.7. Let d = 0.3 + -0.5. What is the closest to k in 0.5, d, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13374206 is divided by 286.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 32, 48, 80, 134?\n\"Answer: b**3 - b**2 + 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-54))\/(8\/72))\/((-3)\/(-144)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jojjgogojgggng. Give prob of sequence njoj.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198950 and -678?\nAnswer: -134888100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 577753 - -126?\nAnswer: 577879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 6. Let r be a(-5). Suppose m = r - 0, 0 = f - m. Let p(o) = 8*o - 9*o + 0 + 1 + 4*o. Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 1. Suppose 69 = -8*f - 107. Let g = f + 22. Suppose g = -2*x + 7*x - 25. What is u(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1954 or -2096?\nAnswer: -2096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 + 17*h\/3 - 52\/3.\nAnswer: -(h - 13)*(h - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o - 12. Let i be o*(-5 - (-134)\/26). What is the biggest value in 1, i, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/49)*p\/p**(1\/11)*p)\/(p**(-1)\/p)**(-4\/3) assuming p is positive.\nAnswer: p**(326\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202907 or -202903?\nAnswer: -202903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 47 = 5*m, 7 - 1 = 2*m. Suppose -t - 2*r - r + k = 0, 2*t - 47 = -r. Is 4\/(-10) + 235\/t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -49*q + 2538. Determine f(18).\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 587782593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*9 + -10. Solve -q = -2*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmgjipmigmeg. Give prob of sequence ji.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2196453749 plus 58?\nAnswer: -2196453691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 89523\nAnswer: -89523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 2 + -1 + 2. Let z be (h - 0)*(-12)\/(-8). Let q be (4\/(-3))\/(z\/297). Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 15*u**2 - u - 12. Let z be y(-15). Solve 3*s - 14 = 2*r + z*r, 2*r = -3*s + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670585 divided by 5663?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlhmhhhmhmlmlllhllm. Give prob of sequence hll.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2*b - 11, 0 = -7*n + 11*b - 8*b - 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 0 in decreasing order.\nAnswer: 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -248 + 282 + (-16 - -2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 36a7?\nAnswer: -36aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203604370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 1. Let k be d(0). Let b be k + 34904\/(-9130) + 3. Let w = -2\/415 - b. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v + 3. Let f(x) = 3*x. Give -3*f(z) + i(z).\nAnswer: -38*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 137*c**4 - 8*c**2 + 4*c - 188. Let y(s) = -137*s**4 + 6*s**2 - 3*s + 189. Let p(r) = -3*d(r) - 4*y(r). Find the first derivative of p(o) wrt o.\nAnswer: 548*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*l*n**3 + 721*l - 3*n**3 + 5*n**2 - 14312*n wrt l?\nAnswer: -17*n**3 + 721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 4803*w - 218834. Give u(46).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-18)*6\/8)\/((-40)\/(-48))\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -0*j + 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81619743, 81619746, 81619749?\n\"Answer: 3*q + 81619740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 6*s - s)*(0*s**3 + 2*s**3 + s**3) + (-2*s**4 - s**4 + 2*s**4)*(0 + 6 - 2) to r*s**3 + u*s + h*s**2 + p + x*s**4 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, -170, -15 in increasing order.\nAnswer: -170, -29, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 67230*k + k**2 + 67230*k + 6*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/16)\/(((-666)\/72)\/37)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39289854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 31*j**3 - 10*j**2 + 62*j - 70. Is d(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-2 - 0)) + 4 + -8. Let d = g + 12. Calculate the remainder when 25 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 367*l + 967. What are the prime factors of t(92)?\nAnswer: 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 2*z)*(3 - 3 - z**2) - 24*z**3 - 14*z**3 + 33*z**3 - 7*z**2.\nAnswer: -8*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 731*q - 3822. Let i(j) = -487*j + 2547. Let b(w) = -5*a(w) - 8*i(w). Differentiate b(x) with respect to x.\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -1293, -1941?\nAnswer: -2589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-5) + 63\/105?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-3\/5)*s))\/s*s*s**(-2)*s**(-1\/7)*s\/s**6)**(23\/3) assuming s is positive.\nAnswer: s**(-2346\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + t = -2*a - 10, 3*a = -t + 11. Suppose -a*k + 53 = -2*k. Calculate the remainder when k is divided by -2 - -2 - -18*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 22*h**2 - 30*h - 19. Let u = 158 + -181. What is the tens digit of q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*i - 2, -2*d + 3*i + 34 = i. Let t be (-2)\/(-12) - (-58)\/d. Suppose -2*l - t*o - 7 = 0, 0 = 5*o + 7 - 2. Put 0, l, 1 in decreasing order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -14. Let l = -101\/132 + 1\/66. What is the nearest to -1 in l, u, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.1573 - -17.2. Let x = -0.6573 - w. What is the closest to 1 in -2, -1, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -46, 2277 in increasing order.\nAnswer: -46, -8, 2277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 18 + 40 - 4*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 359, 1418, 3183, 5654, 8831, 12714?\n\"Answer: 353*t**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -6. Let f(u) be the first derivative of u**2\/2 + u - 18. Let w(c) = -1. Determine m*w(g) - 3*f(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:59 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 6684625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82198073.\nAnswer: 73, 181, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s\/s**(-5\/11)*s)\/s)*s)\/s*s)\/s)\/(s\/s**(-2)*s))\/((s*s**(-22))\/(s**11*s)) assuming s is positive.\nAnswer: s**(314\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29 + 2 - (1 - 0). Let r(v) = 2*v + 16. Let f be r(-6). Suppose h = f*z - 330. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 3596.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 4\/7, 5, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose f*d - 6 = 2*d - 2*o, -6 = d - 4*o. Suppose 0 = d*w + w - 4*i - 130, 5*i + 96 = 2*w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2\/3*z**3 + 3 + z**4 + 5*z - 3*z**2. Let n(b) = 11*b**3 - 6*b**2 - 17*b + 14. What is -6*n(h) + 17*x(h)?\nAnswer: 2*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480.209 + 480. Let s = i - 0.791. Which is bigger: 1\/102 or s?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37859*p - 42321 wrt p.\nAnswer: -37859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1917 (c) 2\/1201 (d) -2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*l + 25 = 0, -4*l = 5*r + 7 + 13. Let c = 1 - r. Suppose -2*n - 8 = 0, -5*n - 1 = -4*k + 31. Calculate the least common multiple of c and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 1, l: 1, z: 2, n: 1}. Give prob of picking 1 m, 1 z, and 1 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -4 (b) 0.5 (c) 50 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 21*c**2 - 113*c - 65. Let z be k(-12). Let u = -1\/3 - -5\/6. What is the third biggest value in 1, z, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -760*d - 108690. Determine a(-143).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -196, -194, -192, -190?\n\"Answer: 2*r - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -18579.\nAnswer: -2\/18579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:26 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*i + 4*r, -260*r + 265*r - 13 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-822)\/(-548)*12\/10?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28851 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r. Let z(b) = 6*b + 69. Let o be z(-11). Let i(t) = 25*t**o - 12*t**3 - 14*t**3. What is i(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4624, 4595, 4566, 4537, 4508?\n\"Answer: -29*h + 4653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16769, -16766, -16763, -16760, -16757, -16754?\n\"Answer: 3*z - 16772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*s + 581, 2*v = -2*v + 5*s + 728. Calculate the highest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)*l*(l*l*l\/(l*l**4\/l))\/l*l*l**(-4\/7)\/l**(-5))\/((l\/(l*l\/(l**2*l)))\/(l**(-2)*l))**(-1\/33) assuming l is positive.\nAnswer: l**(465\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11054, 3259, -17904, -59119, -127070, -228441, -369916?\nAnswer: -558179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 33, 39, 43, 45, 45?\n\"Answer: -s**2 + 11*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -68913 divided by -93?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:13 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:27 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001583768163 to seven dps.\nAnswer: 0.0001584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 15, -25 = -2*m - 3*a - 0*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849976 is divided by 2864?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2143*h - 6398*h + 2178*h + 2136*h.\nAnswer: 59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 p when four letters picked without replacement from {p: 6, z: 1, e: 4, j: 5}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/9 - 596*u**2\/3 + 486626*u\/9 - 322028\/3 = 0. Calculate u.\nAnswer: -1113, 2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2093045*v**2 + 232920*v - 6480.\nAnswer: -5*(647*v - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45268, -89730, -133390, -176242, -218280, -259498, -299890, -339450?\n\"Answer: l**3 + 395*l**2 - 45654*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80464242 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-21))\/(-6))\/(51120\/(-8946))\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15548190 by -5.\nAnswer: 3109638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50278634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2 + 1308*l + 2600 = 0.\nAnswer: -325, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871003 is divided by 2556.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(720)*2)**2 - (sqrt(720) + -1)*1.\nAnswer: -12*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/59024 and 43\/4.\nAnswer: 59024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Let g(w) = w**5 - 3*w - 3*w**h + 2*w**3 - 3*w + w. Let n(o) = -o**5 + o**3 - 2*o. Let i(u) = 4*g(u) - 10*n(u). Factor i(r).\nAnswer: 2*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 + 32 = 0. Let f(n) = -5*n - n**2 + 0 + 1 + 2. Calculate f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -14.\nAnswer: -81\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -10. Suppose 3*i - m = -3*v, 4*i - 20 = 5*v - i. Differentiate -1 + 3*j**2 - v + 2 + 3 with respect to j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*o = 0, 2*o + 2 = 4. Find the first derivative of -2 + a**4 + 5 - 1 + k wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11320206 (base 7) to base 9\nAnswer: 1777863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 - v**4 + (2*v**3 - 3*v**3 + 2*v**3)*(2*v - 1 + 1) + 0*v**4 + 2*v**4 - 6*v**4 + (1 - 1 + v**2)*(4 + v**2 - 4).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-51)\/(-5))\/((-69)\/1360 + (-7)\/(-112))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71465281*f**2 - 101182402 with respect to f.\nAnswer: -142930562*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4735771*s - 1874325?\nAnswer: 4735771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:49 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 2*t**2 + 0*t**2 - 6*t**2 - 53.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n**(-1\/4))**(11\/3)*(n**(-2\/17)*n*n**(5\/6)*n*n)**13 assuming n is positive.\nAnswer: n**(2973\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(68)*1 + sqrt(68))*1 - sqrt(68) - (-2*sqrt(68)*1 - sqrt(68))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 56 = 6*k. Solve -3*s + 3*o - 7 = -k, -5*o + 29 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -10256435?\nAnswer: -10256342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856957215.\nAnswer: 3, 5, 6521, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 850551198*y**2 - 850551198*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 838*m + 9989. Let r be i(-12). What is the greatest common divisor of r and 1855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 37 - 16 = 0. What is the closest to 2\/11 in -2, 1, a, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**5\/12 - x**3\/2 + 5*x**2\/2 + 1. Let u(f) be the second derivative of k(f). Find the first derivative of u(a) wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (0 + -6 - (-55 - -57))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**3 + 3104 - 3100 - 135*c**3.\nAnswer: -166*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13626 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: What is 48 minutes after 11:46 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 332 - 1540. Suppose 3*x - 168 = l. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + r - 7, -a + 2*r = 5. Let x(d) = 88*d + 10 - 21 - 87*d + 8. What is x(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 17 = 11*q. Factor 0 + 0*l**4 + 0*l**2 - 2\/3*l**q + 1\/3*l**5 + 1\/3*l.\nAnswer: l*(l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*o + 3*u, -5*o - 2*u + 226 = 2*u. Suppose z = -z + a + 10, z + 3*a = -9. Suppose 2*f + 22 = z*f. What is the remainder when o is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 5*c - 1569610 = 0, -c = 4*l - 1569598. What is l rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 3 + 2*r - r**2 + r**2 + r**3 + r**4 to m + y*r + h*r**2 + n*r**4 + f*r**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {w: 1, i: 2, d: 4, q: 1, z: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/11 + -21\/11. Let z = -92 - -369. Let c = -277.1 + z. What is the second smallest value in j, c, -3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = 2*a, -4*a - 4*m + 14 - 6 = 0. Let i(w) = 6*w + 1. What is i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13859 in -8, 2, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*2) + sqrt(68) + ((2*sqrt(187))\/sqrt(11))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l - 96*l**2 - 43*l**2 - 28*l.\nAnswer: -139*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 3*z + z**2 - 3*z. Let x be (96\/80)\/(2\/25). Let m(p) = -2*p + 8. Let a be m(3). Let h(o) = -6*o**2 - 15*o. Determine a*h(v) + x*r(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 224, 236, 248?\n\"Answer: 12*n + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/3 + 599499044*s\/3 + 44924887969614242\/3 = 0. What is s?\nAnswer: -149874761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 45*l + 89*l. What is the highest common divisor of l and 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0*b + 3*b + (-b - 3 + 3)*(-1 + 1 - 1) + 95 + 9*b - 95 + (1 - 5 - 1)*(-b - b + 0*b).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 459 or 371?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*n**2 - 400*n**2 - 134*n**2 + (-n - n + n)*(-n + 2*n + 0*n).\nAnswer: -512*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4)*-3)\/(171\/(-38)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232*y - 1934 - 137*y - 1355*y with respect to y.\nAnswer: -1724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3297*w**2 - 2 + 709*w**2 - 16*w - 15*w - 11*w + 2*w**3 + 41*w in the form q + h*w**2 + a*w + n*w**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -456\/1402517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20450*m + 2*m**3 + 39*m**2 - 39*m**2.\nAnswer: 2*m**3 + 20450*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3492936 and 23.5.\nAnswer: 3492959.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 297, 392, 625, 1056, 1745, 2752?\nAnswer: 4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-32)*(t\/t**(-1))**(-32) assuming t is positive.\nAnswer: t**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 + 2*p + 5. Let o(q) be the first derivative of -15 + 7*q + 1\/2*q**2. Let t be o(-11). Calculate f(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 58116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + -163413?\nAnswer: -163545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*(t\/((t\/t**(-8\/9))\/t))\/t))\/t*((t**(1\/14)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(-131\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-4)\/(-2))*2673\/297?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5*l - 4. Let k be o(-5). Suppose 3*h + 6 = 5*h. Let b(z) = h*z + 3 + 0 + 1. What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 7. Let q be l(11). Let t be q\/(-5) + (-8)\/(-40). Is (-3)\/(-15) + (-3954)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2411, -9702, -21911, -39086, -61275?\nAnswer: -88526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**5\/12 + 2*o**3\/3 - o**2. Let i(n) = n**2 - 1. Let v(s) = -11*i(s) - 2*q(s). Find the first derivative of v(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145828*d**4*f**2 + d**4*f - 2*d**2*f**2 - 2*d - 6056*f**2 + 6 wrt d?\nAnswer: 3499872*d*f**2 + 24*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 3)*(270 - 270 + 45*k)*(9*k**3 - 5*k**3 + 3*k**3) as m*k**3 + c*k**2 + z*k + a + o*k**4 and give o.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(588) - sqrt(588)) + sqrt(12))**2 + sqrt(36)\/(sqrt(12) + sqrt(36)\/sqrt(3)*-6)*4 + 5.\nAnswer: 16*sqrt(3)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.3, -7.63, 13\/23, 2\/27 in ascending order.\nAnswer: -7.63, -0.3, -1\/7, 2\/27, 13\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.2.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7)\/3 - (89206\/1950 - 49).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*g = -32, -g - 8 = -4*z + 6*z. Let n be (-3 - -3) + z\/(-27). Which is the biggest value? (a) n (b) -1\/3 (c) -11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -745068 times 0.411\nAnswer: -306222.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/((x*x*x**(-2\/49)\/x)\/x*x*x)*x)*x*x*x)**(6\/19)*(x**(-24))**41)**(-26) assuming x is positive.\nAnswer: x**(23780796\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 42, 96, 182, 306?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2. Let q(v) = -767*v**2 + 52*v + 52. Let p(s) = 73*s**2 - 5*s - 5. Let k(g) = 52*p(g) + 5*q(g). Determine r(k(n)).\nAnswer: 7605*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l, -4*m - 3*l - 2*l + 49 = 0. Suppose 3*n = -m + 24. Let p(x) = 3*x**2 - n*x**2 - x**2. Let f(r) = -2*r. Give p(f(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 7*k. Let s(w) = -3*w**2 + 7*w - 2. Let x(m) = -5*m**2 + 10*m - 3. Let t(c) = -3*s(c) + 2*x(c). Calculate f(n) + 3*t(n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j**3 - j)*(-167*j**2 + 213*j - 213*j + (j + 2 - 2)*(-j + 0*j + 2*j)).\nAnswer: 498*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4389299178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -195 - -200. Solve 20 = -4*g, -s - g - 2 = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*i - 8. Suppose -2*k = 5*o - 7*k - 125, 4*o + 5*k = 82. Suppose -19 + o = l. Solve p + l - i = -x, 4*x - 4*p = 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 8349365205 + 0*b + 8349365205.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101001001010110000 (base 2) to base 8.\nAnswer: -1511260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883 is divided by 238.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 554 - 554. Suppose 2*s - s = 5. Let q be s\/(2 - 1 - 2). Sort q, -3, t in decreasing order.\nAnswer: t, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-13 + 1281341\/98566)?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 k, and 1 b when three letters picked without replacement from {k: 2, b: 2, z: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**36)**(-20\/7)\/(h**(-7\/3)*(h\/(h\/h**(-1\/2)*h))\/h) assuming h is positive.\nAnswer: h**(-4117\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613606366 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56769457 is divided by 706?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 214808 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.369 - 0.369. Suppose -21 = -2*i - 5*s, -2*i - 2*s = 3*i. Let w = 94\/3 - 31. Put 1, w, z, i in decreasing order.\nAnswer: z, 1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.86489 centuries in years?\nAnswer: 8786.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k - 6. Let r be l(5). Suppose -c - c = -r. What is the second derivative of 3*j + 2*j**2 + c*j - 6*j - j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 - 22975*q**2 + 22975*q**2.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 5*z + 8. Let y be j(6). Suppose 6 = -y*m, -4*a = -2*m - m - 217. Let l = -50 + a. What is the lowest common multiple of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 20*m + 5 - 17*m - 16*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - 2*n - 1. Give m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 99*m**2 + 10*m - 10. Let z(r) = 198*r**2 + 18*r - 18. Give 9*y(n) - 5*z(n).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -5, -0.3, 1.9 in descending order.\nAnswer: 1.9, -0.3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31460, -0.4, 153 in decreasing order.\nAnswer: 153, 4, -0.4, -31460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13394 is divided by 123?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118\/11*l**2 + 0*l + 0 - 2\/11*l**3.\nAnswer: -2*l**2*(l - 59)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 69 - 722*d - 4955*d.\nAnswer: -5677*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 15) to base 7\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -479, -418, -333, -224?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.595 - 1.295. Which is the biggest value? (a) p (b) -2\/13 (c) 2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*n - 13, -23 = -2*z + 2*n - 5. Let u = 492 - 492. Suppose -o + u*o + z = 0. Solve 5*h - h = -x - o, -x = -5*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16754, 16819, 16884?\n\"Answer: 65*k + 16689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 4017?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 + o - o + (109058 - 109058 + 889*o)*(-5*o**2 + 7*o**2 - 8*o**2) to i + m*o**3 + c*o + z*o**2 and give m.\nAnswer: -5331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 - (1 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/3)\/(6\/765). Suppose 4*x = -2*p + 136, -5*p = -7*x + 2*x - h. Suppose -3*a - 3*y + p = -2*y, -4*a + 4*y = -80. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2. Suppose -123 = 4*b + m, 0*m = b - 4*m + 35. Let o = b + 33. Let u(d) = 0 - d - o + 2. Give u(p(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 15693*a - 15689*a + 4*w, -w = 4*a + 29 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Suppose -8 - 87 = -o - 4*r, 0 = -5*o + v*r + 475. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d + 20. What is the hundreds digit of q(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1)\/2*1. Let u(f) = f + 1. What is the remainder when t*(-16)\/(-3) - -1 is divided by u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3014 + 1163. Suppose -15*w = -18562 + z. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, -4, 4, 10 in increasing order.\nAnswer: -4, 4, 10, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.15 + 1.1. Let s = -0.01 - r. Let i = s - 1.04. What is the closest to i in 3, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 85632 = -2*n, 49947 = 3*i + 5*n - 14277. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 - i**3\/2 - 2*i**2 - 282*i - 2. Let q(h) = h**3 - h - 1. Suppose -5*g - 7 + 2 = 0. What is g*r(a) + 4*q(a)?\nAnswer: 3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45872, -182629, -410566, -729689, -1140004, -1641517, -2234234?\n\"Answer: -j**3 - 45584*j**2 + 2*j - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 714 and ((-130)\/(-25))\/((-22)\/(-165)) + -9.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {i: 1, q: 1, p: 3, r: 1, e: 7}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*u**4 - 11*u**4 + 14*u**4)*(-3 + 0 + 0) as l*u**3 + y*u**2 + h*u**4 + x*u + i and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 154*w + 153.\nAnswer: (w - 153)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 167 = -4929. Calculate the remainder when j is divided by 180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416\/21 + -138\/7. Let p(h) be the first derivative of -i*h**3 + 1 + 0*h + 0*h**2. Factor p(r).\nAnswer: -2*r**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l + 0*l + 0*l)*(-15 + 75 + 90).\nAnswer: -3150*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -5. Let a be -10 + d - 1*-5. Let k(r) = -r**2 + 4*r - 2. Determine k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 205548789.\nAnswer: 205548791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**3 + 25*p**2 + 3*p - 55. Let g(o) = 7*o**3 - 26*o**2 - 3*o + 54. Let c(v) = -5*g(v) - 6*t(v). Let k be c(20). Solve k = 21*d - 26*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198*-4\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 + 0*i**2 + 3*i**2. Let m be (-2)\/((-168)\/(-36)) + (-87)\/(-7). Let f(y) = -31*y + 16*y + m*y. What is o(f(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/3, 0.35, -5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i + 336 = 63*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 601 and 995694129?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w - 7. Let j be g(-6). Let a = j + -6. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 450464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 65.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/5 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, w: 4}. Give prob of picking 2 p and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - 5*u**3 + 4*u**3 + u**2 - u**2 - u**3 + (1 + 2*u - 1)*(3*u**2 - 5*u**2 + 4*u**2) + u**3 - u**3 + u**3 + 0*u**3 - u**3 + 6*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 29 - (8 + -9 - -44).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2112220201?\nAnswer: 2112220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*43\/(-473)*18\/(-6)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112854.\nAnswer: 2, 3, 7, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 7. Let g be w(3). Solve -d + g = 5*h - 3*h, -2*d + 8 = -2*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfp. Give prob of picking 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2883149 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-15) - 10\/(-5)) + 3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let j = y - 0.9. Let g = 303 - 2731\/9. Which is the nearest to j? (a) g (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 5*v**2 + v + 7. Is g(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i - 9. Let s(y) be the third derivative of -y**4\/12 + y**3\/6 - 124*y**2. What is s(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 17. Let m be ((-2 - -4) + p)\/1. Suppose 0 = 2*t + s - 16, 4*t - 5 - m = 5*s. What is the highest common factor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttktktktktkkkkkkbtt. Give prob of picking 1 b and 2 t.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -313 (b) 3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 1 + 2 - 1)*(4329 - 6757 - 1855).\nAnswer: 12849*i - 8566","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16203810 and 980?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -306, -1123, -2710, -5325, -9226, -14671?\nAnswer: -21918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + (sqrt(320) + (0 + sqrt(320))*4)**2 - sqrt(320) - sqrt(320)) + 5 + (4*(sqrt(320) + 0 + sqrt(320)) + sqrt(320) + 2*sqrt(320) + 4)**2)*-1.\nAnswer: -46741 - 696*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4802 and 3718.\nAnswer: -1785.3836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 18*o + 27. Let t(a) = -4*a. Calculate t(r(c)).\nAnswer: 8*c**2 - 72*c - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 3 (b) -28\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 452773*v**2 - 1099*v - 15.\nAnswer: 905546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*r**4 + 3*r**3 - 99*r**2.\nAnswer: -960*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 27430 = -3*b + 9049, 2*b - 3*g = 24313. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l**2 - 99*l**3 + 80*l**2.\nAnswer: -99*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31141430 - -152?\nAnswer: 31142022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 m when four letters picked without replacement from {l: 3, m: 8, f: 5}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -211. Let z(x) = -3*x + 2. Let m(s) = s. Calculate i*z(d) - m(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260019 is divided by 7722.\nAnswer: 5193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-1157.\nAnswer: -809.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -253.\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28815143 to the power of 1\/2, to the nearest integer?\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622331 is divided by 642?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 + -0.18. What is the closest to 1 in 1\/2, 5, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**3 - 80 + 82 - 20*c + 19*c as p*c**2 + a*c + b*c**3 + s and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18135254864 rounded to three decimal places?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((-1)\/2)\/(5\/50).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69307*f + 69307*f - 95*f**3.\nAnswer: -95*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 280 = -o. Let j(s) = -2*s**3 - 120*s**2 - 462*s. Let h be j(-4). What is the greatest common factor of h and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42364 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -754*f + 18072. Calculate v(24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -5*s + 171, -1 = 4*p - 4*s + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2. Let i(j) = j**2 - 11*j + 11. Let r(u) = -2*u + 2. Let l(p) = -2*i(p) + 11*r(p). What is l(q(n))?\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24119 and 1399080.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*l + 267*l - 47*l to m + c*l and give c.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:27 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 2) + (2041\/2*2 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-209 - -202) + (-3 - 2) + -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.3 (c) -3 (d) -94 (e) 1.699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**8\/336 + j**4\/12 + 7*j**2\/2 + 3. Let p(h) be the second derivative of l(h). What is the second derivative of p(t) wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -758, -574, -268, 160, 710?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 14 + -17 + (-4 - -13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 29*o + 2 - 7*o**3 - o + 17*o**2 + 8*o**3. Let i be k(2). Let m be (-2)\/(-1) - (1 + -12). Solve -5*s - i = m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1534 and 8.\nAnswer: 6136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*g*h - 499*a**3*g - 15*a*g - 24*g*h - 309*h wrt h.\nAnswer: a**3*g - 24*g - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.781 - -72.4. What is b rounded to 2 decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 22*i - 73. Let p be y(17). Solve -5*d = -3*j - p, 5*d = 4*j + 4 + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1471, -2855, -4235, -5611, -6983, -8351?\nAnswer: -9715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 142269 (b) 0.3 (c) -0.05 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701620243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.999 + 0.001. What is the nearest to 10 in -1\/4, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/90)\/((-174)\/(-7830)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 42. Is (-285)\/y*4\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49395 divided by 37.\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*a = -4*h + 34, -27 = -3*h - 2*a. Let z = 15 - h. What is the lowest common multiple of 20 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180392.\nAnswer: 2, 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.55428 years to centuries.\nAnswer: 0.0055428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 19*h**2 - 43*h + 6. Calculate the remainder when 66 is divided by j(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55974 less than -3.4579543?\nAnswer: 55970.5420457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -106, -2, 5, -0.06 in ascending order.\nAnswer: -106, -2, -0.06, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 9. Let t(x) = -x - 19*x - 5 + 66 - 34. Give -6*t(y) - 17*v(y).\nAnswer: y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 19 - 16)*(-10*u + 2 - 2) - u + 4*u - u.\nAnswer: 232*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03100174654 rounded to 6 dps?\nAnswer: -0.031002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 114898448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051878 minus -4230520.4?\nAnswer: 2178642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.66 * -11734.\nAnswer: -19478.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -41, 3, 4, 5 in ascending order.\nAnswer: -41, 3, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54612 and 44?\nAnswer: 600732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose 0*d - 460 = -b*d + 5*v, -2*d = 2*v - 248. Let o(c) = 3*c - 3. Let i be o(6). Calculate the highest common factor of i and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29161320 divided by 4860220.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 806?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a meter in centimeters?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 9*i + 4. Let z be b(9). Let s(q) = q**2 + 4*q. Let a(u) = u**2 + 3*u. Let m(f) = z*a(f) - 3*s(f). Let t(w) = -39*w**2. Determine m(t(d)).\nAnswer: 1521*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/21922974 and -53\/1665036?\nAnswer: 131537844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + -1.93. What is the second biggest value in l, 0.2, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*c = -k + 21, 4*k - c = 0. Do -1\/24 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k + 5*s + 56, -4*k - 5*s = 92. Let q = k + 23. Solve b - q*b = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = -13. Let w = 5 + b. Suppose 2*d = -d + w. Put 2\/5, d, -5 in decreasing order.\nAnswer: d, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrx when three letters picked without replacement from {r: 3, x: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -63346725729 take away -628?\nAnswer: -63346725101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.2. Let t = 14.73 + -15.489. Let j = -0.569 - t. Are j and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5 + sqrt(175))*-4)**2.\nAnswer: 1280*sqrt(7) + 3824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 39381*r - 275716.\nAnswer: (r - 7)*(r + 39388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -5*k**4\/24 - 4205*k**3\/6 - 3536405*k**2\/4 + 2557*k. Factor p(g).\nAnswer: -5*(g + 841)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 3867\/1406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfmufrr. What is prob of picking 1 f and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 29430.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a = 97 + 273. Solve 0 = -z + a*s - 5 - 5, -4*z = 4*s - 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 3*d, 13*p + 2 = 14*p - 4*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214131433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 8*i**2 - 4*i - 5. Suppose -2*x + 5*m = -18, -4 = -3*x - 4*m - 0*m. Is 14 a factor of k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 - 12. Let u = 21716 - 21713. Put -5, u, o, 5 in decreasing order.\nAnswer: o, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1968, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 0*p - 55 + 0*p - 67 - 178 - 6*p**3 in the form s + w*p**2 + b*p**3 + c*p and give s.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 147340, 147306, 147272, 147238?\n\"Answer: -34*r + 147374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10992*x**2 - 22001*x**2 + 11007*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -d - q, -5*d - 16 = q. Let c(z) = -2 - 16*z**2 - 24*z**2 - 2*z + 36*z**2 - 1. Let j(a) = -5*a**2 - 2*a - 4. Give d*j(b) + 4*c(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/84*(-7)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956 - 928 + 2194*k**2 - 2192*k**2.\nAnswer: 2*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -11) + (2 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999395339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:48 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -500, -755, -1010?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) - 4*sqrt(65))) - sqrt(65))\/sqrt(5) + -1 + (sqrt(39)\/(sqrt(3) + sqrt(18)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: -4*sqrt(13) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41251 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -1)\/(-15))\/((-8)\/(-144))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*g + 7, -5*y - 30 = -8*g + 4*g. Let h be y + 0 + 21\/6. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5718 + -3667. Is 2\/5 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4617?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*s + 12 = -0*s, -4*r = -2*s - 20. Let z be 1\/(((-2)\/90)\/((-2)\/r)). Let n be 2*15*(3 - 40\/z). Calculate the highest common divisor of 80 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/7, -15.6, 2, 4, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/11 + 69\/22. Factor -1 - w*o - 5\/2*o**2.\nAnswer: -(o + 1)*(5*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 54. Suppose -78 = -3*g - o. What is the remainder when 38 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6987242.\nAnswer: 2, 43, 113, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 - 6*g + 2. Suppose -4*d - 248 = -0*d. Let y be d\/10 - (-1)\/5. What is the units digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 773 or 772?\nAnswer: 773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.3 (c) 0.06 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37f6d (base 16) to base 11\nAnswer: 147250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.127 - -11.673. Let k = w - -0.2. Let p = 12.00000008 - k. What is p rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882962337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-2)*(-26)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1488 - -1572. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3, 5*d - p - 311 - 226 = 0. Let v(o) = -4*o + 1. Let n be v(-3). Let b be (n + 3)\/(14\/63). What is the highest common factor of d and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27933 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/15 - p**5\/20 + p**3\/3 - p**2 + 10. Let b be n(2). Which is bigger: 53 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 3*w - 18. Let k be y(6). Suppose 5 = -z - k, 0 = -3*p + 3*z + 33. Suppose p = -2*d, -6*d + 670 = 5*q - d. List the prime factors of q.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 13*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1404 - 120*n + 116*n**2 - 49*n**2 - 71*n**2.\nAnswer: -4*(n - 9)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1216140930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -58. Suppose t + m - 12 = 0, -2*m + m = -k*t + 36. Calculate the remainder when 37 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39889350 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxc when three letters picked without replacement from {m: 1, o: 4, n: 1, x: 1, c: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -186 - 154. Let y be (r\/5)\/((-4)\/(-10)). List the prime factors of (y\/(-3))\/(6\/(-9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 13*z - 2. Let s be g(-6). Let j be (s\/(-20) + -2)\/1. Let l = 0.59 + 0.41. What is the closest to 7 in l, j, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*2*5. Let f = z + 45. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let i = -90 + 130. Let h(f) = -i*f + 43*f - 73*f. What is h(p(n))?\nAnswer: -140*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*h + 114*h + 72 = 0. Solve -1\/2*p**5 + p**h + 0*p + 1\/2*p**3 + 0 - p**2 = 0 for p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24280392579\/896 - 27098648. Let y = 5\/896 + d. Let m = -44137\/6 - -7378. What is the common denominator of y and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 6*q = -4*q + 4 - 6 + 2, -3*q - 19 = -a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/7 + 52692*s**4\/7 - 1210458*s**3\/7 + 2262852*s**2\/7 - 157869*s = 0. What is s?\nAnswer: 0, 1, 21, 17541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7.1 times 3.35\nAnswer: 23.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Suppose 0 = -0*t - i*t. Sort t, 1, -1 in ascending order.\nAnswer: -1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122022 (base 3) to base 14\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u + u**3 - u**3 + 112 + u**3 + 47*u.\nAnswer: u**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/9)*(m*m**(-9\/2)\/m*m)\/m*(m**(-4\/5))**(-26) assuming m is positive.\nAnswer: m**(1537\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 - 116 - (15 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 247, 490, 743, 1012, 1303, 1622, 1975?\n\"Answer: q**3 - q**2 + 239*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (15 + -7 + -8) - -17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 31 = 2*w. Let l = w + -1. What is the least common multiple of 16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(208))**2 + 2 - (sqrt(325) + 3 + 4 - sqrt(325)).\nAnswer: 32*sqrt(13) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -21\/76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7511, -14463, -21415, -28367?\nAnswer: -35319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a*a**(-5\/8)*a)))**(-28) assuming a is positive.\nAnswer: a**(-189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72058844 + 1?\nAnswer: 72058845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(10 - 11)*(-2)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2415, 2419, 2425, 2433?\n\"Answer: t**2 + t + 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/40588 - -285315\/48665012. Calculate the common denominator of -13\/763 and w.\nAnswer: 8393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)**(-38)\/((j\/((j*j**(-8))\/j))\/j)**8)**(-4\/9) assuming j is positive.\nAnswer: j**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135207783 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -2531?\nAnswer: 29\/2531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2\/3) + 5 + 1. Solve 0 = -2*v + 6, -5*q + i = -2*q + 5*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6345071\/8041 - 13416\/17. What is the common denominator of 79\/86 and w?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*h - 3 + 38 = 0, 0 = -4*p - 5*h - 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k + 3. Let p be s(0). Suppose 5*u - 2*u - p*g = 9, -21 = -5*u + 2*g. Solve 4*l + 7 = -u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27015054*s**5 - 111*s + 7958 wrt s.\nAnswer: 540301080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5, -1\/6, -0.2, 0.58 in increasing order.\nAnswer: -3, -0.2, -1\/6, 2\/5, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30333 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27657 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(-1 + 1 - 3*w) - w - 3*w + 3*w + (-1 + 4 - 1)*(5*w - w - 3*w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-26)\/(i**(-17)*i))\/(i\/(i\/i**(-17))*i**(-24)) assuming i is positive.\nAnswer: i**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 10:39 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 893*z - 7476 + 69986 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(167\/3 - 3). Let a(k) = k**3 + 2*k**2 + k + 11. Let g be a(-8). Let b = l - g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7886 = 28*q - 3986. Let p = q - 400. Solve -33*o = -39*o - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m + 4*q - 88, 2504*m - 2506*m - q - q + 18 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17425 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -4.7\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093627 to 5 dps.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 22. Let b be g(-10). Solve -5*d + 5*c = -25, 3*d + d = 3*c + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 884, 880, 876?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 18*w**2 - 8*w - 5. Let j be f(17). Suppose 2*g - 3*u - j = -0*u, 0 = 2*g - 4*u - 146. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 10*n - 7. Let d be u(11). Let g be (-8)\/(-3)*6\/4. Differentiate 2*l**4 - 1 - d + l**4 - 5*l**g wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 - v - 2. Let c be m(2). Suppose -u - 7 = -c. Calculate the highest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 241387 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p - p**2)*(-1 - 292*p + 0*p**2 + 2*p**2 + 298*p).\nAnswer: -2*p**4 - 6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x)\/x)\/(x*x**(-3\/11)*x)*x**(-17)\/(x*x**(-2\/13)*x*x*x) assuming x is positive.\nAnswer: x**(-22882\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6.6 (c) 2\/125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2009, -4033, -6053, -8063, -10057, -12029, -13973?\n\"Answer: g**3 - 4*g**2 - 2019*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114169365 a multiple of 2807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152300304 divided by 2.\nAnswer: -76150152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*y - 17 = -p, 1 = 2*p + y. Suppose -20 = -3*k + 4*k + 4*z, -k - p*z = 12. Let g(a) = 2*a - 1. What is g(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**3 + 246*f**2 - 1043*f. Let w(v) = -10*v**3 + 368*v**2 - 1560*v. Let t(o) = 5*w(o) - 8*y(o). Solve t(r) = 0 for r.\nAnswer: -68, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 5. Determine h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 3*y + r - 0*r, -4*y = -5*r - 328. Let w = y - 21. Calculate the greatest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-12)\/4) + 2. Let a(t) = t**b - 2*t**2 + 2*t**2. Let s(u) = -11*u**2. Give s(a(p)).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 2*x + 161 + 169 - 328 in the form p*x + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, q: 7}. What is prob of picking 1 s and 3 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426220872 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/3360)\/(9\/48)*-10?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flfs when four letters picked without replacement from {s: 1, l: 3, h: 5, g: 1, f: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from bbbblblbbbbbb?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k + 19*k - 54*k + 1 + 18*k - 6. Suppose 0 = 3*d - 3 - 9. Determine u(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -105. Suppose 3*n + 4*h = 2*n + v, n - 5*h = 74. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123902401 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/9)\/(6\/(-90)). Let i = v - -7. Let b(h) = -6*h - i*h + 5*h - 2*h. Let d(s) = -s. Calculate d(b(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4147887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 + 55*u**4 + 90*u**3 = 0. What is u?\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-21) - 10\/35. Suppose -4*c - 472 = -4*d, 0 = 3*d + m*c - 64 - 269. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450 + 450 + 2*q**2 + 6*q**2 + 8*q.\nAnswer: 8*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 3*y)*(2 - 8 + 14)*((2*y - y + 2*y)*(1 - 4 + 4) + (0*y - 3*y + 2*y)*(-1 - 1 + 3)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -68*d + 1. Let f(j) = -117338*j. Calculate q(f(a)).\nAnswer: 7978984*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.35816 rounded to one decimal place?\nAnswer: 35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 - 728\/(-70). Solve 3*n - 23 + f = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - -3. Let d = o - -0.2. Let a be (-4 - (-3 - -3))*(-15)\/(-150). What is the closest to d in -3, a, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 19 = -67 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34051 - 3449?\nAnswer: 30602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 2*h - 3*q, 2*h - q - 1 = 0. Find the third derivative of 0*d**2 + 85*d**3 - 83*d**3 - d**2 + 0*d**h wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*z - 1774, z - 4*z = 12. What are the prime factors of j?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*y - 59. Suppose -3*r + 62 = -5*r. Let t = y - r. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/53506 + 963073\/374542. What is a in -4\/7*a**2 - f*a**4 + 2\/7*a**5 + 6*a - 44\/7*a**3 + 22\/7 = 0?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 28*f + 612. Suppose -3*v - 4*o + f + 315 = 0, 0 = 4*v - 2*o - 446. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 16*m**3 - 5*m**2 + 4*m + 5. Let w be p(4). Let x = w + -526. What are the prime factors of x?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*u + 19, u = -3*u - 4*t - 12. Let k be (-42 + u)\/(3\/922500). What is k rounded to the nearest 100000?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2889000 to the nearest 10000.\nAnswer: -2890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/((-10)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 75938 = 51514. Let q = w - 1291. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose u + 16 = a*u. Suppose u*k - 540 = -2*k. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let o = 149 - 147. Sort 8, o, v in decreasing order.\nAnswer: 8, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*2 + -5 + sqrt(1088) - (-3 + -2*sqrt(1088) + sqrt(1088)))**2 - -5*(sqrt(833) + -1 + 0)) + 2.\nAnswer: -93*sqrt(17) + 17409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 447 + -307. Let q = 139.6 - g. Which is the second biggest value? (a) q (b) 1.3 (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*w - 255 + 64, 5*w = -2*g + 192. Suppose 3*f - 4 - w = 0. What is the highest common divisor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 1 + 6*d to f*d + g and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**3 + 16 + 17 + 13 - 46.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -1313 in descending order.\nAnswer: 0.5, -2, -1313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 159336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 17. Let x be p(2). Is 8441 - x\/(45\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1493 - -2306. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2. Let d(j) be the first derivative of j**2 - 4*j - 354. What is d(i(p))?\nAnswer: 12*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91266887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(99) - sqrt(11))**2 - (sqrt(99)*-2)**2.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 2*k - k - k - k - k - 2*k + 2 - 2 + (0 + 1 + 3)*(3*k + 7*k - 6*k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k**3 + 2*k**2 - 4*k - 8. Suppose 28 - 8 = -10*x. What is the hundreds digit of p(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13395916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -347400 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145409613?\nAnswer: 3, 48469871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28858 = -53*a + 8*a + 22892. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {w: 10, g: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -310086.66 to the nearest one thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096 times -0.03?\nAnswer: -62.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 31*y = 0. Suppose y = -20*g - 33188 + 163888. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -766 - -769. Solve 15*f - 6 = 13*f - q, -s*f + 10 = 2*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 96474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*j - o = 1097*j - 34, -4*j = -6*j + 4*o - 64 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/360 + p**5\/60 - p**4\/24 + p**3\/3 + p**2. Let u(z) be the first derivative of c(z). Factor u(k).\nAnswer: -(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*v - 81*v = -19*v + 7973658. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyl when three letters picked without replacement from {l: 2, y: 2, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3)\/c**(-1\/3))\/(c**0)**(-16) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(72)\/sqrt(6) - (sqrt(3) - sqrt(6)\/(sqrt(6)\/sqrt(3)))**2) + sqrt(27)\/(sqrt(81) + sqrt(9)) + -2)*4.\nAnswer: -40 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 1705 + 625. Calculate the highest common divisor of 99 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c**2 - c - 525 + 522 + c**3 - c. What is i(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 50. What is the remainder when 108 is divided by r(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16170)\/264*2136\/(-3115)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -27, -37, -69, -129, -223, -357, -537?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - k. Let z(i) = -3*i**2 - 8*i - 32. Let f(c) = -c**3 + 4*c**2 + 9*c + 33. Let j(g) = k*f(g) - 4*z(g). Find the first derivative of j(x) wrt x.\nAnswer: 9*x**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1077, -4700, -10695, -19026, -29657, -42552, -57675, -74990?\n\"Answer: 6*x**3 - 1222*x**2 + x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 22, 0, 2\/17, -0.3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -47166 and -47187 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*g**2 + 74*g - 48*g - 26*g - 14*g**3 + 75*g**2.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*h - 3716 - 4117 - 927 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, 341, 1268?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2152\/1614*(-2)\/(20\/3))\/6.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 56*t + 60. Suppose -3*v = -v - 18. List the prime factors of w(v).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097735 is divided by 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-9 - -9))\/((-2)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -1697330, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877 - 12913 = -354*p. Solve 3*b - p = -16 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 3\/2*q**2 + 1 + 0*q. Let a(c) = -3*c. Calculate b(a(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18 - -22 - ((-12970)\/(-33) + 1). Let b = v + 390. Calculate the common denominator of b and 52\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9225516 and 73804128?\nAnswer: 73804128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**4\/4 - 2*a**3\/3 + a**2 - 2*a. Let x be o(2). Calculate the remainder when 37 is divided by (-3 - 2)\/((-3)\/x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumxyuxuuyuuuu. What is prob of picking 2 x and 1 u?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 3. Let q(t) = x*t - 3*t - t + 3*t. Let m(u) = 3*u. Calculate m(q(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-12))\/(4\/(-246)). Let u = c + -38. Solve -2*s + 1 = 3*y + 8, -2*s = -u*y - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -3. Suppose 0 = -0*g - y*g + 44. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 + -35.31. Let c = r - -23.82. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100.7 + -99.7. What is the second smallest value in -2\/3, 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 + -1374\/7. Let d = 0.14 - -0.86. Sort -0.4, g, d.\nAnswer: -0.4, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j - 14315 + 122309 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 317684143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose -1 = v*f + 3*z + 5, 2*z + 2 = -f. Which is the nearest to f? (a) 0.5 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5968890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 - m - 8. Let w = -4 - 4. Let x be c(w). Solve 2 = z + 2*p - 3*p, -4*z - p + 18 = x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 + 2*k - k - 4*k**4 + 4*k**4 - 2*k**4 + k**4 + (-4*k**2 + 4*k**2 - k**2)*(-2*k**2 - 2*k**2 + 2*k**2).\nAnswer: 4*k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26835\/16 + -1678. What is the common denominator of ((-404)\/140)\/((-2)\/5) and f?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -635*v**2. Let r(k) = -24*k - 3. What is s(r(j))?\nAnswer: -365760*j**2 - 91440*j - 5715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2055.6, 5\/2, 2, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.009 + -0.12. Let o = a + 0.1110106. What is o rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgkjv. What is prob of picking 1 g and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0. Suppose -1036*r = -1094*r - 290. Which is the biggest value? (a) 11 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i + 53. What is w(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12215842.\nAnswer: 2, 67, 91163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*q - 5940 + 18167 = -10522 - 4161 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w + 4. What is the units digit of (w - -2) + -1 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120115013?\nAnswer: 17, 29, 53, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 8, p: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*q**3 + 27*q**3 + 22*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -54. Suppose f = 3*c - 2*n, 4*c - 4 - 44 = 2*n. 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 m = -95 + 100. Suppose 4*t - 2*t + 6 = 0, 0 = -5*x - 5*t + 10. Find h, given that -8*h + m*h + 10 - x*h**2 - 2*h = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399418 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110101 - -1?\nAnswer: 10011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.04 (b) 0.4 (c) 4 (d) -1\/8 (e) 266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/15 + -2\/15. Let n(l) be the third derivative of -l**5\/30 - l**4\/12 + 16*l**2. Let x be n(1). Sort o, x, -3.\nAnswer: x, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 5 + 5 + (-z**3 + 4*z**3 - z**3)*(-2*z + 2*z + z) - 7*z**4 + 12*z**4 - 7*z**4 - 5 + z**2.\nAnswer: z**4 + z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -95, -75, -29, 43, 141, 265?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 62?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2*f - 2. Let t(v) = 7*v**2 - 14*v - 3. Let h(c) = t(c) - 5*w(c). Calculate h(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:45 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 12*b - 13.\nAnswer: (b - 13)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 775*r - 16 = 776*r, -10*r - 31 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 15*a + 255 = 0. Let t = -46 + a. Suppose 8*b - t*b - 624 = 0. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -261, 0.2, -0.03633?\nAnswer: -0.03633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose 218 = m - t, w*m + 2*t - 675 = -2*t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + k**2 - 2*k**2. Let r(c) be the third derivative of c**5\/30 + 2*c**3 - 115*c**2 - 2*c + 5. Calculate m(r(w)).\nAnswer: 8*w**4 + 96*w**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.72 - 0.28. Let g = -0.2 - 0.8. Let u = g - o. What is the biggest value in -3\/2, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 - 74014*l - 1369518049 = 0.\nAnswer: -37007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*g = 4706, -4*g - 5862 = -m - 4*m. Suppose 3*j - m = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 1360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 29*w. Let z(k) = -k + 2*k + 549 - 549. Calculate l(z(y)).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/(15*(-10)\/105)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 2\/170807?\nAnswer: 2\/170807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 3*j**2 - 6*j + 5. Let w be m(-5). Let b = 782 - 815. Let z = b + w. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36394, 36447, 36496, 36541, 36582?\n\"Answer: -2*y**2 + 59*y + 36337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53*2 + 7 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210 - 26. Let d = -177 + n. Which is smaller: -0.6 or d?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2048014 and 3599?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 10:34 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -0.113939?\nAnswer: -62.886061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-24)\/((((h\/h**(4\/9))\/h)\/h)\/(h*h\/(h**(-9)\/h)*h)) assuming h is positive.\nAnswer: h**(202\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/4 of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -7\/533423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -487 and 0.2.\nAnswer: -97.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 4 + 2*g**2 + 13*g - 12*g + 21*g**4 - 2*g**3 - 1 - 4 as k*g**3 + v + u*g**2 + w*g + b*g**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-61)\/(-3))\/(80\/2880)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -45.8063?\nAnswer: -45.8063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 9*m + 14. Let n(d) = 5*d**3 - 2*d**2 - 7. Let c(b) = 3*b**3 - b**2 - 4. Give m*c(q) - 4*n(q).\nAnswer: q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2. Let f be 8\/(-5) - (-88)\/55. Let x(w) be the third derivative of 0*w + f*w**4 + 1\/20*w**5 + 9*w**2 + 0*w**3 + 0. Give z(x(q)).\nAnswer: -63*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 5. Let s = 0 + m. Let a = s - -7. Solve t + 2*f = -4 + 1, a*t - 5*f + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.29918 kilometers in nanometers?\nAnswer: 14299180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1100*v**2 + 2*v. Let x(n) = 142999*n**2 - 261*n. What is 261*m(l) + 2*x(l)?\nAnswer: -1102*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 47. What is the second biggest value in -1, -0.5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 18415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/180 - g**5\/60 + g**4\/6 + 2*g**3 - 10*g**2. Let q(t) be the first derivative of f(t). Determine u, given that q(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r**2 + 3*r**2 - 2*r**2)*(-1 - 5 + 5) + (r - r - 2*r**2)*(2 - 4 + 1))*(-2*r**3 + 4*r**3 - r**3).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4\/3)\/w*w)**(15\/8)\/((w**(-5)*w)\/(w*w**(3\/2))) assuming w is positive.\nAnswer: w**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (3*sqrt(104) - sqrt(104))*4 + sqrt(104))\/((sqrt(144)\/(-3*sqrt(8)))\/sqrt(9)))**2 + 2.\nAnswer: 46802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 1 - 3. Let g be 11\/2*(h - 3). Let i(p) = p**3 + 10*p**2 - 12*p + 6. What is the tens digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15005 and -255074\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32941 + -32942. Let d = -1 + 4. Suppose -5*i = d*z - 2*z + 9, -3*z + 5*i - 7 = 0. Sort 5, z, n, -0.4 in descending order.\nAnswer: 5, -0.4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2676 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.348 minus 386902225?\nAnswer: -386902227.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 8*b**2 + b - 5. Determine n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39792743 to the power of 1\/2, to the nearest integer?\nAnswer: 6308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930967 and 71872.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2345*g = -61114 + 81974 + 67088 + 57442 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 * 37126.\nAnswer: -2227560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 423.6\nAnswer: 169.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 2)*(11*m + 7*m + 14*m)*(-29 + 15 + 0) to x*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9055174 divided by 99.\nAnswer: -9055174\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k + 0 + 1\/240*k**5 + 1\/32*k**4 + 0*k**3 + 30*k**2. Find o such that f(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + 105. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 greater than or equal to 24.82543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 11*t**4\/2 - 19*t**3\/2 + 30*t. What is the second derivative of j(w) wrt w?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3878 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3631 - 3631 = 2*u. Let v be (-1584)\/(-90) - (-4)\/10. Solve u = -8*g + 2*g + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -388 - -440. Calculate the highest common factor of s and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 1. What is the least common multiple of -2*(12\/(-10) - (-1)\/5) and o(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1968 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2184\/120 - 4\/(-5). Solve 0 = f*n - 17*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 0*i**2)*(2 - 2 - 4*i) + (i + 2*i - 2*i)*(2*i**2 - 2*i**2 + i**2).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -8. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) 2 (d) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 699*n**2 - 1730*n - 1747. Calculate b(347).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.79 minus -12382?\nAnswer: 12362.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2071 is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*q, 0 = 13*t - 9*t + q + 34 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 9*i**2 + 10*i - 9. Let j be v(-8). Let g = j - -44. Calculate the remainder when 71 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*33253\nAnswer: -3657.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 25 + 15. Let k = u - 6. Suppose -k*n + 6 = n. Let l(h) = -h**2 - h - 1. Let c(f) = -2*f**2 - f - 1. Calculate n*l(x) - 2*c(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let r be (-1)\/(2 + 23\/(-11)). List the prime factors of (t + r)\/(-2 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -55 - 149*w + 28 + 27. Let r(p) = 6*p. Let u(z) = z. Let x(q) = 6*r(q) - 34*u(q). Determine y(x(d)).\nAnswer: -298*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 18. Let f be k(-8). Suppose 5*i - 733 = -w, f*w = -i + 4*w + 151. Calculate the greatest common factor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4854, -11144, -17432, -23718?\nAnswer: -30002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g + 8 = 0. Is (-6)\/g + (-428)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*z - 292, -z + 0*z = 3*v - 214. What is the greatest common factor of v and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 5, -566.\nAnswer: -566, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 35*a - 8*a - 21*a + 71. Let s be h(-11). Let t be (2 - 16)*1\/(-2). Solve -4*j + 5*l = -t, s*l + 6 = 3*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/696780 and 29\/1890?\nAnswer: 2090340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31628, 126530, 284700, 506138, 790844, 1138818?\nAnswer: 1550060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 - 1\/3*n**5 + 0*n**3 + 0*n**4 + 1\/120*n**6 + 20*n**2 + 0*n. Find the third derivative of i(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 37*u - 2120 = 0. Suppose 364 = -2*f + u. Calculate the greatest common factor of 330 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 11 - (-2 - 18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12424211 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(44) + (sqrt(55)\/sqrt(5)*-6 - sqrt(11)) + (sqrt(110) - (sqrt(110) - ((sqrt(110) + sqrt(110)*-3)*3 + sqrt(110))))\/(sqrt(160)*3))**2.\nAnswer: 805*sqrt(11)\/6 + 288731\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59987391461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*a, 5*h + 0*h - 2*a = 7. Let p be h - 8 - (-44 - 1). Solve -4*n = -z - 0*z - 24, -5*z - p = -4*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8356500?\nAnswer: 2, 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a - a**5 + 7*a**5 - 399*a**3 + 399*a**3 + (-1 + 1 + 2*a**4)*(3 - 3 + 2*a).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7586, -30637, -69086, -122939, -192202, -276881?\n\"Answer: -o**3 - 7693*o**2 + 35*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2*(-16)\/(-112)) + (-31)\/(-2).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -441*u**4 - 1015*u**3 + 165*u**2 + 36021 wrt u?\nAnswer: -10584*u - 6090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8588 is divided by 1334?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j. Let q be n(-7). Suppose q = -2*g - 32 + 4. What are the prime factors of 9\/6*g\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258996 and 79456?\nAnswer: 26935584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = s - 0, -4 = -2*s. Let w = a - -24. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = -47*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + (-30)\/(-6). Suppose 2*n + 5*v - 89 = 0, l*v + 0*v + 121 = 3*n. What is the tens digit of (n\/(-4))\/(6\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113553 and 3108.\nAnswer: 3179484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-4*k - 1 + 1) + 3*k - 2*k + 0*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j. Let r(i) = -65*i. Determine v(r(k)).\nAnswer: 260*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 7. Let i be w(9). Suppose -u + i = -10. Calculate the least common multiple of 9 and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 3, u: 1, n: 2, l: 6}. Give prob of picking 2 l and 2 h.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 95*n + 4*u = 20546, 3*u + 41081 = 4*n. What are the prime factors of n?\nAnswer: 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2. Let b(r) = 381167*r**2. Give t(b(p)).\nAnswer: 435864845667*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 120. Let x be 92 + (2 - 3)*1. Let h = x + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 - 9476*f**3\/3 - 1802136*f**2 - 1178874928*f\/3 - 89246020640\/3.\nAnswer: -4*(f + 238)**3*(f + 1655)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccoqcjojcebe. Give prob of picking 3 c and 1 b.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -718893 divided by -3\nAnswer: 239631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449185 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 take away 153825271616?\nAnswer: -153825271618.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/9)\/((-11)\/((-198)\/12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2516)\/18 - 2\/9. Let d = o + 197. Suppose 0 = 4*i - i - d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-4 - -3)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 35*w + 60.\nAnswer: 5*(w + 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 779 = -0*x - 3*w, 0 = -x + 4*w + 171. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/(36\/96) - 4. Let w be -3*((-50)\/(-15))\/j. Let d(v) = 4*v**2 + 9*v. Let s(y) = -2*y**2 - 5*y. Give w*s(k) + 3*d(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -1. Let x be 3\/9*(i - -3). Sort -3, 5, x in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/100)\/(-2)*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (17 - 0) + -37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312993 is divided by 101663?\nAnswer: 8004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25516911 + -3?\nAnswer: -25516914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 37 = -3*x + 91, -78 = -2*x - 4*j. Suppose -2*z + 4 = 2*n - 18, -5*n - 2*z = -64. Calculate the remainder when x is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1855*v = 1854*v + j + 985, -4*v = 5*j - 3940. Calculate the least common multiple of 1970 and v.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose 3*b + 3*i + 22 = 190, 2*b + r*i - 115 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -240 and -226 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -705, -305, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 26*b**2 + b - 1. Let m be q(1). Suppose -16 = -3*h + m. Let d be 1\/((-44)\/(-14) - 3). What is the greatest common factor of d and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 229, 329, 455, 607, 785, 989?\n\"Answer: 13*o**2 + 61*o + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21069 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(17*m - 6*m + 14*m).\nAnswer: -50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4*j + 17, -40*b - 2*j + 8 = -44*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.7577 - 57.8. What is u rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let g(t) = t - 4. Let x be g(-5). Let a be c*(-111)\/x*2. Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 12. Suppose 0 = 2*k + k + m, o - 71 = -5*k. Let j(q) = -2*q - 21. Let f be j(-20). What is the highest common factor of f and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 137*t. Let q(f) = -f**2 - 2*f. Let o(s) = 2*s. Let d(n) = -o(n) - q(n). What is d(z(a))?\nAnswer: 18769*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12886269 is divided by 867.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 544820593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21324 is divided by 1640.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1433 * -0.17.\nAnswer: -243.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.691433 rounded to 3 decimal places?\nAnswer: 0.691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7278820, -7278822, -7278824?\nAnswer: -7278826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 6:43 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -13*y**6\/30 + 49*y**5\/20 - 350*y**4 + y**2 + 4987*y. Find the third derivative of q(z) wrt z.\nAnswer: -312*z + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8255?\nAnswer: 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 19*z - 16 = 0. Calculate the greatest common divisor of z and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 249256*p + 7766069192.\nAnswer: 2*(p + 62314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2057430 - -5?\nAnswer: -2057426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 6:42 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*u + 180*u + 593 + 1360 = -206*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525190854 to the power of 1\/2, to the nearest integer?\nAnswer: 22917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(33) - (sqrt(33) + sqrt(33) + sqrt(33)*-3))\/sqrt(11) - (sqrt(108) + -1) - (4 + (sqrt(75) + 1)*2)).\nAnswer: 20 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 376360 - 1940*o + 5\/2*o**2.\nAnswer: 5*(o - 388)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2 - 7059630*c - 12459593934225 = 0 for c.\nAnswer: -3529815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*-2*1*sqrt(2057).\nAnswer: 1 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 48?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 61506925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 341 = 5*s, 146 = 2*s + 7*k - 3*k. What is the remainder when 462 is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7416 - -7473 - ((-2 - -3 - -1) + 10)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-2376)*-4*6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**3*n**2 + 30*k**3*n - 5856*k**3 + 359*k**2*n + 14*k*n**2 + 16*k*n wrt k.\nAnswer: -30*n**2 + 180*n - 35136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s + 21*s - 11 + 4*s - s. Let d(j) = 2*j. Determine z(d(v)).\nAnswer: 72*v - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/48 - 3205*c**4\/16 - 6163215*c**3\/8 + 15*c**2 - 3. Factor a(s).\nAnswer: -5*(s + 1923)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 + f**2 + 3*f + 2. Give a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/(k*k\/k**(3\/5))*k*k**(-2\/7)*k*k**(-6))\/((k**0\/((k*k**6)\/k))\/((k*k*((k**(2\/3)\/k)\/k)\/k)\/(k*k*k**5*k))) assuming k is positive.\nAnswer: k**(-422\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 180 + 300 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131175884.\nAnswer: 2, 103, 1289, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1190 and 300930.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/27 and -101\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -791.8.\nAnswer: -3167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*((-6)\/10 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 645\/(-344)*1\/10?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 38*f + 178. Let b be s(-11). Solve -5*g = -0*g - 5*w + 5, b*g - w = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, r: 2, v: 3}. Give prob of picking 3 q and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16868 and 36?\nAnswer: 151812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 38*o**2 + 44*o - 55. What is the tens digit of n(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.4, 11454 in descending order.\nAnswer: 11454, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 64*b + 68 = 0. Calculate b.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7*v**2 - 6)*(1 + 2*v - 1)*(2*v - v**2 - 2*v).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -206025 - 3?\nAnswer: -206028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**3 - 3*t**3 + t**3)*((-4 - 4 + 4)*(2 - 3*t - 2) - 3 + 2*t + 3) as f*t**4 + x*t + q + l*t**3 + g*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -3 - (-14)\/(-2). Let c(m) = 2*m**2 - 3*m - 1. Let z(n) = -n**2 - n - 1. Let g(t) = 8*t**2 + t + 3. Let r(l) = g(l) + 5*z(l). Give w*c(i) + 3*r(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/4)\/(-180))\/((-8)\/(-200))*3\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21645 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:29 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33d - -15?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5205 + 0.1.\nAnswer: -7.4205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4999 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 - 88*g**3 - 92*g**2 = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d3d98 (base 15) in base 9?\nAnswer: 13622178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 52*o**2 + 3*o - 4. Let u be z(3). Calculate the highest common factor of u and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q - 7. Let k(a) = 6*a + 4. Let g(i) = 10*k(i) + 6*r(i). Calculate the remainder when g(-4) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6427257 - -34?\nAnswer: -6427223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*u = -1926 - 15282 + 1727 for u.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3416*y - 21 + 3412*y to s + r*y and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*k**2 + 0*k - 414*k**2 + 205*k**2 + 7*k.\nAnswer: -7*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 12, t: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 - (-6 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 4026.6.\nAnswer: 4026.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -13. Suppose -5*d - u = -111, p*d = d + 5*u + 66. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130089 to the power of 1\/2, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570 a factor of 261879140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/157810 and 113\/516?\nAnswer: 946860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6195174.34164?\nAnswer: -6195171.34164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 789886*l**3 - 65*l**2 - 22854.\nAnswer: 4739316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 6*r**2 + 4*r - 3. Calculate u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**7\/210 + g**6\/90 - g**3\/3 - 4*g. Let x(z) be the second derivative of t(z). Find the third derivative of x(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153 is divided by 528?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1553 (b) -313 (c) 4 (d) -5 (e) -2 (f) 0.2 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9\/7)*d)**(-1\/2)*(d\/d**0)\/d**(-8\/9) assuming d is positive.\nAnswer: d**(128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + 12\/18. What is the closest to -0.3 in -2\/7, g, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. What is the first derivative of -2 - 5*l + p*l - 1 wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 47. What is the second derivative of 3*a**5 - 13*a**3 + l*a**3 - 2*a wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 6155206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.876031 litres?\nAnswer: 876.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -30*k**3 + k**2 + 4*k + 2. Let j be f(-1). Suppose -5*s + j = -31. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425820 < 425815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*z + 8*k - 25, 5*k - 5 = 0. Let n(w) = w**2 - 2*w + 4. Let y be n(z). Suppose -2*i + 46 = 4*x - y, -3*x - 2*i = -53. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:57 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 (base 4) in base 7?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01293 to 4 dps.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:23 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 7522?\nAnswer: -7523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -5\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12282 and 27590?\nAnswer: 1903710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**12)**36 assuming i is positive.\nAnswer: i**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (436\/(-4251))\/(2\/3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -38*q. Let x be (2\/6)\/((-1)\/(-6)). Let h(m) = -3*m**x + 54 - 54 + 4*m**2. Give p(h(t)).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = -3*a. Let c(t) = 3*t**2 + t. Let r be c(a). Calculate the greatest common divisor of 90 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Suppose -37 = -7*y - 2. Sort y, 2, f.\nAnswer: f, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 20*d - 2260. Suppose -118*r + 10 = -d*r. Solve 4*f + r + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 4592.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 - -220. Let b(d) = -27*d + 7. Suppose 6*h - h + 15 = 0. Let u be b(h). What is the highest common factor of k and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 15 = 5*b, -1327*b - 5*w = -1328*b - 49 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - -1 - (-781 + 810).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + 0*a)*(2 - a - 2) + a**2 + 5*a**2 + 3*a - 2*a**2.\nAnswer: 3*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d**(3\/5)*d*d*d**(1\/40)\/(d**(-12)*d) assuming d is positive.\nAnswer: d**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404653 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -6*m + 646. What is the greatest common divisor of 85 and m?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -402294 and -402318 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -0.3, -1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/11)*y)**15 assuming y is positive.\nAnswer: y**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 205\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10 - (-36)\/(-60)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -53*b**3 - 2*b**2 + 6*b + 12. What are the prime factors of n(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36551 + -25a5?\nAnswer: 33a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-4)\/47) + 0. Let o = -31 - g. Let x = 227 + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 n when four letters picked without replacement from {n: 7, y: 4}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745717 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 79*n - 796. What is q(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 4*n + 22, -4*v = 4*n + 56. What is the tens digit of (14460\/312 - 2\/v)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000215224749 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274640 to the power of 1\/2, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.83243 to three decimal places.\nAnswer: 4.832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-12) - (-9)\/12. Let u be 1\/v*-3 - -2. Solve 10 = -u*s + 5*p, -4*s - p - 2 - 19 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -1.9 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, -484, -2270, -5918, -12088, -21440, -34634, -52330?\nAnswer: -75188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 1 - (-5 - -2). Let n be 18\/(-24) - a\/4. Solve n = 2*q + 4*c + 20, -2*q = -2*c - c - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02165*-3.\nAnswer: 0.06495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 774694?\nAnswer: 154938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**4 - 220*f**3 + 80400*f**2 - 2952000*f = 0.\nAnswer: -164, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 37120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 3 + 0*c + 2*c + 1. Calculate the least common multiple of 10 and s(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7\/6, 4, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38984 divided by 11.\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 179379 less than or equal to 179378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 6 + 3 - 6) + 0 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + 6\/(-40). Let c = 11 - 7. Factor -w**2 + 3\/4*w**c - 1\/2*w**3 + 1\/2*w + k.\nAnswer: (w - 1)**2*(w + 1)*(3*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 8 - (-13 + 12)) + -12 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34601323 (base 7) to base 11\nAnswer: 1798a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010101 (base 2) to base 13.\nAnswer: -36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445229437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127875768 and 1635240.\nAnswer: 639378840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -24070.19.\nAnswer: -649895.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1 + 2 + 5*h + 6 - 4 - 2. Let y(q) = 6*q. Calculate p(y(v)).\nAnswer: 30*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(7\/(-28)). Suppose 0 = 3*w - 0 - d. Solve -w*z + 4 = g - z, 2*g = -5*z + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1042\/5 + 207. What is the common denominator of (34*(-10)\/96)\/(1\/3) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12164 by 49.\nAnswer: -12164\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 + b - 1. Let s be a(5). Suppose -3*k + 2*k = 1, -s*p + 6 = 2*k. Suppose 2*z = 7*z. Solve -p*m + m - 3 = z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*y - 1 - 11 = 0, -y + 18 = -4*p. Let c be ((-1)\/(-3))\/(p\/(-24)). Suppose 0 = 2*w - 10 + 2. Solve -w*m = -2*b + 18, -2*m = c*m + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0864293 times 0.03?\nAnswer: -0.002592879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 17*a - 173 = -4*a, -z - z + 6*z + 36 = 4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/45 and 46\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -18*v - 89. What is z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350804.\nAnswer: 2, 3, 7, 13, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 9. Let w(d) = 3*d + 6 - 1 - 4*d - 2*d. Let m(k) = 4*q(k) + 7*w(k). Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62073.39mm to meters.\nAnswer: 62.07339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6690 divided by 1\nAnswer: -6690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4)\/(5\/(-4)). Suppose l = -4*q + 31, -2 = -i*q - 6. What is the greatest common divisor of 312 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1506331\/4 + -376582. Factor -15\/2*w + t*w**2 + 12.\nAnswer: 3*(w - 8)*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34282*b**3 + 4*b**2 - b + 187 wrt b.\nAnswer: 205692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 42\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 3*y**4\/4 + y**3\/3 - 2*y**2 - 8*y + 4700. What is d(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.5500017 rounded to the nearest integer?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*t = 2*t, -5*t = -p. Is 7\/5 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9*u + 9793 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12372*k**6 - 8*k**3 - 1145906*k**2 wrt k.\nAnswer: -1484640*k**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70948550 to the nearest integer?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 + 240*w**2 + 1691*w - 28. What is v(-10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 12 = -5*k - 3*s, 5*s - 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*p**2 - 737*p**2 + 93*p**2 in the form u + n*p**2 + d*p and give n.\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/863 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 19292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-2)\/((sqrt(12) - (sqrt(108) + sqrt(12)))*-6).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1199784)\/72*(-2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Suppose -r + 2*r - q = 0. Sort 3, r, 0 in increasing order.\nAnswer: 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 + 27693*r**3 + 138318*r**2 - 664272*r = 0.\nAnswer: -9226, -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/5154, -1\/3, 5?\nAnswer: -5\/5154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6541728 and 172308.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (620\/(-56))\/((-14485)\/40558).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1347019 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2\/5 - 2\/5*i**4 + 2\/5*i**5 - 4\/5*i**3 + 4\/5*i**2 + 2\/5*i = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52835, 105063, 157277, 209471, 261639, 313775, 365873?\nAnswer: 417927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567))**2 - (sqrt(112) - ((-1 + sqrt(112))**2 + sqrt(112))).\nAnswer: -8*sqrt(7) + 2381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 51. Let f(z) = 7*z - 7. Let y(w) = -8*w + 6. Let h(n) = i*f(n) - 3*y(n). Let d be h(2). Is d less than or equal to 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/2*j + 7\/2*j**2 - 3.\nAnswer: (j - 2)*(7*j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.3 - 5.57. Let o = f + 3.27. Let j = 10.2 - 10. What is the smallest value in j, o, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84923 - -146766. Suppose 4*z - s - 34891 = 14579, 4*s + u = 5*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 9) to base 4.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 5*c, 5*f = -8*c + 11*c + 144. Calculate the remainder when 127 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-288) + 286\/30 + (-855)\/95?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 9:41 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 g when four letters picked without replacement from {q: 3, z: 1, i: 4, a: 4, g: 1}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 310*o**4 + 890*o**3 + 280*o**2 - 895*o - 590 = 0. Calculate o.\nAnswer: -59, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814*v + 1673*v = 423 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 430691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.073226 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1562 + -10. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 22*q + 3*y + 217, -q + 13 = 3*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74.1 - -99. Let x = y + -24.7. Put -2\/3, 0.4, -0.1, x in decreasing order.\nAnswer: 0.4, x, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/5)\/((-2)\/(-130)). Let m be k\/(-2) + (-9)\/(-6). Sort -4, -10, m, -3 in descending order.\nAnswer: -3, -4, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (0 - (-2 - (5 - 9))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:19 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 364*u**2. Let w(d) = 3*d. Give v(w(f)).\nAnswer: 3276*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 31 - 99 + 18*n**2 + 68 + 6*n**2 + 4*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 19. Suppose -u = -2*t - 2. Let g = 18 - t. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.705*-4092.\nAnswer: -23344.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7297*j + 21891. Calculate u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51 + 51 + 6*w**2 + 3*w + 3*w**3.\nAnswer: 3*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 115*x + 686. Calculate r(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 226.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.012023980086 - 175.987975504914. Let b = w + 176. Round b to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 10:52 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 655\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -4\/7 (c) 4 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1639003+-8794355\nAnswer: -10433358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72) + sqrt(2))*-2 - (sqrt(2) - sqrt(720)\/sqrt(10))).\nAnswer: -9*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 10*q + 7. Let d be s(-9). Let w be 1730\/4 - (-1)\/d. Suppose n - 3*n + w = 0. Calculate the highest common factor of n and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d + 2*d**4 + (5*d**2 + 5*d**2 - 4*d**2)*(4*d**2 + 5*d - 5*d).\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -21*x - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:54 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:00 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(148*j**5 + 116*j**5 - 220*j**5 + j**3).\nAnswer: 88*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -10, -1\/19, -156\/37?\nAnswer: -156\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) - (sqrt(125) + 3 + sqrt(125))**2).\nAnswer: -1527 - 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12145*a**4 + 76165*a**2.\nAnswer: 291480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p - 10. Let w be (-132)\/(-30) + 2\/p. Solve -l = 2 - 1, -4*s + w*l = 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and 840500.\nAnswer: 2773650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 27 + 27 + 3*k**3 + k**2.\nAnswer: -3*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*g = 638*g - 388 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 - 68 = -4*t. Let d = 22 + t. Let b(r) = -16665*r + 10. Let p be b(d). What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84905 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 1\/2*f**4 + 1\/7*f**7 + 0 + 4*f + 0*f**2 + 0*f**5 + 0*f**3 + 0*f**6. What is the third derivative of i(m) wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 smaller than -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 21. Let j = q + 12. Let u be j\/(-18) + 4\/18. Solve -5*z + 4*z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v - 82*v - 324*v + 1)*(-2*v**2 + 28*v**2 + 15*v**2) in the form a*v**3 + i*v + s + d*v**2 and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431 - 17\/(102\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3555*j + 12616*j - 1295*j to the form s + o*j and give o.\nAnswer: 7766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, -0.5597 in descending order.\nAnswer: 5, -1\/3, -0.5597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -35. Let l = w - 181\/3. Let j = 1 + -1. Which is the closest to -0.2? (a) j (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12830 is divided by 401?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmaaaaaamma. What is prob of picking 3 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 - 5\/(20\/8). Let l = w + -8. Differentiate k + 10 + k - l - 10*k wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 48*m + 5. Let o be z(24). Solve w = 2*w + 2*h + 7, 19 = -3*w - o*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 6*l - 1. Let m(r) = -6*r + 85. What is the remainder when m(6) is divided by c(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(125) + -1) + 6*sqrt(125)*-2.\nAnswer: -30*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/48 and 1\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52224297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 7*m**2 + 62*m - 25. Let u be 34 - -2 - (-4 - 0) - -3. Suppose 125 = -u*h + 48*h. Let d be q(h). What is d rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/110 and -3\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1120 + 4519. What are the prime factors of u?\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 - 35 - 103 - 130.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719849419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - 0 - (-18060)\/(-1200) - (-4)\/80)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*a - 1 - 2*a**3 + a**2 + 70*a - 57 to i*a**2 + r*a + c*a**3 + b and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 9809155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 - 7*z + 2. Let g be n(7). Let f(p) = 3*p**2 + 17 + 3*p**2 - 10*p + 3*p**g - 7*p**2. What is the hundreds digit of f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 134, 15 in decreasing order.\nAnswer: 134, 15, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t - 1. Let s be d(7). Let r(k) = -k - 1. Let f be r(-5). Suppose -j + s = f*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let n be ((-16)\/(-10))\/(v\/(-10)). Let g be (-57)\/(-21) - n\/(-14). Solve 4 = -2*q - 3*q - 2*w, -3*q + 6 = -g*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278887?\nAnswer: 7, 39841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12247572?\nAnswer: 2, 3, 1020631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1733*t. Let v(j) be the second derivative of -j**3\/6 - j - 810. Give o(v(z)).\nAnswer: -1733*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -154842*1\nAnswer: -154842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388.2 - 1.8. Let d = q - -386. Let n = -2 - -1. Which is the closest to n? (a) -1\/5 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1251 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2. Let d(w) = -213208*w. Calculate j(d(g)).\nAnswer: 363661210112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -60, 9, 552, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 1 s when three letters picked without replacement from nddskddpdddydddddd.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:45 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1614\/26 + (-313)\/4069?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-4*((sqrt(475) - (-2 + sqrt(475))) + sqrt(475)))**2 + (sqrt(304)*2 - (sqrt(19) - sqrt(76)\/sqrt(4))*-6)**2 + 4.\nAnswer: 320*sqrt(19) + 8888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81763 = 66*a - 79981 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*r + 3*r = -98, -3*r - 10 = -c. Suppose 4*j + c = 3*f + 5*j, 3*f + 5*j = 2. Solve -3*v = -f - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10367, -41435, -93201, -165665, -258827, -372687, -507245?\n\"Answer: -10349*k**2 - 21*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f**5\/15 + 1798*f**4\/5 - 116648*f**3\/3 + 817480*f**2 - 4766400*f + 1296000 = 0. Calculate f.\nAnswer: 2\/7, 10, 15, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83\/81 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:55 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*2170\/15470 - (-8)\/2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = 124 + 206 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14 = -3*s, -4*s + 24 = -4*f + 8*f. What is the closest to 1 in 2\/23, s, 7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22539 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 2*y**2 - 196*y**3 - 2*y + 5*y**2 + 2. Let k be b(-2). Let h = k + -12587\/8. What is the common denominator of h and 65\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + a**2 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 44. Suppose 2*a = -2*k + 3*a + 13, 0 = 5*k - x*a - 35. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19792821 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -5, 2 in descending order.\nAnswer: 16, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -1 - (4034 + -4049)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -4.8. Let z = 955937\/4 - 238983. Sort -2, g, z in ascending order.\nAnswer: g, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -2\/17, -6\/113, -61?\nAnswer: -6\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 89457235, 89457229, 89457219, 89457205, 89457187, 89457165?\n\"Answer: -2*l**2 + 89457237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-58480)\/5160*2\/(-17))\/(178\/(-3))\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55817.5968 milliseconds to weeks.\nAnswer: 0.000092291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 384\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 10*m**2 + 28*m + 7. What is the units digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182 + 0*p - 2*p**2 + 0*p + 289*p**6 + 301*p**6 - 164*p**6 wrt p.\nAnswer: 51120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jltttzlrlztj. What is prob of sequence tzz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22458245.\nAnswer: 5, 47, 227, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1539 = 28*j - 1401. Suppose 0 = 40*l - 5*l - j. Solve 0 = -4*c + 3*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 20*h + 116. Let o be g(28). Let u = -105 - o. Let -2\/5 - 3\/5*n**u + 3\/5*n + 1\/5*n**4 + 1\/5*n**2 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171 and -0.443108.\nAnswer: 75.771468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5065 + 6 + 3\/2*2. Suppose -y + 12303 = t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 52 = 4*h, -92*r - 93*r + 4*h + 86 = -191*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccedceecc. What is prob of sequence ce?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 69, 176, 373, 690, 1157?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 2000 = 111*o + 128 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.18 and -94790?\nAnswer: 94799.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 + 27*k. Let p(n) = -20*n**2. Determine j(p(w)).\nAnswer: -400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3394112, -3394102, -3394092, -3394082, -3394072?\nAnswer: -3394062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-5 - -7) - (6 - (-4 - -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zsmusukss.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1090 - 29?\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 - -0.9. Let h be (-4 - 13\/(-3))*-2. What is the second smallest value in 0.02, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 44380*w + 22995985 = 0 for w.\nAnswer: -9367, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9088 and 2059?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 38*o - 26. Calculate a(37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013006 to 4 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 3978*t + 7 - 3.\nAnswer: 3978*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 17 + 1 = -2*l, -2*l - b = -16. Suppose l*r + 123647848 = -205152152. What is r rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 691084388 and 7864.\nAnswer: 3932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = -2, -2*i + 4*k - 4 = 0. Suppose 3*v + 347 = u, -v - 105 = -5*u + 2*u. Let q be 2\/(-9) + (-143)\/v. Put i, -3, q in descending order.\nAnswer: i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54967236 - -5365988. Let h = -13733227 + m. Suppose a + 4156952 = 5*o + 50756967, o = -a + h. What is a rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6*u**3\/5 - 264188*u**2\/5 + 598672*u = 0.\nAnswer: 0, 34\/3, 44020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-253)\/4 + 63)\/((-1)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a754 (base 12) to base 9\nAnswer: 27151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 417838 = 2771723 - 165931. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-35))\/(-1))\/((-96)\/64)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 - 247. Let j(q) = -q - q + 3*q. Let a be j(4). Solve -a*f - 13 = -n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r**3 + 4*r**2 - 2*r - 2. Let p be o(2). Let f be 4\/(-2 + 0)*p\/(-92). Solve 5*i + 0*m - f*m = 12, -5*m - 20 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14451925*n + 37712259 wrt n.\nAnswer: 14451925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -5*y**7\/2 - 28*y**3\/3 - 165*y. What is the second derivative of a(t) wrt t?\nAnswer: -2100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*d**2*g**2 + 4*d**2*v - 2*d*g**2 + 3*d*v + g**2*v - 1 wrt g?\nAnswer: 56*d**2*g - 4*d*g + 2*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4858282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + 280\/(-24) + 17\/3. Find the first derivative of 92 + 37*b**4 + 53*b**4 + g wrt b.\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*j**2*l*p + 2*j**2*l - 65*j**2*p*y - 2*j**2*p + 7*j*l*p*y - 3*j*p + 6*l*y - 2*p*y wrt j?\nAnswer: -100*l*p + 4*l - 130*p*y - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/27 and -32\/2169993.\nAnswer: 19529937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4200)*2)\/(6*1*sqrt(6)))**2.\nAnswer: 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148214*f = -148238*f + 216 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**5 - 99*l**4*v**2 + 145*l**3 + l**2*v**2 - 12*l*v**2 + 640*v**2 - 3*v wrt l.\nAnswer: 240*l**2 - 2376*l*v**2 + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 - (5 - 0). Let n = -1 - i. Suppose 0 = n*p - p - 8. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -5, 5, 421.\nAnswer: -50, -5, 5, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -1. Suppose v*z - 228 = -84. Suppose 2*a + 20 = 7*a, 0 = -3*u + 3*a + 36. Calculate the highest common divisor of u and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.26130563 to 4 decimal places.\nAnswer: 3.2613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-75)*6*1. What is the third smallest value in 3\/4, b, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/540 + h**5\/54 + h**4\/9 - 4*h**3\/3 + 2*h**2 - 112. Let n(i) = 0. Calculate i.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 60 - 272 = -3*r, -3*r + 335 = -g. Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5409 + -5439 + (1 - -1 - -104).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9474281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 - 3*x - 3. Let t be w(-2). Let v = t - -5. Solve 5*y + v*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 637, 1205, 1761, 2299, 2813, 3297?\n\"Answer: -v**3 + 575*v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 4 + 1062 + -23 + 26?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/6 - 17*t**5 + 9*t**2\/2 - 18*t - 508. What is the second derivative of h(u) wrt u?\nAnswer: 20*u**3 - 1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1353 + -2649\/2. Find the common denominator of 85\/4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 3239692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 4. Let i be y(-4). Suppose -2*z + 4 + i = 0. Let b(u) = u**3 + u - 1. Let f be b(z). Calculate the highest common factor of f and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -16 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 6*o + 7. Let s be i(-7). Suppose s = -3*l - 2*l + 15. Let z = l - -2. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 70*l + 2. Let r(a) = 2*a. Determine h(r(y)).\nAnswer: 140*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7. Suppose -2*p - l = -6*p - 22, 2*l = -5*p - 21. Let f(i) = -i**2 - 4*i + 7. Let b be f(p). Do m and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 27*y + 144. Let f(l) = 7*l + 36. Let a(t) = -9*f(t) + 2*n(t). List the prime factors of a(-15).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 31 = -p, 0 = 3*p + 2*i + 3 + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -18\/23, -1\/3, 1710, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1404)\/117*(1\/2)\/(9\/60)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-2)\/140*-3*20\/(-45)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -1b7?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 109\/2578006?\nAnswer: 109\/2578006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o - 28. Suppose -2*m + 3 + 17 = 2*d, -3*d + 2*m = -20. Let c be t(d). Is -79 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85453279 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -8*s**4\/9 - 70*s**3\/3 - 584*s**2\/3 - 4906*s\/9 - 484 = 0?\nAnswer: -11, -9\/4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/((57\/190)\/(4\/(-30))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = -1. Let p be n + 0 - (-7)\/1. Suppose p = 2*d - 2*y, -5*d - 1 = 3*y - 0*y. What is the smallest common multiple of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 22*k**2 - 36*k - 73. Suppose 5*p + 44*c - 40*c - 96 = 0, -p + 24 = -4*c. Let t be w(p). Calculate the highest common divisor of 511 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4470.914 nanoseconds?\nAnswer: 0.000004470914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -4, 260 in increasing order.\nAnswer: -4, 54, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9919)\/(-763))\/((-52)\/(-192)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 36945, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = 19. Let u(p) be the first derivative of 50*p**3\/3 + p**2 + 13*p + 6. Is u(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 4, 103 in decreasing order.\nAnswer: 103, 4, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -11) + (44 - 54). Which is the closest to 0.09? (a) -0.4 (b) f (c) 0.5 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3872) + 1.\nAnswer: 1 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -722, -874, -976, -1004, -934?\n\"Answer: 4*l**3 + l**2 - 183*l - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwnwwwwewiwindi. What is prob of picking 1 d and 1 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnnfnnnznfnznn. Give prob of picking 1 z and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 8 = 0. Suppose l + c = -2*l + 4*d, 4*d = l. Calculate the least common multiple of (-3)\/6 + (-6)\/l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-2)\/i)))**4\/(i**(-3)*i*i**(2\/17)))\/((((i\/i**(-2))\/i*i)\/i)\/i*i*i*i**(-3\/4)*(i**(-2\/7)\/i)\/(i**5*i)) assuming i is positive.\nAnswer: i**(-2419\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12430883*r**3 - 3055419*r?\nAnswer: -74585298*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 824.7 or 203?\nAnswer: 824.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 387. What is the highest common divisor of l and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.577 + 1.577. Let g = -6 + 3. Let o = 1 - g. What is the closest to -4\/7 in j, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (4 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125.03 + -124.92. Put -5, 11\/3, m in decreasing order.\nAnswer: 11\/3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6876, 6888, 6922, 6990, 7104, 7276?\n\"Answer: 2*j**3 - j**2 + j + 6874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Suppose 0*v + v = -6. Let g = -3 - v. Let u(n) = -6*n + 4. Let s(t) = 5*t - 3. Let d(f) = g*u(f) + 4*s(f). What is x(d(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1\/3 + (-782)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-5)*30\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-35 + -11 - -17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-10))\/(18\/(-660)). Let o be (-2)\/8 + 19\/a. Let r = 0.03 + 4.97. Sort 0.3, o, r.\nAnswer: o, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s**2 - 4*s**2 + 3*s**2)*(3 + 1 - 3) - 4*s**2 + 12*s**2 + 3*s**2)*(329 - 43*s**2 - 329).\nAnswer: -516*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8876 - -8884. Solve -4*w = c + 15, o = 4*c + w - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 4*f**2 + 12*f + 2. Let h be o(6). Suppose -5*r = 5*l - 130, -5*l = -h*r - r + 70. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (5 - 0)) + (-8 - -15) + -1 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/5 - g**4\/12 - 34*g**2 - 37*g. What is the derivative of l(z) wrt z?\nAnswer: -12*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6649 plus 10?\nAnswer: 6659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 2. Let g(n) = -26*n**2 - n. Calculate g(u(r)).\nAnswer: -234*r**2 + 315*r - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 952761 to the power of 1\/2, to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 872059\nAnswer: 872058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = -4*s. Suppose -2*t - 2*x + 522 = s, 8*t - 5*t = x + 763. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 c when four letters picked without replacement from {z: 3, c: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/562704 and -103\/176.\nAnswer: 6189744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -380 - -383. Factor -10\/9*q**u - 2\/9*q**4 - 4\/9 - 2*q**2 - 14\/9*q.\nAnswer: -2*(q + 1)**3*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49859, 78074, 106289, 134504?\nAnswer: 162719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 13*j**7\/210 - 3*j**3\/2 + 22*j**2. What is the first derivative of k(h) wrt h?\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*v + 11*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21617 rounded to the nearest one hundred?\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/6, -200, -58\/3 in decreasing order.\nAnswer: 1\/6, 0, -58\/3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065660061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25c - 0?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 6*k + 1. Suppose -2*v - 15 + k = 0. Let b(z) = 5*z**2 - 4*z + 4. Let c(x) = -x**2 + x - 1. Calculate v*c(n) - b(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 21 = t - 0*t, -3*t = -v - 7. Let q be (24\/(-10))\/(4\/v). Let n = -6 + q. Solve n = 3*j + j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 10*h + 15. Let i be l(9). Suppose -5*r + 3*b + 12 = 2*b, -2*b = -i. Suppose -r*m = -4*m + 9. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let c = 371 + -372. Let l(z) = 7*z**3 + 2*z**2 - 2*z. Determine c*l(i) + 2*f(i).\nAnswer: -7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1030, -1074, -1126, -1186, -1254?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34363 (b) -48 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12476, 24948, 37416, 49880?\n\"Answer: -2*b**2 + 12478*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x + 41. Suppose 0 = -j + 4*j - 12. What is the highest common divisor of j and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y + 11*y**2 - 13*y**2 - 8*y + (-4*y - 4*y + 5*y)*(-1 + 1 - 2*y)*(-3 + 3 + 2).\nAnswer: 10*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 882, 7559, 25692, 61011, 119246?\n\"Answer: 955*b**3 - 2*b**2 - 2*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 1\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/9, -44, 3\/8, -0.3, 0.405 in descending order.\nAnswer: 1, 4\/9, 0.405, 3\/8, -0.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*i**2*q**2 - 44*i*q**2 - 3536*q**2 with respect to i.\nAnswer: -40*i*q**2 - 44*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/24*(-140)\/(-385)*6\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let t be (-6)\/(-36)*4\/(-1). Let w = 0 - -1. Which is the nearest to n? (a) -2 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 12*o**2 - 14*o - 11. Let k be x(-13). Suppose 0 = u + k*u - 1110. Let b = -248 + u. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125 + 169 + 15)*(-3*g - 3*g + 3*g) to the form b*g + x and give b.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:13 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -637, -1441, -2567, -4015?\nAnswer: -5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*t**3 + 3*t**2 - 1527*t - 2966995.\nAnswer: -75*t**2 + 6*t - 1527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(4\/(-48)). Let k = p - 1. Let 20*x**2 + 17*x**5 - 9*x**k + 8*x**5 + 97*x**3 + 4*x + 72*x**4 + 16*x**2 = 0. What is x?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 2*v - 2 + 12539*v**3 + 1983*v**3 + 6*v**2 - 14*v**2.\nAnswer: 14522*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 2)*3)**2 - (3*sqrt(35))\/sqrt(7) - (sqrt(135)*-1 - sqrt(15))\/sqrt(243))*3.\nAnswer: 301*sqrt(5)\/3 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/51)\/5)\/(4\/12)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*x - 2824 - 1491 - 6978 + 2130 for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43a2 + 2?\nAnswer: -43a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*f - 74*f - 78*f - 224*f**2 - 92*f.\nAnswer: -224*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 139 = 4*h, -2*o = 2*h - 165 + 91. Calculate the remainder when 222 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x + 6 = 47*x. Solve -7*m + x*m - 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, h: 1, a: 6}. What is prob of picking 2 a, 1 v, and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 0.027?\nAnswer: -6.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/(4\/(-84)*-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 != 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 greater than or equal to 940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9046 - 9023. What is the highest common divisor of o and 16721?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0*n)*n*(n\/n**(5\/3))\/n*n\/n**0*n**(1\/4))\/((n**(-1\/6)\/n**(-7))\/(n**(-6\/7)*n*n*n*n\/((n\/n**(2\/13))\/n))) assuming n is positive.\nAnswer: n**(-1075\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x - 2*x)*(0 + 1 - 3) + 2*x + 3 - 3 + 869 - 869 - 159*x - 119*x in the form f + w*x and give w.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*m - 4*p + 293, -2*p - 143 = -m. List the prime factors of m.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/17 + 216\/102. Solve -n*k - 7 = -3*o, 2*k + 3*k + o + 9 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*b**3 - 39*a**3*b*k + 1150*a**3*k + a**2*b**3*k + 43*a*b**3*k - 428*a*b*k wrt a?\nAnswer: 6*b**3 - 234*b*k + 6900*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62302 + -62303. Let h = 8 - 5. Which is the nearest to -1\/3? (a) p (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597184 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(8) + 3 - (sqrt(2) + -1)*-4*3)**2.\nAnswer: -1008*sqrt(2) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142121 + -2?\nAnswer: 2142114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11240 (base 7) in base 11?\nAnswer: 217a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*a - 15 + 3, 4*a = -3*r - 4. Suppose -2*y - a*g = -11 - 19, 0 = 3*y + 5*g - 45. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:54 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 10*y.\nAnswer: 2*y*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 22 = 4*d, 3*q - 5 = d. Suppose d*m = 3*w - 0*w + 21, 0 = 3*w - 3. Let f be 0 + m + 3\/(-3). Put -2\/11, f, -0.1 in increasing order.\nAnswer: -2\/11, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -46. Let s = f + 6. Let u = s + 16. Which is the third smallest value? (a) u (b) -5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 52. Sort l, -4, -5, 3 in increasing order.\nAnswer: -5, -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55\/12 or 5?\nAnswer: 55\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/5)\/3)\/(4770\/(-15900)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 13*k**3 + 2*k**2 - 3*k**2 + 2*k**2 + 4*k**3. Let x(a) = -19*a**3 + 2*a**2 - 9*a. Give -13*g(i) + 6*x(i).\nAnswer: 3*i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f. Let x(d) = -7*d + 11*d - 2*d. Calculate w(x(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.539 - -4.89. Let d = i + 0.049. What is the biggest value in -5, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -7 - -44 - 8 - 16 - 61?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143966378 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7824*r + 7800*r - 216 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/120 + 7*d**2. Let w(i) = -6*i**3. Let z = 22 + -11. What is z*v(s) - 2*w(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 541? (a) 1\/2 (b) 2 (c) -15 (d) 0.09 (e) -1 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -46421055?\nAnswer: -46421055.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2957\/2 - 1441. Let a = m - 37. Let p = 93 - 92. What is the third biggest value in a, -5, p, 6\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(200) + (sqrt(200) + sqrt(200)*2*6 + sqrt(200))**2) + 1 + (sqrt(2) + 2)*1 + 0.\nAnswer: 41*sqrt(2) + 156799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720366911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 33554, 0, -1, 4.\nAnswer: -5, -1, 0, 4, 33554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -163687332\nAnswer: -163687332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 520941 - 484475287\/930. What is the common denominator of 119\/1860 and m?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225855 is divided by 37400.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 l when three letters picked without replacement from {u: 2, l: 1, z: 1, j: 2, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3007722393 - 825.44.\nAnswer: -3007723218.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3))\/z*z*z)\/(z**(2\/15)*z))\/(z**(2\/9)\/(z\/(z\/z**(-4)))) assuming z is positive.\nAnswer: z**(-286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(6 - 2 - 3). Let j(x) = -8 - x + 13189*x**2 + 3*x - 13188*x**2 - 5*x**3 - x + 6*x**3. Determine j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 3*p + 2*p)*(142*p + 361*p + 985*p) as a*p + c*p**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*f + 134840, -3*f + 45140 = 3*v - 35764. Is 8\/(-4) + f + 8 + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6) + 3101\/63*57 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25392 - 276*o + 3\/4*o**2.\nAnswer: 3*(o - 184)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f. Let q(z) be the second derivative of 0*z**3 + 0 + 3*z**2 - 1\/24*z**4 + 4*z. Let s(w) be the first derivative of q(w). Give i(s(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*g - 6336 = 285*g. Is 144 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 - 14*k**2 - 6*k**2 + 3*k - k**2 - 3*k + (2*k - k + 0*k)*(-3*k - 4*k + 5*k))*(-1 + 1 + 2 + (2 + 2 - 3)*(1 + 1 + 0)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4753104 or 4753103?\nAnswer: 4753104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 5*q**2 - 5*q - 6. Suppose -23 = -2*j + j + 2*w, 0 = 5*j + 4*w - 59. Suppose -j = 5*g + 5. Give s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 4:37 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r*r\/r**(-5)*r*(r*r**(1\/2)*r)\/(r\/r**1*r) assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 926697\nAnswer: -6\/308899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 13 + (0 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**6 + 7*g**5 - g**3 - 4*g**2 + 77?\nAnswer: 840*g**3 + 420*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**7\/840 - i**6\/24 + 7*i**5\/60 - 10*i**3 - 157*i. Let n(f) be the second derivative of s(f). Solve n(h) = 0 for h.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-27))\/(4\/6). Which is the nearest to 0? (a) -4 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let d = -72\/5 + 14. Is d smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 5*c - 5. Suppose -8*b + 3*b = 3*o - 41, -3*b = 5*o - 95. Suppose 2*l = 2*g + o, -l - l = 5*g + 20. Determine j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(55)\/sqrt(5)*-1*-4 + (sqrt(99) + 6*(sqrt(99)*2 - sqrt(99)) + 4)**2.\nAnswer: 148*sqrt(11) + 4867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 48840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/120 - 5*c**4\/12 + 2*c**2 + 2*c. Solve u(h) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246431818 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n**2 - 130*n + 541. Calculate u(4).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16.2 + 482.9\nAnswer: 466.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szszszz. What is prob of picking 2 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -0.4 (c) 107157\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s**9\/s*s)\/s)\/s))**40 assuming s is positive.\nAnswer: s**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -399156 divided by 99789\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 612, 1360, 2418, 3798, 5512?\nAnswer: 7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**2 + 2*r. Let n be k(-1). Let s = n - -18. Calculate the lowest common multiple of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 1493885830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 340. What is the remainder when o is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - 1*-9. Let y = f + 84. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387663350*h**5 + 2*h**3 - 28*h**2 - 645446*h wrt h?\nAnswer: 23259801000*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 0\/(-1 + 0). Let o be (8\/(-20))\/(7\/5). What is the nearest to -0.1 in o, 3, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516474078?\nAnswer: 2, 1277, 985307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7961*a**2*g**2 + 198*a**2*g - 112189*a*g**2 + a*g - a - 3*g**2 - 2 wrt a?\nAnswer: 15922*g**2 + 396*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19543 greater than or equal to 136804\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 107 - 12*v - 8*v - 18*v + 9*v. What is the hundreds digit of y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let a = d - 2. Let s be (-84)\/(-22) + 2\/11. What is the biggest value in s, 1\/2, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -1*sqrt(76)*-1 + sqrt(76))*1)\/(sqrt(44)\/(sqrt(44)\/sqrt(4)) + (sqrt(32)\/(sqrt(16)\/sqrt(2)) - sqrt(4))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9171*h**2 + 18001.\nAnswer: 18342*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39667, 78451, 117235?\nAnswer: 156019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43001928 to the power of 1\/2, to the nearest integer?\nAnswer: 6558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05801458 + 174.21.\nAnswer: 174.15198542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 440*u + 637. List the prime factors of q(78).\nAnswer: 13, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74443314*v**3 - 3745818*v - 1?\nAnswer: -446659884*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/3 + 4222*v**3\/3 - 2188680*v**2 + 4431428768*v\/3 - 1084632957824\/3 = 0.\nAnswer: 634, 1196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by 23.\nAnswer: 456\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (14 - 9 - -14) + -1 + -2 - 44\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u = -10. Let o be (-2 - 1390\/u)*(-69248 - 2). Round o to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/2047, 22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**4 + 6*w**3 + 397*w**2 + 2*w wrt w?\nAnswer: -120*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 403143?\nAnswer: -403147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/33 + 21 + (-1216)\/57. Sort -30, 0.3, q, 1, -2 in descending order.\nAnswer: 1, 0.3, q, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 2*c - 5*c + 1640*c**2 + 6*c.\nAnswer: 1640*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22339360 and 903430?\nAnswer: 245732960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 307, 136, -433, -1532?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -4833?\nAnswer: -160\/4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 2*l**3 + 0*l**3 + (-5*l**3 + 5*l**3 + 2*l**3)*(-5 + 3 + 4 + (-2 + 3 - 2)*(2 - 2 - 1) + 4 + 2 - 1).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 4, j: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.85 - 36. Let c = -2.38 + 0.38. Let j = c - x. What is j rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82808749 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7029 at least -8267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4110 - 1355 = 273*j + 3789 + 4942 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*i - 434*i + 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:41 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-8)\/3))\/(280\/(-1568)).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - -206170144.\nAnswer: 206170192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7493 is divided by 416.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19795608 by -36456.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -781735.\nAnswer: -6\/781735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 17 = -4*x. Let t(j) = j**3 - 17*j**2 + 6*j - 6. Calculate the remainder when t(x) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (777\/444)\/(18\/2376*-11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70\/(-105))\/((-4)\/3). Let w = -1745 + 1734. Which is the nearest to w? (a) 6 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.95 - -10. Let z = -0.1536 - -0.0536. What is the smallest value in v, -2, -0.2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -5*t + 15, 0 = -2*o. Calculate the remainder when 6\/t - (-75 + -1) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(-117)\/6*277\/(-2770).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10*c + 6*c - 1966 = 0, 3*c + 9 = 0. What is the remainder when h is divided by 311?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.205 - -2.795. Which is the nearest to -2\/3? (a) 0.22 (b) u (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = -0*n + 5*l, n + 3*l + 1 = 0. Suppose -o + 0*o - u = -4, -10 = -n*o + 5*u. Let x(i) = 0 + 5 + o*i + 2. Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213 and 189783.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 7*x**2 + 3*x + 4. Let a(p) = -3*p**3 + 15*p**2 + 6*p + 9. Let d(j) = 4*a(j) - 9*l(j). Find c, given that d(c) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2403905401?\nAnswer: 4349, 552749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/9828 and 107\/11766.\nAnswer: 19272708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 8 = -0*d. Let l(k) = -k - 1. Let a(x) = -1. Determine d*l(h) - 2*a(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3 - 9. Let t be (1 + (-68)\/20)*(-75)\/x. Let o = -28 + t. Sort 0, o, -5, 5 in ascending order.\nAnswer: -5, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194.97 + -195. Let r = -1 - 24. Let f = r + 19. Do i and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*v + 2, -5*t + 4*v - 2 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 3. Let g(t) = -t - 2. Let b(o) = -13*g(o) - 6*p(o). Let f be b(-5). Suppose 4*c - 2*k = f*k + 35, 5*k + 5 = c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 3, b: 4}. Give prob of picking 1 b and 3 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2772 (base 8) to base 16.\nAnswer: 5fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/40)\/((-1)\/(-316)). Suppose 5*o - 2*o - 342 = 0. Let j = o - k. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 522*n + 8404. Give p(249).\nAnswer: 2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 2. Let w be x(7). Suppose -s - 8 = -2*c, -11 = 3*s - w*c + 8. Solve 2*m = -2*r - 4, -3*r + 2*m + 12 + s = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4777526685 to the nearest one hundred thousand.\nAnswer: -4777500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2*o + 3)*(-74*o + 147*o - 68*o).\nAnswer: -10*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {a: 2, i: 3, y: 4, p: 1, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12324872 + 3257940 = 0. Suppose b = -25*d - 7229297. Round d to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*p**7)**(-29\/3)*((p**8*p)\/p)\/(p**4*p)*(p**(2\/7)*p)**(-1\/39) assuming p is positive.\nAnswer: p**(-57997\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55605367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = 4*l - 5, -3*n + 2*l - 10 = 0. Calculate the lowest common multiple of (-21)\/(-2)*((-12)\/9)\/n and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12441 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -136 (b) -0.1 (c) -0.4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 plus -0.257225076?\nAnswer: 0.492774924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*j = 32, -3*t - 1 - 2 = -3*j. Suppose 5*u = -t*r + 172, -r - 4*u + 55 = -0*r. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v + 2. Let p(r) = 58*r**2 + 87*r + 58. Let s(m) = -29*d(m) + p(m). Let q(w) = 91*w**2. Determine q(s(c)).\nAnswer: 76531*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/75)\/((-6)\/(-504)*8).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 97 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 and 17\/4469222?\nAnswer: 22346110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b16 - -1bcc3?\nAnswer: 191aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -43*x**2. Let a(t) be the first derivative of -t**3\/3 - 18. Calculate g(a(i)).\nAnswer: -43*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.26 - 0.26. Let o = 48 - l. Which is the nearest to 0.1? (a) o (b) -2\/13 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 11*o - 1793. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578104 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5113\/15 + -341. Let x = 2\/7 - 55\/21. Which is the second biggest value? (a) 0.3 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/72 and -71\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4 = -3*g - 4*z, 0 = -4*g - 4*z. Let r be (-39)\/(-15) + g\/10. Determine h so that 4*h**r - 2*h**3 + 2*h**4 - 4*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1720 + -123. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = -14. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 2, m: 2, u: 1, f: 1}. Give prob of sequence mamu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*c**2*x**3 - 32339*c**2 + 432*c*x**3 wrt x?\nAnswer: 174*c**2*x**2 + 1296*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*r - r + 76, -2*r + 2*f + 54 = 0. Let z be (-8)\/r + 2283\/12. What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 7. Suppose 0 = -5*y + 24 + 6. Let u = y - 4. Let v be 12\/(-8)*(u + -6). Let b(p) = -p - 6. Give v*s(g) - 7*b(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 8*a**2 - 9*a - 1. Determine f(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -118. Suppose -r = -3*n + 142. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7897.539 meters to kilometers.\nAnswer: 7.897539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 454 + -8?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let h be -10 + 11 - -2*1. Let a(o) be the second derivative of 3*o**3 + o**h + o - 3*o**3. Give a(j(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2518 in 1, 2, -9\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Let z(v) = -v**3 - 7*v**2 + 6*v + 1. Let w be z(-8). Let x = w - h. Solve k + x = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12010201120112 (base 3) to base 7\nAnswer: -32131466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74575194?\nAnswer: 2, 3, 73, 170263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:32 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + f + 2*f - 4. Let m be w(0). Is m greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, n: 1, p: 1, m: 3, i: 3, c: 3}. Give prob of sequence nm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abjjlaaaalallwaaa. What is prob of sequence llw?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/3 - 46432*b\/3 - 4024426 = 0. What is b?\nAnswer: -22953, -263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 60 = 7*u. Find the second derivative of -12*p + 5*p - u*p**2 - 9*p + 29*p**2 wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*z + 659*z = -4600. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150411450 (base 7) in base 11?\nAnswer: 5688697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -355047 (base 9) to base 16\nAnswer: -34288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*b**3 - 13*b**3 + 34*b**3)*(-4 + 2 + 1) to g + c*b**2 + j*b**3 + h*b and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (126\/(-70))\/(1\/(-5)). Suppose -8*k + p*k = -6. What are the prime factors of (116\/k)\/((-28)\/42)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o**2 + 0*o**2)*(487618*o**2 + 698*o**3 - 487618*o**2).\nAnswer: 3490*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 32*c**2 + 29*c + 60. Let u be j(31). Let x = 0.51 - -0.49. What is the closest to x in u, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 707 - -100. Suppose -j + 1111 = -z. Suppose 2*n + 639 = p, 6*n = 3*p + n - j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/220 and -37\/2530?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g - 65. Give w(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**4 + 7*i**3 + 7*i**2 - 6. Let n(c) = -5*c**4 - 6*c**3 - 6*c**2 + 5. Let p(b) = 7*n(b) + 6*q(b). What is the derivative of p(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + r - 4736 + 4792 = 0, -12*v + 2*r + 56 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-45))\/(1\/(-6)) + -2. What is the third biggest value in -2\/5, b, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120904 and 14196?\nAnswer: 61298328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 5) to base 4\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d - 26. Let q be r(2). What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -5 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210 or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + 1 + (sqrt(468) + 0)**2 - (-1 + sqrt(468) + 2).\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8 (b) 0.14 (c) -2\/3 (d) -0.05 (e) 250 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110220121022 (base 3) to base 14.\nAnswer: -68884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:04 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/9 + 22*a**3\/9 - 76*a**2\/9 + 80*a\/9.\nAnswer: -2*a*(a - 5)*(a - 4)*(a - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17242 - 18052 = -81*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.51 - 5.51. Let q be 0 - (-70)\/(-4) - 0. Let o = -18 - q. Is o at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-9) - (-12)\/18. Suppose 8 = 4*o - 5*m + 24, 0 = 5*o - 2*m + 3. Solve -l + g = -o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 1. Let h be m(1). Let t be 2\/(-2) - h*-5. List the prime factors of t\/(-14) + (-102)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 82921?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 3*x - 4. Let r be q(5). Let m be 0 + r\/5 + -1. Let n = 0.2 + -0.1. Put n, -4\/7, m in decreasing order.\nAnswer: m, n, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-2) + 1)\/((-3)\/10). Solve 5*m - v + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:59 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1583*d + 2. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -6, -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 t when four letters picked without replacement from {o: 1, t: 4, s: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 2, -2, -4 in ascending order.\nAnswer: -4, -2, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 8*m**2 + 17*m + 28. Suppose -5*a + 4*a + 10 = 0. Let d be l(a). Let c(t) = -7*t**2 - 2*t - 2. Give c(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)*36\/(-8562). Let u = 81309\/7135 - o. What is the common denominator of u and 43\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/34*((-25)\/6)\/(-5).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**8\/80640 - a**7\/20160 + a**6\/1440 - a**5\/10 + 6*a**2. Let t(j) be the third derivative of y(j). What is p in t(p) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 801370207 and -155?\nAnswer: 801370362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88740473?\nAnswer: 88740473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - 2*p**2)*(2*p - p**3 - 2*p) + (3*p - 2*p - 2*p)*(22405*p**2 - 366*p**4 - 22405*p**2) + 0*p**5 + 4*p**5 + 0*p**5.\nAnswer: 372*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 34. Let d(a) = -884*a - 1. Give d(y(t)).\nAnswer: 884*t + 30055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48743934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-5*g**2 + 3*g**2 + 5*g**2) + (-3*g + 0 + 0)*(0*g + 2*g + 3*g) + g**2 + g**2 + g**2 + (-3*g + 0*g + g)*(-g + 4*g - 5*g).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + h - 1. Let i(c) = c**2 - 5*c + 6. Let v(t) = t**2 - 4*t + 5. Let w(a) = 5*i(a) - 6*v(a). Let n = -5160 + 5159. Calculate n*p(m) - 4*w(m).\nAnswer: 2*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30855610516 and -21.\nAnswer: 30855610495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (7 - (-13 + 18))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/6 - (3 + (-16)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 277. Suppose -w = -4*c - 2*w + h, -w + 30 = c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v**(-5)*v)\/(v**(-6)\/v**(-1)) assuming v is positive.\nAnswer: v**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -126576344 divided by -4?\nAnswer: 31644086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {n: 1, l: 1, a: 2, b: 2, v: 1, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-672)*-141 - 4 - 3\/7?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.381 + 0.619. What is the smallest value in 2\/3, 0.2, 0.1, v, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/7)*n**11)\/(n**(-10))**(7\/5) assuming n is positive.\nAnswer: n**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t = 2*y - 16, -2*t + 4*y = -18. Solve t*v - 3*v - 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87129548, -87129546, -87129544?\nAnswer: -87129542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(21\/(-9) + 3). Let n be 1\/2 - (-2)\/(-4). Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 7. Let d(w) be the first derivative of 15*w**2\/2 - 15*w - 1. Determine -6*d(m) - 13*y(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 greater than or equal to 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 6*k + 5. What is z(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*l - t + 2*t, 0 = l + 2*t - 12. Let y = l - 0. Solve y*v - u = -7, -2*v + u = -u + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1332 and 3856288.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 2*j**2 - 2*j - 1. Let q be z(-2). Suppose 0 = -q*a + 2*g + 66, -g = -2*g. What is the second derivative of -2*u + u - a + u**2 + 22 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*j - 30. Let t = -10 - j. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025903431 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 12. Suppose 0 = -3*w + g*m + 3 - 4, 6 = 2*w - m. Solve -2*q + 27 - 8 = -w*t, -t - 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2)*1 + -6. Let l = 98 - 52. Let n = -226\/5 + l. What is the third biggest value in n, 2\/21, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 17*y. Solve y = 4*l - 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Solve 4*o = -5*z + 2*o - 23, t*z + 3*o = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75521388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*r - 1)*(2*r**2 + 0 + 0) + r**3 - r**3 - r**3 + 5*r**3 + 3*r**3 + 6*r**3)*(-4 - 5 + 5).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 37580 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10936484 = -68*h + 16*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5044 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/7)\/u)**(2\/7))**(1\/24) assuming u is positive.\nAnswer: u**(-11\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**0*n**(2\/21)*n*n)\/(n**(-1))**(4\/5) assuming n is positive.\nAnswer: n**(409\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1169634 by -6.\nAnswer: -194939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64734199.4 rounded to the nearest ten thousand?\nAnswer: -64730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 749 + 413 = 0. Calculate the remainder when 2883 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/4 + 153*n**3\/2 - 1755*n**2 + 9150*n.\nAnswer: 3*n*(n - 10)**2*(n + 122)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8429\/84090 + -2\/8409. What is the closest to -4 in -1\/2, v, -35?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -5344\nAnswer: 1\/2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1. Let l be (1\/2)\/(2\/4). Let k(v) = -v + 1. Let m(o) = l*d(o) + k(o). Let s(w) = -w. Calculate m(s(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 120*k**2 - 230*k - 717. Calculate l(118).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*b + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/(-8 - (-58)\/8). What is the nearest to -0.1 in d, 1, -1\/9, 1\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 1. What is the second derivative of 83 - 3*c**5 - 83 - k*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43180962, 43180964, 43180966?\nAnswer: 43180968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.4 (c) 6 (d) 2 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 2. Suppose -7*t + 15 = -2*t. Let m(n) = -n - 1. Let d(c) = t*a(c) - 6*m(c). What is the units digit of d(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21688796 = -4*y, 0 = -4*y + 5*p - 0*p - 21688795. Round y to the nearest 10000.\nAnswer: -5420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*3\/(1 - -2). Let f be -3*(-2)\/v - -1. Let q = 0.1 - 0.2. Which is the closest to q? (a) 1\/2 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 14396381.\nAnswer: 1439638.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - -83. Let w = d + 376. What are the prime factors of w?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.809m in nanometers?\nAnswer: 232809000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -21*h**2 + 875*h + 2164. Let t be o(44). Let -706\/3*m**2 - 343\/3*m**5 - t + 236\/3*m + 980\/3*m**4 + 119*m**3 = 0. What is m?\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4941 is divided by 291.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4449638 <= -4449669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(2*i - 3 - i + 2).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43436115 - 64.\nAnswer: -43436179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/5)))**(-7\/6)*(b*b**3\/b)\/b*b**(-1\/3)*b)\/(((b**(1\/5)\/b)\/b*b)\/b*b*b\/(b**(1\/6)*b)*(b\/(b*b**3))\/(b*b**(-1))) assuming b is positive.\nAnswer: b**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -25*w**4\/4 - 39155*w**3 + 31345*w**2\/4 + 31325*w = 0.\nAnswer: -6265, -4\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 6666?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:02 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c82 (base 16) in base 2?\nAnswer: 111110010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -111?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {g: 1, b: 5, k: 1, t: 4, p: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r - 4*r)*(-r + 2*r + r) + (7*r - 13 + 13)*(2*r - 4 + 4).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -18*k - 595 - 9*k + 210 - 6*k. Let y be w(-17). Calculate the greatest common factor of y and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18613\/156 + 1249\/12. Let u = 253\/26 + p. Find the common denominator of u and (-436)\/66*15\/20.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*a - 4, 0 = a + 4*k - 6*k - 4. Let c(i) be the third derivative of -1\/150*i**5 - 2*i**2 + 0*i + 0*i**3 + 0 + a*i**4. Factor c(l).\nAnswer: -2*l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Suppose -5*f + 5 = -0*f. Let w(o) = o**3 - 3*o**2 + o - 3. Let v(i) = f*w(i) + q(i). Let x = 4 + -2. Calculate v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10705\/156 - -1008\/13. What is the common denominator of v and (((-1)\/(-14))\/1)\/((-24)\/992)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1163, 1224, 1297, 1388, 1503, 1648, 1829, 2052?\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215506642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 1, i: 3, f: 1}. Give prob of picking 2 i and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-2 - (14 - -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/20 + v**4\/2 - v**3 + 7*v**2\/2 - 2*v. Let n be g(-7). Let c(d) = -d. Let p be c(-2). Is n at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 217. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (3*sqrt(8)*2 + sqrt(8))\/(sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400) + sqrt(400) + -3*sqrt(400) + sqrt(400)) + -3)**2.\nAnswer: -22598\/225 + 28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*h. Suppose -h*r - n = -6*n - 51, 5*n = 2*r - 23. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9)\/j*j)\/j**(-7\/2)*(j**(-2))**(1\/31))\/(j**(-3)*j*j**1*j*((j\/(j*(j\/(j*j**(-2\/15)))\/j))\/j)\/(j*j*j**(-9)*j*j)) assuming j is positive.\nAnswer: j**(-3373\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-6)*o*o**8 assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -14, -40, -88, -164, -274, -424, -620?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-35))\/(6\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 1. Suppose -2*d = -0*d + 5*a - 23, -20 = -4*a. Let z(g) = g. Calculate d*u(m) + z(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 37*t - 256. Let q be w(7). Let j(f) = f + q - 5*f + 2 + 2*f. Let s(i) = 5*i - 9. Calculate -5*j(y) - 3*s(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -348, -770, -1308, -1956?\nAnswer: -2708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2799169, -2799169, -2799167, -2799163, -2799157?\n\"Answer: l**2 - 3*l - 2799167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 + 7 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*w = -11, 2*c + 4*w - 20 = -w. Solve 4*n - c*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*d + 13. Let r be d\/(-1 - 3) - -20. Calculate the greatest common divisor of r and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 9. Let x be r(-12). Let v(m) = -m**3 - 2*m**2 - m. List the prime factors of v(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -16, -58, -102?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + p**2 + 4*p - 4. Let s(z) = -z**3 - z**2 - z + 1. Let j(x) = -h(x) - 4*s(x). Find the third derivative of j(r) wrt r.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:03 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:43 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 34. Solve -d - 17 = -0*d - 3*b, -5*d = -g*b + 35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 2836 + 242 = 0. What is the smallest common multiple of 11 and w?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 386 and 2123.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 17. What is the common denominator of (148\/(-24))\/(20\/f) and -41\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -296\/5*j**2 + 296\/5 + 2\/5*j**3 - 2\/5*j.\nAnswer: 2*(j - 148)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 77*c + 35 to the form p + v*c and give v.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3925*k**2. Let p(m) = m**2 - 88. Determine p(u(r)).\nAnswer: 15405625*r**4 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4 - 1 - c + (-1 + 5 - 5)*(c + c - c) + c - c + 2*c - 5*c + c + 2*c.\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.1, -3, 2.97, -2, 21, -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/333000 and -19\/1200.\nAnswer: 666000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1 - (-14598 - -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/20 + 16*c**3\/15 + 38*c**2\/5 + 16*c - 997. Determine t so that s(t) = 0.\nAnswer: -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8626136 litres to millilitres.\nAnswer: 862.6136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 4*f - 4, -5*z + 4*f = 3. Is 12 a factor of (3 + 90\/6)\/(z\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 87*t**5 + 1817*t**4\/3 + 3845*t**3\/3 + 1081*t**2 + 914*t\/3 - 40\/3 = 0.\nAnswer: -4, -1, 10\/261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2040 = 105*x - 212*x - 233*x. Let p be 3\/12 + (-91)\/(-4). Are x and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20244 (base 6) to base 13.\nAnswer: 12c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (4 - (8 + -1 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.2, 3.9.\nAnswer: 0.2, 1\/4, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4 + (-4)\/(-8). Let b(g) = 6*g. Calculate b(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-78)\/(-16) - 7\/(-56). Suppose -2*a + 47 + 313 = h*c, 3*a = 15. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - 2*sqrt(200))\/(sqrt(90)*1))**2 + ((sqrt(495)\/(sqrt(11) + (-1*sqrt(11) - sqrt(11))))\/(-1*sqrt(9)*3))**2.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 14*m + 18*m = 40, -5*h = -3*m - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 50, 33, -4, -67, -162, -295?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -14. Let w(q) be the second derivative of q**5\/20 - 5*q**4\/12 - 7*q**3\/6 + 3*q**2 - 3*q - 18. What is w(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13458139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**2 - 3*q**2 - 5*q**2 - 7*q**2 - 22*q + 22*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1836.5 - 1837. What is the biggest value in -1\/9, 1.56, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.08 + -78. Let f = y - 0.08. Which is the nearest to 1\/4? (a) 3 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - -6 - (16 - 54 - -18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (sqrt(304) + -1*sqrt(304) + 0 - 2*1*sqrt(304)) + -3)**2.\nAnswer: -16*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(252))**2 + -2)*-6 - (-5 + (-1 + (sqrt(252) - 1*sqrt(252)))**2).\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 m when four letters picked without replacement from mqmqqmmm?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 770549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -128933, -515707, -1160327, -2062793?\n\"Answer: -128923*t**2 - 5*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*15*(-971)\/8. Let i = a - -1818. Let d = i + 131\/56. Do 1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -215*r**3 + 65*r**2 + 130*r. What is the lowest common multiple of m(-2) and 60?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26043*g + 1041762. Determine v(-40).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (-6*-2*sqrt(190) + sqrt(190) - sqrt(190))\/sqrt(10)) + 0)**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-18*8\/12)\/(2\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24103*a**4 - 1043*a**2 + a - 73283509 wrt a.\nAnswer: 96412*a**3 - 2086*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + 3*o**5 + 3*o**5 + (16640*o**3 - 4*o - 16646*o**3 + 2 + 36*o)*(-o + o - 2*o**2).\nAnswer: 19*o**5 - 64*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259036135?\nAnswer: 5, 51807227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {k: 4, e: 6, m: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > -758747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 31 = -84. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -60.5. Let j = 7.7 + -9. Let b = j - -0.3. What is the closest to b in w, 1\/3, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -366182 or -366125?\nAnswer: -366182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2*l - l)*(0*l + l + 3*l)*(78*l - 7 + 7).\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.98 minus 5?\nAnswer: -53.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - 2*f = -361034, 5*f - 288817 = 4*d. Let c = 214268 + d. Suppose -340940 - c = -7*m. What is m rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*z**3 + 54*z**3 + 196*z**3 + 58*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77662 and 352014.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-7)*26740\/6112.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w + 230. Give r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + 8*a - 12. Let x be g(5). Solve -8*f = -x*f - b + 5, 3*b + 9 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14162*o + 259542 + 731798 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-112))\/((24\/(-14))\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(-6\/11)\/m)\/m*m))\/m)\/m)**28*m**(-3\/5)*(m**(3\/10)*m*m)\/m assuming m is positive.\nAnswer: m**(1757\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8999965.\nAnswer: 5, 13, 138461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -771, -5 in decreasing order.\nAnswer: -4, -5, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brvbvvvbirrqqrrv. Give prob of picking 2 r and 2 q.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*(sqrt(130) - ((2*sqrt(130) - sqrt(130) - sqrt(130))*-2 - sqrt(130)) - sqrt(130)))\/(sqrt(110)\/(sqrt(110)\/sqrt(90))*-4))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*x + 77, 2*x + p - 12 + 59 = 0. Let g = -24 - x. Solve 11 = -5*b + i - g*i, -8 = 2*b + 4*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*(i\/i**7)\/i*i**(-26) assuming i is positive.\nAnswer: i**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 5)*1\/3. Suppose q*u = u + 2480. Let r = u + 500. What is r rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 6. Let x be w(8). Suppose -x*n = 5892 - 2056. What is the remainder when n\/(-42) - (-2)\/6 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.4 (b) 23381 (c) 0.5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -631.883924 and 46?\nAnswer: 677.883924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + (6 - 7) + 6 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/32584 and 67\/24?\nAnswer: 97752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-960))\/((-36)\/3060).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/129 + 2267\/1419. Let y = 14211 - 141991\/10. Calculate the common denominator of y and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 35*d**2 - d. Let k(r) = 3*r**2 - 33*r + 73. Let h be k(3). What is f(h)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 248*m*u*z**2 - 127*m*z + 2*m - 77*u*z**2 + 176*z**2 wrt u.\nAnswer: 248*m*z**2 - 77*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-23)*g**(-2)*g assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36194 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 + 99. Let t be -6 - ((-26245)\/87 - 1\/3). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let d(n) = 5. Suppose -31 = 4*p - 3*m - 2, -4*p = -4*m + 32. Let f(v) = 0 - v - 2 + 6. Let s(o) = p*f(o) + 4*d(o). What is s(g(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000000100000 (base 2) to base 5.\nAnswer: -343240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 94. What is the second smallest value in f, 6, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2866394 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -36067, 20, -0.2, -0.5, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 43 - 7. Let b(i) = -i**2 - 4*i + 15. Let n be b(p). What is the third derivative of 34*v**2 + 10*v**3 + 4*v**2 + 2*v**2 + 35*v**n wrt v?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -488982a - 11?\nAnswer: -4889840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25*((-6)\/(-21))\/(5\/7). Suppose 5*l - n = 3*y, l + 11 + 9 = 5*y. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233308 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 1, z: 4, g: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -db + -2?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889080.\nAnswer: 2, 3, 5, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 98 = -5*w + 82 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98705*q - s = 98706*q + 27, 0 = -635*q + 4*s + 108 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -871, -872, -873, -874, -875, -876?\n\"Answer: -h - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.06125455 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2107 + 16a?\nAnswer: -1a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4097)\/(-49887))\/(170\/15).\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/5 + 9*s**3\/5 + 6*s**2 - 72*s\/5.\nAnswer: -3*s*(s - 4)*(s - 2)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2584, -2585, -2586, -2587?\nAnswer: -2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Let l = -0.5 - -4.5. What is the closest to j in l, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 8*x**2 - 8*x - 3. Determine w(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*b - b**2 - 30*b + 13*b**3)*(-3*b + 0*b + 5*b).\nAnswer: 26*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.4 (b) -4 (c) -21 (d) -1\/10 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1220900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v + 43. Let c(h) = h + 6. Let z be c(-11). Let k be d(z). Put -1, 6, k, 2 in increasing order.\nAnswer: k, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 1. Calculate the lowest common multiple of i and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2. Let u(w) = -29*w**3 + 2*w**2. Determine 2*c(v) + u(v).\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-2964)\/2565)*2.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j - 4. Let f be p(7). Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31033356 by -4.\nAnswer: -7758339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 - (-1 - 3 - (-173 - -183)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2982254, -0.5, 2\/15 in decreasing order.\nAnswer: 2982254, 2\/15, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 13. Let t be (-3)\/(3\/(x + -2)). What is the greatest common factor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i - 13*i + 226*i**3 + i**2 + 25*i + (2*i - 2*i + i)*(-i**2 - 2 + 2) in the form w*i**2 + u*i + r*i**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -9. Let n be (-3 - -5)*(-2)\/z. Solve n = f - 2*o + o, 5*o = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.6 (b) -5 (c) 0.2 (d) 13.21 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*h - 9. Let o be ((-77)\/5 + -1)*(-2 - h). What is the tens digit of 3 + -1*(o + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, -3, -5 in increasing order.\nAnswer: -5, -3, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Let l(o) be the first derivative of -6 + 0*o - 1\/2*o**b + 1\/6*o**3. What is u in l(u) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -14, -2 in descending order.\nAnswer: 13, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12053995*j**2 - 4*j**3 + 12053995*j**2.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**2 + 208*b + 204 = 0?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*t + 9 = 2*c, -2*t = 4. Let k = c + 8. Suppose -k = 2*a - 5. Solve -5*m - a = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572995 * 51.9\nAnswer: 29738440.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16642 and 4511?\nAnswer: 75072062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.4 (c) -4 (d) 0.24 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 20. Let x(r) = -1 + 2*r - m*r + r**2 + 4 - 2. Calculate x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4. Let a = 0 - 3. Let x(u) = -u - 9. Let h(z) = a*x(z) + 7*w(z). Let n(s) = s + 2*s - 4*s. Determine 2*h(f) + 7*n(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.07427kg?\nAnswer: 5074.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5416?\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122340153.\nAnswer: 3, 13, 751, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 40 = 4*y. Let a(m) = m + 1. Let p be a(5). Suppose -4*w = -y, -2 - p = -o + 3*w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 + 94. Let l = -79.00157 - y. What is l rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 0, -22*u - 4*f - 24 = -25*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6979*s - 1032640. Give q(148).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**2 - 11*k**2 + 6*k**2 + k**5 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3233334*v + 2. Let b be o(-3). Round b to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*x - 14, -8 - 3 = 4*r - 3*x. Is (1 - (-6)\/(-3))*r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6*t - 16. Suppose 0 = j + t*j + 3. Is 24 a factor of 9\/((-3)\/(j*24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-m - m**2 + m) + (-2*m + 0 + 0)*(3*m - m + 0*m) + m - 2*m**2 - m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*x**2 - 37*x**2 - 46*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 3*p + 6. Let f be t(-3). Let b be (f\/9)\/(3\/261). Calculate the common denominator of (-4 - b\/16)*1 and 91\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 35 = 2*n, -6*i = -5*n - i. Solve 0 = a - r - 4, 5*a = -n*r + 6*r + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - w**2 + w**2)*(0*w + 2*w - 3*w + (674 - 674 - 11*w)*(-1 + 0 + 3)) to i*w**3 + k*w**2 + u*w + z and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*o + 25*o - 356*o - 30150 = 23*o for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154648 and 5902?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 2*t**2 - 3*t**2 - 40 + 58. Is 3 a factor of w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 132\/(-11) + (-183)\/24?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 1, 181963?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -30 + -18 + 17 + -11\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooccocbccc. What is prob of sequence oob?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 3, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*n - 2012 = 0, -2*j + 12*n = 7*n - 1358. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 80 = 18*i, 8*m + 31 = 1171*i - 1171*i - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 13*c + 7*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Let w = -2 + t. What is the second biggest value in w, -0.4, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*w**3 - 3*n**3 - 2*n**2*w - 63*n - 2*w**3 + 218*w**2 wrt w?\nAnswer: -6*n**3*w - 12*w + 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1515 + 5?\nAnswer: 151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/280 + m**5\/60 - 5*m**4\/12 - 17*m**2. Let y(j) be the second derivative of b(j). What is the derivative of y(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n + 40*n + 91*n = -384 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 1\/60*f**5 + 0*f + 2\/3*f**3 + 58*f**2 + 1\/3*f**4. Calculate a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36834494683 - -0.4\nAnswer: -36834494682.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -2\/11, -408.9, -35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1175401 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4286 + 4289. Which is the third smallest value? (a) 8 (b) f (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*w**3 + w**2 + 20*w - 2.\nAnswer: -66*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 158*w - 488. Give r(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.9791 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.6. Let n = -17 + 17.4. What is the closest to g in 1\/8, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57351196.\nAnswer: 2, 7, 19, 67, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86062 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 9*v + 2. Let g be p(-9). Solve -4*d + 17 = 5*f, -2*d = -g*f + 2*d + 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**3 - 1499 + 1500 - 76*p**3 - 5*p**2 to the form v*p**2 + y*p + a*p**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (164775\/(-5) - -5)\/(-2). Suppose 0 = 5*j - 5*y + q, -5*y - 15704 = 4*j - 2479. Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 30*y**2 + 3*y + 2. Let d be z(-2). Calculate the smallest common multiple of 10 and d\/14 + (-4)\/14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -14. Suppose -3*w + x = -56, -s*w - 6*x + x + 44 = 0. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6177556291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6691*q**2 + 1307*q**2 + 1707*q**2 + 2361*q**2.\nAnswer: -1316*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-27)\/18)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 1\/5 (c) -2\/31 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54\/23940*190*52\/(-6)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -84*i**3 - 3*i**2. Let n be c(6). Let b be n\/(-84) - 4\/14. Suppose 4*u - b - 79 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34\/3 + 29\/6. What is the common denominator of 13\/18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*2)\/(275\/(-600)*8))\/((-23)\/1771)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9495 - 6075. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26. Suppose u = -2*w + 4*o + 76, 5*o = 2*o + 12. Suppose 4*q - 6*q = -w. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 25297\nAnswer: 25296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(224\/(-4))*(-12)\/1.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 56*u\/5 - 392\/5.\nAnswer: -2*(u + 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**4 - 18*n**3 - 7*n - 54. Let s(q) = 6*q**4 - 17*q**3 - 6*q - 53. Let i(u) = -7*s(u) + 6*y(u). Differentiate i(f) wrt f.\nAnswer: -24*f**3 + 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000135739398 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 17bdac2?\nAnswer: -17bdac7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlnd. What is prob of picking 2 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -226*s**2 - 110*s + 217. What is c(2)?\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let k = -243 - -235. Let c be -2 + ((-10)\/k)\/((-14)\/(-56)). Solve -n = 2*x + c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:14 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -70*i - 169. What is q(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 1017 - 897. Let f = 347 - v. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -4142a84?\nAnswer: -4142a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of -2*(-1)\/10 + -156956*9\/(-180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29365 by 5.\nAnswer: 5873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 815, 1252, 1705, 2168, 2635?\nAnswer: 3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110330*a**3 + 81298*a wrt a.\nAnswer: -661980*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 - 2*r**2 - r. Let l(y) = y**2 - 12*y - 44. Let k be l(15). Let b be k\/(-2)*-4*(-1)\/2. What is i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (217*h**2 - 3 - 488*h**2 + 226*h**2)*(16 - 5 + 0) to j*h + p*h**2 + i and give p.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 13*k**2 - 2*k + 15. List the prime factors of n(-17).\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 - 132. Let l = 56.1 - x. Round l to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -153*u**4\/2 - 195*u**2\/2 + 2*u - 466. Differentiate t(x) wrt x.\nAnswer: -1836*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 200*v = -179. Let l = 3 - 2. Let s = 4 - l. Solve 4*z = -v - s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 405*o + 1417 - 5062 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 6:53 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 21. Let s = 52 + q. Calculate the remainder when 27 is divided by 8 - (7 + -1)\/s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5785.5 - 5785. Which is the closest to 2\/5? (a) y (b) 9 (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 45\/(-8) - (1 + 2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.39 - -13.39. What is the closest to 1\/3 in a, -30, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 504 = 3*a, -6*y + 2*y - 12 = 0. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -33330*p**2 - 605*p - 121. Let x(z) = 1111*z**2 + 20*z + 4. Determine 4*w(d) + 121*x(d).\nAnswer: 1111*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 - 290. Let a = 112 + f. What is the fourth smallest value in 2\/13, -0.3, 1\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6453 by 2.\nAnswer: -6453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**2\/2 + 5*v + 1. What is x(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 8. Suppose -15 = n*b - 2*f - 0*f, -4*f - 12 = 4*b. Let l be (b\/4)\/(54\/(-9)). Is l >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*7*21\/(-294)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*(-6750)\/1250?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*g = 306 + 99, -2*l = -g - 270. Let v be (-30)\/l - (-29)\/9. Suppose -2*k + 3*a = -68, 0*k + v*k - 2*a - 107 = 0. Is -1 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/4)*s)*s**(-6))\/(s**10\/((s*((s*s**3*s)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 4*r**3\/3 + 40*r**2 + 300*r - 1696. Determine h, given that m(h) = 0.\nAnswer: -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 + 6053463*r**2 - 76342544909424*r\/5 + 76342514642112\/5.\nAnswer: -3*(r - 5044552)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 31. Let y = d + 45\/4. Let v be (-2)\/9 + 20\/(-315). Put v, 5, y in descending order.\nAnswer: 5, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 e when four letters picked without replacement from {e: 5, d: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1237 (base 13) to base 5.\nAnswer: 40311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-63))\/(17\/(918\/(-252))))\/((-114)\/(-665)).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r - 1. Let p(q) = 25*q + 5. Suppose -3*f - 21 = -3*j, 5*j - 461*f - 17 = -462*f. Give j*p(g) + 18*m(g).\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433303 (base 5) to base 15.\nAnswer: 45d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 < 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/30 and -14\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/84575 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1734510 and 2601765?\nAnswer: 5203530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 11 = -44*g + 169 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 - 848 = 26*y. Let o(v) = v**2 + 5*v - 62. Determine o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84944 and 84944.\nAnswer: 84944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 2342 + 1*-4 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2\/2 - 2*u - 20. Let v be a(6). Calculate the remainder when 84 is divided by (-99)\/(-12)*(v\/(-3))\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**(-4\/3))\/s)\/s*s)\/s*s)\/s)\/s**(-5)*s**(3\/5)*s**2 assuming s is positive.\nAnswer: s**(79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9181, 10509, 12723, 15823?\n\"Answer: 443*h**2 - h + 8739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.015 * 3\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -16.5. What is the closest to -1 in r, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14649\/28 + 12\/21. Let h = -519 + b. Which is greater: 5 or h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1828212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 3*f = 245. Let d = f - -107\/3. Factor 2\/3*p**2 - 2\/3*p**3 + 2\/3*p - d.\nAnswer: -2*(p - 1)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 0.1, -5, 0.2, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/2 + 2*c**3\/3 - c**2\/2 + 271*c. Let x(b) = 11*b**2 + 7*b - 1. Give 5*w(s) - 3*x(s).\nAnswer: -3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppqqhqkkffppzfk. Give prob of sequence qpzk.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {s: 1, u: 1, h: 13}?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i - 1. Let g be c(1). Suppose z + 5*v + g = 0, v = -0*v - 4. Suppose -68 = -7*p + 3*p + z*b, 2*p = -b + 46. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-8\/9)*(t\/t**(-1\/4))**(-14))\/((t*t**0*t)**(-12\/7))**(-17) assuming t is positive.\nAnswer: t**(-28759\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**7\/42 + a**5\/20 + 193*a**4\/3 - 5893*a**3\/6 + 613*a. Find the second derivative of t(z) wrt z.\nAnswer: 20*z**3 + 6*z + 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 37)*(2 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j. Let u be 42\/2 + (j - 3). Suppose -4*t + 5*t - 4*a = 26, -3*a = 4*t - 9. Calculate the highest common divisor of t and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m*m**(-1\/9)*m))\/(m*m**(1\/9)*m))\/(m*m\/(m*m**(1\/4))*m)**(-41) assuming m is positive.\nAnswer: m**(267\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1970\/75)\/2 + 2\/(-15). Which is the third biggest value? (a) 0 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131811, 131818, 131831, 131850, 131875?\n\"Answer: 3*z**2 - 2*z + 131810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250311101 (base 6) in base 12?\nAnswer: 1728491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 540, -11, 1 in ascending order.\nAnswer: -11, 1, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/31)*j)*j**(-2)*j)**(22\/7)\/(j\/(j*((j\/j**(-3\/8))\/j*j)\/j)*j**1*(j**(-1\/2))**(-2\/27)) assuming j is positive.\nAnswer: j**(-168839\/46872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 5) to base 13.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 3*a**4 - 3*a - 4*a**4 + 37*a**2 + 4 + 5*a**4 - 34*a**2 - 1 as p*a**4 + s*a**3 + r + u*a**2 + x*a and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 216 = 43*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**3 - 14*o**2 + 6*o - 99. Let m(i) = 24*i**3 - 30*i**2 + 13*i - 198. Give -6*m(r) + 13*p(r).\nAnswer: -r**3 - 2*r**2 - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2 - 30. Calculate the highest common divisor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -89, 0.4, -0.01?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) + -4 + -2*sqrt(80).\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 86?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2 + 327. Let q(y) = 6*y**2 - 218. Give -5*a(d) - 8*q(d).\nAnswer: 2*d**2 + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100 times -192\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72310.\nAnswer: 2, 5, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-15*(-264)\/(-864)). Which is bigger: 1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 1\/4, -4.\nAnswer: -4, 2\/27, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*c - 1394*c - 131384 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -1. Let y be (1\/3)\/(v\/(-216)). Suppose -40 = -y*n + 4*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from yvvyvyvvvvvyvv.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4 + (sqrt(1331) - 2*sqrt(1331)*-2))*-4)**2*-4.\nAnswer: -2129664 + 7040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44938.932 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173047 to the power of 1\/2, to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 7*c + 1832. Let z = -6184\/27 - c. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5953899 to the nearest integer?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187943819 smaller than 187943818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 9. Let l(u) = 2*u + 15. Let g(t) = -t - 7. Let k(a) = j*g(a) + 4*l(a). Determine k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (4 - 7) + (-4 - (10 - 8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 11*c - 4. Let p be g(-11). Is -4 + (2334 + -1 - p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1360800*l**3 - l**2 - 1360811*l**3 + 4*l**2. Let z(t) = 286*t**3 - 77*t**2. Determine 77*q(o) + 3*z(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1359 - -1364. What is the closest to -8 in y, 4, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p + 220. Let n be 2\/8 + 3001\/(-68). Let j = n + p. Which is the second smallest value? (a) j (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3049, -3026, -3001, -2974, -2945, -2914?\n\"Answer: l**2 + 20*l - 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 4. Let f(v) = -6*v - 4. Let g(w) = 5*f(w) + 4*u(w). Let m be g(-4). Solve n + m*i = 0, 5*i = 3*n + n - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2)\/(5*14\/(-35)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00294244236 rounded to six decimal places?\nAnswer: -0.002942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356 = -180*i - 11*i + 217 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 41. Let v be y*(-4)\/80*4. Which is the fourth smallest value? (a) -2\/7 (b) -0.5 (c) -24 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7485 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 4296700?\nAnswer: -4296699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4\/7 - 1041*g**3\/7 - 8121*g**2\/7 + 24009*g\/7 - 7062\/7 = 0 for g.\nAnswer: -107, -11, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 8*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 + -1?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 8\/15 (c) 11 (d) -5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 24 + -37 + 6 + -28\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 10 + 13*y**2 - 37)*(0 + 0 - y**2) + 4*y**4 + 3*y**2 - 3*y**2 + (-2*y**2 + 2*y**2 + 2*y**3)*(3*y - 5*y + 4*y) + 0*y + 2*y**4 + 0*y.\nAnswer: -3*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -856\/3*t + 205\/3 + 4\/3*t**3 + 143\/3*t**2.\nAnswer: (t - 5)*(t + 41)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15942516 is divided by 187559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + (-103 + 107 - 44).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 903 - 889. Let n(b) = 2*b - 2. Let k be n(-3). Let j = k + 24. What is the least common multiple of j and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4483891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:40 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 297 = 54 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*r**4 - 20*k*r**3 + 34*k - 2 with respect to r.\nAnswer: 4*k*r**3 - 60*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 40.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oioo when four letters picked without replacement from {u: 3, i: 2, o: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/6 - 241*m**3 - 724*m**2 - 72*m + 7. Suppose f(c) = 0. What is c?\nAnswer: -1, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5)*l*l*l**(1\/4)*l)**(-25))**(8\/5) assuming l is positive.\nAnswer: l**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g - 8*g - 7*g + 21*g + 3*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135607 = 76*h + 1136899 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*q**4 - 176*q.\nAnswer: 1584*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Suppose 2*z = k + k - 6, z = 3*k - 7. Suppose 3*t = -k*t + 25. Let x(j) = -t*j - j + 3*j. Give x(g(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4957 is divided by 216.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5060 and 18\/35365?\nAnswer: 3253580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.176 + 0.734. Round x to 1 dp.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 10) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*-2*(-756)\/(-252)*(-3)\/(-45)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 373 + 126?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4 (c) -0.02 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 28 = 236. Let y = a + 72. Suppose 0 = -2*m - 3*m + 60. Solve 3*x - b = -4*b - m, -3*b + y = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 11\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 3. Let b(f) = -4*f**3 + f**2 - 3*f - 4. Let c(p) = 11*p**3 - 2*p**2 + 9*p + 11. Let w(r) = k*c(r) + 8*b(r). Determine w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (5 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 5*q + 7. Suppose -3*z - 5*u = -2, 4*u - 8 = 5*z + u. Let v be i(z). Solve 2*o + t - v = 0, -8 = -2*t - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/3 or 1.23?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/2001000 and 153\/3220.\nAnswer: 14007000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/5135?\nAnswer: -2\/5135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -24*g + 360. What is the third derivative of 19583*q**3 + g - 6 + 6*q**2 - 19575*q**3 wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2334.00472.\nAnswer: -1167.00236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:49 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-2)\/(-4))\/((-10659)\/(-1292)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20871039949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707090.1t to milligrams.\nAnswer: 707090100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534106654 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 3, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005989906 to six dps.\nAnswer: 0.00599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + 2)*-6) + (sqrt(1700)*-3 - sqrt(1700)) + 2 + -1)**2 + -1.\nAnswer: 780*sqrt(17) + 15468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976296?\nAnswer: 2, 3, 19, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(2*r**5 + 0*r**5 - r**5)*(2 - 2 - 3).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/84 - (963\/(-63) - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 676*a**4 + 836*a**4 + 31 + 490*a**4 + 16*a wrt a.\nAnswer: 24024*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42642 and 12051?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/51230 and 3\/20.\nAnswer: 102460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32\/75 - -6\/25. Find x such that 0 + 0*x**2 + 0*x - k*x**4 - 4\/3*x**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 2 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 27544?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935 + 885 - 35*j + 12*j - 26*j - 1820.\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195050 is divided by 341.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/7 + 32216*t\/7 - 386880\/7 = 0 for t.\nAnswer: -16120, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1197*u*z**4 + 2*u*z**3 + 94568*u*z - 4*z**3 wrt z?\nAnswer: -14364*u*z**2 + 12*u*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 1823, 6689, 16185, 31805, 55043, 87393?\n\"Answer: 249*w**3 + 74*w**2 - 235*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 + (-248)\/(-10). Suppose -3*h = -3 - 6. Solve 25 = -5*z, h*x + 5*z + a = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239 or 802?\nAnswer: 802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 37. Suppose -210 - u = -4*v. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*a - 9. Let w = 47 + -40. Calculate the smallest common multiple of w and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - b. Let n = 3 + -2. Suppose -o + n = -3. Calculate the smallest common multiple of l(-1) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 + 19 = 0. Let c(r) = r**3 + 7*r**2 - r - 7. Let b be c(w). Solve -2*g = g - 5*s - 7, -4*g - s + 17 = b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -84511*w + 3. Let z(g) = g**2. What is z(c(n))?\nAnswer: 7142109121*n**2 - 507066*n + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0137 - 2.3503. Let d = t - -0.364. Let h = 0.8 + 0. Is h less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-42) - 58\/(-7). Suppose 5*n - 5*d = -10, -3*d - f = -5*d. Suppose n*z + 59 - 3 = 4*s, 4*s - 80 = -4*z. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23640292 divided by 766.\nAnswer: -30862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.039*3.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 8504*m\/5 - 1701.\nAnswer: (m - 1)*(m + 8505)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -411 (c) -824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 + 5 = 0. Which is greater: l or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*t + 32 = 2*t, x - 5*t - 8 = 0. Suppose 2*g = -7 + 119. Calculate the greatest common factor of x and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*c**4\/5 + 160*c**3 - 1826*c**2\/5 + 360*c - 648\/5 = 0.\nAnswer: 9\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 7310865.83.\nAnswer: 7310866.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 - -490. Let f be -1 - 2578\/(3 - b). What is f rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/6014021, 0.1, 0.3 in descending order.\nAnswer: 0.3, 0.1, -2\/6014021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.5, -0.4, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*c**3*p**2 + 3*c**3*p - 4*c**3 + 150*c**2*p**2 + 90*c**2*p + 2*c*p**2 + 10*c*p - 3*p**2 + 3*p wrt p.\nAnswer: -310*c**3 + 300*c**2 + 4*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 229284 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 119 + (-58 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24392295 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 0.0891?\nAnswer: 0.13365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(4 + 1 - 6)*(-473 - 4*w + 473).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2977*d. Let y(s) = -3*s. Give u(y(c)).\nAnswer: 8931*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18 = -4*a, 8379*v - 8376*v - 2*a = 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 - 215. Let f = 75 + x. Suppose 0 = -7*a - f*a. Solve a = 2*o - 0 - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/30 + 5*p**4\/12 - 7*p**3\/6 - 3*p**2. Let c be l(6). Let r = -58 + c. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -0.1 (c) 0 (d) 14 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/43, 1.246, 4, 0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:04 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 - 38.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-9))\/5*3. Put 0, -3, a in decreasing order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557557920 divided by 1340.\nAnswer: -416088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28063, -28074, -28087, -28102, -28119?\n\"Answer: -h**2 - 8*h - 28054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122100000021 - -122110?\nAnswer: -122022100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -204889?\nAnswer: -204885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2 + 1 + 105\/(-35) - -6. Solve 19 = n*z - 5*z + 5*p, -4*z - 2*p = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 934.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345 + -3799\/11. Is i < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18 and 43\/480.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*30\/105*21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 6*p**2 - 9*p + 4. Let q be x(-4). Solve -22 = 3*j + 5*a, -6*a + 2*a + q = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2003 + -1943. Suppose n + 32 = 3*n. Calculate the remainder when w is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. Let v = 119 - 119.2. Let d = -11 - -11.1. Which is the closest to v? (a) 5 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*j = 2, -13*j + 9*j = 0. Solve 4*n = 0, l + 20 = -4*l + a*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137673748 is divided by 1765048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*z - 83*z - 136*z + 121*z**6 + 915*z**2 wrt z?\nAnswer: 14520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 + 4*g**2 - 4*g - 4. Let v(t) = -28*t**3 - 35*t**2 + 35*t + 35. Let s be ((-12)\/15)\/(9\/315*7). What is s*v(j) - 35*f(j)?\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-272)\/(-93772)*7*(-3)\/6. What is the smallest value in -0.2, j, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4831? (a) 3\/19 (b) 4 (c) -0.3 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 + 183*w**3 + 54*w - 2?\nAnswer: -12*w**2 + 1098*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*f + 30, 2*t - 2*f + 3 = -3. Suppose 5*d + t*j - 55 = -2*j, -3*j = -3*d + 60. Solve 0 = 5*v - d - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2)\/k)**(-16\/7)\/(k**(1\/13)\/(k*k*k**(-14))))**(-26) assuming k is positive.\nAnswer: k**(1366\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121187.7 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(102\/24 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*70\/(-126)*18\/150\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 90?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3359*q + 7 = 3360*q, -2*q = x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1539) + -1 + (sqrt(1539) + 0 + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2 + (sqrt(171)\/(sqrt(3) + -2*sqrt(3)))\/((1*sqrt(33))\/sqrt(11)) + 3.\nAnswer: -55*sqrt(19) + 13855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111 (base 2) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 252628*i - 7977613298.\nAnswer: -2*(i + 63157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = 4*c - 4*f, -3*c + f = -12. Suppose 2*o = -c*l - 34798, 2*l = -0*o + 5*o - 17405. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929804.2 litres in millilitres?\nAnswer: 929804200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*g - 22, -50 = -5*g - 4*v - 16. Let h(k) = -k**2 + 4 - 4*k - 3*k + 2*k. Calculate the least common multiple of g and h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.25 to zero dps.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 40*g + 20010 = -59*g - 22*g for g.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-2)\/242*2). Suppose -10*s - 6319 - 5101 = 0. Let i = s + x. What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**3 + 1788*t**2 - 1788*t**2.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89\/12 - -5\/2. Let o = 1111829\/114 - 9753. What is the common denominator of o and b?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by -5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -481, 3, -6.\nAnswer: -481, -6, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - 4.18. What is the nearest to -0.1 in t, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33111123222 (base 4) to base 11.\nAnswer: -22a6277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.6.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1146349, -2292699, -3439061, -4585435, -5731821, -6878219?\nAnswer: -8024629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 526703.688 microseconds?\nAnswer: 0.0000008708725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*r - 14, 3*y + 5*r = 8 + 37. Solve w + y = 5*q, -3*q - 28 = -40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1\/13, -6, -1, -1\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000756649 rounded to 5 decimal places?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 53*v**2 + 137 + 4*v + 5*v**3 - v**3 - 60*v**2 - 114 - 3*v**3. Calculate h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 1\/4*0. Let g(z) = 8*z**3 + z - 1. Let u be g(i). Let q = 176 + u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u + 20. Let p be z(5). Let c = -21 - p. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9652*a = -9656*a - 4*o + 56, 3*a = 5*o - 62 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -355, -356, -341, -298, -215, -80, 119?\n\"Answer: 2*o**3 - 4*o**2 - 3*o - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 80*i + 86*i - 49, -n - 5*i = -4*n + 32 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-34) - (-10)\/(-15). Let g = -125\/357 + u. Put 0.5, 5, g in descending order.\nAnswer: 5, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77200 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 - 9981*d**3 + 7932003*d**2 + 47861829*d + 71927730 = 0.\nAnswer: -3, 1330, 2003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.10039 millilitres in litres?\nAnswer: 0.03010039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -27. Solve -4*j + 5*h = -10, -y*j - j + 33 = 4*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27149584?\nAnswer: 2, 7, 11, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 0, 4*d + 22 - 93 = -5*t. Let r = -16 + d. Suppose r*v = 4*v. Solve -2*k + 2*a = -2, -4*k + 2*a + 5 - 1 = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007808 to 7 dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16276 times -5?\nAnswer: 81380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Let n = -1\/436 + -865\/3052. Suppose 3*a = -x - 4*x + 2, -4 = -x. What is the nearest to n in 5, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 11*n + 123 = -3*a, n + 75 = -2608*a + 2604*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(2\/29)\/q)\/q))\/(q\/(q*q**7\/q))*(q**(-2\/21)\/q)\/q*q**(7\/5))**37)**(-1) assuming q is positive.\nAnswer: q**(-927886\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7 greater than -9814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g. Let h(x) = 43*x**2 + 197*x + 1. Calculate h(j(c)).\nAnswer: 5203*c**2 + 2167*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -6346.\nAnswer: 6345.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -3\/4, -0.25?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4303 + 4306. Solve -4*n - 23 = -3*x, -2*n + m*n - 18 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + v + 18 = 0. Solve t + 3 = -v*p - 11, 2*p = 5*t - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)*(-3)\/1. Let d(g) be the second derivative of g**3\/6 + 2*g**2 + g. What is the units digit of d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and -0.1085416.\nAnswer: 0.0514584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d - b19?\nAnswer: -b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24674 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*v + v + 27507, -3*v + 9185 = j. List the prime factors of j.\nAnswer: 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyfv when four letters picked without replacement from {f: 1, h: 2, v: 2, q: 1, g: 1, y: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 1221 at least -781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:43 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, p: 1, s: 1, q: 1}. Give prob of picking 1 q and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/30)\/((-16)\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*r**2 - 8*r**2 - 19*r**2)*(-4 + 5 + 2) - 2*r**2 - 3*r**2 + 3*r**2 + (3 - 1 - 1)*(3*r**2 - r**2 + 0*r**2) to the form n + g*r**2 + x*r and give g.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**3 - 2*q**2 - q. Let i be d(-1). Let l = -25 - i. What is the tens digit of l*(12\/9 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 6. What is c(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - 5*sqrt(76)*2)\/(sqrt(256)*-1))**2 + -1*(sqrt(2736)*1 + sqrt(2736) + -3)**2)*-4 + 4.\nAnswer: -576*sqrt(19) + 699517\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58703?\nAnswer: 47, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -248.67 rounded to 0 decimal places?\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001186083 rounded to 6 dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2091\/(-492))\/((-68)\/80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z - 35. Let l = z - -10. Suppose -244 = -l*q - 36. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 647?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*l**4 - 8322*l**3 - 16*l**2 + 17*l - 67.\nAnswer: 4680*l - 49932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - d + 3. Give t(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 5*g, -4*g + 22 = g + 3*s. Suppose -n = -g*n + 2. Sort 1, n, -4 in increasing order.\nAnswer: -4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -29. Suppose j - 2 = 3*n, n - 1 = -3*j - 5. Let g = -1.5 + 1. Which is the smallest value? (a) d (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000245 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8358 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(320) + -2)*6.\nAnswer: -96*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -24*m. Let u(y) = -11637*y. Give a(u(j)).\nAnswer: 279288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**6\/30 - 11*h**4\/12 - 14*h - 11. Let j(z) be the first derivative of n(z). Find the third derivative of j(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*f + f - 906, -2*w + 3*f + 1807 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.08 and 2106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(234)\/((2*sqrt(6) - sqrt(6))*-4))\/(2*-2*sqrt(192))*-1 + -5.\nAnswer: -9 - sqrt(13)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 24*j**3 - 7*j**2 + 6*j - 23*j**3 + 71*j**3 - 4 - 25*j**3. Determine w(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/26, 11, 2.36, 0.2, 0.1, -0.4 in increasing order.\nAnswer: -0.4, 0.1, 3\/26, 0.2, 2.36, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/13 - 2908*h\/13 - 1057058\/13 = 0.\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.03\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -26*w**3 + 194*w**2 - 131*w + 331. Give n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -638666*t**3*u**2 - 4*t**2*u**2 + 4*t**2 - 11*t - u**2 wrt t?\nAnswer: -3831996*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3*b + 0 + 0*b**3 - 1\/12*b**4 - 5\/2*b**2. Find the first derivative of k(o) wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - k + 36. Give u(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -9. Let t = o + 333. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13775 or 55101\/4?\nAnswer: 13775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -2*w - 3*f, -2*f = 2*w - 385 - 197. Suppose 134 + w = 5*s. Which is the third biggest value? (a) 4 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 0, -0.157, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 1. Find the third derivative of -5*c**6 + c**2 + 2*c**2 + 3*c**p wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 119 = -5*x + 77, n = -5*x + 187. Let b(c) = -c**2 + 6*c - 2. Let h be b(5). Is 13 a factor of (h\/(-6) - -1)*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*l = 63 - 8, 3*w + 3*l + 69 = 0. Is 88\/w + 5 - (-63148)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 373\/12 - 31. Let a(x) be the third derivative of -x**2 + 0*x + 0*x**4 - i*x**5 - 1\/2*x**3 + 0. Differentiate a(m) with respect to m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 0, -l + 0*l + 3*k = -12. Suppose b - 2*j - 6 = -0*j, l = -2*j - 4. Calculate the lowest common multiple of b and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Suppose l*a = -a + 250. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 + c - 2. Let h(y) = 16*y**2 - 4*y + 6. Determine 3*h(k) + 10*i(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219830667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from nrnme.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 855 - 850. What is the fourth biggest value in -4, n, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 25 = 5*u, x + 94 - 83 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68541872, 68541866, 68541856, 68541842, 68541824, 68541802, 68541776?\n\"Answer: -2*m**2 + 68541874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/771690 and -89\/31692510?\nAnswer: 919082790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -934 divided by -467?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -1\/24*w**4 + 4*w - 1\/4*w**2 + 0 - 1\/6*w**3. Factor r(o).\nAnswer: -(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71747 is divided by 62?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnuumnuxunuuuxnuuuu. Give prob of picking 1 m and 2 n.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/10, -0.3, 2\/3, -115?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/4 - 11*u. Factor p(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -700, -1926, -3656?\nAnswer: -5890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -24. Let i(h) = -h**2 - 4*h + 11. Let k be i(c). Let n(d) = -d**2 + d. Let f be n(0). Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by 2930693.\nAnswer: -354\/2930693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4 - 60*z**3 - 318*z**2 - 612*z - 351 = 0.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7370, 14742, 22114, 29486, 36858?\nAnswer: 44230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i + 14. Let g be q(-3). Let f(r) be the first derivative of -3*r**2 + 3*r + 2 - 1\/3*r**3. Determine f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010001001011110 (base 2) in base 15?\nAnswer: -40cdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*m**2*y**3 - 4*m**2 - 1201*m*y**3 - 24*m*y**2 - y**3 - 58*y - 2 wrt y.\nAnswer: 84*m**2 - 7206*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y. Let s = 0 - -2. Let b be 2\/(-2 + 3\/s). Let i(h) = -6*h - 1. Let l(r) = b*d(r) + 3*i(r). Give l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5 = -3*p, -22671*p - 15 = -22672*p + 3*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/4*429052\/(-57757).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.09, -8\/45?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -87*g + 89*g + 3*u, -2*u - 6 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -548846*l**4 + 1277396*l wrt l?\nAnswer: -6586152*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p + 1343817 + 239553 = 0. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.0904 + 1238.8996. Round z to the nearest ten.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 463271 and 1981.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122\/9? (a) -4 (b) 10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4470*l**3*y**2 - 2*l**3 + l**2 - l*y**2 + 969*l with respect to y.\nAnswer: -8940*l**3*y - 2*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 4421 + 16740 = -472*v - 22331 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -1318920\nAnswer: 1\/219820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -6. Suppose -5*u = -5*v + 15, 5*u - y = -5*v - 0*u. Suppose 92 = -0*f + v*f. What is the greatest common divisor of f and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -66.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 443503*t**6 + 638778*t**2 wrt t.\nAnswer: 53220360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179, 2378, 3589, 4818, 6071, 7354, 8673?\nAnswer: 10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224 less than -8\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 26 = 0. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*n + 3 - 11, -20 = -5*b - 2*n. Let i be (-16)\/56 - b\/(-14). Solve -4*o - z + 1 = 21, -2*z = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 144, 216?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1800.477 to zero dps.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/5, -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**3*h**(-1\/11))\/(h\/(h\/((h*h*h**(5\/2)*h)\/h)))**(-1\/18) assuming h is positive.\nAnswer: h**(227\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73209?\nAnswer: 3, 23, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 660 + -658. Solve 0*p + 2*p - z = -4*i, 0 = 2*p + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 4?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-12 + (-9 - -5)). What is the greatest common factor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*d + 18, m = 1 - 4. Let z be (-1)\/(0 + d\/12). Let c be -2 + z - (-12)\/(-6). Put c, -4, 5 in decreasing order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105541 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570420537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-35)\/20)\/(9\/((-54)\/3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 + 1558*a - 1556*a + 111 - 8*a**3 - 20*a**2 as v + y*a**2 + l*a**3 + z*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -11*d + 100. What is the third smallest value in d, -3\/5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1153 divide 27681224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*n + 1\/2*n**2.\nAnswer: n*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -247\/18 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/10 in 0.5, -22\/3, 35\/3082?\nAnswer: 35\/3082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -4 + (sqrt(10)\/(2*sqrt(5)) - (sqrt(2) + 3*(1 + sqrt(2))**2)) + 5 + -2)*3.\nAnswer: -39*sqrt(2)\/2 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.076 + -34.924. Let a = t + 7. Let z = 26 + a. What is the second biggest value in 1\/4, 1\/3, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -958.\nAnswer: 7\/958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 11*u - 7*u + 433 = 293 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**4 - s**2 + 10*s**2 - 3*s**3 + 3*s**3 wrt s?\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 619 - 614. Let h(g) = -2*g**3 + 7*g**2 + 21*g - 8. Let j be h(u). What is the greatest common divisor of 1034 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*r = 138*i - 127*i - 2*r + 251, 2*i - 8*r = -82 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.63 >= 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040814 rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -7*s + 11*s + 4. Suppose 5*q + 5*l = 10, q - 2*q = 4*l - 2. Let m be -2*3\/((-6)\/5). Sort m, q, s in increasing order.\nAnswer: s, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 35*y + 3. Determine x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-132)\/(-144) - 1). Suppose d + 0*d - 4 = 0. Let q = -5 + d. Which is the closest to q? (a) w (b) 3\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 10459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6 = -4*m. Suppose -z + 5*d = -1, -6 = m*z - z + 2*d. Is (z - -5)*(-4 - -52) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30118 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 7*y**3 + 34*y**3.\nAnswer: 42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 56. Give r(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72579324 and 1581.\nAnswer: 2249959044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {l: 3, m: 3, j: 2, f: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173 + -3?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 1738*z**3 - 5412*z**2 + 329882*z - 1450253.\nAnswer: (z - 1741)*(z - 7)**2*(z + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2647, -2646, -2645?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5.24, 3, -6\/11, 4\/9, -4\/7?\nAnswer: -5.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -5, 1\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1393, 2783, 4173?\n\"Answer: 1390*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w - 8*n + 3*n, 4*w - 3*n = 7. Suppose -6*m = a - m - 20, -3*m = -a + 12. Calculate the remainder when a is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(560) + sqrt(2835)*-6 + sqrt(35))\/((sqrt(252) - (sqrt(252) + (sqrt(252) - (sqrt(252) - -1*(sqrt(252) + -4*sqrt(252))))))*-2))**2.\nAnswer: 29645\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-27) + (-306)\/(-81). What is the third derivative of -7*m**3 + 28*m**3 + 10*m**2 + 2*m - 3*m**c - 18*m**3 - 6*m**3 wrt m?\nAnswer: -72*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-217)\/62)\/((-2)\/((-8)\/2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261814 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 900*w**4 + 31106*w**3 + 13103*w**2 - 356*w + 2?\nAnswer: -120*w**2 - 21600*w + 186636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u**2 + 267*u - 38 = 0. What is u?\nAnswer: 1\/7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, 6329\/3.\nAnswer: -21, 1, 6329\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253706*4.\nAnswer: -1014824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*l + 20, g + l = 63275 - 63289 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {a: 2, n: 3, v: 9, e: 2, y: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*s + 4*v - v, -5*s - 2*v + 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 + 22*i - 1077*i**2 + 1077*i**2 + i**3 + 2*i**3 - 5*i**3 + (-1 + 3 - 3)*(-i**3 + 2 - 2).\nAnswer: i**3 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -880\/9 - -98. Find m such that 2\/9*m**2 + 0 - q*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 14*m + 18. Suppose 2*f = -3*h + 5*f + 18, 2*f = 0. Calculate the smallest common multiple of p(-13) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -3 (c) -10\/307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 51*d**3 + 135*d**2 + 129*d + 42.\nAnswer: 3*(d + 1)**3*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:46 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose -3*w = -f*w. Suppose w = 2*c - x - 1413, 4*c - 7*x = -3*x + 2824. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49d26 - -4?\nAnswer: 49d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*d - 5*u, 0 = -3*d - d - 4*u + 4. Does 25 divide (6\/d - -100) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00604338115 rounded to 6 dps?\nAnswer: -0.006043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229.799564ns in weeks?\nAnswer: 0.00000000000203339875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.34. Let b = -9.84 + l. Let h = 2534 + -2534.1. Do h and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.2 (c) 69 (d) -2\/5 (e) -5\/21 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 99. Sort 3, d, -1, -3 in decreasing order.\nAnswer: 3, -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11575 and -66.3002637?\nAnswer: 11641.3002637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15034 + 4055 = 9*y. Suppose -y = 10*t - 17*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 158, 247, 342?\n\"Answer: 3*k**2 + 74*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(570))\/(sqrt(10) - sqrt(30)\/sqrt(27)))\/(4*-5*sqrt(384)\/sqrt(8)).\nAnswer: -3*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2969 + -2909. What is the remainder when 4737 is divided by o?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1505.57 and -4.1.\nAnswer: 1501.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28323 is divided by 2360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 14. Let p(m) = -m**2 + 7*m - 10. Let a be p(5). Is 7 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -491 + 491.0000283. What is y rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmymmymyymy. What is prob of sequence mmmy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 4*k - 23. Let p be c(-9). Let u = p + -237. Suppose 6*s - u = 3*s - 4*b, 3*s = 5*b + 253. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b**2 + 7*b - 14. Let m(a) = 11*a**2 + 5*a - 14. Let f(x) = -6*m(x) + 4*v(x). What is f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ssssssdisdsis.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.903876 kilometers to meters.\nAnswer: 4903.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4940 and 9620?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 93.7559 weeks?\nAnswer: 656.2913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/11 - 448*y**3\/11 - 4766*y**2\/11 - 17136*y\/11 - 20448\/11 = 0. Calculate y.\nAnswer: -213, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -247.01. Let w = 0.01 - v. Which is the third biggest value? (a) -4 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let d(i) = -14*i**2 - 2. What is d(k(g))?\nAnswer: -56*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and -55\/16014954.\nAnswer: 80074770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d. Suppose t = -0*t + 4*g + 17, d = -t + g + 8. Let k be 4\/t + (-4)\/(-20). Which is the smallest value? (a) -0.4 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k + 73. Suppose 0 = -5*c - 13 - 22. Let h be t(c). Solve 0 = 5*o + 3*i - 8, 4*i = -2*o - h - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 30.68. Let n = -0.28 + o. Let h = 272 + -272.1. What is the closest to -1 in h, -11, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*((((sqrt(42)\/sqrt(3))\/sqrt(7))**2 - sqrt(2)) + 1*sqrt(32)) + (3 + sqrt(2) + -2 - (sqrt(288)*-1)**2).\nAnswer: -291 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1984, -4200, -6416, -8632, -10848?\n\"Answer: -2216*a + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0452208825801 + -3.8.\nAnswer: -3.8452208825801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8 times 1.9?\nAnswer: -28.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -39, -45, -43, -33, -15, 11?\n\"Answer: 4*u**2 - 26*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.08505 litres to millilitres.\nAnswer: 63085.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-650)\/(-6630)*-85?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.3 - 56. Round f to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 324 (b) -2 (c) 0.052 (d) 3.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 73\/3*u**3 + u**4 - 44*u**2 + 52\/3*u = 0. Calculate u.\nAnswer: -2, 0, 1\/3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 8, y: 1, n: 1, r: 1}. What is prob of picking 1 r, 1 h, and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 10 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -31. Let r = -120 + 150. Let z(x) = x**2 - 34*x + 122. Let m be z(r). Solve -3*n = 2*i - 2, m = 3*n + o*i - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {b: 1, h: 2, i: 1, n: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 223010550 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15775 and -0.4.\nAnswer: 6310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 156 = -2*x, 2*a - 7*a + 162 = 4*x. Let l = -963 + 938. Let y = a + l. Solve 3*d = w + 22 - 2, -50 = -5*d + y*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78149026337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-90429.\nAnswer: 6330.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 24. Let y = -4 + z. Suppose -2*x - j + 84 = j, 4*j + 144 = y*x. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a + 3*a + (-1 + 1 + 2*a)*(0 + 0 - 2) + 65 - 50*a - 65)*(9*a + 14*a - 13*a).\nAnswer: -520*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (845698526\/36)\/((-86)\/4). Let k = 1092633 + o. Let b = k + -1\/43. Calculate the common denominator of 12\/11 and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2175598 is divided by 241704.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 502\/6 - (-17100)\/(-228)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -1726, -2 in increasing order.\nAnswer: -1726, -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.78, -0.5, -35.87?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v - 583*v**2.\nAnswer: -583*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -72 + 1 + -2 + 1. Sort 2\/3, -0.4, g in decreasing order.\nAnswer: 2\/3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 9) to base 8.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*i + 20, -19 + 51 = 4*i - 4*p. Solve -y = -g + 4 - 3, 3*g - i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 5, e: 1, m: 8}. Give prob of picking 2 h and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*8\/(-768))\/((-4)\/24)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 3 = -17*k. What is the third derivative of -7*u**3 - 18*u**2 + u**2 - 9*u**k - 4*u**3 wrt u?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*r - 24 = 0, 2*v + 4*r = 1 - 9. Solve 18*f - 4 = 15*f - 4*l, v*f - l + 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4140438 divided by -2070219.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.019, -1794?\nAnswer: -1794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 8. Let f be n(-5). Suppose -4*o + 560 = 24*o. Suppose i + 5*g + o = 0, 0 = f*i - g - 2 - 2. Solve i*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326497 is divided by 615.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 933109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/7 + 4240*b**2\/7 - 4494400*b\/7 = 0. What is b?\nAnswer: 0, 2120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**20\/d*d))\/d*d*d**(-1\/67)\/d assuming d is positive.\nAnswer: d**(-1341\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*m + 1 = 0, -31*k + 35*k + 2*m - 97 = -79 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1311899*f**2 + 0 - 1311898*f**2 + 0.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15875b - 0?\nAnswer: 15875b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((3 + -5 - 2) + (33 - 30))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -137. Let l be 2\/8 - (-2327)\/4. Suppose -3*s = 3*v - 114 - l, 5*v = -4*s + 1155. What is the remainder when v is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011001011110101 + 101?\nAnswer: -100011001011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71161009 to the power of 1\/2, to the nearest integer?\nAnswer: 8436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26076 and 424.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1362 + 1362.4. Which is the closest to 1\/4? (a) 0.2 (b) 0.019 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-30) + 7\/21. Suppose 5*v + 4*x = -1 - 1, -6 = -3*x. What is the nearest to 0.1 in v, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1058445 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 106024?\nAnswer: -106029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - (-1)\/(-30)*-22. Let z be (-6)\/(-4)*(-10)\/(-6). Which is the nearest to 0? (a) z (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d - 6. Let f(p) = -60*p + 25. Let h(y) = 2*f(y) + 9*z(y). What is the remainder when h(2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4008 or -3949?\nAnswer: -3949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 47. Let y(f) = -9*f - u*f - 8 + f. Let v(d) = d**2 - 9*d + 9. Let z be v(6). Let q(t) = 3*t + 2. Calculate z*q(x) - 2*y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3906.402 + -53.302. Let v = f - 4041. Let b = 176 + v. Round b to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 9*k - 3*k - 33*k**3.\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0363 + -0.04. Let k = c - -0.00339. What is k rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -110. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 16*b - 105*g - 230, -3*g + 23 + 0 + 2 = -2*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*6\/2*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 122 - 6. Let c = -26 - u. Calculate the greatest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9036 and 2754?\nAnswer: 1382508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 67 = -17. Suppose -1629 = -3*k - 3*b, 0*k + w*b + 2745 = 5*k. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 8011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -0.83.\nAnswer: 9.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*l - 1\/2*l**2 + 0 + 1\/10*l**3.\nAnswer: l*(l - 4)*(l - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2)\/(-7)*(5 + 2). Factor 5*t**h + 2*t - 6*t + 0*t**3 - 16*t.\nAnswer: 5*t*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -0.3 (c) -195131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 789818176 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 6*i + 4. Let u(h) = -9*h**2 - h - 20. Let j(w) = -11*w**2 - w - 25. Let a(l) = -4*j(l) + 5*u(l). What is -2*a(z) + n(z)?\nAnswer: z**2 + 8*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - ((-1 - 10) + 26))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 59505 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -29. Sort w, -0.3, -0.1 in descending order.\nAnswer: w, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.08. Let y = 0.15 + s. Is y greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/42 + 5)*17 - 23*(-10)\/805.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + t)*(-5 - 7 + 1 + (2 + 2 - 3)*(0 + 0 - 1) + 4 - 1 - 1 + 2 + 1 - 1)*(7 - 11 - 5).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 347060 divided by 518\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-8 - (-14 + 2)) - 26?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 6. Let w(v) = 5*v + 21. Let b(m) = 7*j(m) + 2*w(m). Let i(p) = -49*p**2 - 3*p. Calculate b(i(u)).\nAnswer: -147*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00981236761 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 - 2*d + 6. Let v be k(5). Let o = v - -753. Suppose -5*i = 2*w - 232, -5*w + i = 4*i - o. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**3 - 11. Let h = 5 - 10. Let w = 0 - -1. Let u(i) = i**2. Give h*u(b) + w*y(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-17 - (-8 - 5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/20 - 5*y**4\/24 - 4*y**3\/3 + y**2 - 36. Let j be w(3). Solve 10*r = j*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/19)*y)\/y)\/(y\/(y*y**(-3\/4))) assuming y is positive.\nAnswer: y**(-49\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.48837 milligrams in nanograms?\nAnswer: 5488370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564308056 is divided by 153?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 509380*j\/3 + 56598.\nAnswer: -2*(j + 84897)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039351483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 3*j - u - 31, 0 = 5*j + 2*u + 32 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = o - 1, 10 = 4*o + 2*m. Let g(q) = 10 + o - 3 - 7*q. Let u(l) = l - 1. Suppose 6*p - 31 + 67 = 0. Give p*u(t) - g(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2203 - -35291\/16. Let s = 5236 + -62749\/12. Find the common denominator of c and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -222.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -221613, -0.2?\nAnswer: -221613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 8 - 3 + 0*t**2 - t**2. Let c be y(-6). Suppose 0 = -4*j + 2*h + 24, c*h + 0*h + 20 = 5*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1121 - 31385\/28. Which is the biggest value? (a) 3 (b) p (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299954*i**3 - 599901*i**3 + 299940*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2987 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 1 + 0 + (-1 - 1 - 1)*(-7 + 2 - 1) - 8 - 3 + 1)*(y**3 + 8*y**3 - y**3) to n + f*y**2 + q*y + m*y**3 and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -134969.1 times -6?\nAnswer: 809814.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -12. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 4 (c) 80\/277 (d) 0.3 (e) -71 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + t + 0*t. Let z(f) = 0*f + f - 4*f. What is u(z(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 8*h**3 + 4*h**3 - 16*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*4*(-6)\/(-64)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46738 + (-19)\/((-228)\/(-36))*3. What is the greatest common divisor of f and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1036 and -23\/356.\nAnswer: 92204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 476017, 953013, 1430009, 1907005, 2384001?\n\"Answer: 476996*r - 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 95151.2.\nAnswer: 380604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:04 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 - 43 + 26 + 2*q**2 - 28 - 4*q**3 in the form r*q**2 + j*q**3 + s + a*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 5.94. Let p = x + 6. Let k = 6 + -3. Is k not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205386019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*z. Suppose 0 = -z*q + 5*a, 4*q + 5*a + 9 = 36. Differentiate -w**2 - 6 + q + 2*w**2 with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:55 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(280)\/sqrt(90) - sqrt(28)) + sqrt(252) + 3)**2 - (3 + (4 + sqrt(14)\/sqrt(2) - (sqrt(7) + -1)**2*6))).\nAnswer: 15*sqrt(7) + 1777\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272111921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*12\/(-144)*-18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35170969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + w**2 + 4*w - 5*w. Calculate the least common multiple of r(-1) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -434 - -731. Suppose 0 = o + 5*d - s, -2*o + 3*d - 6*d + 594 = 0. What is the remainder when o is divided by 174\/(-3)*-1 + 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 199134?\nAnswer: 19913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w**2 + 13*w + 5*w**2 + w**2. Let f(g) = 2*g**2 - 7*g. Calculate 11*f(v) + 6*u(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 51) + (18 - (-2 - (-7 + 7)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-8*1 - -3). Solve 0 = 5*k - y*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -14.4. Let d = 16.4 - n. Let r = d - 10. Which is the closest to -2\/7? (a) 0.2 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792)*3)\/((sqrt(400) - sqrt(400)*2) + sqrt(4)))**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(-43) assuming i is positive.\nAnswer: i**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j - 53 = -3*t, -2*t - 3*j = -24. What is the highest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4352799 and 2769963?\nAnswer: 30469593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1466 (base 7) to base 13.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.003.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.133343423 to 3 dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -4)*(-4)\/(-2). Let s(v) = -v + 1. Let z be s(g). Solve r + 3 - 9*r - 8*r**z - 5 - 8*r**2 - 4*r**2 - 2*r**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*o + 11*o + 52*o)*(219*o - o**2 - 1 - 219*o) to the form q*o**2 + r*o + t + s*o**3 and give s.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d*d)**(-23)*d\/d**(-1\/5)*d**(2\/21)*d assuming d is positive.\nAnswer: d**(-2174\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 13*z**7\/42 - z**4\/6 - 3*z. Find the third derivative of h(f) wrt f.\nAnswer: 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.66 - 46.66. Let f = 46.000053 + g. Round f to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -62, 5 in increasing order.\nAnswer: -62, -20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11*h - 128 = -16*h, h - 144 = -4*p. Solve -p*k + 55*k + 72 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4*l - 2*d**4 - d**2*l - 2*l - 10 with respect to d.\nAnswer: 8*d**3*l - 8*d**3 - 2*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1155 + 1150. Sort -1, w, -1.2 in decreasing order.\nAnswer: -1, -1.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y - 339*y = 6725 + 19483 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.151, -1, 2?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 68*h**3\/3 - 41. Let l(b) = 14 + 2*b - 51 + 37. What is l(k(p))?\nAnswer: 136*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4034135 (base 7) to base 3\nAnswer: -220100101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -66, -76, -66, -30, 38, 144, 294?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*u + 5*x - 4, 15 = 5*x. Let k = -4325 - -8174. Suppose 0 = -u*j + k - 565. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -37.42, 3 in descending order.\nAnswer: 3, -4, -37.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-81)\/2 + 5)\/((-6)\/88). Let d = -520 + f. Solve d*v**2 + 32\/3 - 16\/3*v = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - g - 245 = 2*g, 0 = -2*z - 2*g + 98. Let r = z - 28. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u + 1. Let g be c(-7). Suppose 2*k + 0*k = -2*b, 4*b + g = -k. Let n be 4\/6*(12 + -3). Solve 0 = 5*h - k, -l + 5*h + 10 = -n*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15150*w**4 - 30297*w**4 + 116 + 5*w**3 + 15149*w**4 + 2*w**2 as k*w**2 + n*w + g*w**3 + p + y*w**4 and give p.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 2\/9 (c) -6 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4574?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + (-11)\/(-3))*3. Suppose t - 2 = -b, -g*t = b + 3*b - 4. Is b at most as big as -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k - 3. Let z be (3\/12 - 1)\/k. Let c = 0.2 - -0.3. Put c, z, -1 in ascending order.\nAnswer: -1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0)\/(2\/3). Let f = m + 4. Let z = 117\/4 - 30. Which is the second smallest value? (a) z (b) -3\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1079703072 divided by -61648\nAnswer: -17514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(104)*3)\/((sqrt(80)\/sqrt(2))\/sqrt(5) + sqrt(8) + ((sqrt(88) - (sqrt(88) + 2*sqrt(88)))\/sqrt(11) - sqrt(8))) + -3)**2 + -5.\nAnswer: -90*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -k - 2999998, 3210348 = -5*p - 2*k - 539648. Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 - 6*a - 5. Let q be (23 + 2)\/(-5)*(-1 + 0). Is 10 a factor of k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3 + (-1188)\/(-99). Solve -z + 8 = 4*x, 4*z + p = 5*x + 25 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467799911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1606 + 10193*j - 5088*j - 1157 - 5103*j - 389.\nAnswer: 2*j - 3152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/37 (b) -4 (c) -5.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 12. Let l(b) = -g*b**2 - 2 + 2. Let s(n) = 14699*n - 1 + 1 - 14697*n. Calculate l(s(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 32 = 5*n, -x + 0*x - 5 = 2*n. Suppose 3*p + 2*p = -2*k - 18, 2*k = p + 6. Is p greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = 4. Suppose -2*r + 4*x - 11 - 1 = 0, -2*r - 4 = -2*x. Solve 14 - b = -r*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.77 + -0.23. Let r = 3.4 + 0.6. Which is the second smallest value? (a) r (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/5))**(-23)\/(n**(-1\/6)\/(n**(-2\/31)*n*n)) assuming n is positive.\nAnswer: n**(-10879\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 5 - 14) + 4 + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*-2*(-183)\/122?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659*w + 9644 = -604*w - 2566. Solve -w = -31*m + 68*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 4\/3*h**3 + 6*h + 0*h**2 + 14. Let n(z) be the first derivative of j(z). Let b(w) = -2*w**2. Calculate b(n(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 4, 11*g - 8*g = 3*d + 24 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + -0.4. Let p = -3 + 1. Which is the closest to 0.2? (a) p (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4704, -9444, -14192, -18948, -23712, -28484, -33264?\n\"Answer: -4*m**2 - 4728*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -23, 3 in ascending order.\nAnswer: -23, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3917555868 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lygm when four letters picked without replacement from lygmm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -264800750.3 to the nearest one million.\nAnswer: -265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 10 = -5*d, 2*d = 6*d + 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*p - 176*p + 8 - 273*p + 130*p - 468*p as y*p + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 + 21645*s\/2 - 156168675\/2.\nAnswer: -3*(s - 14430)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/6*(-30)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3242 - 3238. Solve 45 = t*q + 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2260 or 18?\nAnswer: 2260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = x - 559, -3*u + 1350 - 539 = -4*x. What is the remainder when u is divided by 76?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.01 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2124240 and 5845.\nAnswer: 14869680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - i = -14, -5*i - 3 = -2*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 778 - 2837 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 + 2560*t = 0. What is t?\nAnswer: -1280, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3, -g + 3*w = -4 - 4. Suppose 1 = -c + 4. Let r = -2361 - -2369. Solve -g*m + c*m - r = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -22644, -0.1, -55?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 223 = -1060. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34987*m**3 + 17492*m**3 + 17492*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198965153*i**3 - 6*i**2 + 24*i + 6992?\nAnswer: 1193790918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = q. Suppose -3*d + 5*d - q = 0. Suppose 388 = d*f + 4. What is the highest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 4*p**2 + 2*p + 3. Let o be i(-3). Solve d - 4 = -2*m - 2*d, o = 3*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 54. Let w(r) = 2*r + 7975. Give f(w(x)).\nAnswer: -4*x - 16004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 17*o**2 + 12*o - 1. Let b(w) = -2*w - 4. Calculate the remainder when h(-16) is divided by b(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25197 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*19 - (37 - 32). Suppose 0 = v - 86 - f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 130*a - 16. Let h(s) = -64*s + 9. What is 5*h(v) + 3*o(v)?\nAnswer: 70*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 24*d - 89. Let r be o(17). Calculate the greatest common divisor of r and 825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39416.\nAnswer: 2, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((168\/7)\/6)\/(-1 - 9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1086 and 30104463?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 10. Calculate l(6).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -39, -12, 47?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 125?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 25*m**3 + 7*m**2 - 20*m - 3. Let g be a(5). Let x = g + -2013. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 + -2.79. Suppose 4*n = 5*k - 0*k - 26, -5*n = 2*k + 16. Let t be 1\/k*8\/(-6). Sort -2\/5, j, t.\nAnswer: j, t, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -121005*z - 484012. Calculate w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3701\/1610 + -56\/115. Find the common denominator of k and 121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in 0.4, -2\/5, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b - -1283d1?\nAnswer: 12845c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(5))**2 - (-2*sqrt(18))\/sqrt(6) - (0 + sqrt(27) + -2*(sqrt(3) + 1))**2.\nAnswer: 6*sqrt(3) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q**3 - q**2 - 3*q + 2. Let h be g(2). List the prime factors of (-2)\/7 + h\/21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/4 + 5*s**3\/3 + s**2\/2 - 3*s - 9. Let z be f(-4). Solve x = 5*m + 3*x + z, -3*x = 2*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37108 - 74222 + 37114 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let p(q) = -q**2 + 8*q - 8*q + 0 + 5. Calculate h(p(z)).\nAnswer: z**4 - 10*z**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 280 = -4*h, 4*c + h - 2*h + 1086 = 0. What is the tens digit of ((-6)\/(-4))\/((-24)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 - 99394776*j**2 + 1234915087616490*j + 2469830572812100 = 0.\nAnswer: -2, 24848695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 130?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106806432 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*o - 190, -2*f - 4*o + 100 = -0*o. Let k be (-95)\/2*(7 + -9). Let w = k - f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8656180 to the nearest 10000.\nAnswer: -8660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10091000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, 50, -1, 2 in ascending order.\nAnswer: -5, -3, -1, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r. Let p(a) = a**3 - 1. Let h(f) = 4*f**3 - 6*f**2 - 8*f - 7. Let n(i) = h(i) - 5*p(i). Let v be n(-4). Put v, r, 2 in decreasing order.\nAnswer: 2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876 divided by 2.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-6))\/((-14)\/(-2541)). What is the lowest common multiple of 3 and (-14)\/70 + z\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*2*11\/(-66)*7437\/(-37)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 - 10. Give w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1091\/6, 2\/7, 0.5, -6\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3 in descending order.\nAnswer: 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtq when three letters picked without replacement from {r: 1, q: 2, t: 1, w: 1, k: 1, x: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1053762460.4 to the nearest 100000.\nAnswer: -1053800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5573 = -2*q, q - i - 2789 = -3*i. Let g = -33323\/12 + q. Calculate the common denominator of g and -143\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*f**3 + 89*a*f - 32*f**4 - 2*f**3 + 82*f wrt f?\nAnswer: -6*a*f - 384*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1601*v - 117. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10))\/((-5)\/25). Let a(i) = 2 + 5 - r*i**2 - 12 + 3*i**2 + 3. Give a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 5*c + 4. Let z be w(-1). Suppose 5*q = y - z - 13, -7 = 3*q - y. Let t be -1 + 3 + q + 2. Solve -2*l - 7 - t = 3*a, -l = -4*a + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-14\/3))**(-16)\/((l\/l**28)\/(l\/(l*l\/(l\/l**(-27\/2)*l)))))**(2\/7) assuming l is positive.\nAnswer: l**(697\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = -6*l. Suppose l*y - 53 = -17. Suppose 4*o - o = j + 10, 0 = 3*j - 3*o + y. Which is smaller: -5\/4 or j?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j + 30. What is g(9)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3983347 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 287*q**2 - 7*q + 2764. What is r(0)?\nAnswer: 2764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4869173420 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 - 12*n - 2. Let l be -2 + (13 - 1)\/(-4). List the prime factors of u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32122 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*q**(-4))*q)**(-1\/9) assuming q is positive.\nAnswer: q**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((110\/(-115))\/11 + (-15)\/92). Let i(n) = n + 6. Let r be i(6). Suppose r + 3 = 3*p. Put o, -1, p in increasing order.\nAnswer: o, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 - 2*d + 3. Let s be g(-3). Let u = -73 + s. What is the second derivative of -7*l - u*l**4 + 4*l**4 - 5*l - 13*l wrt l?\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 - (-19)\/(-4) - -5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -31 - 35\/24*w**4 + 27*w - 35\/12*w**3 - 1\/4*w**5 - 5\/2*w**2. Let y(x) be the first derivative of i(x). Factor y(r).\nAnswer: -5*(r + 1)*(r + 2)*(2*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - i + 1, 3*h + 5*i + 2 = 3. Let r(m) = 0 - 1 + 3*m**h + 0 - m + 0*m**3 - m**3. What is r(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 5, s: 3, i: 3, t: 3}. What is prob of sequence iptm?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let j be 1\/(-2)*(-4)\/2. What is the highest common divisor of j and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k**2 + k - 4. Let s be l(-3). Suppose 63*n = -3736 - 6974. Which is greater: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**3 + 3*r**2 - 9. Let c = 53 - 109. Let f = 0 + c. Let u = -58 - f. Let b(q) = -4*q**3 + q**2 - 4. Determine u*n(d) + 5*b(d).\nAnswer: -2*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3502 + 3505. Put 126, g, -3 in descending order.\nAnswer: 126, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1028757020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -47*m + 54*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/60*q**5 - 1\/3*q**4 - q**2 + 0 - q + 0*q**3. Let r(z) be the first derivative of d(z). Determine r(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442235 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclqjcoqiqoc. What is prob of picking 3 q and 1 l?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - n**5\/30 + 11*n**4\/8 + 55*n**3\/6 - 117*n**2 - 2*n. Is o(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htl when three letters picked without replacement from {h: 1, l: 2, m: 1, t: 1, f: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 45\/2 of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 7448?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7939)\/(-1144) - 26\/65*140\/8 and 97\/156.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 4, -228\/103?\nAnswer: -228\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -424 + 881. Let b = -177 + n. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 10321?\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -r - y, y = -2*y + 9. Suppose -3*o - o = r. Let v(k) = k**3 + 5*k**2 + 3*k - 1. Let x be v(o). Solve x*z - 7 = -4*p, -z - 16 = -4*p + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1)\/(-120)*4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16704 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 110044048*m - 756855781264144 = 0. What is m?\nAnswer: -13755506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 13*q - 4*q. Let f(i) = 2*i**2 - 2*i. Let h be f(q). Suppose -4\/5*z**2 + h + 1\/5*z = 0. What is z?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) - (-4 + sqrt(21)\/sqrt(3) + sqrt(7)))))**2 - (sqrt(7) + (1 + sqrt(7))**2*5).\nAnswer: -19*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 16*g - 15 + 55 = 0, 0 = 2*m + 4*g - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 50*u**3 - 15*u**2 + 9*u - 46. Let b be m(6). Suppose -b + 2348 = -20*j. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446028, 892051, 1338072, 1784091?\nAnswer: 2230108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -328219\/1995 + 3142\/19. Calculate the common denominator of m and -17\/180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 7 = 4*j + 23, -2*j + 12*d - 34 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 408, -4, 3, 0, -18, 11, 7.\nAnswer: -18, -4, 0, 3, 7, 11, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3 = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f + 2*u + 1, 4*u + 4 = 0. Let r(w) = 6*w - 4. Let k be r(f). Is (4\/k)\/((-2)\/(-2230)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9*1*15. Calculate the least common multiple of 14 and m\/2*16\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 38, 108, 220, 380, 594?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123143200 rounded to the nearest one million?\nAnswer: -1123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104834.\nAnswer: 2, 23, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -131040 (base 7) to base 5\nAnswer: -1240011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2, -212.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10097, -20501, -31557, -43595, -56945?\nAnswer: -71937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3 - 5 - 39\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 15. Suppose 0*l + 4*l = 8. Let o(h) = 7*h - 2. Let z be o(l). Let r be j(z). Which is the third biggest value? (a) r (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let x be (40\/(-12))\/(o\/(-3)). Suppose 4*l - 4*z - 164 - 28 = 0, x*z = -3*l + 136. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/13 and 15 + ((-77532)\/(-648))\/(-7).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-0.706.\nAnswer: 19.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 236968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99870896 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629775 is divided by 271605?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**3\/(((i*i**(-10))\/i)\/((i\/((i**(-6)\/i*i)\/i))\/i)) assuming i is positive.\nAnswer: i**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96175.1ug to tonnes.\nAnswer: 0.0000000961751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -946.1 + 946. Is 3117 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/4 - 1519*t**2\/2 - 3035*t - 3034 = 0. Calculate t.\nAnswer: -3034, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 1, 0.158, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12)\/sqrt(6)*6)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2518*f. Let y(h) = 2*h**2 + 1. Calculate y(r(k)).\nAnswer: 12680648*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 2*l + 5. Calculate d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -159. Let i = y - -91. Solve -i*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.208916473 to 4 dps.\nAnswer: -6.2089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - r**2 - 2*r + 2. Let y be k(1). What is the third derivative of y*p**4 - 5*p**2 + 27*p**2 - 9*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x**2\/5 + 1189*x\/5 + 1368\/5 = 0. Calculate x.\nAnswer: -8\/7, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*y - 837179, 11*k - 15*k = -5*y - 1674373. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-126)\/91) + 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/2982 and 115\/3408.\nAnswer: 23856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705461 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8999 - i + 8999.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jflmg. What is prob of picking 1 g and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 873309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -22, -3\/2, -0.5, 3\/85 in decreasing order.\nAnswer: 6, 3\/85, -0.5, -3\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*(-55)\/(-880)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 - (25 - 15 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28\/147 + 307920\/126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 4*k - 4. Suppose -r - 8 = -5*r, 3*l = -5*r + 31. Is v(l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(6\/11))\/b*b\/(b\/(b\/(b\/(b*b**10)*b))))**(-39))**12 assuming b is positive.\nAnswer: b**(-59436\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97815 + 97815 + 877*t**2 - 2*t)*(0*t**2 + 3*t**2 - t**2) - 4*t**4 - t**4 + 2*t**4.\nAnswer: 1751*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 - 145 - (0 - (4 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.55 - -7.5. Let o = 0 - -0.05. Let m = u + o. Put 4, m, 2\/13 in descending order.\nAnswer: 4, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313113232 + 103?\nAnswer: -1313113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1085287 or 1085327?\nAnswer: 1085327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 555\/217 + -66\/31. Let t = -27 + 59. Which is the biggest value? (a) d (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 9*z + 9. Suppose 0 = o - 6 - 1. Calculate g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -1498\/943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h*(h*h**9\/h)\/h*h))\/h)\/(h\/h**(-3\/8)*h)*h*h\/h**(-11)*h**3 assuming h is positive.\nAnswer: h**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001001010001 - -10?\nAnswer: -10100001001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 7100224.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39042?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5161\/2 + -2693. Suppose -5*a + 585 = -5*x, -3*x + 0*a = 3*a + 339. Let t = s - x. Which is bigger: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:06 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89376*i**3 - 5*i**2 - 38*i + 518901642 wrt i.\nAnswer: 268128*i**2 - 10*i - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-15148.\nAnswer: 4544.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*p + 35 = -346*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27942 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 g = 109 + -107. Solve g + 3 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5782317568 to the nearest integer?\nAnswer: 76042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -964.4 + 962.4. Let d(t) = -6*t + 2. Let m be d(5). Put -5, 1, l, m in decreasing order.\nAnswer: 1, l, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160753254 >= 160753255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10727?\nAnswer: 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09350148 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183864993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83957928 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2898.5976 months?\nAnswer: 0.2415498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069*0.4592.\nAnswer: 0.0316848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*o = -83520 + 81060 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343956 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.8. What is the smallest value in s, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194092013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4680 divided by 180\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17622 - -681?\nAnswer: 18413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -61\/3. Let v = -3.89 - 0.11. Which is the closest to -2\/3? (a) u (b) -2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + i + 3, 0 = -j + 2*i + i - 1. Let v = 351 - 1793\/5. Let b = v - -36\/5. Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497077?\nAnswer: 89, 39293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*o - 625 = 834 + 851 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 + 2 = 0. Sort -3, h, 10 in increasing order.\nAnswer: h, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8738417 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15383444?\nAnswer: 2, 3845861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*o + 93, 2*o - 10*r - 58 = -6*r. Which is the fourth smallest value? (a) 0 (b) -2 (c) o (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92283 is divided by 18453.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 - 2*r**5 - 5*r**2 - 3*r**5 - 5*r**2 + 15*r**3.\nAnswer: -5*r**2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -u - 47. Let h = 106 + u. Solve -2*m = 4*a + 12, -h*m + a + 2*a = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 748209 and 902.\nAnswer: 1496418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -100, -141, -176, -205?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*1 - 1 - (-1 + -6). Suppose -2*g + 1 = p, -4*p + l*g + 26 + 28 = 0. Calculate the smallest common multiple of p and 141.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -31. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkvvzkvvmkvkkmkv. What is prob of sequence kmv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:40 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - -10. Suppose 7*t + q = 6*t. Let z = 40 + t. Solve 3*v + 3*a = -9, 2*a - 3 + 17 = -z*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maqaeevqqeqmeaeevee. Give prob of picking 2 v.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 2129, 4790, 8527, 13346?\nAnswer: 19253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.9 + 29. Let z = 3.92 - 4. Let d = -3.92 + z. Which is the third smallest value? (a) h (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**3 + 87157*u**2 + 77481*u - 9685.\nAnswer: -(u - 9685)*(u + 1)*(9*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 10*m - 29*m + (0*m + 3*m - 2*m)*(-5 + 2 + 0))*(m - 184 + 97 + 93).\nAnswer: -34*m**2 - 204*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -35422 (base 6) in base 5?\nAnswer: -131001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 7*z**5\/11 + 474*z**4\/11 - 4409*z**3 - 3294158*z**2\/11 + 4300992*z\/11 - 958816\/11 = 0.\nAnswer: -76, 2\/7, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(228) - sqrt(57)) - 3*sqrt(114)\/sqrt(2))\/((sqrt(2541) - 2*sqrt(2541))\/sqrt(7)).\nAnswer: -sqrt(19)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7540 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -2.17 (b) 38\/13 (c) 0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*l - l. Let x(v) = -v**2 + 8*v - 6. Determine x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100540076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984898 is divided by 164042.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 38, 69, 120, 197, 306?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -394274880 to the nearest one million.\nAnswer: -394000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 593*f**2 - 37080*f - 1277. Determine o(-71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 88. Which is the second biggest value? (a) 1 (b) k (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 14*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6554.\nAnswer: 5\/6554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 3) + (0 - 5). Let u be 1796\/18 - z\/18. Let q = u + -67. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) -0.4 (b) 1\/6 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 13. Let t be p(-8). Suppose -m = 4*c - 22, 0 = -0*m + t*m - 4*c + 10. Factor 4*l**3 + 16*l - 2*l - 16*l**m + 2*l.\nAnswer: 4*l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 29 - 34 + 3*y. Let i(a) = -2*a + 11. What is -4*i(z) - 9*j(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5497*n**6 + 3*n**5 + 166*n**3 - 56932020*n**2 wrt n?\nAnswer: -659640*n**3 + 180*n**2 + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32918261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t - 519*t - 625*t.\nAnswer: -1181*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d - 326. What is y(-32)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, -895 in decreasing order.\nAnswer: 4, -3, -5, -895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34.53 and 0.1?\nAnswer: 34.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11110110011110110010001 (base 2) to base 10\nAnswer: 8076689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 231*n**2 + 1053*n - 24. Let h be s(-120). What is the greatest common divisor of h and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (5 - 0)) + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -42*f + 34. Let u be p(1). List the prime factors of 248\/3 + u\/84*7.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 726 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o - 46. Calculate y(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3329 divided by -879\nAnswer: 3329\/879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5*d - 1. Let z(q) = q**3 - 4*q**2 - 14*q - 3. Give -8*u(g) + 3*z(g).\nAnswer: 3*g**3 - 4*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, w: 2}. Give prob of picking 1 u and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 11*y + 5. Give q(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234740 by 21340.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3253240 + 3?\nAnswer: 3253243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19743684 and -0.2.\nAnswer: 19743683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1041*c**2 - 14572*c + 81. Calculate g(-14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 + 150*m = 0. What is m?\nAnswer: -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.737 + -2.337. What is the nearest to 3\/5 in -1, l, 0.259?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120702151 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 - 7*q**3\/3 + q**2 - 14*q - 12. Let r be t(8). Let h = r + 8. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -405503 + 3660595\/9. Which is smaller: d or 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267336+106\nAnswer: 267442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d28da (base 15) to base 2.\nAnswer: -10100010110100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75710762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -55*8\/(-80)*22. Calculate the highest common divisor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 11:09 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 246 = 75. Let u be 1*2\/(-4)*-6. Suppose -2*g - 9 = u*t - 38, -5*t + 25 = g. Calculate the remainder when p is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 90. Suppose -5*v + 0*v - 2*j = -5, 0 = 2*v + 2*j + 4. Let r be v + 0 - (0 + 2). Put 2\/11, r, c in decreasing order.\nAnswer: c, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (32\/(-48))\/((-2)\/3) - -899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 15, 8, -5, 1.\nAnswer: -5, -4, 1, 5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/(-25) + (12\/10)\/(-3). Suppose -s - o*s + 36 = 0. Calculate the greatest common divisor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1845)\/3690)\/(0 - (-2)\/(-76))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let q be (4\/3)\/((-6)\/(-9)). Let l(d) = 6*d**2 + 5*d**q - 5*d**2. Give z(l(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/10*-2*410\/82?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 + -36. Let i(t) = t**2 - 7*t - 2. Let r be i(8). Suppose r*z = 68 + x. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u - u + (1 + 2 + 0)*(0*u + 3*u - 2*u))*(u**2 + u**2 - u**2).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 4, x: 4}. Give prob of sequence scx.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 1:13 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19033, 76440, 172113, 306046, 478233, 688668?\nAnswer: 937345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 11*b + 44 - 26.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**5*r - 2*a**5 + 2*a**3 + 2*a**2 + 28*r wrt a?\nAnswer: 660*a**2*r - 120*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r**4 + 634*r**3 - 7377*r**2 + 4*r.\nAnswer: 360*r + 3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 - 2*n + 4. Let u be y(2). Suppose 0 = c + 2*s - 20, c + 3*s + u = 3*c. What is the remainder when 119 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 105 - (-267 - (23 + -308)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*j - 1 = -2*f, -5*f + j = -16. Solve -4 = -f*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/15)\/(1\/(-5)). Suppose 9*i = x*i. Solve 3*z = -i + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9858\/(-4743))\/(16\/12) + (-33)\/(-22)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - q + 3*q = -51728, q = -y - 12934. Let t be 9\/((-297)\/y) + (-6)\/(-33). What is the greatest common factor of 49 and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -4)*-1 + 1. Sort 5, d, -4.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1923.729870359 - -1923.73. What is q rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(-2\/7))*d*d)\/d*d)\/d**(-1\/3))\/(d**(-1\/12)\/(d*((d*d**(-3))\/d)\/d))*d**(2\/5)*d**(-6)*d**(1\/2)*d*d\/d**(2\/21)*d*d*d assuming d is positive.\nAnswer: d**(71\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15431, 133316, 453291, 1076402, 2103695, 3636216, 5775011?\nAnswer: 8621126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4970895661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/15)\/(2*(-9)\/60). Suppose d - 2952 = -5*q, 2*q - 391 = -s*d + 797. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2495 - 1741. What is the greatest common divisor of 116 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1136 and 39\/10.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 12*k**2 - 2*k + 7. Let f be 12\/(-8)*-10 + -1. Is i(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + 28*g + 17. Let y be (-2)\/9*-3 - 38\/(-6). Let z be d(y). Solve 2*m = -i + 13, 3*m = -i + z - 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -13, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1434 (b) -1 (c) 3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from gggygaaggggaga.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 6*w - 3*q - 9, 12 = 4*w - q - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Let h(b) be the third derivative of b**5\/24 - b**3 - 9*b**2. Let l(k) be the first derivative of h(k). Give l(w(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 233*h**2 - h + 90. What is w(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/7, -7.52, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 2*i - 1. Let a be b(-1). Let w be a - (-5 + (-4 - -5)). Find the second derivative of 5*d - 2*d**w - 11*d**3 + 12*d**3 + 2*d**2 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 981 and 203314103?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**2 - 33*d + 69. Let m be s(-7). Let n(h) = h**2 + 18*h - 140. What is n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.9281ug to milligrams.\nAnswer: 0.0839281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - s - s + (0 - 3 - 1)*(0 + 0 + s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2308 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44164232 to the nearest integer?\nAnswer: 6646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 + 4 + 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4) + (-2 - (2 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - z**3 + (-2*z + 4*z - 3*z)*(8*z**2 + 32*z - 69*z + 35*z).\nAnswer: -9*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343117 > 1343120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g - 6*g)*(-1248*g + 3746*g - 545*g).\nAnswer: -15624*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -46\/1323?\nAnswer: -46\/1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/24*3*0. Suppose -22 + h = -u. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -446.\nAnswer: 1\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3138, -6271, -9406, -12543?\n\"Answer: -n**2 - 3130*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:55 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33825486 divided by 402.\nAnswer: 84143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -22, -26, -28, -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10045 and 15\/8036.\nAnswer: 40180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 10*i = 0. Let u = -8 - i. Let f = -2 - -3. Is u less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c34c4 - 7?\nAnswer: c34ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from afaaafafffaaffaffa.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:47 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*m**2 + m**3 - 5892 + 4324 + 835*m - 163*m.\nAnswer: (m - 2)*(m + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261 (base 14) to base 7.\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/70 - 27*v**5\/35 + 19*v**4\/14 + 18*v**3\/7 - 111*v**2\/14 + 2*v + 3574. Solve o(d) = 0.\nAnswer: -37, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21556 and 62492?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 124860.5 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -2, -4, 6 in decreasing order.\nAnswer: 6, 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 28*q - 20. Let g be o(6). Which is the nearest to -1\/4? (a) 0.23 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 2)*(1 + 0). Let h(k) = -k**2 + 7*k - 4. Let v be h(s). Let x be (v\/(-6))\/((-4)\/(-36)). Let t(q) = -q**2 - 2*q - 4. Give t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/139 and -49\/1828115.\nAnswer: 254107985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -d. What is the lowest common multiple of 16 and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a**4 + 23\/3*a**3 + 0*a**6 + 215 + 0*a**2 + 0*a**5 + 0*a + 130\/7*a**7. Find the third derivative of t(y) wrt y.\nAnswer: 15600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/117 - 337\/(-9). Let a = l - 36. What is the hundreds digit of ((-820)\/(-40))\/(a\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -124 - (30\/120 + 54\/8). Are -171 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8470260182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -24*i**3 - 4*i**2 - 4*i + 17. Let z be g(-4). Solve 1512*v + 35 = z*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215205088 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 25*j + 12. Let q(s) = s**2 + 32*s + 211. Let f be q(-22). Give u(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 203, -18, -5, -3, 23.\nAnswer: -18, -5, -3, -2, 0, 23, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 43*n**2 - 8*n - 22. What is the units digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*q**3 + 305*q**3 - 608*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17384164 and 304.\nAnswer: 69536656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (3 - 0\/1). Suppose -p = 4*z - 7. Solve -z = -3*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2\/21*t**4 - 10\/7*t**2 + 36\/7 + 10\/21*t**3 - 30\/7*t = 0.\nAnswer: -6, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 2*s - 2. Let g be w(-6). Let z be (0\/2)\/(g\/(-5)). Suppose z = 4*q - 0 - 20. Solve -q*x = 2*y + 4, -5*x = -4*x + 4*y - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3*c - c)*(1 + 0 + 0) + 15 - 4*c - 15 + (5 - 5 + 2)*(2*c - c + 3*c) + 0*c - 2*c + 4*c + (-2 - 1 - 2)*(3*c + c - 5*c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 - 2 - 2 + 3*f - f**2. Let t = -13 - -19. Calculate the remainder when m(t) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lla when three letters picked without replacement from lolslsla?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8755*p. Let y(z) = -3*z. Determine y(u(k)).\nAnswer: 26265*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2248840 = 8*c - 5907240. What is c rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515 + 353. Let i = -160 - g. Solve -y = -i - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 68da + 11?\nAnswer: 690b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 40. Let x(p) = -4*p + 60. Let g(d) = 8*o(d) - 5*x(d). Let l be g(8). Is (6\/l)\/(2\/(-124)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/11 - 4976*o**2\/11 + 29802*o\/11 - 44676\/11 = 0.\nAnswer: 3, 2482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 3\/(3\/7)*(818 + -819)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/12*18\/12. Suppose b + 625 = 5*r - c*b, b = 4. Calculate the remainder when r is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 8. Let s(u) = -8*u + 9. Let m(l) = -4*o(l) - 3*s(l). Let p(d) = 3*d - 5. Give -4*m(b) - 5*p(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*j**4 + 76*j**4 - 8*j**4 + (-j**3 + 1 - 1)*(0*j - 3*j + 2*j).\nAnswer: 103*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 417811 times -1870?\nAnswer: -781306570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151552?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -2*t - 3*t. Suppose 5 = 4*z - t. Suppose -5*h = 5*k - 190, h + z = 2*h. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-10)\/n*n)\/n*n**12\/n)\/((n*n\/(n**(-7)*n))\/n)**8)**(-13) assuming n is positive.\nAnswer: n**728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*d + 19, -5*a - 2*d + 22 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/22 (c) -4 (d) -2 (e) 1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6871 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333879367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31183 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127.2 - -146. What is a rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -26*k**3 - 11*k**2 + 11*k + 31. Let h(m) = -5*m**3 - 2*m**2 + 2*m + 6. Let i(w) = -11*h(w) + 2*x(w). Let q(d) = -d + 1. Calculate -i(f) - 4*q(f).\nAnswer: -3*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5040)\/(-800))\/((-45)\/(-150)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -98*o + 103*o - 658, 2*o - 3*x - 287 = 0. Solve -23*m - 5 = o for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 807 - 573. Does 46 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2072)\/(-4070) - (-2)\/22.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-408)\/(-918))\/(-1*2))\/((-372)\/186)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/369432 and -37\/1200654?\nAnswer: 4802616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2, -k + 2*k - c - 23 = 0. Suppose -k = 2*w - 68. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 28*k + 9. Let h(z) = -14*z - 5. Calculate -4*c(p) - 7*h(p).\nAnswer: -14*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let x = d - -3. Suppose -70 = -x*y + y. What is the remainder when 40 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -11*w**2 - 176*w - 158. What is q(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.5132 millilitres in litres?\nAnswer: 0.0895132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o - 28*o - 4*o + 7*o in the form m + c*o and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w = 1073548 + 15092. Is 64 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 16. Let q be (-116)\/c - (-2)\/8. Let h(k) = -2*k + 9. Let m be h(q). Solve d - g - 15 = -6*g, 3*d + m = 2*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/14*(-1453886)\/(-179050)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/138*(-54)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**17)**(23\/2) assuming s is positive.\nAnswer: s**(391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - 0. Suppose g - 8 = l*q, 3 = 5*g - 3*q - 23. Suppose 2*m = g*m - 126. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:23 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124905010781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/18 + (-24)\/108. Suppose 0 = a*d - 9, -15 = 3*b + 4*d + 51. Let j = b - -22. Sort -1\/4, -2, j.\nAnswer: j, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/5)*f**(7\/2) assuming f is positive.\nAnswer: f**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 13*w + 21. Calculate the remainder when x(-9) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47\/342 - -1\/38. Calculate the common denominator of f and 16\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-300)\/(-12)) + (-542)\/(-10). What is the highest common divisor of t and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sznn when four letters picked without replacement from zszsnzssnssszsszzz.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, 23, 5, 0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 23812.\nAnswer: -95248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/37128 and -31\/3757884.\nAnswer: 52610376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = g, -3*j + 4*g = -46 + 55. Sort 2\/9, 2, -0.13, j, -7 in decreasing order.\nAnswer: 2, 2\/9, -0.13, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 124*w**2 + 1. Let u be i(1). Suppose -4*s = -2*s + 5*z - u, 4*s = z + 217. What is the highest common divisor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5 (c) -3\/4 (d) 16 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -200. Suppose -136*m + w = -134*m. Suppose 0 = -j - 3*j. Solve j = -t - 0 - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.1678 + -0.1422. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -4 + sqrt(931) + sqrt(19) + -1 + sqrt(171)\/sqrt(9))**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.3 - -33.9. Sort -9, -2\/3, z in decreasing order.\nAnswer: z, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**2 + 0*q**2 + 2*q**2. Let x(g) be the third derivative of g**4\/12 + 3*g**2. What is x(f(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*f*u**2 - 2*f*u - 2*u**2 + 86 wrt u.\nAnswer: -528*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83451\/19 + -4387. Suppose 120\/19*o**2 + 16\/19*o + 0 + v*o**4 + 252\/19*o**3 = 0. What is o?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21737*n**2 - 1713 + 1713 to the form c + x*n + b*n**2 and give b.\nAnswer: -21737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -64?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -66) + -66 + (2 - -4).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let b = o + 3. Let j = -34 - -31. Put b, 1\/4, j in descending order.\nAnswer: b, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782312.\nAnswer: 2, 71, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 211?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 2. Let j(u) = 10*u + 7. Let a(w) = 51*w + 36. Let o(t) = -4*a(t) + 21*j(t). Let k be (-2)\/(-7) + 30\/(-7). Calculate k*o(p) - 5*d(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -135881627 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 0. Let i = -0.0628 - z. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 1496 = -29*b - 153*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i - 180. Give o(22).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 55) + 1728 + -1727.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58845437.\nAnswer: 7, 29, 227, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43774689 is divided by 2270.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -0.625456, -5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Suppose 3*a - 4*q + 14 = 0, 2 = -2*a - 4*q + 26. Solve -a*l - 6 = -v*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + y = 10, -2*r = -r - y + 2. What is the remainder when 44 is divided by (3 + -49)\/(4\/r)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2600 + 223 = -4*h - 5*c, 0 = 5*h - 2*c - 2930. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 2680065950 + 2680065950.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = -2*p. Let x be -1 - ((-13)\/(-7) + 6\/42). Let m be (p\/(-4) - x)*1. Which is the second smallest value? (a) -5 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 98*s**3 + 241*s**2 + 88*s - 4 = 0?\nAnswer: -2, -1\/2, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 117*m**3 - 10*m + 21*m.\nAnswer: 117*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*t + 420, 4*s + 299 - 26 = -3*t. Let g = t + 184. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27817\/11 - -2534. Let z = k + -5. Let g(c) = 2*c - 20. Let t be g(12). What is the biggest value in -1\/3, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001 - 101?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1247532\/61 or 20452?\nAnswer: 1247532\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 2:34 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - f = 1235, -955 = -3*u - 5*f. Let z = -42209 - -42239. Calculate the highest common factor of u and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 11:11 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38550*z**3 + 76825*z**3 - 115374*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(475))**2)*-5.\nAnswer: 4740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 317537073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiciiicicccccccicii. Give prob of sequence cci.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/10*(50\/(110\/(-22)))\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218713642 >= 218713641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472015 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:12 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/105 - (-8)\/(-84). Suppose -2*q + 3 = -5*n + 14, 0 = -5*n - q + 17. Solve -3*f + 0*f + n = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 + c**4\/24 + 3657*c**2. Let h(u) = -u**2 + 14*u - 1. Calculate -h(q) + l(q).\nAnswer: 2*q**2 - 13*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*1174.741\nAnswer: -2349.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1 - 21*o**2 + 8*o - 2*o + 20*o**2. Calculate y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 79 - 61. Suppose -4*f = -3*f - s. Let b = -35 + f. Is b < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 46*g**2 - 466*g + 6405. Let n(b) = -153*b**2 + 1396*b - 19214. Let a(i) = -3*n(i) - 10*q(i). Differentiate a(s) wrt s.\nAnswer: -2*s + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.31768 centuries to millennia.\nAnswer: 5.931768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvuvuvvvjjvjvvfv. Give prob of picking 1 f and 2 v.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43290867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) -2\/35 (c) -0.024 (d) -23 (e) 27 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 22. Suppose -8*u - 2 = -o*u. Solve -6*y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121312.207 to the nearest 1000.\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7161, -2, -5, 5 in descending order.\nAnswer: 5, 0, -2\/7161, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365339*u - 182768*u - 182570*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-75))\/14*-3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-29 - (-7 - 17)) + (-6 - -16))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4 + 35*q**3\/6 - 28*q. Find the second derivative of i(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8182 + -8188. Sort 2, m, 0, 7, 3 in increasing order.\nAnswer: m, 0, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.417989.\nAnswer: 0.2089945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*k + 40 = 10, 0 = -5*k. List the prime factors of (-6)\/6*(0 - u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 - 1.7. Let f = -0.8 - m. Sort 1, 10, f.\nAnswer: f, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(31\/93)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234416 is divided by 194?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 381 - -22?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17118, 68473, 154066, 273897, 427966?\nAnswer: 616273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -3\/2, 2\/5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 3*o + 99 = 19*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6330, 6331, 6320, 6291, 6238?\nAnswer: 6155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448.3 + -415. Let c = -198.3 + i. Let y = c + 174.1. Round y to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11751*n**5 - 25*n**4 + 2*n**3 + 108*n**2 - 68712.\nAnswer: -705060*n**2 - 600*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424 divided by -2.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457496299?\nAnswer: 13, 17, 1381, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1 + 1)\/(1 + 2). Sort -2, -4, 0, v in ascending order.\nAnswer: -4, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39110, 78031, 116952, 155873, 194794, 233715?\n\"Answer: 38921*f + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-5) - 2\/(-5). Calculate the smallest common multiple of 2 and k*(0 + 3\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371910*q**4 - 3*q**3 - 19*q + 446310586 wrt q.\nAnswer: -1487640*q**3 - 9*q**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -4*y - d - 0*d, -280 = -4*y - 4*d. Suppose -k - y = -3*x, -3*k - 33 = -3*x + 2*x. Solve 5*i - x = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -971 - 1272 - b**2 + 2243. Let o(c) = 16*c - 3. What is k(o(l))?\nAnswer: -256*l**2 + 96*l - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 17, 39, 71, 113, 165, 227?\n\"Answer: 5*i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p - 8 = 147*p, 2*u - 3*p = 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 4*u**2 + 2*u - 1. Let v(s) = 3*s + 46. Suppose 3*j = 2*h + h - 42, -h - 50 = 3*j. Let p be v(j). What is k(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 228946311.\nAnswer: 228946311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243474 and 3213.\nAnswer: 2191266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*b + 17545, 3*t - 10535 = 6*t - b. Let s = t - -9242. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -155. Let g = h - -109.29. Let v = g + 0.7729. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let j(c) be the third derivative of c**6\/360 + c**4\/12 + c**3\/2 + c**2. Let t(x) be the first derivative of j(x). What is -2*k(a) + t(a)?\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/((56\/(-12))\/(-7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 4*f**2 + 1 - f + f. Let o(g) = -2*g. What is z(o(k))?\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, z: 1, o: 3, j: 2, c: 3, m: 1}. Give prob of picking 1 o, 1 h, 1 j, and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19953431 divided by -18?\nAnswer: -19953431\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/128*56 - -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503398935, -1006797871, -1510196807, -2013595743, -2516994679?\nAnswer: -3020393615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 12) to base 9.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/20)\/((-5)\/(-16)). What is the closest to -1\/3 in -2\/7, m, -109?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8779, -17561, -26345, -35131, -43919, -52709, -61501?\nAnswer: -70295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3496741526 to 4 decimal places.\nAnswer: -0.3497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45465 (base 8) to base 7\nAnswer: -110063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6210, 8162, 10118, 12078, 14042?\n\"Answer: 2*p**2 + 1946*p + 4262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2705*b - 2502132. Calculate w(-925).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 38.5\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:11 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/7? (a) -4 (b) 0.4 (c) -5\/10127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otoo when four letters picked without replacement from tooooot.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079154 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2 + 213*l - 78. Determine k(-25).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 4 - 4 + (-2 + 6 + 15)*(3*m**4 - m**3 + 3*m**3 + 2*m**4).\nAnswer: 94*m**4 + 38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*k)*(2 + 1 + 0) - 4*k + 3*k + 2*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3033 + 3030. Put -2.4, -2, i, 21\/2 in decreasing order.\nAnswer: 21\/2, -2, -2.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 divided by -5?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513428 and 564.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ffnffffnfnnfn.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) - -4*(sqrt(228) + 1*sqrt(228))) - 4*(sqrt(228) + -2*sqrt(228)))\/(sqrt(36)\/(sqrt(147)*5)).\nAnswer: -140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*i - 48, 44 = -2*q + 6*q + 5*i. Let x(p) = 2*p**2 - 30*p - 32. Let u be x(q). Suppose b - 49 - 31 = u. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (7 - (2 + 6 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5175 and 569325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2350*u - 17770 + 6805 = 2322*u - 4543*u for u.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1441 - 1028. Suppose 0 = 3*d - 3*y - 405, 7*y - 2*y + x = 3*d. Suppose d = 4*g - 29. What is the remainder when g is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 325, 373, 507, 769, 1201, 1845, 2743?\nAnswer: 3937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068758873 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 3}. What is prob of picking 1 h and 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 182. Let o be t(43). Suppose 4*u = 33 - o. What is the third biggest value in u, -1\/8, 9.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -0.26?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283317838?\nAnswer: 2, 149, 167, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/56)\/((-1)\/7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29551\/13688 - (-29 - 20556\/(-708))?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 105, 4, -87, 3 in ascending order.\nAnswer: -87, -3, 3, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -16 - 34 - (-16 + 18).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-287)\/(-35) + (-1)\/5. Suppose 3*s + 30 = c*s. Suppose 9*a = s*a + 66. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177160, 354278, 531396?\nAnswer: 708514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -57, -69, -77, -81, -81, -77?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44846988?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4805\/2112 + -293\/64. What is the common denominator of -29\/18 and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2065)\/1239)\/((-4)\/(-12)*-15))\/((-32)\/6)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 97*f - 204. Let u be t(25). Let k = -1237 + u. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165 by -973.\nAnswer: -165\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*h + 546316 + 184785. What are the prime factors of h?\nAnswer: 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1837 - 2209 = 6*s. Let m be -1 - -4*(-33)\/(-2). Let a = m + s. Solve z = a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -855 and 458637.\nAnswer: -392134635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 176 = 3*m, -191 = -3*m - 0*m + r. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/60 + n**4\/18 + n**3\/18 + 26*n - 1. Let r(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 0.4, 709, 1\/6, 9.3, 5?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 135 = 5*b. What is the remainder when (69\/9)\/(4\/336*-166 - -2) is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/5)\/((-2)\/15). Suppose 0 = -3*a - 2*v + 15, 5*a - 2*v = -v + b. Let k = a + 5. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9*(-36)\/(-2). Suppose 5*w = -2*i + 53, 0 = 2*i + w - 43 - m. Let u(k) = 4*k + 5. What is the remainder when i is divided by u(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) + (-2)\/(-4)*(-21150)\/(-1575)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 330719812 + -54899882375\/166. Let s = g + 2371. Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5, g: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + (112 - 36) - (7 - 118)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 7*s - 10. What is h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from aaaasaaassaa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3598 is divided by 1362.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.402 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-351))\/((-336)\/546).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*p**2 - 2)*(-p**2 - 2*p + 2*p) - 4*p**3 - 3*p + 17*p**3 + 5*p - p**4 as w*p**3 + i*p**2 + l + n*p + x*p**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(4 - 4 - 2)*(4*i - 2*i + 0*i + (-494 + 280 + 556)*(i - i - 2*i)) as v + r*i and give r.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-25)\/9 - (-145)\/45\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*o = 244, -24*o + 297 = 5*x - 27*o. What is the greatest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - (-4 + 8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.83 and -1723.\nAnswer: 10045.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -105461.8.\nAnswer: -105461.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-13) - (-216)\/52. Suppose c = -2*f, 0*f = -m + 2*f + 7. Solve -2*u + m*u + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, u: 14}. Give prob of picking 2 u.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8091 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: Calculate -4*(-39)\/(-182)*(-14)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2, k: 4, l: 1, x: 3}. What is prob of sequence kh?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - 1563?\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - 350*i**2 + 3276*i + 138. Determine d(-96).\nAnswer: -1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 322 = 2*v, 2*v - 211 = -m + 127. Suppose -l - 30 = 82. Let g = v + l. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 13.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -652.3 and 2.7235.\nAnswer: -1776.53905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5431728 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 41. Calculate the least common multiple of 12 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0453 in 2\/19, -2, -0.4, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4*d)**(1\/31)*d**(-4\/3)\/d**4)**(-6\/11) assuming d is positive.\nAnswer: d**(962\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-2) + 406\/126 + 4. Find f, given that -8\/9*f - 2\/3 - k*f**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1. Let d(f) = 9*f**3 - 4*f**2 + 4*f + 6. Let r(v) = -d(v) - 6*s(v). Let u(i) = 26*i**3 - 11*i**2 + 11*i. Calculate 11*r(b) + 4*u(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*c - 313 + 282, 42 = 6*c + 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12408 and 3948.\nAnswer: 86856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*x = 2*x + 2, -x = i + 8. Let z = 13 + -12.8. Which is bigger: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 707082?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80.57 + -1.43. Let m = z - -86.9. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 304 - -87200?\nAnswer: 87504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 + 6 + 9 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {y: 2, a: 2, g: 3, c: 3, s: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 - 44*v**4 + 387*v**3 + 2160*v**2 + 1728*v = 0.\nAnswer: -3, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4813*p - 9650*p + 4834*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -354874*i**5 + i**2 + 172262.\nAnswer: -21292440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 7:38 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*d + 76*d + 4*p + 8, 5*d - 40 = -2*p for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Let w(d) be the third derivative of 0*d - 1\/3*d**3 - 1\/30*d**5 + 0*d**4 + i + d**2. Differentiate w(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*v = 15, 2*v = -4*t + 4 + 56. Let r(m) = -m**3 + 14*m**2 + 14*m + 8. Calculate r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2935*d**4 + 443*d + 1601*d**3 + 4 + 1466*d**4 - 1 + 13*d**3 + 1470*d**4 wrt d.\nAnswer: 12*d**2 + 9684*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79c - 1832?\nAnswer: -20ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-286)\/(-104) - (3\/4 - 1). Let i(k) be the third derivative of 5*k**2 - 5\/6*k**a + 0*k + 0 - 1\/24*k**4. What is i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 2*t**2 - 4*t + 1. Calculate k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14241 - 52*p**2 + 28588 - 14294 to u*p**2 + r*p + x and give x.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a factor of 88714320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l - 65. Give f(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1496)\/476)\/(136688\/68348 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, 19, 2.\nAnswer: -24, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428001*a*i*z + 4*a*i - 3426*a - 6*i**2*z + 825*i**2 + 5*i*z with respect to z.\nAnswer: 428001*a*i - 6*i**2 + 5*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4858?\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -44) + (69 - -41)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from wjkjkkf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5058 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*v - 1768 = 262. What is the remainder when 0 + 3*346\/6 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-480)*(-32)\/24 - (-1)\/(-12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3706\/9 - 412. Which is the closest to 6? (a) i (b) -2 (c) -0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**4\/8 - 16*q**3\/3 + 84*q**2 - 576*q - 712. Factor i(l).\nAnswer: (l - 12)**2*(l - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 77*m - 74*m + 72, -4*z = -20*m - 576 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2313.92 - 53637.57\nAnswer: -55951.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -300, -582?\n\"Answer: -282*a + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.369 to one decimal place.\nAnswer: 56.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 23*v - 8. Let c be b(11). Solve -f = -c + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2655 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -2\/13, -3\/13, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 25*h - 433 = 30*h, -2*l = -2*h - 294. What is the remainder when 450 is divided by l?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 25*o + 8. Let t(l) = -2*l**2 - 1. Give d(k) + 6*t(k).\nAnswer: -4*k**2 + 25*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12132428 and 1936?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (294\/57884)\/((-1)\/12). Let s = j + -4\/499. Let g = -0.288 - 2.712. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189574727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3769 - 0.3768991643. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*v - 288*v - 41 + 161*v + 60*v.\nAnswer: -v - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.82 in 2, 4, -0.2, -4, 2\/21, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 82. Let u = -9125 - -9116. Give p(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:28 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*b + 6, 3*b - 9 = 4*x + x. Let l be (-287)\/b*(16 - -5). Is (l\/(-14))\/(2\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 175 - 131 = 0. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 106.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:15 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 418802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (13 + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 236, 920, 2058, 3650, 5696, 8196?\n\"Answer: 227*a**2 + 3*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -7.3. Which is the fourth biggest value? (a) -1 (b) -4 (c) t (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91231 + -74991943\/822. Calculate the common denominator of -69\/2 and c.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-7))\/(16\/(-56)). Let i = 0.034 - 36.034. Let o = i + 35.8. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*c)*(-53 + 226 + 222 + 299)*(4 + 3 + 0).\nAnswer: 9716*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6549 + -6544. Which is the closest to -53? (a) -3 (b) 0.3 (c) -15 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00151891 rounded to 5 dps?\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 1\/105*y**7 + 0*y**5 + 0*y + 1\/30*y**6 - 5*y**2 - 1\/3*y**3 - 1\/6*y**4 + 0. Factor v(l).\nAnswer: 2*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*(m**(2\/5)\/m)\/m)\/(m**(-1\/9)\/((m\/(m*m\/m**(-1\/4)))\/m)) assuming m is positive.\nAnswer: m**(-2113\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/5 + 24*k**2\/5 - 31*k + 60 = 0. What is k?\nAnswer: 4, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let n be 6656\/39 - (-4)\/(-6). Suppose z*l = -2*l + n. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 2616 + 13*w**2 - 2616 as x*w**2 + n*w + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 2*o = -31*m - 10686, -3*m - 2*o - 8017 = 0. Let f = -1615 - m. What are the prime factors of f?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -16) + 14 + -54 + 1 + -17.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s + 12. Let h be c(8). Solve -2*m - h = -6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13197727.2 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -2\/7, 0.4, 5, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-139)*(-585)\/(-7605)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppnpppnpp. Give prob of picking 4 p.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**5 + r**2 - 8*r**2 + r**5 wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114787 or -114504?\nAnswer: -114504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -82 (b) 3346 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2025, 5909, 13843?\n\"Answer: 7934*z - 9959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8))**(-27)\/(c*c*c**(-5)*c**(-3)\/c) assuming c is positive.\nAnswer: c**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/(-168))\/((-12)\/(-80)*5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8677 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4430*q**3 - 8859*q**3 + 4427*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 1161. Let h be (1*2)\/(18\/o). Suppose 7 = -4*a + h. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273.1 - 273.04. Suppose 3 = 2*z - z. Suppose 0 = z*q - 4*q - 2. Are q and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 - 12*r + 12. Let q be i(5). Solve -o + 1 = -q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615\/(-1845)*(-9)\/3*-41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 6*j. Find the second derivative of -j*w - 3*w - 6*w + 11*w + 5*w**3 wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17 + 10 + 2*m + 7. Let l(c) be the third derivative of c**5\/60 - c**2. Give k(l(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57020\/3 + 19007. What is the closest to 2 in -58\/7, -3, -4\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 10*q + 21. Suppose -2*u - 3 + 19 = 0. Let c be z(u). Solve -c*l = 2*x - 7 - 0, -2*l + 18 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 7. Let m be (-14)\/(-84) - (-329)\/6. Suppose -11*x = 22 + m. What is f(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(0 - -9)*-491485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + 3\/2. Let z(a) = 24*a**2 + 31*a**n - 53*a**2. Let j(t) = -2*t - 4*t + 3*t + 2*t. What is z(j(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let b be (-1 - 1) + t + 0. Let y(i) = -i**3 + 4*i + 4. Is y(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1904 + -1251. Suppose 418 = 4*h - 2*d, 108 - l = -5*h - 5*d. Calculate the least common multiple of 6 and h.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (1 + sqrt(1573) - sqrt(1573))*-5)**2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 3*i - 4. Let l be (1 + 0)*(-1 - -9). Suppose 2*p = 4*p + l. Calculate the remainder when o(p) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558625947 to the nearest integer?\nAnswer: 23635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -92712, -370830, -834360, -1483302, -2317656, -3337422, -4542600?\n\"Answer: -92706*j**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, u: 4, p: 3}. Give prob of picking 1 j and 3 p.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 2. Let m(y) = 2*y + 1. Let v(d) = m(d) + 4*x(d). Let a(i) = 5*i - 6. What is 4*a(t) - 3*v(t)?\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2389*d + 779. Let n be m(-2). Is n at most 22233\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(17) + -1 + -3.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x - 98 = y + 200, -374*x - 50 = -379*x - 5*y for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/11944 and -75\/14?\nAnswer: 83608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2*o**3*u - 6101*i**2*o**3 + 2*i**2*o**2 - 3*i**2*o*u + 25*i**2*o wrt o.\nAnswer: -6*i**2*u - 36606*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*s + 31, 0 = 35911*s - 35916*s - 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + -4*(sqrt(567) + 2))*4)**2.\nAnswer: 92160*sqrt(7) + 2328832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 - -208. Let r be (q\/7)\/(19\/(-532)). Let l(t) = 15*t**3 + 1. Let b be l(1). Calculate the greatest common divisor of r and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*i - 58, 0 = f + 3*f - 4*i + 140. What is the units digit of ((-12)\/(-18))\/((-2)\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268*v - 210*v + 390*v + 366*v + 427*v to the form w*v + m and give w.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20\/9, 16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 9*u**2 + 7*u + 4. Let m(n) = 2*n**3 + 8*n**2 - 6*n - 4. Determine 6*c(b) + 7*m(b).\nAnswer: 2*b**3 + 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93727 is divided by 223?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21*(-56)\/12*30\/(-35). Find the second derivative of 9 + 43*t + t**5 - 45*t + 38 + q*t**3 wrt t.\nAnswer: 20*t**3 + 504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84594088 divided by -10574261.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-19)*1\/9)\/((-9)\/(-2)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 112.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - 65. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at least as big as 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1980 - 5743 - 7*y**2 - 2025 - 1561 + 43*y wrt y.\nAnswer: -14*y + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 12, 162 = 5*q + 2*d + 2*d. Suppose q = -2*t + 44. What is the remainder when 60 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4876\/(-1272) - 5\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 5*o = 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d + 13 = 0. Let i = 18 - d. Suppose i*n = -3429613 - 13570387. Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/3, 0.3, 394\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i**3 - 351*i**2 + 11856*i. Let k(f) = -108*f**3 - 2223*f**2 + 75087*f. Let d(z) = -63*a(z) + 10*k(z). Find the second derivative of d(g) wrt g.\nAnswer: -54*g - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164539, 164540, 164541, 164542, 164543, 164544?\n\"Answer: o + 164538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.77 and 5823?\nAnswer: 4483.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765831055.\nAnswer: 3, 5, 128129579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548695 is divided by 895.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269150 to the power of 1\/2, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 5 (b) -8 (c) -2 (d) 0.2 (e) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 243 + 241 = 0. Suppose -6*t + 66 = 2*s - 2*t, d*s = -t + 78. Calculate the remainder when s is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732725167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 288\/5 (b) 5.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q - 5. Let j be p(-7). Suppose j = 5*c - 140. Suppose -r - 2*s - 3*s = -16, 3*r = -s + c. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h. Let i be 15 - 2\/4*6. Suppose -2*p = -4*c + i, -5*c = -3*c + 2*p. Let m(g) = -31*g + 0*g**c + 31*g + g**2. What is m(k(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*v + 123, 3*v - 6*z = -4*z - 126. Let u be (-4 - 144\/v)*-2. Factor 0 + 152\/11*q**2 - 686\/11*q**5 + 98\/11*q**4 + u*q + 420\/11*q**3.\nAnswer: -2*q*(q - 1)*(7*q + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 5*l**2 + 3*l**2)*(-216*l - 209*l + 420*l - l**3 - 2).\nAnswer: -l**5 - 5*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 13*u**2 - 38*u - 72. What is r(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from cfwfffnfwcfffwfzf.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 94276497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 9*i**2 - 9*i - 4. Let o be k(-7). Let l = -29 - o. What is the least common multiple of 6 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23179093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - -37. Let n = o + -149. Let b(t) = 79*t + 1. Let a be b(3). Calculate the highest common divisor of n and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -4*s. What is the lowest common multiple of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(2 + (-5691)\/(-22778)*-8)?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 27*i**2 + 49*i + 44. Let v be 27 + -2 - -4 - 4. What is the remainder when 89 is divided by t(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1344*c**3*g**2*j + 27*c**3*g + 10*c**2*g**2*j + 336*c**2*g**2 - 2*c**2*g with respect to j.\nAnswer: 1344*c**3*g**2 + 10*c**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 8*m**2 + 3. Let t be y(-8). Suppose -q + 2*w - 1 = 0, 4*q = t*q - 5*w + 13. Let l be 2\/(-8) - (-3)\/12. Solve -7*x + q*x + 12 = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1659*r**3 - 6423*r**3 - 250*r**3 - 14075*r**3.\nAnswer: -19089*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -u + 15, -5*u = 3*n - n + 9. Let g be 4\/n + (-234)\/(-42). What is the second derivative of 14*b + 4*b**g - 14*b**5 - 28*b + 13*b wrt b?\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + -29.7. Let d = o + 61. What is d rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 14, -0.5, 70\/13?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5645793 smaller than -5645797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 471 = q + 470, -4*s = -4*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 138669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.4313 nanograms in kilograms?\nAnswer: 0.0000000000884313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*225108\nAnswer: 2701296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21*(11 + -19 + 7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 107\/136314 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (2093\/(-14))\/((-3)\/2598) + 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*(q*q**(3\/5))\/q)**35*(q**0*q**(1\/4))\/((q*q**(-2))\/(q\/(q\/(q*q**(-1)*q*q)*q))) assuming q is positive.\nAnswer: q**(513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.19, -1\/7, -10, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 124*o + 22 = -123*o, 0 = 2*m - 5*o + 56 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w - 10. Let o = -10296 + 10285. Let q(x) = 3*x + 3. Give o*q(u) - 4*h(u).\nAnswer: 3*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 11) in base 2?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 + 553\/3. Which is the smallest value? (a) 0.4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r**2 - 6*r**2 + 6 + 7 - 5*r + 7 - 16 to the form o*r + i*r**2 + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 9*s + 8. Let n = 154 - 162. Calculate l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532109.\nAnswer: 409, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*b*d**2*g - 9*b*d**2 + 2*d**2*g - 8*d**2 + 4*d*g wrt b?\nAnswer: -70*d**2*g - 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-17))**(-4\/27))**25)**(1\/2) assuming h is positive.\nAnswer: h**(850\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4881 is divided by 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-838*h - 5 + 383*h + 409*h)*(-2*h + 2*h + 2*h)*(-3*h - h + 6*h) + h**3 - 6*h**3 + 3*h**3.\nAnswer: -186*h**3 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.2 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 129 (b) -67748\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w, -3*t = -2*w + w - 18. Suppose -4*h - 8 = -2*j + 38, -17 = 3*h - t*j. Let q = h + 15. Which is the closest to q? (a) -0.3 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1825 and 1080?\nAnswer: 394200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -1, 6 in decreasing order.\nAnswer: 6, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/30 + 0)*120. What is the highest common divisor of 48 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2302 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42238*r - 21118*r - 21092*r - 224 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3 - 2*a**2 + 3*a - 2364. Let z = 65 + -63. Give k(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3. Suppose -5*z - r*q - 21 = 0, 12 = 5*z - 4*q + 45. Let i be (12\/z)\/((-2)\/10). What is the highest common factor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {o: 5, k: 2, z: 1, u: 3, q: 3, b: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756236644.\nAnswer: 2, 1543, 122527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + k - 6 = 3*f, f + 14 = -k. Let g = f + 24. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose 4*r - j - 10 = 0. Let t(h) = -12*h**2 + 154*h - 120. Let x be t(12). Solve r*a - 4*k + 2 = x, -a + 3*k = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*p - 39 = 11*x + 816*p, 2*p = x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 3120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4237*q**2 + 12652*q**2 - 4212*q**2 - 4206*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 5*a**4\/12 + 5*a**3\/2 + a. Factor y(v).\nAnswer: 5*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 14. Let b be u(6). Let x be (-510)\/b + (-9)\/12. Let c(y) = y. Let t(j) = -24*j. Calculate x*c(w) + 3*t(w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24344720)\/48 + 15)*2*30. What is q rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -2746, -6169, -10960, -17119, -24646, -33541?\nAnswer: -43804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 2\/29, 0.112?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*q + 15 = 183*q, o + o = -q + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 6)*(0*l**2 + 3*l**2 - 2*l**2)*(10*l**2 - 5*l**2 + 14*l**2) to s*l**4 + o + i*l**3 + g*l**2 + u*l and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 5*a + 4*v, -4*a - 4*v + 60 = -3*a. Suppose -88 + 20 = -4*k - 5*s, -3*k + a = 3*s. Solve -2*f = 2*f - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49877*v = -49829*v + 2688 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16126 is divided by 16110?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -3611?\nAnswer: 15\/3611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - 104\/(-6). Suppose -4102 = 12*n - 334. Let a = -307 - n. Solve -3*o - 2*q = -6*q - h, a = -2*o - q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 374 + 116. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 4*i - 10. Let x be n(-2). Factor x*a**2 + 12\/7 + 54\/7*a.\nAnswer: 6*(a + 1)*(7*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -1.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**3 - 200*k**3 + 77*k**3 + 69*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 613, 1733, 3375, 5569, 8345?\n\"Answer: 5*o**3 + 231*o**2 + 392*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - -290 - (-180)\/(-18) is divided by 87?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/(-6) - (-4 - (-18)\/4). Suppose -u*l - 25 = 19. Let t(g) = g**3 + 3*g**2 - 4*g - 1. Give t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(686))\/sqrt(7) + -3 - (-2*sqrt(8)*-1)\/((sqrt(4) - -1*sqrt(4) - sqrt(4))*-4))**2.\nAnswer: -45*sqrt(2) + 243\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, l: 3, x: 1, h: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*t + 43*t + 8562. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -127336.\nAnswer: -127354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0414 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-138 - -130 - (1 + -7)) + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -105, -192, -303, -438, -597?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from {g: 2, y: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let g = 127 - 94. Let z(d) = -63*d - g*d + 44*d - 64*d. Give j(z(v)).\nAnswer: 232*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -182, -0.3, 2, -1, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15*l**2 - 2*l + 1. Let a(v) = -v**2. Determine -2*a(g) - f(g).\nAnswer: -13*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286083 and 90820.\nAnswer: 5721660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:22 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let u be i(5). Suppose -4*x + u*a = -2*x + 2, -4*a = x + 19. Let l(n) = n + 1. Determine l(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k - 2. Let m(y) = -5*y**3 - 30*y**2 - 14*y - 6. Let q(z) = -z**3 - z**2 + 1. Let i(r) = -m(r) + 3*q(r). Let f be i(-13). Is o(f) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10\/9, 1182, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52.3 and -632?\nAnswer: 33053.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99399*g**4*v - 31*g**4 + 2*g**2*v + 2*g**2 - 335281*g*v - 2*g - 3*v - 3 wrt g?\nAnswer: 2385576*g*v - 744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 - -13 - -115 - 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t**2. Let g(y) = -3275788*y**2. What is g(m(v))?\nAnswer: -160513612*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 880*k**5 + 8608*k**4 - 245524*k**3 - 2673964*k**2 + 612576*k + 198288 = 0.\nAnswer: -27\/2, -2\/11, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 100.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -6 - 6)\/3. Let t = -11 - -15. Suppose 4*x - 3*x + 3*g + 2 = 0, 5*x = 3*g - 28. Sort w, x, t in ascending order.\nAnswer: x, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201821 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-15)*-6*7 - -4. Let q = b - -36. Calculate the least common multiple of q and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 2*h**2 - 4. Let z(o) = o. Let l(x) = -x**3 - 3*x**2 - 7*x - 5. Let n(b) = -l(b) - 6*z(b). Calculate -3*g(d) - 2*n(d).\nAnswer: d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 40*y**3 + 8*y**2 - 36*y - 34. Let b(h) = 14*h**3 + 3*h**2 - 13*h - 12. Let t(z) = 11*b(z) - 4*m(z). Determine t(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1715)*-1)\/(sqrt(5) - -5*sqrt(80)).\nAnswer: -sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7040116843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -o + 130. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.02829 minus 953489479?\nAnswer: -953489485.02829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {q: 3, v: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746354629.\nAnswer: 59, 29599231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 263226537.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 174*j + 18. Let x(d) = -175*d - 14. Calculate 6*x(a) + 5*z(a).\nAnswer: -180*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.06. Let q = -1.06 - y. Let h = -70 + 67. Which is the second biggest value? (a) q (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(3\/4*32\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, -78, -292, -592?\n\"Answer: -43*d**2 + d + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x - 0*b + 4*b, 2*x = 3*b - 3. Let r be 6*4\/(-6)*1. Let a(k) = -5*k**2 - 3. Let w(n) = 4*n**2 - n + 2. Let f(y) = r*w(y) + x*a(y). What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -2 (c) 33 (d) -1\/5 (e) -716 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.9 + -34.8. Let c = p - 27.667. Round c to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from yyyiyydyywyidy.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 2\/23, 1\/14, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67738092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-740)\/123 - (2 + -8). Which is smaller: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/1*6\/9. Let b(y) = 2*y**2 + 5*y + 4. Let n(f) = 2*f**2 + 6*f + 5. Determine p*n(j) + 7*b(j).\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-58 - (116 + -71)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 821735.7mg in kilograms?\nAnswer: 0.8217357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = 4*n - 11, 0 = 2*n + 4*z - 8. Suppose -3*d = 2*p - 42, -3 = -n*d - 3*p + 30. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:57 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c**2 + 20*c**2 - 26*c**2 + (-5 + 2 + 6)*(-10*c**2 - c**2 + 13*c**2) as y + q*c**2 + o*c and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 - -154. Let w(d) = 6*d**2 + 5*d + 28. Let b be w(8). Let y = b + g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 7*a - 5*a)*(16 + 11 + 13)*(-2*a**3 - 50*a + 50*a).\nAnswer: 320*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s + 6*s + 14*s to l*s + m and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*a - 126*a + 36800. Suppose -5*z - 5*n - 840 = -6585, -4*z = 2*n - a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**2 - f - 8. Let l(h) = 10*h**2 + h + 10. What is -3*l(j) - 4*x(j)?\nAnswer: 14*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 - -6. Suppose 0 = u - 3*u. Let s be -3*(4\/(-3) + u). Which is the second biggest value? (a) i (b) s (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (99 + -1 + 4)*(-4)\/(-6). Suppose 57*p = b*p - 15532. List the prime factors of p.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196195 by -196195.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10073600 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - o + o)*(10*o - 10*o - 7*o**2 + (-4 + 2 + 1)*(-o**2 - o**2 - 17*o**2)).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.42044s to microseconds.\nAnswer: 41420440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2809 (base 10) to base 8\nAnswer: 5371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551 divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y - 3. Let q be g(-3). Suppose -4*d - 16 = -4*l, 4*l + 8 + 8 = -4*d. Put l, q, 2 in increasing order.\nAnswer: l, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836079.\nAnswer: 2836079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c + 2*c)*(0 - 1 + 2)*(0 - 3 - 2*c - 2).\nAnswer: -6*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1592\/40 - 6) + 1\/5. Suppose r + 38 = 12*x. Let j(l) = -l**2 + 3*l + 3. Calculate j(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125823*j**3 + 125821*j**3 + 125796*j**3 - 377434*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4925 - n**3 - 4925.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4840)*1)\/(sqrt(24)\/sqrt(27)).\nAnswer: -132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 3*w**2 - w**3 + (-3 - 8 - 218)*(4*w**2 - 3*w**3 - 4*w**2) - 8 - 2*w**3 + 8 as a*w + n*w**2 + i + j*w**3 and give j.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65656096 to the power of 1\/2, to the nearest integer?\nAnswer: 8103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -310 + 309.9. Which is the second biggest value? (a) -7 (b) -2 (c) 2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283702 (base 9) to base 3\nAnswer: 1022210210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5646.448l in millilitres?\nAnswer: 5646448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 9. Let w = c + 16.4. Let v = -0.6 + w. Sort 5, 0.1, v.\nAnswer: v, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gstggghsgs. What is prob of picking 3 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {z: 1, t: 4, m: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f + 2*f)*(4*f**2 + 0*f + 2*f + 0*f).\nAnswer: 8*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17869166 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 32 in decreasing order.\nAnswer: 32, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**4\/4 + 3*x**3 - 15*x**2\/2 + 21*x. Solve c(k) = 0 for k.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f. Let u be o(5). Suppose 4*b - 39 = i + 4*i, -u*b = 2*i - 24. Solve -z = z - b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11125 + -11090. What is the smallest common multiple of z and 127?\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 104*a**3 + 5*a**2 + 108*a**3 + 0*a**2 to d*a**3 + u*a**2 + p*a + t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*z + 5*z. Let d be ((-926)\/(-10))\/(2\/10). Let f = d + -311. Calculate the greatest common factor of f and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 573*s**2 - 2270817*s + 71334 = 0.\nAnswer: 6\/191, 3963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 2:39 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -19, -46, -81?\n\"Answer: -4*f**2 - 7*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.67 - 30.782. Let s = -202 - -202.888. Let d = j - s. Which is the smallest value? (a) 24 (b) 3\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*b - 211 = -0*c, 0 = 4*c + 5*b - 171. Suppose 3*r - 8 = -2. Suppose -5*t = 4*y - 69, -r*t + 3*y = 2*t - c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17493 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: Calculate 8\/(-6)*1\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12006879 to the nearest 10000.\nAnswer: 12010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 146 + -77. Suppose 7*z = 2*z - 5*g - 145, -z - 2*g = 29. Let c = f + z. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let l(s) = s + 1. Let k(g) = -4*g**3 - 2*g**2 - 2*g - 1. Let a be k(-1). Let d(o) = 2*o - 3. Let u(p) = a*l(p) + d(p). What is u(r(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 5) in base 16?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -851.7 - -852. What is the nearest to -1\/6 in a, 1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204915943*w**4 + 112699934*w wrt w.\nAnswer: -2458991316*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 682397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3750 and 12000?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - 153*x**2 - 182*x - 7586. Calculate i(-31).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-49)*7)\/(-22)*10\/(-5)*3.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6852350 to the nearest 10000.\nAnswer: 6850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*c = -20, 2*i - 4*c = -738 + 756 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 34*s + 17. Let d(o) = -5*o**2 - 33*o - 16. Let b(j) = -4*a(j) - 5*d(j). What are the prime factors of b(-9)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12287 + 12326. Solve -3*d = -l*d + 216 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 2\/15 (b) 3 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 44435*b**2 - 44965*b + 530 = 0.\nAnswer: 106\/8887, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1 - 16. Suppose 3*p = d - q, -5*d = p + 5 - 30. Suppose p = a - 7 - 9. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/13)\/l*l\/((l**8\/l)\/l*l) assuming l is positive.\nAnswer: l**(-93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 3321 - 7*g**2 - 13334 + 3349 + 3324 + 3340.\nAnswer: -7*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*y\/y**(-2\/5)*y*y)\/y)**(1\/64)*(y**(-2\/5))**(-1\/4)*(y**(-1\/9)\/y)\/(y**(-1\/5)\/y)*y**(-1)*y*y**(2\/15)\/y assuming y is positive.\nAnswer: y**(-1709\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -220, -344, -538, -814, -1184?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25187 = 576*t + 4451 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 8*x - 2. Let j(w) = -w - 1. Let y(d) = g(d) - 5*j(d). Let z(m) be the first derivative of y(m). What is the derivative of z(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + 17. Let q be x(3). Suppose -q*i + 11503 = 1129. What is the highest common factor of 42 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/12)\/(3\/104) + 7. Let w(t) = -t. Let j(d) = -11*d - 2. Let l(z) = j(z) - 6*w(z). Let a(c) = -36*c - 15. Determine p*l(y) + 6*a(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -1 - 11, -5*q = -4*z - 13. Let g be (-224)\/(-49) + 4\/z. Solve 5*h + 25 = -5*a, 7 = -4*h + g*a + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 12. Let v = -21 - -15. Is 2 a factor of 9\/v*y\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1956, 7780, 17466, 31014?\nAnswer: 48424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + f**3 - 3*f**3)*(2 + 2 - 2) - 5*f**3 + 4*f**3 + 2*f**3 - f**3 + 3*f**3 - 4*f**3 + 9 + 674*f**3 - 16*f**2 + 3*f**2 - 669*f**3.\nAnswer: 2*f**3 - 13*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41011 - -110?\nAnswer: -40401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 348\/42 + -3 - 5. Which is the nearest to 1? (a) u (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 1630*r**2 + 3*r + 3*r + 334*r**2 - 2 - 2*r to the form z*r**2 + t + n*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 79. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2410383 by 19.\nAnswer: 2410383\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -33.058. Let z = 0.098 + b. Which is smaller: z or 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6)) + sqrt(2)*-1 + 4.\nAnswer: -2*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 9*u**2 + 4*u - 28. Let n(p) = -6*p**3 - 25*p**2 - 11*p + 83. Let y(z) = -6*n(z) - 17*s(z). Find the second derivative of y(o) wrt o.\nAnswer: 12*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(4))\/sqrt(3) - -5*(1 + sqrt(2)).\nAnswer: 5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:03 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0\/(1*(-23 + 9 + 9)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2436)\/(-20) + -1 + (-24)\/(-20).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3168821, -3168827, -3168845, -3168875?\n\"Answer: -6*m**2 + 12*m - 3168827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:07 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 3689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/8 - 6703*m\/4 - 93793\/8 = 0.\nAnswer: -13399, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5414\/(-132) + 6\/33. Let x = p - -31. Let s = 1863 + -46582\/25. Find the common denominator of s and x.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17 - 10*q + 2*q**2 - 12 + 2*q - q**2. Let r(f) be the third derivative of -f**4\/12 + f**3\/6 - f**2. Calculate 2*l(a) - 9*r(a).\nAnswer: 2*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 3509630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48442131806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 80. Suppose -24 = -t*z + 19*z. Calculate the highest common divisor of z and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15112378, 15112381, 15112384, 15112387, 15112390, 15112393?\nAnswer: 15112396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -41*w**2 + 2*w - 1. Let n be t(1). Let g be 4\/10 - 127\/5. Let m = g - n. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899179, 1797612, 2696045, 3594478?\nAnswer: 4492911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brzciiw. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1471 + 505 + 489 + 477 - 12705*o**3 + 12728*o**3.\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - -5*-3*sqrt(18))\/sqrt(9).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 45. Let v(t) = t**2 + 8*t - 9. Let l be v(p). Sort 4, 2, l in descending order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -442 + 444. Suppose -d*i + 5*c = 19, 4*i + 18 - 5 = 5*c. Solve 2*v = 2*z - 4, -i*v + 19 = -z + 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 12. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43585056 plus 0.8?\nAnswer: 43585056.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 10:49 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/5 + 76*g**4\/5 + 78*g**3\/5 = 0.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 0, -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**3 + 2 + 170*o**2 - 170*o**2.\nAnswer: -33*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1442*l**2*u**2 - 117*l**2 + l*u - u**5 wrt u.\nAnswer: 2884*l**2 - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)\/t*t*t\/t**7*((t*t\/t**(-2))\/t)\/(t\/((t*t**(1\/4))\/t))*t**(-4)*t**(-6\/11)*(t*t**(2\/15))\/(t\/(t*t*t**4*t*t*t)) assuming t is positive.\nAnswer: t**(-3407\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 19\/6, -2\/11, 9\/13?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1d8693 (base 14) to base 2\nAnswer: -100000010111010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6022215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 358901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5171? (a) -5 (b) -3 (c) 25 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/(-12))\/(65\/(12740\/(-147)))*-9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1.1, -0.06, 19, 1\/50, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*k**4 - 3522*k**3 + 731775*k**2?\nAnswer: -1104*k - 21132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 1 = -7. Which is the biggest value? (a) d (b) 0.03 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17512.6 - -17230.60876. Let n = d + 282. What is n rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*n + 720 - 720 + 716*n to the form o*n + d and give o.\nAnswer: 794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 233256093.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let o(k) = -4 - 2*k + 3 - 5*k. Let n be 24\/32 + (-42)\/(-8). Let u(g) = n*a(g) - o(g). Differentiate u(v) with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -c - 17, c = -0*q + q + 1. Let p = -2 - q. What is the third derivative of 3*k**2 - 5*k**3 - 1259*k**p + 3*k**3 + 1258*k**4 + 7*k**2 wrt k?\nAnswer: -24*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020022210 (base 4) in base 12?\nAnswer: 336570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -2814?\nAnswer: -2814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -26. Suppose 0 = -5*d - 5*v + 4 + t, -3*v - 3 = 0. Let w = 48 - 37. What is the nearest to -1 in d, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20 - 7 + 26 + 84*m - 40*m**2 + 1 wrt m?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.86 + 2.51. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23149.2 + 23152. What is the nearest to g in -0.4, -1\/4, 16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-70)\/6*234\/(-273). Let o(i) = 3*i - 6. Let k be o(5). Suppose -k*d = -4*d - r. Calculate the highest common factor of 18 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1045 in -2\/9, -0.2, 2.99?\nAnswer: 2.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231820211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5464861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 3, u: 3, c: 3}. Give prob of picking 3 u and 1 m.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -6172524?\nAnswer: 6172525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3558643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001100010 - -10100?\nAnswer: -100001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.8, 8, -2, -2\/75?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 + 583*c**2 + 466*c - 1 wrt c?\nAnswer: 12*c + 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -998552?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - a - 300 = 0, 3*l - a = -2*a + 172. Let g be (-2)\/(-4)*4 + l. Let t = g - 27. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let p be (-25)\/(1125\/(-216)) - (-15)\/(-3). Which is the third smallest value? (a) t (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2 + sqrt(6)\/sqrt(2))*3)**2 + -3.\nAnswer: -72*sqrt(3) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1395, -1403, -1409, -1413, -1415, -1415, -1413?\n\"Answer: t**2 - 11*t - 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a**(-2)*a**(-2\/21)*a**(-7) assuming a is positive.\nAnswer: a**(-359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.286 - 0.114. Let z = b - -10.2. Is z <= 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let p(t) = -103*t + 6. Determine p(h(l)).\nAnswer: 103*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 20 - 8 = 0. Let v(a) = 4*a + 6. Let x be v(0). What is the remainder when x - 0 - (-140)\/4 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/11 (b) 1\/3167 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/72)\/((-4)\/12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2623 + 7546. Suppose 10*k - m = 857. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 - k**5\/4 - 3*k**4\/4 - 2*k**3 + 13*k**2. What is the units digit of d(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30655*z**3 + 1396*z - 2?\nAnswer: 183930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1872) + 4 + 3 - (sqrt(1872)*-4 + sqrt(1872) + -1)))**2.\nAnswer: 480*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 145?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -3*c**5\/10 - c**4\/12 - c**3\/6 - c**2\/2 - c. Let v = -10 - -9. Let g be h(v). Solve 0 = 2*y - 3 + g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + 4 - (((sqrt(228)*-3)\/sqrt(12))**2 + sqrt(19)))*4.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -22*b**3\/3 + 5*b. Let g(d) be the second derivative of d**3\/6 - 491*d. Give g(q(z)).\nAnswer: -44*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1600 divided by -5\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a. Let m(d) = 3*d**2 + 2*d - 1. Calculate the remainder when m(2) is divided by c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 70 = -0*d. Let p(w) = -w**2 - 8*w - 15. Let j be p(-5). Suppose g + 14*g - 2310 = j. Calculate the greatest common factor of g and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + 2*sqrt(605) + -4*(2*sqrt(50))\/sqrt(10))**2.\nAnswer: 90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:50 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:16 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 96*l**3 + 12*l**2 - 296*l + 192.\nAnswer: -4*(l - 24)*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 33 - 3*y**3 - 32 + 97.\nAnswer: -3*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.0603 + 1005.\nAnswer: 978.9397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (2 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*90*(70\/21 - 4). Suppose -n + k = -59. Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 + 3. Let u = p - 0. Let r = -5.62 - -7.62. Which is the nearest to 0.2? (a) r (b) 1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*y + 5935 + 506, -3*z = -3*y - 6423. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 26. Let a be z(-12). Let l(o) = 18*o**a + 1 - 12*o**2 + 3*o - 5*o + 0. What is the units digit of l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u. Let o(s) = 12*s - 8*s + 5 - 1. What is o(t(h))?\nAnswer: 12*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, -160, -640, -1342?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -216 in decreasing order.\nAnswer: -0.3, -2, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**3 - 204.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/4 - 163*k**2 + 6429*k\/4 - 2889\/2 = 0. Calculate k.\nAnswer: 1, 9, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = r - 8506 - 9529, -3*k = -4*r + 72254. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/135*(-10)\/(-36). Is 0 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24780717 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -26) + -17 + (-2 - (7 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhinihxpxi. What is prob of picking 3 h?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 - 92) + -2 + -19 + -52?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 822 - 546. Suppose -j = -5*j + f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3432 = 2*u. Suppose c = -5*c + u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 53. Suppose 3*b - 17 - 13 = 0. What is the remainder when 3\/((-9)\/x) + -1 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 9889.\nAnswer: 4\/9889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*v**5 - v**3 + 4*v**2 + 91495*v?\nAnswer: -7080*v**3 - 6*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -130*l + 69. Does 21 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 4. Let k = -37 + z. Let s(q) = -q. Let a(t) = -t - 1. Let b(p) = 4*p + 4. Let v(h) = 2*a(h) + b(h). Calculate k*s(m) - v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by -794?\nAnswer: 131\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*r + 101221, -68*f - 101214 = -71*f + 3*r. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + 13*l**4\/24 + 9*l**3 + 24*l**2. Let i be t(16). Solve 9*o - 9 = i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129572101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/82 and 37\/164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.22 - 9.62. What is the third smallest value in 0.1, x, 0.09, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277174 divided by 138587.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*(-n - n**2 + n + (4*n - 5*n + 3*n)*(0*n - 3*n + n) - n**2 + 1 - 1 - 26*n**2 + 22*n - 22*n).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:49 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + g - 1828 + 632 = 0, 4*h + 3*g - 948 = 0. Calculate the highest common factor of h and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4 = -2*q - 2, 2*v = 5*q - 63. Suppose q*g - 7*g = 12. Solve 0 = -4*o + 2*z + z + 27, -g*o - 11 = 4*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(3\/1) - 0. Suppose -b + 2*x + 13 = r, 10 = -2*x. Factor -1\/4*h**2 + 1\/4*h**3 + 0*h + b.\nAnswer: h**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 7931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-7)\/(-28))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m\/(m*((m\/m**(2\/5)*m)\/m)\/m*m))\/m)**(-5\/4))**(-3\/5)*m**(1\/4)*m**0*(m**(2\/3))**(8\/7) assuming m is positive.\nAnswer: m**(433\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914575477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34168987, -34168986, -34168985, -34168984, -34168983, -34168982?\n\"Answer: x - 34168988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 0. Suppose 0*v = -v + d. Let l be v\/1 + -1 + 0. Solve 5*q + 2*h - 16 = 0, l*h + 5*h = -3*q + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2))\/(2\/4). Suppose -3*b = -93 - 33. Let d be (y + 0)*b\/(-35). Solve 6*h - d = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 373 = -1003. Do k and -359\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = i + 40, 5*s - 6*s = 4*i - 2. Let b(k) = k**2 - 16*k - 28. Let j be b(s). Suppose 8 = -j*u + 24. Solve -z - 2 = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133277441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*a = -14, 1982146*c - 22 = 1982147*c + 4*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 14 - 3*y**2 - y.\nAnswer: -3*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**2)\/x)**(-11)*(x*x**(4\/11)\/x)\/(x*((x*x\/x**4)\/x)\/x) assuming x is positive.\nAnswer: x**(279\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96469095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 - 24*n**2 - 30*n**2 - 2*n**2 - 6*n**2.\nAnswer: -88*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250.34009 - -250.19. What is q rounded to 3 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*n = 11, 18 = 5*x + n + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from fqfcll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqqiiqqiqvviqcm. Give prob of picking 1 m and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13 = 2*l - 7*l, -s = 4*l - 2 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - w + 2. Let c(f) = 29*f**2 - 6*f + 11. Suppose -10*m + 48 = -62. Determine m*a(d) - 2*c(d).\nAnswer: 8*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27117 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**2 + 11*o - 19*o**2 + 3 - 38*o + 9*o + 11*o wrt o?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -27) + (-18 - -9) - (-3 + -7) - -9\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 35*z**3\/3 - 94*z**2\/3 - 16*z.\nAnswer: -z*(z + 3)*(z + 8)*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 times -5?\nAnswer: -3925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10396530599895 + -10?\nAnswer: 10396530599885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5461662 to the power of 1\/2, to the nearest integer?\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 23*q - 4*q = 27760. What are the prime factors of q?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/144 - 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (125\/(-20) + 7)\/9. Let h(d) be the third derivative of 0*d - 5\/8*d**4 + 10*d**2 + 0 - 5\/3*d**3 - z*d**5. Factor h(k).\nAnswer: -5*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9*-12)\/1 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -80, -8, 4, 3, -2\/9 in descending order.\nAnswer: 5, 4, 3, -2\/9, -1\/2, -8, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209102 - -209103. Let k be -2 + (-4)\/(-1) - -2. Let j = 5 - k. Solve 0 = -c - j - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 13. Let c(h) = -h**3 - 8*h**2 - 10*h - 13. Let y be c(-7). Is 23 a factor of k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 6*g + 3. Let u be q(6). Let p(f) = f - 4. Let c be p(u). Let k = 26 - 26. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54946277 rounded to the nearest 1000?\nAnswer: 54946000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.807156 less than -856.4?\nAnswer: -835.592844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63812 and 2?\nAnswer: 63812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 18*q + 25. Let m be v(-2). Let n = 114 + -39. Let h = n - m. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27184*s + 27184*s - 7*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24439219*k*l - 603071089*l wrt k.\nAnswer: -24439219*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f. Suppose z - 6 - 2 = -x, 5*x - 2*z - 12 = f. Find the third derivative of -2*w**4 + 3*w**x + w**2 - 3*w**2 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away -733828690?\nAnswer: 733828691.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5536 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 105 - 85 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 21692290.\nAnswer: 498922670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -47*l. Let p(f) = f**2 - 35*f. Calculate p(o(k)).\nAnswer: 2209*k**2 + 1645*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - y**2 - 3*y)*(-1 - 2 + 0) + 12*y**2 + 20*y**2 - 6*y**2 to the form q + b*y + t*y**2 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v**2 + 1756\/3*v - 385442\/3.\nAnswer: -2*(v - 439)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 882550 or -33?\nAnswer: 882550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-57)*110\/660*(-3)\/(-2)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g + 12 + 4*g - 3 - 5*g. Let a be 8 + 1 + -12 - (-7 + 0). What is the units digit of b(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.176 + 46.176. Let k = -62 - -110. Let u = k - m. What is the second smallest value in 2\/15, 6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:04 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243141202 (base 5) in base 14?\nAnswer: 21bb19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/60 + j**4\/12 + 5*j**3\/9 + 395*j. Let l(n) = 0. Calculate n.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -55404, -47, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - t**2 + t. Let i be l(0). Let h = 2 - i. Suppose 18 = b - 5*u - 0, h*b = -u + 3. Which is smaller: 3\/2 or b?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a**2. Let c(x) be the first derivative of 2*x**3\/3 + 3*x**2\/2 - 1282. Determine b(c(q)).\nAnswer: 44*q**4 + 132*q**3 + 99*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w = -100*w + 239 + 277. Determine y, given that 2\/15*y**2 + 0*y + 0 + 2\/15*y**w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 8*v**2 + 17*v - 9. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 2*x - 0*s, x - s - 4 = 0. Suppose 0 = 2*r + 3*r + 115. Let j = r - -21. Sort 4, j, x in descending order.\nAnswer: 4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 + 2*o**2 + 2. Let x be (-2)\/((-856)\/120 + 7). Let d(r) = 6*r**2 + x*r**2 - 24*r**2. Give d(w(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2\/9 (c) 0.3 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 135*x + 3 - 5 - 240*x + 132*x.\nAnswer: 27*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 344\/10)\/(2\/25). Suppose -9*z = z - b. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7059 - -7063. Solve -4*x - 3 = -2*v + 3, 3*v - x - r = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 67.9. Let h be 2*7\/(35\/2). Let x = -23\/35 + h. Which is the nearest to 1\/2? (a) x (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let f(j) = 434729928*j. Determine f(o(g)).\nAnswer: 434729928*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 20 = 0. Suppose o - 3 = 3. Suppose -4*x - j = -o*x. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + -145.1. Let p = -10 - q. What is the second biggest value in -5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 5814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*b - 398, 5*b - 396 = 2*u - 5*u. Let r(w) = w**2 - 15*w - 4. What is the smallest common multiple of r(17) and b?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c**2 + 0*c)*(-3 - c + 3 + (0*c - c - c)*(1 + 4 - 4) + 5*c - c - 3*c) - 2*c**3 + 3*c**3 + 4*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -445765*v**2 + 30500*v - 4?\nAnswer: -891530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/80 and -7\/2872.\nAnswer: 28720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1465*f + 1467*f = 4*g + 14, 3*f - 19 = 5*g. Let t(j) = -4*j**3 - 10*j**2 - j + 4. Calculate t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-28))\/(-5) - (1599\/7)\/13. What is the nearest to x in 0.5, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -177. Suppose 5*t = -4 + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3546, 7088, 10614, 14118, 17594?\n\"Answer: -g**3 - 2*g**2 + 3555*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*r - 63 = 0, -r + 121 = 3*f + r. Let w be (2\/((-4)\/(-13)))\/(14\/1204). What is the highest common divisor of w and f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-2\/7)))*i**(-9\/7))\/(i**0*i\/(i\/i**6)*i) assuming i is positive.\nAnswer: i**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1216) - (sqrt(1216) + ((sqrt(1216) - sqrt(1216)*4) + 0)**2)) + (-4 + sqrt(684))*2*-2.\nAnswer: -10933 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/14 - 92\/(-28). Solve q*j - 15 = g, 2*j - 13 = -2*j - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -326*w**5\/5 - 325*w + 870. Find the first derivative of t(x) wrt x.\nAnswer: -1304*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107856 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4\/2 + 4182055*a**3\/2 + 437242737105*a**2 + 1311713574160*a + 874472928080 = 0 for a.\nAnswer: -418204, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1261669.\nAnswer: 1\/1261669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by 28011.\nAnswer: 226\/28011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(2268) + (sqrt(2268) - (sqrt(2268) - 4*sqrt(2268)*-2))))\/(3*(sqrt(81) + (sqrt(81) - (sqrt(81) + sqrt(81)*1 - sqrt(81))*3))\/sqrt(9)).\nAnswer: -70*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 12) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5215*i**2*p**2*r**2 + 25*i**2*p*r**2 - 2*i*p + 9*p**2*r**2 + 776*p**2*r + 2*p**2 + 4*p wrt i.\nAnswer: 10430*p**2*r**2 + 50*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 + 5*k. Let u(t) = -13*t**2 - 11*t. Calculate 9*c(f) + 4*u(f).\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (12 - 7616\/416)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2237683404 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 66*i = -35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -6*o + o + 51, 51 = 3*y + 3*o. Find the common denominator of (8 - (-4 + 6)) + 4\/(-18)*-15 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d7b9 (base 16) to base 6.\nAnswer: 10445145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 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: Simplify (j\/(j\/(j**(7\/4)*j)*j*j*j))**(-20\/3)\/(j**(-15)\/(j\/(j\/(j\/j**(-1\/5)))*j)) assuming j is positive.\nAnswer: j**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 181697287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (3 - 1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8708 + -261239\/30. Let m = 0.056 - 0.156. Which is the smallest value? (a) j (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 135*f + 1. Let d(h) = h**2. Give d(m(x)).\nAnswer: 18225*x**2 + 270*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 143, 486, 1155, 2258, 3903, 6198?\nAnswer: 9251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5 (b) 0.2 (c) -0.02 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 + 2\/(-2)). Suppose -3*o = 3*x - 42, 4*x - 2*o = -g*x + 32. Calculate the highest common factor of x and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 - 91*j**3 + 6*j**4 + 47*j**3 - 4*j**2 - 3 + 2*j + 43*j**3 to n*j**2 + q*j**3 + d + s*j + f*j**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810, -6330, -21272, -50346, -98262, -169730, -269460?\nAnswer: -402162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**3 - 3*c**2 + 2*c + 27. Let v(l) = 6*l**3 + 2*l**2 - l - 18. What is -5*q(m) - 8*v(m)?\nAnswer: 2*m**3 - m**2 - 2*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -16. Let k(g) = 21*g**3 + 12*g. Let p(r) = -r**3 - r. Let m(c) = b*p(c) + k(c). Find the second derivative of m(w) wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1714784 and 71\/5573048?\nAnswer: 22292192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2779512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose 2*m - 2*c = 78270, o*m - 56685 = -4*c + 99839. Suppose a = -17867 - m. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 23*i - 78. Let r be g(4). Which is the second biggest value? (a) 1\/52 (b) 27 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -1348316723416.\nAnswer: 1348316723415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1065 + 1064.96. What is the closest to 0.05 in m, -0.2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38593.85 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3324 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/5*(-1255)\/1757?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/816)\/((-3)\/27)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 11. Let l be (-12)\/j*64\/(-6). Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Suppose 0 = 4*w + 4, p*v - 5*w + 23 = 4*v. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3017, 3500, 4021, 4580?\nAnswer: 5177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*2220965\nAnswer: -1332579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 + -130. Suppose 0 = 3*i - m - 78, 3*i = -m + 36 + 36. Calculate the remainder when c is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {m: 1, u: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -5.\nAnswer: -5, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t**5\/7 + 4*t**4 - 16*t**3\/7 - 16*t**2\/7 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112\/96*25\/(-70)*3\/2\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166969 = -171*p - 9970 + 546666. Which is smaller: 4114 or p?\nAnswer: 4114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*n**2\/3 - 38*n\/3 + 1\/3.\nAnswer: (19*n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 21*w**3 + 39*w**2 + 27*w + 42. Let f(a) = 11*a**3 + 20*a**2 + 14*a + 21. Let h(j) = 19*f(j) - 10*n(j). What is h(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170.5 + -32.6. Let p = c - -203. What is the biggest value in -14, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -43) + (9 - 0) + 6 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31602631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 8. Let p be t(5). Suppose 3*u - 2*i = 3, 2*u + 4*i - 6 = 4*u. Suppose -u*l = v - 4, -p*l - 19 - 25 = -2*v. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -26*v - 181 + 1341. Solve 62*d + 24 = v*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010784945 to 7 decimal places.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (17 - (13 - 9))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1584) - (sqrt(1584) + 1)*5))**2 - ((-2 + sqrt(396) + 0)**2 - ((1 + sqrt(396))*-5 - sqrt(396))).\nAnswer: 468*sqrt(11) + 24964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.39, -50, 8 in descending order.\nAnswer: 8, -40.39, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*m + 1134*m = -305*m - 236*m + 158068 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**4 + 714*t**3 - 714*t**3 + (-2*t**3 + t**3 - 8*t**2 + 6*t**2)*(-9 + 9 + 5*t))*(4*t - 5*t - t).\nAnswer: -16*t**5 + 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 times -8.5644\nAnswer: 0.2483676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(40)\/sqrt(4)) + sqrt(7))**2 + ((1*sqrt(84) - sqrt(84))\/sqrt(12))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 + 2*z + 5. Calculate f(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 6. Let t(k) be the third derivative of -k**4\/6 - k**3\/6 - 10*k**2. Let p be t(-2). Suppose -p*l = -l. Determine g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -32. Suppose 4*v + 3*z + 14 = z, 5*z = v + b. Sort 5, 4, v in decreasing order.\nAnswer: 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19099*c - 4636*c - 65066*c.\nAnswer: -88801*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 5*s - 5*s)*(-2 + 0 + 3)*(-1 - 1 + 4).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34143 - -152?\nAnswer: -33551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from hhhhqhqq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1957992 and 65688.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/20 + 5*z**4\/4 + z**3\/6 - 13*z**2\/2 + 2*z. Let g be u(15). Solve -d = -g*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -7*c**6\/120 - 13*c**5\/12 - c**4\/24 + 311*c**3\/2 - 2*c**2 - 2836*c. Find the first derivative of q(x) wrt x.\nAnswer: -21*x**2 - 130*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 33338*p**2\/3 - 92629632*p + 185214816.\nAnswer: -(p - 16668)**2*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*z - 317*z + 2 + 33*z + 80*z - 262*z to r*z + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -1\/2*a**2 - 28 - 2*a. What is j(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*b + 5, -3*b + 3*j = 4*j. Let d = 0.6 - 6.6. Let w = d - -7. Is w <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 8. Which is smaller: 15\/7 or g?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -582816.8182 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, 6, -141, 0.3, 1\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d - 29. Is j(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z - 4. Let w be a(-5). Let t(y) = 2*y**2 - 5*y + 3. Let l(o) = -4*o**2 + 11*o - 6. Give w*l(s) + 13*t(s).\nAnswer: 2*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53363152 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 - c**2)*(-2*c - 3*c + 3*c)*(3 - 2 - 2).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3\/237463042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 15*s + 10. Let q be (-86)\/6 + 5\/15. Let r be g(q). Let c be (36\/(-7065))\/(r\/10). Do c and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n - 6. Let w be 6 + n + (0 - -2). Suppose z + w = 17. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0883867 millennia in centuries?\nAnswer: 0.883867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -8. What is the second derivative of 3*s**5 + 18 - s - 11 - v wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s - 2*s - 2*s)*(4*s - s - 2*s) + 86 - 170 - 500*s**2 + 83 in the form t + n*s**2 + g*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105a - -5?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-23) - ((13 - -4) + -18). Let t(h) = -3*h**2 + h**3 - 2 - 5*h + 6*h + 1. Let q be t(3). What is the closest to q in 0, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4 + w - 1 + 4. What is the remainder when 28 is divided by x(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 29300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789*u + 112 = 785*u - 5*m + 57, 5*u - m = 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8840267 and 844.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**3 - 9. Find q, given that w(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbyyqyrrsbzqyssybyby. What is prob of sequence rbrs?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 504502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982087175.\nAnswer: 5, 29, 1354603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004616626 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/109 + -2741\/872. Calculate the common denominator of a and 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699538 is divided by 2741.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52151667355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, q: 2, x: 1, h: 1}. What is prob of picking 2 y, 1 x, and 1 q?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 7)*(24 + 6*v - 24) - 4*v + 15*v - v)*(-v**4 - v**4 + v**4).\nAnswer: -34*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.246 + 0.466. Which is the smallest value? (a) 0.4 (b) -1 (c) l (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d1 + 0?\nAnswer: 6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048260124 rounded to five decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - d**2 + 3*d**2)*(-d + 2 - 2).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 = -d, 5*h + 2*d + 8 = -2*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let j(t) = -15*t**3 - 7*t + 6. Let y(v) = -v + 5. Let b be y(6). Let p(i) = b*j(i) + 6*u(i). What is the second derivative of p(m) wrt m?\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 8 + 9 + 9*p - 21 + p**2. Let t(g) = 7*g**3 - 5*g**2 + 2*g + 2. Calculate the remainder when j(-17) is divided by t(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 412*i**2 - 7*i + 823*i**2 - 410*i**2. Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*t + 66 = 0, 308*i - 5*t = 303*i + 10. Calculate the lowest common multiple of 7232 and i.\nAnswer: 65088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4639\/1984 or -1?\nAnswer: -4639\/1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4821688 * 1.\nAnswer: -1.4821688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4223*d - 67. Let c be q(7). Suppose c + 398936 = 15*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.484 > 2\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 184*y - 7 - 1 - 4.\nAnswer: -184*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 8*m**2 - m + 6. Let a be s(8). Let g be (0*a\/6)\/(-1). Suppose -2*d - w + 12 = g, 10 + 2 = 2*d + 3*w. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 - 5*t + 8. Give y(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350\/1260*(-238)\/(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let m(p) = -3*p**2 + 4. Let b(w) = -1. Let i(y) = -12*b(y) - 3*m(y). What is i(l(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.17 from 123.644678.\nAnswer: 124.814678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 50*c + 2082. What is the remainder when d(-42) is divided by 864?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36621 is divided by 12205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 9. Let n be z(7). Let h = 9 - 7. Suppose -n = -h*d - 1. Let o(q) = 2*q**3 - 2*q**2 - q - 1. What is o(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -37*o + 13. What is the smallest common multiple of 8 and y(-6)?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -5225, -0.02?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/9 - 4*u**3 + 7306*u**2\/3 - 298816*u\/9 + 344960\/3 = 0. What is u?\nAnswer: -120, 7, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(15\/20). Let y be 36\/21 + (-2)\/(-7). Suppose y*q - 2*k + k - 3 = 0, 2*q - u*k = 4. Let s(x) = 5*x**2 - 1. Determine s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13916)\/(-193688) - 9\/66.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7983 = 10*l - l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttttkttktttt. Give prob of picking 1 t and 2 k.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((19\/(-76))\/(10\/(-64)))\/((-2)\/10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-52)\/(-65) + 11\/(-20)). What is the smallest common multiple of 11 and b\/(-20)*(-15)\/(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633679, 1267343, 1901007, 2534671, 3168335?\nAnswer: 3801999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -4*j - 4. Let u = 3 + 32. Let w = u + j. Which is the nearest to -2? (a) -0.5 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871071886, 871071884, 871071882, 871071880, 871071878?\nAnswer: 871071876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 d when three letters picked without replacement from fffddd.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889*p + 317*p**2 - 1889*p + 397*p**2 - 110*p**2.\nAnswer: 604*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9 + 48*c - 29 + 8 + 13. Let u be t(-2). Does 19 divide ((-24)\/(-30))\/((-1)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 689, 1174, 1391, 1340, 1021, 434, -421?\n\"Answer: -134*m**2 + 887*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 - 3*l - 4. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3 - 88*r**2 + 172*r = 0.\nAnswer: 0, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 15*t**2 + 31*t + 10. Let j be q(13). Let x be 3\/(-6)*(-9)\/6*20. What is the highest common divisor of x and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 56291*s - 1 - 56302*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-216)\/30)\/((-4)\/50). Suppose q - 18 = -j, -2*q + q + 3*j + 18 = 0. Calculate the highest common factor of u and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 648555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/(6\/(-14))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**4 + 28907*m**3 + 593*m**2 + 13*m - 3 wrt m.\nAnswer: -144*m + 173442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8509*t**2 + 284*t + 1155. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) - 1 - -4. Let b be (5 - f)*1*-5. Put 4, b, -1 in descending order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from nmcmfnmpmpfmfmcpp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b - 2. Suppose -6 = -4*k + 2*a, 2*k - 5 = 4*a + 13. Let m(w) = 10*w - 20*w + 9*w. Let o(z) = 2*z**2 + 3*z + 2. What is b*m(j) + k*o(j)?\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040503 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*y - 283*y + 99 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 113?\nAnswer: 25764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -216333 at least -216339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/13 - 996*i\/13 + 120802\/13 = 0.\nAnswer: 209, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25055 is divided by 24266.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwcc when four letters picked without replacement from {m: 2, c: 2, w: 2, s: 12}.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1026*r + 10020 = 1360*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 - 4)*-57*8\/(-96). Is 112 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**4\/4 + n**3\/3 - n**2 + n - 1. Let m(s) = -2*s + 19. Let h be m(9). Determine j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by (9 - -6)\/((-4)\/44 + 333\/396)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89939440, 89939443, 89939444, 89939443, 89939440, 89939435, 89939428?\n\"Answer: -k**2 + 6*k + 89939435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let l(i) be the second derivative of 0 + i - 1\/6*i**3 - 1\/2*i**2. Determine l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(119)*-2 + sqrt(119))\/sqrt(7) + 5 - (-5*sqrt(85)*1)\/(-3*sqrt(20)))*-5)**2.\nAnswer: -5875*sqrt(17)\/3 + 961325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5463 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208809048*k**2 + 310697507*k?\nAnswer: 417618096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -53*m. Let y(s) = 57*s. Let b(l) = -7*w(l) - 6*y(l). Let u(d) = -4*d**2. Determine b(u(g)).\nAnswer: -116*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 17. Let k be j(-7). What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687812 is divided by 671947.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9858 divided by 3286.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(63)\/sqrt(441) - (-4 + -3 + (sqrt(7) + 0 - sqrt(7)))) + 3)**2.\nAnswer: 16*sqrt(7)\/7 + 449\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31878 or -31664?\nAnswer: -31664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + 0*z**2)*(4*z - 4*z - z) + 661*z + 60*z**3 - 661*z.\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -25*m + 377. Let j be b(15). Sort 0, j, 66 in descending order.\nAnswer: 66, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142382329?\nAnswer: 6719, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 3086550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 214.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6262, 5406, 4564, 3742, 2946?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167, 344, 525, 710, 899, 1092, 1289?\n\"Answer: 2*q**2 + 171*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z + 11*z - 11*z - 27 + 4*z**2 - z.\nAnswer: 4*z**2 + 13*z - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-241941)\/(-35406)*2\/2009.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-42)*((-2)\/2)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 + 3*w**2 + 5*w**2)*(-2*w**2 + 0 + 0) + (-3*w**3 + 3*w**2 - 3*w**2)*(7*w - 17*w + 7*w) as t*w**2 + z*w**4 + o*w**3 + i*w + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134552, 134581, 134628, 134693, 134776, 134877?\nAnswer: 134996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -47460029\nAnswer: -47460025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f**2 + 58*f**2 + 32*f**3 - 33*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -863*0.1.\nAnswer: -86.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {o: 3, u: 6, s: 4, a: 1, x: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from ggieggqgqgggxqqxx.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let k be v(7). Suppose 0 = -l - 0 + k. Suppose -2*m - 17 = -l*b, -2*m - 1 = -2*b + 1. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11868\/32336)\/((-1702)\/(-296))?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 divided by -13.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 2. Let c be p(-3). Suppose -4*r - 53 + 13 = 0. Let y = -15 - r. Put y, -2, c in increasing order.\nAnswer: y, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211 - 184. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7014*y + 208708 + 368176 + 96460 = 0 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -23*y - 3. Let p be l(-1). Suppose -p*b = -17*b - 318. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:01 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -1, 2*q = 5*p - 4*p - 55. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/66917 and -8\/2623.\nAnswer: 2877431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14716 divided by -2\nAnswer: 7358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000867 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 111985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - -42. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 + m + 3. Let s be a(3). Let o = s - 4. What is the lowest common multiple of 3 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k + 2*y - 8, -9 = 3*k + 3*y. Let w(f) = 3*f - 2. Give w(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1703 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*99541725\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 852708482.000000616 + -852708503. Let u = v + 21. What is u rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1594 equal to -1594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 26578.\nAnswer: 292358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**5*u**2 + 2860*h**5*u + h**2*u - 452*h*u**2 + 43*h wrt h?\nAnswer: -240*h**2*u**2 + 171600*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/10*75\/(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272 + -318. Let r be (-3 + o\/(-14))\/((-247)\/(-133)). Which is the nearest to -0.2? (a) r (b) -1 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2. Let o(a) be the first derivative of a**5\/60 - 29*a**3\/3 + 3. Let d(r) be the third derivative of o(r). Calculate d(n(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38043 - 23770. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15455 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -79, -148, -221?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557016 is divided by 308?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9736, -13225, -16716, -20209, -23704, -27201, -30700?\n\"Answer: -f**2 - 3486*f - 6249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 + 8*m + 1. Let s be u(6). Let f be 6 - 24 - 10*(-3)\/6. What is the third smallest value in 0, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*x**5\/3 - 24*x**4 - 89*x**3\/3 + 22*x**2\/3 + 35*x + 50\/3 = 0. Calculate x.\nAnswer: -2, -5\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 10*b**2 - 56*b + 18. Let q be k(14). Put q, 1, 4, 0 in decreasing order.\nAnswer: q, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from vaaaaaaaaaaav.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i + 4. Let k be 4 - (-5 + (i - -2)). What is the second derivative of -k*f + 3*f - 2*f**2 + 4*f wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19075 - -24491. Solve -6*f - a = -5434 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*z - 23, -3*z + 3 = -3*i - 0. Solve -t = i - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 690396730 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*a + 418, -3*d + 6*a - 4*a + 310 = 0. What are the prime factors of d\/12 - (-2)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -107*j**5\/5 - 131*j + 204. Differentiate y(i) with respect to i.\nAnswer: -428*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 156*m = -29*m - 12*m + 1494 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4) - -4 - -1. Suppose 1 = d*u - 4. Sort u, 0, 3 in increasing order.\nAnswer: 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from xaxxa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9969.02l to millilitres.\nAnswer: 9969020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057196956 - -0.3?\nAnswer: 0.3057196956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let y(h) = 138341*h**2 + 29*h. Determine y(d(t)).\nAnswer: 553364*t**2 - 58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18564 - 18568. Let u = 0.98 - 1. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1094 + 1094.04. What is the second biggest value in -8, l, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:46 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u - 33. Round u to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -717 * 0.5.\nAnswer: -358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 21*g - 27. What is z(-13)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 + -76. Let y = a - -231.00000883. What is y rounded to seven dps?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*210.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20251, 20263, 20275?\n\"Answer: 12*a + 20239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = v + i, -204 = 4*v - 3*i + 731. Let d = v - -586. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.0756ml in litres?\nAnswer: 0.2150756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 - (-12)\/8. Let c be 3\/1 - (1 + 1). Solve a + c = -f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137\/8 + -11\/24. What is the common denominator of 45\/92 and k?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**(4\/21))\/r)*r)\/((r*r**(2\/9))\/r)*r**(-5\/7)*r**11)**(-2) assuming r is positive.\nAnswer: r**(-1496\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 11014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9598, 9604, 9614, 9628, 9646, 9668, 9694?\n\"Answer: 2*y**2 + 9596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -6. Find the first derivative of -9 + m**3 - m**3 + 12*m**4 + 0*m**a wrt m.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2120)\/159)\/(2\/(-3387))?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4\/2 - 39*p**3\/2 - 195*p**2\/2 - 153*p\/2 = 0.\nAnswer: -3, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:43 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12030 and 5190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4954 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 75 = -117. Let x(n) = 12*n**2 + 10. Let z(o) = -35*o**2 - 28. Let u(s) = y*x(s) - 5*z(s). Let m(k) = 3*k**2. What is m(u(v))?\nAnswer: 147*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 156 + 288 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 4 = -9*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.275736 and -231513763.\nAnswer: -231513762.724264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -40. Let v be (-714)\/14 + (u - -1). Is 3 a factor of v\/(-4) + (-78)\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 + 0.38. Does 12 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 11) to base 3.\nAnswer: 20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 413, 31.\nAnswer: 4, 5, 31, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 3. Let r be x(-4). Suppose -78 = -3*m + 2*j - 97, 264 = 24*j. What is the highest common divisor of m and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213273268 greater than 213273276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6948)\/(-965))\/(1\/(-5)). Let g(x) = x**2 + 37*x + 33. Give g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(-n - n + n)*(-2*n**2 + n**2 - n**2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 3*q**4 - 2*q**4 + (-2*q**2 + q**2 - 2*q**2)*(0*q**2 + q**2 + 0*q**2) + (-10*q**3 - 5 + 5)*(-5*q + 2*q + q).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14 + 160 + 72 + 17 - 3*y. What is the units digit of z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttl. What is prob of picking 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*o**2 - 11*o**2 - 137*o**2.\nAnswer: -250*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 15*m**2 + 30*m - 12. Calculate i(16).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 11*h**2 - 24*h**2 - 13*h**2 + 4*h**2 - 17*h**2.\nAnswer: -39*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 214, 723, 1712, 3337?\n\"Answer: 26*m**3 + 6*m**2 - 15*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1442*t - 1295*t + 4061 + 3436 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 6816\nAnswer: 11\/6816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1435, -1436, -1437, -1438, -1439, -1440?\n\"Answer: -t - 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/2, 2\/3, -5, -2 in increasing order.\nAnswer: -5, -2, 2\/3, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -937 + 1647. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 30. Let d be (7 - (5 - -4)) + t + 3. Solve -5*j + i + d = 0, 3*j = -j - i + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (15\/(-9) - 2\/6). Solve 0 = g*z + 2*f + 6, -2*f - 6 = -9*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1. Let c(j) = -2*j**2 + 35. What is -c(p) + 6*f(p)?\nAnswer: 2*p**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 28123.6.\nAnswer: 28123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 19 = -19*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j, -14 - 42 = 5*s + 4*j. Let d(i) = -i**3 - 8*i**2 + i - 2. Determine d(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 108 - 48)*(0 + 0 + 1)*(0*c - 2*c - c).\nAnswer: 507*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2813? (a) -3\/7 (b) 5 (c) -20727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 4 = p. Suppose u - 10 = -p. What is the units digit of (-20)\/80 + 58\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -112\/3. Sort w, 14, 0.2 in descending order.\nAnswer: 14, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33885 + 33884.887178. Let m = -0.513 - -0.4. Let f = n - m. Round f to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**4\/15 - 6248*f**3\/15 + 113914*f**2\/5 + 1054764*f = 0.\nAnswer: -3177, -30, 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 10) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 27*w**2 - 301*w + 4. What is the hundreds digit of u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 1. Let v be f(1). Let k(n) be the second derivative of -n + 1\/12*n**v + 0 + 1\/2*n**3 + 0*n**2. Find the second derivative of k(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 4*y - 3. Calculate h(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + -208?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 3 (c) -12608\/7 (d) 1\/3 (e) -0.5 (f) 181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -151*v**3 - 17. Let u(o) = 76*o**3 + 9. Let z(a) = 4*r(a) + 7*u(a). Differentiate z(b) wrt b.\nAnswer: -216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64288231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1461, -1395, -1327, -1263, -1209?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38075337 and 3.\nAnswer: 38075337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 4*z - 5*z + 51 = 0, 11282*y + 4*z - 49 = 11283*y - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*y - 78 + 78 - 22*y**2 wrt y?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 80*u**2 + 1170*u + 5404. Let d(a) = 2*a**3 + 78*a**2 + 1170*a + 5402. Let h(f) = 2*d(f) - 3*g(f). Factor h(n).\nAnswer: -2*(n + 13)**2*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27722 is divided by 27710?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 - -367. Let f be (-15)\/p + (-44)\/(-16). Solve -c + f = -4*r, r - 3 = -4*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3279479 in -7, -5, 4, -1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/30 - 6*k**5\/5 + 16*k**4 - 256*k**3\/3 - 2*k**2 + 3. Determine a so that l(a) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from omfooyfoofdf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 6*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551\/20 - -24. What is the common denominator of h and 23\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5.1, -2\/7, -0.723, -55?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**3\/7 + 298652*p**2\/7 + 1792344*p\/7 + 2688732\/7.\nAnswer: -4*(p + 3)**2*(4*p - 74687)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 516, -0.098, 0, 3 in decreasing order.\nAnswer: 516, 3, 0, -0.098, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l + 1. Let w = l - -3. Let s(k) = -k**3 + 3*k**2 - k. List the prime factors of s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. Let o be z(-2). Let t(m) = -m**2 + 2*m + 3. Let b be t(o). Let f = b + 5. Solve f = 2*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1391275247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86001250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 - -574. What is the greatest common divisor of 160 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c7c (base 15) to base 5.\nAnswer: 1423232","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3392547 is divided by 94237?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -2) - (-12 + 10 + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -7. Let u = m + 3. Solve 0 = u*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - (sqrt(405) + (1*sqrt(405))**2)) - (sqrt(320) + (3 + sqrt(320))**2).\nAnswer: -734 - 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/348 and 59\/44316.\nAnswer: 1285164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 69169.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*p*x**2 - k*p + 79*k*x - 22*k wrt x.\nAnswer: 2*k*p*x + 79*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 13*w + 48. What is i(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6 + 9. Suppose -4*p - 9 = -g, 0*g + 9 = -s*g. Let z(i) be the second derivative of i**4\/12 - 2*i**2 - 2*i. What is z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i = -62*i + 110. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2285799 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 minus 0.032?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/7 - 5424618*o\/7 + 16273836\/7 = 0. What is o?\nAnswer: 3, 2712306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906 - 2*g + 16*g + 912 - 6*g.\nAnswer: 8*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*-4 - 81\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -3 (c) -2 (d) -5 (e) 1.1148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -17 + (85 - 69 - (-2 - -12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*g**2*s + 15*f**2*g*s**2 + f**2*s - f**2 - 17*f*g**2*s**2 + 378*f*g**2 - 4*f*g*s**2 wrt s?\nAnswer: 30*f**2*g - 34*f*g**2 - 8*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**2*o*s*w + 26*i**2*o*s + 2*i**2*o*w**2 + 2*i*o*s*w**2 + 4*i*s*w**2 - i*s*w - 4*o*w wrt i.\nAnswer: -16*o*s*w + 52*o*s + 4*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 1. Let v(d) be the first derivative of -d**3\/3 - 9*d**2\/2 + 5*d + 5. Let k be (-54)\/27 - (1 + -3 - -10). Let m be v(k). Give l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2276770 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188122652?\nAnswer: 2, 29, 37, 53, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2283, -4574, -6875, -9192, -11531, -13898?\n\"Answer: -u**3 + u**2 - 2287*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.44 to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257 > 3254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 + 342 - (0 + -31)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 - 4. Suppose 2*p + 62 = -2*v, p - 3*v - 3 + 22 = 0. Let r be (-3 + p\/(-8))*0. Determine g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394 + 2724. Let m = f - 2208.7. Round m to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -77*d**2 + 2. Let m(l) be the second derivative of l**4\/12 - 51*l. Determine p(m(q)).\nAnswer: -77*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q - 2*q)*(-q**2 - 5 + 2*q**3 + 5) to the form i*q + j*q**4 + f + p*q**2 + r*q**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*u - 3005 = 0, 5*i = 7*u - 3*u + 5051. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let y(u) = -10*u**2 - 11*u + 11. Suppose -3*o + 0*o = -6. Let b(r) = -r**2 - r + 1. Let z(d) = o*y(d) - 22*b(d). Determine z(f(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-13)\/260 + 93\/210.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1.25. What is s rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505.296 decades in years?\nAnswer: 65052.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6835.6 - -3384\nAnswer: 10219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10 - 312\/(-42)) + 10 and 32\/119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62243190 to the nearest one hundred thousand.\nAnswer: 62200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-70) + 251\/(-290). Let l = 30\/29 - i. Factor 3\/5*u**3 + 2\/5*u**2 - l*u + 2\/5.\nAnswer: (u - 1)*(u + 2)*(3*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221549 rounded to the nearest 10000?\nAnswer: -4220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 83003886.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(252) - (sqrt(252) - (2 + sqrt(252))) - sqrt(252)) + (sqrt(252) + sqrt(252)*-2)*5.\nAnswer: -30*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4733 = -3*b - b, 4728 = 4*b + 4*o. List the prime factors of b.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and -50\/300387.\nAnswer: 901161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*u + 21, 3*u = h + 6*u + 1. Sort 10, -8, h.\nAnswer: -8, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 9, p: 1}. Give prob of sequence sp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.16, 3, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 21 = 2*v - 14, -2*v - 5*q - 212 = -227 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70971225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*h + 25 = 0, 5*s - 3 = 7*s - h. Sort 0.1, -13, s in descending order.\nAnswer: s, 0.1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 - -331. Is k > -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 384813*s**2 - 384813*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let r(t) = t**2 - 8*t + 11. Let w be r(8). Let k(g) = g - 15. Let m be k(w). Which is the nearest to h? (a) 0.4 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1012 + 1001. Calculate the remainder when 283 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 10*m - 7. Let a be b(9). Suppose -z = a*z - 6. Let w(o) = -6*o**3 - 4*o**2 + 4*o - 2. Let v be w(z). What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -860276*f*l**3*z + 198007*f*l*z**2 + 2*f*l + 3*l**3*z**2 - 14*l*z**2 wrt l.\nAnswer: -5161656*f*l*z + 18*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 18 - 13*c - 18.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.1. Let s = 2256480\/7 - 322352. What is the second smallest value in s, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46558056 rounded to 4 dps?\nAnswer: 1.4656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-598)\/37375*-50)\/((-4)\/(-9))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84048 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1035 or 1069?\nAnswer: 1069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1242?\nAnswer: -1\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 6*t**2 + 6*t - 1. Suppose 3*u - 9*n = -6*n + 15, -5*n = 5*u - 5. Let s = 20 - u. What is the remainder when s is divided by o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96.6 + 97. What is the closest to -1\/3 in s, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -160, 350, 1194, 2366, 3860, 5670, 7790?\n\"Answer: -d**3 + 173*d**2 - 2*d - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24171 divided by -2330?\nAnswer: 24171\/2330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 3:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1376, -2740, -4046, -5288, -6460, -7556?\n\"Answer: g**3 + 23*g**2 - 1440*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*x - 4 = 0, 5*j - 2 - 3 = 5*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624848 is divided by 5803.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**4 + 75*s**3 - 78*s**2 + 15*s.\nAnswer: -3*s*(s - 5)*(s - 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, 19, -48, 1\/15 in descending order.\nAnswer: 252, 19, 1\/15, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 90850*k - 412686125 = 0. What is k?\nAnswer: 9085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12)*40\/(-85). Let r = -125\/357 + f. Is 0 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 1\/2, 0.1, -2 in descending order.\nAnswer: 120, 1\/2, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7355 + -7360. Which is the biggest value? (a) 0.46 (b) -0.2 (c) v (d) 2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t + 10. Let b be k(6). Let n = -20 + 22. Factor 91*h**b + 8*h**n + 10*h**3 - 55*h**4 + 15*h**3 + 19*h**3.\nAnswer: 4*h**2*(h + 1)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 77*d - 80 = 0. Calculate the greatest common divisor of d and 77.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 23*g**2 + 80*g + 45. Give m(-26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(1 + ((sqrt(19) + -1 + sqrt(1539))**2 + sqrt(19) - (0 + -1 + sqrt(19)) - ((sqrt(684) + 1)**2 + 0))).\nAnswer: -192*sqrt(19) + 7308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.779738 days in nanoseconds?\nAnswer: 67369363200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 - -18) + 16\/2. Solve 3*j + 3*i + d = -j, j - 16 = 4*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjnn when four letters picked without replacement from snjnsjsnnjnnn?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645912 at least 7937738\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.1298 millennia to centuries.\nAnswer: 9171.298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -2*t**7\/105 - 3*t**5\/10 + 2*t**2. What is the third derivative of h(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aee3e - 1c?\nAnswer: aee22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7979 and 3.\nAnswer: 5.3937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*w + 4, 4*x + 2*w - 8 = -0*x. Let o(s) = -2*s + 7*s**2 - 4*s**2 - 4*s + 2. Does 13 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42366*h**3 + 7*h - 4233300?\nAnswer: 127098*h**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853956, 853958, 853960, 853962, 853964, 853966?\nAnswer: 853968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.132 - 3.08. Round t to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 39*g**2 - 1 + 29*g**2.\nAnswer: 64*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8861627 + -3147468. Let m = o + 6959095. What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000145443 rounded to seven decimal places?\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 = 7*b. Suppose 0 = b*n + 3*y - 159, 185 = 5*n - 3*y - 181. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + b - 2. Let s(f) = -699*f**3 + 9786*f**2 + 4893*f - 9786. Determine -9786*m(o) + 2*s(o).\nAnswer: -1398*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 124986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 271148*l**3 + l**2 - 3*l + 4. Let d be f(3). Round d to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -104084 in decreasing order.\nAnswer: 3, -1, -104084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1921509.41529 and -3.\nAnswer: 1921506.41529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 77 = -51. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 35*b**2 + 12*b + 2601. What is w(-33)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let b(a) = a**3 - 7*a**2 - 2*a + 6. Suppose -y = 3*v + 5, -2*y - 15 = -7*y + 5*v. Let u(r) = y*b(r) - 6*x(r). Does 22 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -i + 6*i + 5*r, 2*r = -5*i - 282. Let s = -103 - -102. Let j = s - i. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let j(h) = -5*h**3 + 4*h + 4. Let b(n) = 14*n**3 - 11*n - 11. Suppose -2*w = -24 + 8. What is k*b(q) + w*j(q)?\nAnswer: 2*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 0.4 (c) 3 (d) 6 (e) 51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/56 + (-13)\/(15600\/(-538)) and 131\/90.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -65*w + 934. Let c(r) = r. Calculate s(c(f)).\nAnswer: -65*f + 934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/3)*(t*t**(-1))\/t*t**(-5)\/t**(-5))**(-9) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + s + 0 = -5, s + 5 = 0. Sort w, -1, -2, 4 in decreasing order.\nAnswer: 4, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72501 = -r - y - 3*y, -4*r - 290004 = 3*y. Let n be (4\/4 + r)*-4. What is n rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1700286161 divided by -2\nAnswer: 1700286161\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 974844 divided by -4166?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(17)*1)**2.\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/123 and 1\/1148.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*j - 5*r + 1430, 2*j - r - 710 = 0. Let k be (-17672)\/(-96) - -4 - 9\/108. Let u = j - k. Is u a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -17*a**8\/336 + a**5\/20 - 77*a**4\/8 - 30*a**2 - 6. What is the second derivative of p(l) wrt l?\nAnswer: -340*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 6 + 2*g + 7)*(-4*g + 2*g - 4*g).\nAnswer: -6*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 9:08 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 2\/7 (c) -4.572 (d) 2 (e) -2\/13 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -203\/64020 and -161\/660.\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -4)*3\/2. Let s(v) = 6 + a*v - 3*v**2 - v**3 - 3 + 2. What is the remainder when s(-5) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k - k)*((-3 + 5 - 6)*(6*k - 2*k - 3*k) + 2*k + 2 - 2).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -9346?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*j + 160160 = 290*j. Solve j*t - g = 311*t + 9, -t + 4*g = 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3352778*n**3 - 76055*n**2 - n + 10.\nAnswer: 20116668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*104.8.\nAnswer: 282.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 20. Let m(d) = -2*d - 20. Let j(n) = -4*m(n) + 3*p(n). Let c be j(12). Find the first derivative of -3 - 4*r + c + 4 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121222 (base 3) in base 7?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 936*d + 87806. Give n(-94).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 2*w + 7. Let x(p) = -6*p**2 - 6*p - 20. What is -17*s(q) - 6*x(q)?\nAnswer: 2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/11, 1\/5, -16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-3192)*-30)\/((-120)\/(-588)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -127. Find the common denominator of 15 and (-9)\/(-12)*7\/d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268 (base 14) to base 5\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*a + 4 = -585*a, -2*a = -5*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/4 + 38*n**2 - 75*n = 0.\nAnswer: 0, 2, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from bwibiibwbbiwi?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/167, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -5 (c) -32 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -49671.429 to the nearest ten.\nAnswer: -49670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**3 + 8*r**2 + 254*r - 1535. Determine j(5).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4\/5 + 1286*s**3\/5 + 47082*s**2\/5 - 1664486*s\/5 - 342056 = 0.\nAnswer: -55, -1, 23, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 9:12 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 524 and 35600?\nAnswer: 4663600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0312 and -3.4.\nAnswer: -0.10608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2391 divided by 3.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0*a**2 - 10046*a + a**2 + 10065*a + 8 + 6. Calculate w(-14).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let w be (-6)\/(-8) + 46\/(-8). Let d = 2.945 + 0.055. Which is the nearest to m? (a) w (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3924c - -10?\nAnswer: -3923c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40626159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4\/4 + -5. Let s be 3*(v\/(-27) + 6\/54). Is s greater than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (240\/(-56))\/15 - 16\/(-7). Suppose 5*x - 291 = -5*d + c*d, 4*d = 4*x - 252. Calculate the highest common divisor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmcmzzmmzmmmzczcmzm. What is prob of picking 2 m and 1 z?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w + 18*w + 18*w - 20 + 11*w - 20*w**2 + 22*w**2. Give k(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 1969*a**7\/70 + a**6\/120 - 1571*a**5\/12 + 463*a**2 - 10*a - 2. What is the third derivative of s(c) wrt c?\nAnswer: 141768*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-620018)\/(-21) + 3 - 4\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14300 - -18054. List the prime factors of y.\nAnswer: 2, 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/18 + 8274\/378. What is the closest to 0.1 in 0, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5470 divided by -1094\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j**4 + 0*j**3 + 1\/5*j**5 - 3*j - 2 + 0*j**2. Differentiate z(u) with respect to u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 30. Let d be r(-7). Are 0.6 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/4 + 2. What is the third biggest value in -4, 2\/7, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 7) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 10) to base 6\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s - 5*s - 5*s to the form f*s + o and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 2367 and 2469 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1302309725255.\nAnswer: 1302309725254.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 121187*n - 121182*n + 81, 0 = n + 3*m + 93 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159003098 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-611)\/(-39))*2\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1246039 and 95.\nAnswer: 6230195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 - 12*p**2 - 64*p**2.\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-3))\/((-15)\/(-54)))\/((-4)\/((-160)\/(-60)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at most as big as -2.9965868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 770 + -778. Which is smaller: -21 or a?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14577*r + 189487. Give o(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/21, 1, 0.02, -4 in ascending order.\nAnswer: -4, -2\/21, 0.02, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:05 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.1198652993 and -0.03?\nAnswer: 5.1498652993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (3 - (1 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7539 - -7539.3. Put 5, 0.2, -7\/3, y in descending order.\nAnswer: 5, y, 0.2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/(-9))\/((-1)\/(-777)). Is 3 - 1 - z\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 3*f**3\/2 - 25*f**2\/2 + 13*f. Calculate the remainder when r(8) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87330 + 2*x**4 + x + 87330 + 6*x**3 as i*x**4 + w*x + t*x**2 + d + v*x**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 520\/(-40) + 3531\/55 + (-3)\/15.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168820.344 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3111 + 8458192.9.\nAnswer: 8455081.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3319 - 3199. Let u = 72 - 131. Let g = u + n. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q - 20 = -30*q, -2*q = -v + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/55000 and -89\/2695000.\nAnswer: 2695000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from mqkmqmkqkqkqk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 0.2, 13, 2\/17, -31.9, 0 in ascending order.\nAnswer: -31.9, 0, 2\/23, 2\/17, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dndb when four letters picked without replacement from {d: 4, n: 1, b: 2, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161794001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 102, 87, 66, 39, 6, -33?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 4\/3, -1\/28, -3\/2?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + i**2 + i + 1. Suppose 6*t = 8*t - 4. Let h be m(t). What are the prime factors of (3\/h)\/(1\/(-69))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15\/44, -2, -1\/9, -83?\nAnswer: 15\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + 6*y**2 - 2*y**2 - 2*y**2 + 3*y**2 + 0*y**2 + (-1 + 1 - 1)*(3*y - y**2 - 3*y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 12*q**4\/7 + 584*q**3 + 357568*q**2\/7 + 228864*q + 258048 = 0.\nAnswer: -168, -8\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or 53?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102846?\nAnswer: 2, 551423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.08 - -6. Let n = f - 1. Let r = 0.18 + n. What is the closest to r in -1\/6, -0.4, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0381 and -209.\nAnswer: 7.9629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/236426 and 113\/10.\nAnswer: 1182130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 2, e: 12}. Give prob of sequence ee.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*d - 2958, 2*a + 2*d - 3085 = 2837. Is a a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4448.228cm?\nAnswer: 44.48228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*2*(-4)\/(-16). Suppose s - 4 = 2*s + 3*r, -3*s + 6 = x*r. Suppose -3*c = -4*k + 93, 2 - s = c. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from thftohv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 4*d. Suppose -2*c = c - d*p - 6, c - 4*p + 7 = 0. Suppose 10 = -5*r + c*q, 14 = 3*r + q - 0*q. Sort r, -1, -4.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let m(k) = k**2 - 1. Let p be m(a). Suppose 0 = b - p*b + 4. Sort 5, -1, b in descending order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1060*m + 2422 wrt m?\nAnswer: 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 54 - 31 + 13 + (2*y + y - 5*y)*(-2 + 2 + 2).\nAnswer: -5*y + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000021210201 - -101?\nAnswer: -1000021210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*t + 3801 + 1987 + 2240 = -62*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -105. Let x be -1 - ((2 - 3) + 3). Sort x, k, -7, 4 in decreasing order.\nAnswer: 4, k, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229.4 - -401.1. Let f = -631 + j. Which is the nearest to 1? (a) 3 (b) f (c) -0.03 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223.6 + -224.30014. Let q = -0.7 - x. Round q to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 16031*v - 64105. What is u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 + 3*m**2\/2 - 3*m + 5. Let o(g) = -2*g**2 + 3*g - 4. Determine 3*o(j) - 4*v(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 15 = -3*k, -5*k = x - 15. Suppose 1 - 17 = -4*n. Let l(w) = -w**3 + 6*w**2 - w. Calculate the remainder when l(n) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1.2 (c) -3 (d) -11 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32190808619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 48*u + 108 = 0. Calculate u.\nAnswer: -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.06 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/7 + 16294*s**4\/7 + 40254710*s**3\/7 + 28794640898*s**2\/7 + 894111544240*s + 6230026407200\/7 = 0 for s.\nAnswer: -3580, -493, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -120, 1 in descending order.\nAnswer: 2, 1, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 3, p: 3, u: 3, h: 3, v: 1}. Give prob of picking 1 t and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 0.2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 7*f + 6. Suppose 2*g + 8 = 0, -q - 2*g - 10 = -g. Let l = 4 + q. Let s be ((-1)\/(-3))\/(l\/(-30)). Calculate r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 42*h**2. Let n(i) = 3130*i**2. What is n(l(f))?\nAnswer: 5521320*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -6 - 4\/4. Suppose -3 = -h*j + 5. Suppose -j*b + 5*b - 36 = -5*s, -b - 4*s = -19. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71318540663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (1*sqrt(3087) - sqrt(63)))\/(sqrt(576) + sqrt(576)*-3) - (5*sqrt(35)\/(sqrt(15)\/sqrt(3))*5 + 1).\nAnswer: -407*sqrt(7)\/16 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2745.94 rounded to zero dps?\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -159768 divided by -8876?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-3)*(-9 - -6). Let h(q) = 3*q**2 - q. Let p be h(-1). Suppose 4*d - 2 = -b + 15, 0 = -p*b + 4. Sort u, -2, d in decreasing order.\nAnswer: u, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -u + 2*d, -u + 0*u - 4*d - 41 = 0. Let z = 42 + u. Put 5, 0, -5, z in ascending order.\nAnswer: -5, 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37555600 to the nearest integer?\nAnswer: 6128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.051 and 1263.\nAnswer: 64.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 595*p - 156*p - 3 + 68*p.\nAnswer: -683*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 39552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/10 + 1\/10. Let f(j) be the first derivative of -j**3\/3 - 3*j**2 - 5*j + 3. Let r be f(-5). Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -6, -16?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 17. Let w = -1666013.000045 + 1666022. Let p = w + c. Round p to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16054*n**5 - 4635*n - 1 wrt n.\nAnswer: -321080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let t(u) = -2*u + 4. Let n be 1\/(1*-3) + 124\/93. Determine n*t(k) - 6*l(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k**3 + 26*k**2 + 9*k - 92. Let h(q) = -5*q**3 + 12*q**2 + 5*q - 45. What is 13*h(n) - 6*o(n)?\nAnswer: n**3 + 11*n - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 10 = 4*b + 18, 0 = 2*b + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 947 - 1944. Let p = r + 996.99597. What is p rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 88*y**2 - 301*y - 520. Differentiate h(r) wrt r.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-6)\/((z\/(z\/z**(2\/3)*z))\/z**(-7))*((z**(-7\/4)\/z)\/z**(-2\/9))**(2\/59) assuming z is positive.\nAnswer: z**(-4382\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 56*i**2 + 5*i - 4. Let j be g(1). Suppose 0 = 2*h - 495 + j. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23004?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6890109 to the nearest integer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-32 + -2)*-3. Let g = 110 - a. Solve g*s + 3 = -15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/52 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99638 is divided by 2841.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r, 82*o - 79*o - 47*r = 201 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27398.61m to micrometers.\nAnswer: 27398610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 5*f + 2. Let g(r) be the second derivative of r**4\/4 + 8*r**3\/3 + 3*r**2\/2 + 8*r. Let c be g(-5). Let p be c*(-25)\/30*-3. Determine b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 30\/67 (c) -1.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10298 - -10296. Put -31, -51, p in decreasing order.\nAnswer: p, -31, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plorlrrbkkppolrrrkr. Give prob of picking 1 k and 1 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.26 from 250.\nAnswer: 250.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2168.285 - -0.1.\nAnswer: -2168.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 28 + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfhde. Give prob of sequence ed.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 4*m. Let f be k(3). Suppose u - f = 5*p, u = -2*u. Is ((-1)\/(-2))\/(p\/(-942)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2, 2, 2\/5, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}